Data summaries

BUTTERFLIES: Tania recorded the number of butterflies she saw on her daily runs each day
for a week. The numbers are: 1, 8, 2, 2, 5, 6, and 4. Find the mean, median, and mode of the
data. Which measure(s) are appropriate to accurately summarize the data?

Answers

Answer 1

The measures that are appropriate to accurately summarize the data are the mean and the median

Finding the mean, median, and mode of the data

From the question, we have the following parameters that can be used in our computation:

1, 8, 2, 2, 5, 6, and 4

When sorted we have

1, 2, 2, 4, 5, 6, 8

The mean is calculated as

Mean = (1 + 2 + 2 + 4 + 5 + 6 + 8)/7

Mean = 4

The median is the middle value

So, we have

Median = 4

The mode is the data with the highest frequency

So, we have

Mode = 2

Lasltly, the measures that are appropriate to accurately summarize the data are the mean and the median

Read more about mean median mode at

https://brainly.com/question/14532771

#SPJ1


Related Questions

A one-sample z-test for a population proportion p will be conducted. Which of the following conditions checks that the sampling distribution of the sample proportion is approximately normal?
The sample is selected at random.
np0≥10 and n(1−p0)≥10 for sample size n.
The sample size is less than or equal to 10 percent of the population size.
I only
A
II only
B
III only
C
I and II only
D
I, II, and III

Answers

The correct answer is B) II only.

The condition that checks that the sampling distribution of the sample proportion is approximately normal is II only, which is np0≥10 and n(1−p0)≥10 for sample size n.

Option I is not sufficient by itself to ensure normality of the sampling distribution. While random sampling is important for reducing bias in the sample, it does not guarantee that the sample proportion will have a normal distribution.

Option III is not relevant to the normality of the sampling distribution, as it pertains to the sample size relative to the population size and not the distribution of the sample proportion.

Therefore, the correct answer is B) II only.

To learn more about sampling distribution visit: https://brainly.com/question/13501743

#SPJ11

what do you think is the best statistic (mean, median, or mode) to use to describe each of the following? why? (use complete sentences) los or charge - admission source - gender - discharge status

Answers

The best statistic to use to describe each variable will depend on the specific characteristics of the data distribution and the research question of interest. However, in general:

LOS (length of stay): The most appropriate statistic to use to describe LOS would be the median, as it is less affected by outliers and skewed distributions than the mean. The median represents the central value of the distribution, i.e., the value that separates the top 50% from the bottom 50% of observations. This is useful in understanding the typical or average length of stay, without being overly influenced by unusually long or short stays that may be present in the data.

Charge: The most appropriate statistic to use to describe charges would be the mean, as it is a measure of central tendency that reflects the total amount charged divided by the total number of cases. The mean is sensitive to outliers and extreme values, so if the distribution is heavily skewed or contains extreme values, the median may be a more appropriate measure.

Admission source: The most appropriate statistic to use to describe admission source would be the mode, as it is a categorical variable that represents the most common source of admission. The mode provides insight into the most frequent route of admission for patients, which can be useful in identifying patterns and trends in patient flow.

Gender: The most appropriate statistic to use to describe gender would be the frequency or count of males and females in the dataset, as it is a binary categorical variable. The frequency provides insight into the distribution of males and females in the sample, which can be useful in identifying gender-related disparities or trends in healthcare utilization.

Discharge status: The most appropriate statistic to use to describe discharge status would be the frequency or count of each category of discharge status, such as home, skilled nursing facility, hospice, etc. This provides insight into the distribution of patients' discharge destinations, which can be useful in understanding the healthcare needs and outcomes of different patient populations.

To learn more about understanding visit:

https://brainly.com/question/10714257

#SPJ11

The operations manager at a large newspaper wants to estimate the proportion of newspapers printed that have a non- conforming attribute. Using the Define, Collect, Organize, Visualize, and Analyze steps, you define the variable of interest as whether the newspaper has excessive ruboff, improper page setup, missing pages, or duplicate pages. You collect the data by selecting a random sample of n = 200 newspapers from all the newspapers printed during a single day. You organize the results, which show that 35 newspapers contain some type of non-conformance, in a worksheet. What is the Standard error of the mean (SEM) when a 93% confidence interval for the proportion of newspapers printed during the day that have a non- conforming attribute?

Answers

Let's go through the process step-by-step to find the Standard Error of the Mean (SEM) for a 93% confidence interval for the proportion of newspapers with a non-conforming attribute.

Step 1: Define the variable of interest
The variable of interest here is whether the newspaper has a non-conforming attribute, which includes excessive ruboff, improper page setup, missing pages, or duplicate pages.

Step 2: Collect the data
You have already collected the data by selecting a random sample of n = 200 newspapers from all the newspapers printed during a single day.

Step 3: Organize the data
You have organized the results, which show that 35 newspapers contain some type of non-conformance, in a worksheet.

Step 4: Calculate the proportion
Now, we need to calculate the proportion of non-conforming newspapers:
Proportion (p) = (Number of non-conforming newspapers) / (Total number of newspapers in the sample)
p = 35 / 200 = 0.175

Step 5: Calculate the Standard Error of the Mean (SEM)
The formula for the SEM is:
SEM = sqrt[p * (1 - p) / n]
where p is the proportion of non-conforming newspapers and n is the sample size.
SEM = sqrt[0.175 * (1 - 0.175) / 200]
SEM ≈ 0.0283

So, the Standard Error of the Mean (SEM) for a 93% confidence interval for the proportion of newspapers with a non-conforming attribute is approximately 0.0283.

Learn more about Standard Error of the Mean here: https://brainly.com/question/14524236

#SPJ11

Choose the answer based on the most efficient method as presented in the lesson.
If the first step in the solution of the equation -x+6=5-3x is "subtract 5," then what should the next step be?
O add x
O add 3x
O subtract 6
NEXT QUESTION
READ NEXT SECTION
O ASK FOR HELP

Answers

The next step in solving the equation, if the first step was to subtract 5, is to A. add x.

How is this the next move ?

To solve the equation -x + 6 = 5 - 3x, given that its first step is "subtract 5", one should move on to the next step which requires adding x to both sides of the equation.

Upon completing this newly introduced action, the resulting equation can be viewed as follows:

-x + 6 - 5 = 5 - 3x - 5

-x + 1 = -3x

-x + x + 1 = -3x + x

1 = -2x

By isolating x term on the right side of the equation through addition, resolving for x will become much more manageable and feasible in the succeeding steps.

Find out more on steps at https://brainly.com/question/29785805


#SPJ1

what is 80 cm equal to?

Answers

Equal to what measurement

Can someone help me asap? It’s due today!! I will give brainliest if it’s all correct!!

Answers

Answer:

1) b. 3

2) a. 5

3) c. 4

4) d. 6

Step-by-step explanation:

Write the equation for a quadratic function that has x-intercepts (-2,0)
and (7,0) and passes through the point (5,-42).

Write the equation for the quadratic function in factored form, Show your work in the space provided.

Answers

The equation of the quadratic function in standard form is -6/25(x - 7)(x + 2) = 0 and the factored form is (x - 7)(x + 2) = 0.

To find the equation of the quadratic function, we need to use the x-intercepts to write the equation in factored form, which is (x - r)(x - s) = 0, where r and s are the roots of the equation. In this case, the roots are -2 and 7, so the factored form of the equation is (x + 2)(x - 7) = 0.

To find the value of a in the standard form equation, we need to use the point (5,-42). We substitute x = 5 and y = -42 into the standard form equation and solve for a. This gives us the equation -2a + 15b + c = -42.

We can also find the value of c by substituting one of the x-intercepts into the factored form equation. If we substitute x = -2, we get (-2 + 2)(-2 - 7) = 0, which simplifies to -18 = c.

Substituting this value of c into the equation -2a + 15b + c = -42 gives us -2a + 15b - 18 = -42, which simplifies to -2a + 15b = -24.

Finally, we can use the factored form equation to solve for b. Expanding the equation (x + 2)(x - 7) = 0 gives us x² - 5x - 14 = 0. Using the quadratic formula or factoring, we find that the roots are -2 and 7, which are the same as the x-intercepts.

We can therefore write the equation in standard form as a(x - 7)(x + 2) = 0. To find the value of a, we use the equation -2a + 15b - 18 = -42 and the value of b = -1 to get a = -6/25.

To know more about equation here

https://brainly.com/question/10413253

#SPJ1

ASAP. Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help Pls help ASAP

Answers

Answer: I don't know, sorry!

Step-by-step explanation:

Answer:

Step-by-step explanation: soz cn't help

Find the equation of the line with slope = -10 and passing through (-5,-4). Write your equation in point-slope AND slope-intercept forms

Answers

The equation of the line in point slope form and slope intercept form are y + 4 = -10 (x + 5) and y = -10x - 19 respectively.

Given that,

A line passes through the point (-5, -4) and the slope is -10.

The equation of the line in point slope form can be written as,

y - y' = m(x - x')

where m is the slope and (x', y') is the point on the line.

Substituting,

y - -4 = -10(x - -5)

y + 4 = -10 (x + 5), which is the point slope form.

Simplifying,

y + 4 = -10x - 15

y = -10x - 19, which is the slope intercept form

Hence the point slope form is y + 4 = -10 (x + 5) and the slope intercept form is y = -10x - 19.

Learn more about Point Slope form here :

https://brainly.com/question/29054476

#SPJ1

I need the answer please anybody and I need to get it right!

Answers

The correct statement regarding the data-sets is given as follows:

A. A girl is 10% more likely to work after school than a boy.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of 30 boys, 18 work after school, hence the probability is given as follows:

18/30 = 0.6 = 60%.

Out of 20 girls, 14 work after school, hence the probability is given as follows:

14/20 = 0.7 = 70%.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

14. What are the necessary steps one must take when designing a logic circuit from a description of the problem?

Answers

When designing a logic circuit from a description of the problem, there are several necessary steps that must be taken.

When designing a logic circuit from a description of the problem, the necessary steps you should take are:
1. Understand the problem: Carefully read and analyze the problem description to determine the input and output requirements.
2. Identify inputs and outputs: List down all the required inputs and outputs based on the problem description.
3. Define truth table: Create a truth table that represents the relationship between the inputs and outputs of the circuit.
4. Simplify the Boolean expression: Use Boolean algebra or Karnaugh maps to simplify the Boolean expression derived from the truth table. This will minimize the number of gates required in the circuit.
5. Select appropriate logic gates: Based on the simplified Boolean expression, select the necessary logic gates (AND, OR, NOT, etc.) to build the circuit.
6. Design the circuit: Connect the selected logic gates to create the desired logic circuit, ensuring proper connections between inputs, gates, and outputs.
7. Verify the design: Test the designed circuit using various input combinations and ensure it produces the correct output as per the problem description.
By following these steps, you can successfully design a logic circuit that meets the requirements of the given problem.

To learn more about the logic circuit, refer:-

https://brainly.com/question/24158240

#SPJ11

Determine the value of the constant c that makes the probability statement correct: P(-esz Sc) = 0.252 (Please round your solution at the third decimal place). O 0.374 O 0.321 O 0.668 O 0.552 something else

Answers

The value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct is 0.68. To determine the value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct, we need to use the complement rule, which states that P(A) = 1 - P(A').



In this case, we can rewrite the statement as P(-esz Sc)' = 0.748 (since the complement of the event "-esz Sc" is "esz Sc'").

Next, we need to use the standard normal distribution table or calculator to find the z-score that corresponds to a probability of 0.748. The closest value we can find is 0.7464, which corresponds to a z-score of -0.68 (rounded to two decimal places).

Now we can use the standard normal distribution formula

[tex]z = (x - mu) / sigma,[/tex]

where mu is the mean (which is 0 for the standard normal distribution) and sigma is the standard deviation (which is 1 for the standard normal distribution).

Plugging in the values we have, we get -0.68 = (-c - 0) / 1, which simplifies to -0.68 = -c. Solving for c, we get c = 0.68 (rounded to two decimal places).

Therefore, the value of the constant c that makes the probability statement P(-esz Sc) = 0.252 correct is 0.68.

Learn more about constant here:

https://brainly.com/question/14159361

#SPJ11

Determine the minimum number of people at a party so that at least one of the following occurs:
• There are three people that are face-to-face acquaintances (f2f friends),
⚫ there are three people that have met online, but not face to face (online friends) or
⚫ there are three people that are mutual strangers, having never met before.
The pigeonhole principle should be useful here. We discussed a similar situation in class on 10/22.

Answers

To determine the minimum number of people at a party so that at least one of the three scenarios occurs, we can use the pigeonhole principle.

If we consider each person as a pigeon and each scenario as a hole, we need to determine the minimum number of pigeons (people) such that at least one hole (scenario) has three pigeons (people) in it.

For the first scenario, we need to find three people who are f2f friends. This means that each person needs to have two f2f friends (excluding themselves). So, if we have two people at the party, they cannot be f2f friends, and if we have three people, they can all be f2f friends. Therefore, the minimum number of people needed for this scenario is three.

For the second scenario, we need to find three people who have met online but not f2f. This means that each person needs to have two online friends (excluding themselves). If we have two people at the party, they cannot have any online friends, and if we have three people, it is possible that one person has two online friends while the other two have none. Therefore, the minimum number of people needed for this scenario is three.

For the third scenario, we need to find three people who are mutual strangers, having never met before. This means that each person needs to be a stranger to the other two people. If we have two people at the party, they cannot be strangers, and if we have three people, it is possible that all three are strangers to each other. Therefore, the minimum number of people needed for this scenario is three.

Therefore, the minimum number of people needed at the party so that at least one of the three scenarios occurs is three.
Using the pigeonhole principle, let's consider three categories for party attendees: face-to-face friends, online friends, and mutual strangers.

To ensure at least one of the given scenarios occurs, we need to apply the pigeonhole principle to each category, considering a group of three people. This means we will have three pigeonholes and need to find the minimum number of attendees to guarantee that one of the pigeonholes will have at least three people.

If there are two people in each category, there's no guarantee that any of the given scenarios will occur. Therefore, we need at least three people in one category. When we distribute three attendees across each category (2 f2f friends, 2 online friends, and 2 strangers), the next person attending the party will force at least one category to have three people.

Thus, the minimum number of people at the party to ensure one of the given scenarios occurs is 2+2+2+1 = 7 people.

Visit here to learn more about pigeonhole principle brainly.com/question/30322724

#SPJ11

(Dilations MC)
Triangle ABC with vertices at A(-1, -1), B(1, 1), C(0, 1) is dilated to create triangle A'B'C' with vertices at A'(-3, -3),
B'(3, 3), C'(0, 3). Determine the scale factor used.
01
O
1/2
03
ㅇㅎ

Answers

The scale factor used in the dilation of the triangles is 3

Determining the scale factor used

From the question, we have the following parameters that can be used in our computation:

ABC with vertices at A'(-1, -1), B(1, 1), C(0, 1).A'B'C' with vertices at A(-3, -3), B(3, 3), C(0, 3)

The scale factor is calculated as

Scale factor  = A'/A

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (-3, -3)/(-1, -1)

Evaluate

Scale factor  = 3

Hence, the scale factor is 3

Read more about scale factor at

brainly.com/question/29229124

#SPJ1

A rectangle has a diagonal of 100 feet as shown in the picture below Which of the following lengths could be the base and height of the rectangle?
A. Base = 80 feet; Height = 60 feet
B. Base = 8 feet; Height = 6 feet
C. Base = 50 feet; Height = 50 feet
D. Base = 75 feet; Height = 25 feet

Answers

The base and height of the rectangle are 80 and 60 feet.

How to find the base and height of a rectangle?

A rectangle has a diagonal of 100 feet. The length that could be the base and height of the rectangle is as follows:

Therefore, let's use Pythagoras's theorem to find the base and the height of the triangle.

c² = a² + b²

where

c = hypotenuse sidea and b are the other legs

Therefore,

80² + 60² = 100²

6400 + 3600 = 10000

10000 = 10000

learn more on rectangle here: https://brainly.com/question/4707768

#SPJ1

find surface area of the cube

Answers

Answer:96

Step-by-step explanation:

(4x4)+(4x4)+(4x4)+(4x4)+(4x4)+(4x4)

16+16+16+16+16+16

48+48

96

Jason needs to send out flyers for his business. He needs to spend $250 on a printer and each flyer will cost $0.80 for ink, paper, and mailing costs.
a. Complete the table giving the total cost Jason will spend to send out the specific number of flyers.

Answers

C=cost n=flyers The equation is C=250+0.80n

Write equivalent fractions for 1/5 and 3/4 using 20 as the common denominator.

Answers

The equivalent fractions for 1/5 and 3/4 with a common denominator of 20 are:

1/5 = 4/20

3/4 = 15/20

To write equivalent fractions for 1/5 and 3/4 using 20 as the common denominator

we need to multiply the numerator and denominator of each fraction by the same number such that the denominator becomes 20.

For 1/5:

1/5 = (1 x 4)/(5 x 4) = 4/20

Therefore, an equivalent fraction for 1/5 with a denominator of 20 is 4/20.

For 3/4:

3/4 = (3 x 5)/(4 x 5) = 15/20

An equivalent fraction for 3/4 with a denominator of 20 is 15/20.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

Determine the critical value z alpha for alpha equals 0.04. Thatis, the z value at which the standard normal has a right tailedarea of 0.04.

Answers

To determine the critical value z alpha for alpha equals 0.04, we need to find the z value at which the standard normal distribution has a right-tailed area of 0.04.

First, we need to find the area in the left tail of the standard normal distribution that corresponds to 1 - alpha. Since alpha is 0.04, 1 - alpha is 0.96. Using a standard normal distribution table or calculator, we can find that the z value corresponding to a left-tailed area of 0.96 is approximately 1.75.

Next, we need to find the z value that corresponds to a right-tailed area of 0.04. This is simply the negative of the z value we found above since the standard normal distribution is symmetric at about 0. Therefore, the critical value z alpha for alpha equals 0.04 is approximately -1.75.

Note that the critical value is also sometimes referred to as the z-score, and is used in hypothesis testing to determine whether a sample mean is significantly different from a population mean. The critical value represents the boundary beyond which we reject the null hypothesis.
To determine the critical value zα for α=0.04, follow these steps:

Step 1: Identify the given values
- Right-tailed area (α) = 0.04

Step 2: Convert the right-tailed area to the left-tailed area
Since the standard normal distribution is symmetrical, you can find the left-tailed area by subtracting α from 1:
Left-tailed area = 1 - α = 1 - 0.04 = 0.96

Step 3: Find the z value corresponding to the left-tailed area
Using a z-table or an online calculator, look up the z-value corresponding to a left-tailed area of 0.96. This z value will be your critical value (zα).

The critical value zα corresponding to a right-tailed area of 0.04 (left-tailed area of 0.96) is approximately 1.75.

Learn more about the critical value here:- brainly.com/question/30168469.

#SPJ11

how many permutations of the 10 digits either begin with the three digits 987, contain the digits 45 in the fifth and sixth positions, or end with the three digits 123?

Answers

There are 50,257 permutations of the 10 digits that either begin with the three digits 987, contain the digits 45 in the fifth and sixth positions, or end with the three digits 123.

To find the number of permutations that meet the given criteria, we can break the problem into three cases:

Case 1: Permutations that begin with the three digits 987.
For these permutations, we have 7 digits remaining that can be arranged in any order. Therefore, there are 7! = 5040 permutations that begin with 987.

Case 2: Permutations that contain the digits 45 in the fifth and sixth positions.
For these permutations, we can first place the digits 45 in the fifth and sixth positions, leaving us with 8 digits remaining. These 8 digits can be arranged in any order, so there are 8! = 40,320 permutations that contain the digits 45 in the fifth and sixth positions.

Case 3: Permutations that end with the three digits 123.
For these permutations, we have 7 digits remaining that can be arranged in any order before the final three digits. Therefore, there are 7! = 5040 permutations that end with 123.

To find the total number of permutations that meet at least one of these criteria, we can use the principle of inclusion-exclusion.

First, we add the number of permutations from each case:

5040 + 40,320 + 5040 = 50,400

Next, we subtract the number of permutations that meet two of the criteria. There are two pairs of criteria that overlap:

- Permutations that begin with 987 and contain 45 in the fifth and sixth positions
- Permutations that contain 45 in the fifth and sixth positions and end with 123

To count the number of permutations that meet both of these criteria, we can first place the digits 987 at the beginning, followed by the digits 45 in the fifth and sixth positions, and then the remaining 5 digits can be arranged in any order before the final 123. Therefore, there are 5! = 120 permutations that meet both criteria.

We can do the same for the other pair of overlapping criteria:

- Permutations that begin with 987 and end with 123
- Permutations that contain 45 in the fifth and sixth positions and end with 123

To count the number of permutations that meet both of these criteria, we can first place the digits 987 at the beginning, followed by the remaining 4 digits which can be arranged in any order before the final 123. Therefore, there are 4! = 24 permutations that meet both criteria.

Now we can subtract the total number of permutations that meet two criteria:

120 + 24 = 144

Finally, we add back in the number of permutations that meet all three criteria:

There is only one permutation that meets all three criteria: 98745*****123

Therefore, the total number of permutations that meet at least one of the given criteria is:

50,400 - 144 + 1 = 50,257

Know more about permutations here:

https://brainly.com/question/30649574

#SPJ11

СО C1 C2 C3 HI H2 H3 Suppose the following conditional probability tables: Ct-1 Plq Ct-1) true .6 false .4 Ct true false P(ht|C) .8 .4 P(Co) .5 Given the observation sequence Hi = true, H, = false, and Hz = true, compute the following: (a) P(C3|h1:3) (b) P(C4|h1:3)

Answers

To compute the probabilities, we will use the Forward Algorithm, which is an iterative method for computing the probability of a sequence of observations.

Let's denote the forward probabilities as α_t(c_t) = P(c_t, h_1:t), where h_1:t is the sequence of observations from h_1 to h_t. We will compute the forward probabilities for each time step and then normalize them to obtain the desired probabilities.

1. Initialization: α_0(c_0) = P(c_0)
α_0(true) = 0.5
α_0(false) = 0.5

2. Iteration for t = 1 to 3:
a) t = 1 (h_1 = true)
α_1(true) = P(h_1=true|c_1=true) * [P(c_1=true|c_0=true) * α_0(true) + P(c_1=true|c_0=false) * α_0(false)]
= 0.8 * [0.6 * 0.5 + 0.4 * 0.5]
= 0.8 * 0.5
= 0.4
α_1(false) = P(h_1=true|c_1=false) * [P(c_1=false|c_0=true) * α_0(true) + P(c_1=false|c_0=false) * α_0(false)]
= 0.2 * [0.4 * 0.5 + 0.6 * 0.5]
= 0.2 * 0.5
= 0.1
Normalize α_1:
α_1(true) = 0.4 / (0.4 + 0.1) = 0.8
α_1(false) = 0.1 / (0.4 + 0.1) = 0.2

b) t = 2 (h_2 = false)
α_2(true) = P(h_2=false|c_2=true) * [P(c_2=true|c_1=true) * α_1(true) + P(c_2=true|c_1=false) * α_1(false)]
= 0.2 * [0.6 * 0.8 + 0.4 * 0

Compare the following functions:

Answers

The slope of the function have been solved below

How to solve for the slope

The the slope/rate of change of Function A is 0.

Function B:

x | y

0 | 0

1 | 1

2 | 4

3 | 3

4 | 9

Function B between f(0) and f(1)?

(y1 - y0) / (x1 - x0)

= (1 - 0) / (1 - 0)

= 1/1 = 1

Function B between f(1) and f(2)?

(y2 - y1) / (x2 - x1)

= (4 - 1) / (2 - 1)

= 3/1 = 3

(y3 - y2) / (x3 - x2)

= (3 - 4) / (3 - 2)

= -1/1 = -1

The slope of Function A is 0.

Function B does not have constant slope

Read more on slope of a function here:https://brainly.com/question/12339452

#SPJ1

A right rectangular prism is sliced in a way such that the plane passes through the prism at a slant. what is the resulting cross section?

Answers

The resulting cross section of the prism will be a parallelogram.

When a right rectangular prism is sliced in a way such that the plane passes through the prism at a slant, the resulting cross section is a parallelogram. This is because the intersection of a plane and a rectangular prism that is not parallel to any of its faces is always a parallelogram.

The shape and size of the parallelogram will depend on the orientation of the plane and the dimensions of the prism. Since the prism is a right rectangular prism, the opposite faces are parallel and congruent, and so are the opposite edges of the parallelogram cross section.

Learn more about rectangular prism at https://brainly.com/question/16431984

#SPJ11

PLEASE HELP!
How would the graph look?

Answers

The equations of the graph from the figure are y = 4 and y = -2

Explaining the equation of the graph from the look?

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we can see that

We have two horizontal lines that pass through the points y = 4 and y = -2

This means that the equations represented on the graph are y = 4 and y = -2

So, we can conclude that none of the options are true from the options

Read more about functions at

https://brainly.com/question/27915724

#SPJ1

would a chi-square test based on a 2 ✕ 2 table using a level of 0.05 be statistically significant?chi-square statistic = 11.2a) Yes, because 11.2 > 0.05.b) Yes, because 11.2 > 3.84. c) No, because 11.2 > 3.84.d) No, because 11.2 > 0.05.

Answers

A chi-square test involves a comparison between what is observed and what would be expected by chance

None of the options is correct.

A chi-square test based on a 2x2 table using a level of 0.05 would require comparing the computed chi-square statistic with the critical value of the chi-square distribution with 1 degree of freedom, which is 3.84 at a significance level of 0.05. If the computed chi-square statistic is greater than or equal to the critical value, then the test is statistically significant at the 0.05 level.

In this case, the chi-square statistic is given as 11.2, which is greater than 3.84, so the test is statistically significant at the 0.05 level.

Therefore, the correct answer is (b) Yes, because 11.2 > 3.84

learn more about chi-square test,

https://brainly.com/question/4543358

#SPJ11

On Monday, the high temperature in Sheboygan, Wisconsin, was –12°F. The high temperature on Tuesday was 7 degrees warmer than the high temperature on Monday. What was the high temperature on Tuesday?

Answers

The high temperature on Tuesday was -5°F.

Given that,

On Monday, the high temperature in Sheboygan, Wisconsin, was –12°F.

The high temperature on Tuesday was 7 degrees warmer than the high temperature on Monday.

Let T be the high temperature on Tuesday and M be the high temperature on Monday.

By the given statement,

T = M + (7°F)

We have, M = -12°F

Substituting,

T = -12°F + 7°F

  = -5°F

Hence the required temperature is -5°F.

Learn more about Temperature here :

https://brainly.com/question/5031870

#SPJ1

does this graph represent a function? why or why not? responses a yes, it is a function because it passes the horizontal line test.yes, it is a function because it passes the horizontal line test. b no, it is not a function because it contains a quadratic and linear relation.no, it is not a function because it contains a quadratic and linear relation. c yes, it is a function because it passes the vertical line test.yes, it is a function because it passes the vertical line test. d no, it is not a function because it has two open circles.no, it is not a function because it has two open circles. e no, it is not a function because it does not pass the horizontal line test.

Answers

The correct answer is e) no, it is not a function because it does not pass the horizontal line test.

A function must have only one output for every input, and the horizontal line test checks for this by seeing if any horizontal line intersects the graph more than once. This graph has multiple points where a horizontal line would intersect it more than once, indicating that it does not represent a function. The fact that it contains a quadratic and linear relation or has two open circles is not relevant to determining whether it is a function or not.
C) Yes, it is a function because it passes the vertical line test.

A graph represents a function if and only if it passes the vertical line test. This means that for any given x-value, there is only one corresponding y-value. The horizontal line test is used to determine if a function has an inverse that is also a function, which is not relevant to this question. The presence of a quadratic and linear relation or open circles does not necessarily mean that the graph does not represent a function.

Learn more about graph at: brainly.com/question/17267403

#SPJ11

in a right triangle with integer length sides, the hypotenuse has length $39$ units. how many units is the length of the shorter leg?

Answers

To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (called the "legs") is equal to the square of the longest side (called the "hypotenuse").

In other words, if we let $a$ and $b$ be the lengths of the two legs, and $c$ be the length of the hypotenuse, we have:

$a^2 + b^2 = c^2$

In this case, we know that the hypotenuse has length 39 units, so we can write:

$a^2 + b^2 = 39^2 = 1521$

We also know that $a$ and $b$ are both integers, since they are the lengths of sides of a triangle. We can use this information to try out different values of $a$ and see if any of them result in a value of $b$ that is also an integer.

One way to do this is to start with $a=1$ and see what value of $b$ makes the equation $a^2 + b^2 = 1521$ true. We can rewrite this equation as:

$b^2 = 1521 - a^2$

If we plug in $a=1$, we get:

$b^2 = 1521 - 1^2 = 1520$

Now we need to find a perfect square that is less than or equal to 1520, since that will give us a value of $b$ that is an integer. The largest perfect square that is less than or equal to 1520 is $36^2 = 1296$, so we can try plugging in $b=36$:

$36^2 = 1296$

$1^2 + 36^2 = 1297$

This is close, but not quite right – we need the sum of the squares to be 1521, not 1297. We can try again with a larger value of $a$, and keep going until we find a value that works. This process can be a bit tedious, but fortunately there is a shortcut – we can use the fact that $a$ and $b$ must be the lengths of sides of a triangle to narrow down our choices.

Specifically, we know that in a triangle, the length of any side must be less than the sum of the lengths of the other two sides. In this case, we have a right triangle with hypotenuse length 39, so the length of each leg must be less than 39. This means that $a$ and $b$ must both be less than 39.

We can use this fact to quickly eliminate many of the possibilities. For example, if $a=1$, we know that $b^2 = 1520$, which means that $b$ must be greater than 39 (since $6^2 = 36$ and $7^2 = 49$). This tells us that $a$ must be at least 7 in order for there to be any hope of finding a value of $b$ that works.

Using this approach, we can quickly narrow down the possibilities and find that the only value of $a$ that works is 15. If we plug in $a=15$, we get:

$b^2 = 1521 - 15^2 = 216$

$b = \sqrt{216} = 6\sqrt{6}$

So the length of the shorter leg is $\boxed{15}$ units.

Learn more about shorter here:

https://brainly.com/question/9926936

#SPJ11

Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 10 having a common attribute. The second sample consists of 1800 people with 1284 of them having the same common attribute. Compare the results from a hypothesis test of P = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, - P2, What are the null and alternative hypotheses for the hypothesis test?

Answers

The hypothesis test would give a binary answer of whether or not the proportions are significantly different, while the confidence interval estimate would provide a range of plausible values for P1.

The null hypothesis for the hypothesis test is that the proportion of people with the common attribute in the first population (P1) is equal to the proportion of people with the common attribute in the second population (P2). The alternative hypothesis is that P1 is not equal to P2.

When conducting the hypothesis test with a 0.01 significance level, we would calculate the test statistic and compare it to the critical value from a t-distribution with degrees of freedom equal to the sum of the sample sizes minus two. If the test statistic falls outside of the critical region, we would reject the null hypothesis and conclude that the proportions are significantly different.

On the other hand, the 99% confidence interval estimate of p would provide a range of values that P1 could fall within with 99% confidence. We would calculate the confidence interval by taking the difference in proportions (P2 - P1) and adding/subtracting the margin of error, which is based on the sample sizes and the level of confidence desired.

Overall, comparing the results from the hypothesis test and the confidence interval estimate would provide different information about the proportions in the two populations.

Know more about hypothesis test here:

https://brainly.com/question/30588452

#SPJ11

The odometer shows
that Darlene rode her bike 8 2/5 miles in 3/4 of an hour. What was her average speed ?

Answers

Answer: Average speed is given by the formula:

speed = distance ÷ time

Given that Darlene rode her bike 8 2/5 miles in 3/4 of an hour. We need to convert the mixed number 8 2/5 to an improper fraction.

8 2/5 = (8 x 5 + 2) / 5 = 42/5

So, Darlene rode her bike a distance of 42/5 miles in a time of 3/4 hours.

Substitute speed = distance ÷ time

speed = (42/5) ÷ (3/4)

To divide by a fraction, we invert and multiply:

speed = (42/5) x (4/3)

speed = 56/5

So, Darlene's average speed was 56/5 miles per hour (mph).

To simplify this fraction, we can divide both the numerator and denominator by 1:

speed = 11/1

Other Questions
Thermo is a plastic supply and custom fabrication company. Thermo serves clients in the medical, solar, and semiconductor industries by making acrylic and polycarbonate sheets, tubes, and rods. The company employs approximately 500 workers at its facility in Ohio. Safety is a top priority at Thermo, and supervisors are required to conduct daily inspections of all equipment. Recently, three workers were seriously injured by a large press used to mold plastic parts. The workers spent time in the hospital for hand injuries, and they are currently recuperating at home. As a result, top management is evaluating all aspects of safety at the facility to determine what changes need to be made. Which of the following, if true, supports the argument that Thermo needs to modify its screening, placement, and training procedures?A) Interviews with the on-duty supervisor indicate that signs were clearly posted near the accident site explaining the importance of using protective guards.B) Supervisors use a combination of recognition and monetary incentives to encourage employees to follow safety procedures.C) Interviews with the injured workers indicate that the most experienced worker removed the safety guard and the other two workers did not know how to respond.D) Noise emitted from the press and the heat in the Thermo facility is considered distracting and potentially dangerous. What is the best parental intervention when a child refuses to eat a vegetable at mealtime? the technology that includes a server component that sends out commands and a client component on a phone/laptop/tablet that receives and applies the commands is called . QUESTION 2:a) Define economics and identify factors of production. (10Marks)b) Explain how economists answer the three key economics questions.(10 Marks this clip suggests that, in contrast to 7-year olds, 5-year-olds may believe that the volume of a liquid changes as its changes. . ________ involves reconciling underlying differences so that issues are resolved to the mutual benefit of all parties. A) Domination B) Accommodation C) Compromise D) Collaboration E) All of these what are the coordinates of the image point A after a dilation with center (0, 0) and scale factor of 1/4? with respect to leadership, what statement best reflects the impact of a leader who is located apart from his or her subordinates? the distance becomes a substitute for leadership the most influential approach to leadership would be subordinate centered the most influential approach to leadership would be task centered the distance becomes a neutralizer of leader behavior none of the above. The wright brothers named their first powered aircraft the wright flyer. In its first flight, the wright flyer flew 37 meters. In its last flight, the wright flyer flew 223 meters farther than in its first one. How many meters short of a kilometer was the wright flyers last flight? it would not be considered commingling of funds if: select one: a. the broker holds an earnest money check, as requested by the offeror, until acceptance by the offeree b. the broker holds an earnest money check, as requested by the offeror, after acceptance by the offeree c. the broker holds earnest money in his personal account until the offer is accepted or rejected d. the broker holds earnest money in his brokerage operating account because the deal is going to be all cash jump to... jump to... a sample of an ideal gas at 1.00 atm and a volume of 1.17 l was placed in a weighted balloon and dropped into the ocean. as the sample descended, the water pressure compressed the balloon and reduced its volume. when the pressure had increased to 20.0 atm, what was the volume of the sample? assume that the temperature was held constant. a sleeping 68 kg man has a metabolic power of 73 w. how many calories does he burn during an 8.0 hour sleep? 1. which of the following tools can be used to improve windows performance? (choose all that apply.) a. system protection b. indexing options c. system restore d. power options e. file history How working in restaurant goal help you in the future once you achieve this goal? 2-3 sentence. Which of the following did Egyptians and Mayans have in common? (4 points) aBoth societies used hieroglyphic systems of writing. bBoth societies practiced mummification of the dead. cNeither society practiced human sacrifice. dNeither society had a complex caste system. What were the chief features of the spanish empire in america? martin luther, a german priest, gained much attention when he posted his ninety-five theses. what arguments did luther express in the document? a) A mechanical engineer conducted experiments to investigate the effect of four different types of boxes on compression strength (lb). The sample means from five experiments for each type of box were 650, 750, 700, 650 (unit: lb). Compute the SSTr.b) In a single-factor ANOVA problem involving 5 populations, the total number of observations is 20, SSTr = 12 and SST = 20. What is the MSTr, MSE, and test statistic f. A group with which an individual shares identity and towards which she feels loyalty is known as an ___ Given the table of values below from a quadratic function, write an equation of that function.X | 0 | 1 | 2 | 3 | 4 |Y | 4 | 10 | 12 | 10 | 4 | You see a 54 yo with moderate COPD who has increased cough, yellow sputum, and increasing dyspnea and wheezing. in addition to steroids, which one of the following would be most appropriate for you to prescribe at this time?CHOOSE ONEAdmission for CPAPNebulized MagnesiumRx Augmentin for 5-7 daysIM Mucinex