Answer:
[tex] \frac{1}{5} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} = y \: \\ x \ = 2 \\ \frac{ \frac{2}{5} }{2} = \frac{2}{2} \: \\ \frac{1}{5} = y \: when \: \: 1= x[/tex]
You have a square pyramid sitting on top of a cube. The slant height of the pyramid is 5 and the sides of the cube are 3. What is the volume of both of the shapes?
The total volume of figure which has cube and pyramid is 33 cubic units.
The volume of a square pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.
Let's call the side length of the square base of the pyramid s.
(1/2)s² + h² = 5²
s² + 4h² = 25
Since the sides of the cube are 3, the side length of the square base of the pyramid is also 3.
9 + 4h² = 25
h = 2
So the height of the pyramid is 2.
Volume of pyramid = (1/3)(3^2)(2) = 6
The volume of a cube is given by the formula V = s³, where s is the length of a side.
Since the sides of the cube are 3, the volume of the cube is:
Volume of the cube = 3³ = 27
Therefore, the total volume of the pyramid and the cube is:
Total = 6 + 27
= 33
Hence, the total volume of figure which has cube and pyramid is 33 cubic units.
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Beth prepared 24 kilograms of dough after working 3 hours. How much dough did Beth prepare if she worked for 6 hours? Solve using unit rates.
Beth would have made 48 kg of dough if she worked for 6 hours.
First, let's find the amount of dough Beth prepares in one hour:
Dough prepared in 3 hours = 24 kg
Dough prepared in 1 hour = 24 kg ÷ 3 = 8 kg/hour
So, Beth can prepare 8 kilograms of dough in one hour.
Now, we can use this unit rate to find the amount of dough Beth prepares in 6 hours:
Dough prepared in 1 hour = 8 kg
Dough prepared in 6 hours = 8 kg/hour × 6 hours = 48 kg
Therefore, if Beth worked for 6 hours, she would have prepared 48 kilograms of dough.
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The graphs of f(x) = −10x − 1 and g(x) =2^x
are shown. Create a new function h(x) by reflecting f(x) over the x-axis. How many times do the graphs of h(x) and g(x) intersect?
Answer:
2
Step-by-step explanation:
i just took the test and that was the correct answer
Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K.
How can a translation and a rotation be used to map ΔHJK to ΔLMN?
Translate H to L and rotate about H until HK lies on the line containing LM.
Translate K to M and rotate about K until HK lies on the line containing LM.
Translate K to N and rotate about K until HK lies on the line containing LN.
Translate H to N and rotate about H until HK lies on the line containing LN.
For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.
When a form travels around a fixed point or over the mirror line without altering, it is said to be translating.
When a form rotates around a fixed point, it is said to be rotating.
In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.
Hence, Translate K to N and rotate about K until HK lies on the line containing LN is correct.
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you pick 4 cards from a deck replacing the card each time before picking the next card. what is the probability that all 4 cards are jacks?
Total number of cards is always 52 which has 4 jacks. In the given question we need to use the concept of probability.
The following steps are need to be followed:
1. First, let's identify some key information:
- A standard deck has 52 cards, with 4 jacks (one of each suit).
- You're drawing a card and then replacing it, which means each draw is independent and the probability remains constant.
2. Now, let's calculate the probability of drawing a jack on each draw:
- P(Jack) = 4 jacks / 52 total cards = 1/13
3. Since you want to find the probability of drawing a jack 4 times in a row, we'll multiply the probability of drawing a jack on each draw:
- P(All Jacks) = P(Jack) × P(Jack) × P(Jack) × P(Jack) = (1/13) × (1/13) × (1/13) × (1/13)
4. Simplify the probability:
- P(All Jacks) = 1/28561
So the probability of drawing all 4 jacks when you pick 4 cards from a deck, replacing the card each time before picking the next card, is 1/28,561.
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(Wx24) - (2,400 divided by 80) =1,602
What does w equal?
The value of w in the equation (Wx24) - (2,400 divided by 80) =1,602 is 68
Evaluating the value of w in the equationFrom the question, we have the following parameters that can be used in our computation:
(Wx24) - (2,400 divided by 80) =1,602
Evaluate the brackets
So, we have
(Wx24) - 30 =1,602
Next, we evaluate the like terms
(Wx24) =1,632
Divide by 24
W = 68
Hence, the value of W is 68
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There are 42 photos in Harrison's photo album of his classmates, including 7 photos of his best friends. Which equation can be used to find p, how many photos he included of the rest of his classmates?
Answer:
p = 35
Step-by-step explanation:
To find the number of photos Harrison included of the rest of his classmates, we need to subtract the number of photos of his best friends from the total number of photos.
Therefore, the equation that can be used to find p, the number of photos he included of the rest of his classmates, is:
p = total number of photos - number of photos of best friends
In this case, the total number of photos is 42 and the number of photos of best friends is 7. So, the equation becomes:
p = 42 - 7
Simplifying, we get:
p = 35
Therefore, Harrison included 35 photos of the rest of his classmates in his photo album.
Can someone tell me if the answers I did are right or wrong and help me with the graphing, please? Its a lot of work so I'm giving 100 points.
Okay to make this easy for the both of us i will attach the graphing part below and color code the question to it graph.
Step-by-step explanation:
Problem 15 is ( 0,0.5) =Graph color Red
Problem 16 is( 0,0.25) = Graph color Blue
Problem 17 is (0,3) = Graph color Green
Problem 18 is (0,4) = Graph color Purple
I just listed the points in which they past through so it would be easier to plot.
I hope I helped you a lot.
Well let me know when you get this and how you did so I will know if i did it correct.
california college students who drink according to the centers for disease control and prevention, 60% of all american adults ages 18 to 24 currently drink alcohol. is the proportion of california college students who currently drink alcohol different from the proportion nationwide? a survey of 450 california college students indicates that 66% currently drink alcohol. the null hypothesis is [ select ] . the alternative hypothesis is [ select ] . p in the hypotheses represents [ select ] the standard error is the z-score is [ select ] the p-value is [ select ] . the conclusion is [ select ] flag question: question 2 question 24 pts for the previous example, which statements are accurate conclusions? group of answer choices the proportion of drinkers in the population of ca college students is not 0.60. there is a statistically significant difference between the proportion of drinkers in the american adult population (0.60) and the proportion of drinkers in the population of ca college students. a larger proportion of ca college students drink alcohol compared to the adults nationwide. when we compare the american adult population to the population of ca college students, there is a 0.06 difference in the proportion of drinkers.
California college students who drink according to the centers for disease control and prevention, 60% of all american adults ages 18 to 24 currently drink alcohol. The proportion of drinkers in the population of CA college students is not 0.60.
We can infer the following from the provided information:
The proportion of college students in California who presently drink alcohol is the same as the proportion nationwide (p = 0.60), rejecting the null hypothesis (H0).
Alternative hypothesis (Ha): California college students are more likely to use alcohol than college students nationwide (p 0.60).
The population proportion is represented by the letter "p" in the hypotheses.
We need the sample size and the sample proportion to calculate the standard error and the z-score. According to the poll of 450 college students in California, 66% of them currently consume alcohol, yielding a sample proportion of 0.66.
SE = √(0.66*(1-0.66)/450) ≈ 0.023
z = (0.66 - 0.60) / 0.023 ≈ 2.61
By comparing the p-value to a preset significance level (such as 0.05), the conclusion is arrived at. We reject the null hypothesis if the p-value is less than the significance level. If not, we are unable to rule out the null hypothesis.
The appropriate inferences from the information are:
The percentage of drinkers among college students in California is not 0.60.
The percentage of drinkers in the adult American population (0.60) and the percentage of drinkers among college students in California differ statistically significantly.
Thus, this can be concluded regarding the given scenario.
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The triangle shown below is a right triangle with the right angle marked.
Which equation correctly expresses the Pythagorean Theorem for this triangle?
A)p²+q²=r²
B)r²+q²=p²
C)(p+q)²=r²
D)p²+r²=q²
Answer:
The Correct answer is A
Step-by-step explanation:
b) because r²=q²+p²,p²=r²-q² not
r²+q²
c) (p+q)²=r²
is not correct because
(p+q)²=(p+q)(p+q)
d) p²+r²=q² wrong
because
q²=r²-p²
Help please!!! Anything helps
Answer:
Step-by-step explanation:
Assume that adults have 10 scores that are normally distributed with a mean of 102.7 and a standard deviation of 23.5. Find the probability that a randomly selected adult has an IQ greater than 144.4
There is approximately a 3.84% chance that a randomly selected adult has an IQ greater than 144.4.
To find the probability that a randomly selected adult has an IQ greater than 144.4, assuming their scores are normally distributed with a mean of 102.7 and a standard deviation of 23.5, we will use the z-score formula.
First, calculate the z-score:
z = (X - μ) / σ
where X is the IQ score (144.4), μ is the mean (102.7), and σ is the standard deviation (23.5).
z = (144.4 - 102.7) / 23.5
z ≈ 1.77
Now, use a z-table to find the probability corresponding to this z-score. The z-table value for a z-score of 1.77 is approximately 0.9616. Since we want the probability of an IQ greater than 144.4, we will find the area to the right of this z-score.
Probability = 1 - 0.9616 = 0.0384
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A 28-year-old earns an average income and plans to retire in 37 years. The employee plans to begin making $5,500 annual contributions into an
IRA.
Which type of IRA is best for the employee, and why?
O The Traditional IRA is the best choice because the employee will pay less in taxes during employment than in retirement.
The Traditional IRA is the best choice because the employee will pay more in taxes during employment than in retirement.
O The Roth IRA is the best choice because the employee will pay more in taxes during employment than in retirement.
O The Roth IRA is the best choice because the employee will pay less in taxes during employment than in retirement.
The Roth IRA is the best choice for the employee in this scenario because the employee will likely pay less in taxes during employment than in retirement
Given data ,
Contributions to a Roth IRA are made after-tax, which means that the employee contributes funds that have already paid taxes. Contributions grow tax-free, and qualifying retirement withdrawals—which include both contributions and earnings—are likewise tax-free.
In this instance, the employee intends to contribute $5,500 per year to an IRA for the next 37 years until retirement. The employee has already paid taxes on the contributions made while employed since they are made on an after-tax basis. As a result, both the contributions and the earnings that are withdrawn upon retirement will be tax-free.
Hence , the best IRA is Roth IRA
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I need help! Fine output when the input is N. Picture listed!
Answer:
Output is n - 4
Step-by-step explanation:
It follows a pattern. Output = Input - 4
Some storage boxes are stacked on a platform. The height of the stack, measured from the ground, is given by the expression 12.3b + 4.7 in inches,
where b is the number of
boxes?
a. Find the height of a stack of 5 boxes.
b. A stack made of all the boxes in the set is 103.1 inches tall, including the platform
How many boxes are in the set?
C.Kiran Looks at the expression and says, “4.7 much be the height of a single box” Do you agree with Kiran? Explaining your reasoning.
The shortest height at which the two stacks will be the same is 80 inches. There will be 5 boxes of 16 inches each and 4 boxes of 20 inches required.
Here, we have,
We have boxes that are 16 inches tall, are being stacked next to boxes that are 20 in inches tall.
We have to determine -
What is the shortest height at which the two stacks will be the same.
How many boxes will be in each stack.
You have 10 boxes of 2 inch each and a space of 16 inches to store them. Investigate whether or not the boxes will fit in this much space.
The total space needed for 10 such boxes will be = 2 x 10 = 20 inches. Hence, 16 inches of space is not enough to store them.
According to the question, we have -
Height of Box 1 = 16 inches.
Height of Box 2 = 20 inches.
Assume that it would take x Boxes of 16 inches and y boxes of 20 inches to reach the same height 'h'. Since, the height of both stacks is same, therefore -
16x = 20y
16x - 20y = 0
4x - 5y = 0
Plot this line on the graph [Refer to image attached].
Now, the boxes can only be used as a complete one box. This means that you cannot use half, quarter box to reach the same stack height. The nearest solution to this is the coordinate point P(5, 4).
Now -
h = 16x = 16 x 5 = 80 inches.
Hence, the shortest height at which the two stacks will be the same is 80 inches. There will be 5 boxes of 16 inches each and 4 boxes of 20 inches required.
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1) Construct an equilateral triangle showing the correct steps, marks, and use the compass.
2) Construct an equilateral triangle inscribed in a circle and show your marks and steps
using the compass.
3)Construct a square inscribed in a circle and show your marks and steps using the
compass.
This prompt is about constructing geometric shapes using a Mathematical Set such as rulers and compass.
How do you construct the shapes required above?1) First, note that an equilateral triangle is one whose sides are all equal. So, start by drawing a line segment with a ruler. Call it Side AB.
Then you take your compass, place the ponted end on point A, then extend it until it is at point B exactly. Make sure this does not change.
Now swing the compass such that it creates an arc some where above the line AB towads the middle of the line where you visualize the third Pont to be.
Without changing the extension of the compass, place the ponted end on point B and repeat. Now you have two arcs intersecting above the line AB.
Now tak eyour ruler and connect the point of intersection above with Points A and B below. Now you have an Equilateral Triangle
2) Equilateral Triangle inscribed in a Circle
Using your compass, draw a circle. Note you must keep the angle measurement the compass constant.Locate a point along the circumference of a circle.Next, place the pointed tip of the compass on the point on the circumference and make an arc on the circle. Do this until you have 6 arcs on the circle. By the time you get to the last arc, it should coincide with the first pont you marked.The points where the arcs cut the circle is called the points of intersection.Now you have six points but to make the equilateral triangle you need only threestarting from any of the points, mark one point and skip the next.then connect the three ponts usign a ruler. How you have an equilateral Triangle inscribed in a Circle
3) Square in a circle
Start with a circle with a center M.
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At a particular restaurant, 52% of all customers order an appetizer and 32% of all customers order dessert. If 27% of all customers order both an appetizer and dessert, what is the probability a randomly selected customer orders an appetizer or dessert or both?
Write your answer as a decimal (not as a percentage).
The probability of randomly selected customers ordering both an appetizer and dessert is 57%.
We have,
The probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given data as:
P(E₁) = 52%
P(E₂) = 32%
P(E₁ or E₂) = 27%.
Using the formula:
⇒ P(E₁ or E₂) = P(E₁) + P(E₂) - P(E₁ & E₂)
Substitute the values and solve for P(E₁ & E₂)
⇒ P(E₁ & E₂) = 52% + 32% - 27%
⇒ P(E₁ & E₂) = 57%
Therefore, the probability of randomly selected customers ordering both an appetizer and dessert is 57%.
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The slope of the line below is 0.8. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on
the y side.
-5
5
(-2,-3)
-5
5
X
An equation of the line in point-slope form, using the coordinates of the labeled point is y + 3 = 0.8(x + 2).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.At data point (-2, -3) and a slope of 0.8, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-3) = 0.8(x - (-2))
y + 3 = 0.8(x + 2)
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wondering if you can advice what shall one do if he realises his mistake after its done? need honest answer , and i need you ta,*lk to me with my mistake to be specific sn ap : m_oonlight781
If you realize that you've made a mistake after the fact, the first thing to do is to acknowledge it.
What should one do?This means accepting responsibility for your actions and recognizing that you could have done better. Once you've done this, you can take steps to correct the mistake and prevent it from happening again in the future.
If your mistake has affected other people, it's important to apologize. Be sincere and acknowledge the impact your actions have had on others. This can help to repair any damage done to relationships and show that you're taking responsibility for your actions.
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What are the subtypes of quantitative data (techniques)?
There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.
1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
a. Frequency distribution: A summary of the number of times each value appears in the dataset.
b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.
c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.
2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:
a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.
b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.
c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.
Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.
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The sum of all the positive integers from 5–√ to 62−−√ is
The sum of all the positive integers from √5 to √62 in an arithmetic series is 35.
To find the sum of all the positive integers from √5 to √62, we first need to determine the two integers closest to each square root and then find the sum of the arithmetic series between them.
The integer closest to √5 is 2, since 2² = 4 < 5 and 3² = 9 > 5. Similarly, the integer closest to √62 is 8, since 8² = 64 > 62 and 7² = 49 < 62.
So, we need to find the sum of the integers from 2 to 8. To do this, we can use the formula for the sum of an arithmetic series:
sum = (n/2)(first term + last term)
Here, n is the number of terms in the series, which is 8 - 2 + 1 = 7. The first term is 2, and the last term is 8.
So, the sum of all the positive integers from √5 to √62 is:
sum = (7/2)(2 + 8) = 35
Therefore, the sum of all the positive integers from √5 to √62 is 35.
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The question is -
The sum of all the positive integers from √5 to √62 is?
What fraction in this list is more than 3/5? 20/100, 6/10, 1/2, 2/12 or 2/3?
Answer: 2/3
Step-by-step explanation:
We will turn all of these fractions into decimals by dividing to compare them easier.
3/5 ➜ 0.6
20/100 ➜ 0.2
6/10 ➜ 0.6
1/2 ➜ 0.5
2/12 ➜ 0.16666
2/3 ➜ 0.6666
0.6666 > 0.6, so 2/3 > 3/5
This means our answer is 2/3
T/F : If the equation Ax=0 has a nontrivial solution, then A has fewer than n pivot points
True.
If the equation Ax=0 has a nontrivial solution, then the columns of A are linearly dependent.
If the equation Ax=0 has a nontrivial solution, then the columns of A are linearly dependent. This means that there exist constants c1, c2, ..., cn, not all zero, such that the vector
v = c1*a1 + c2*a2 + ... + cn*an
is the zero vector, where a1, a2, ..., an are the columns of A.
This implies that A has a non-pivot column, since we can write the vector v as a linear combination of the other columns. Therefore, A has fewer than n pivot columns, or equivalently, fewer than n pivot points.
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A cone is sliced by a vertical plane and passes through the vertex, what is the resulting cross section?
If a cone is sliced by a vertical plane that passes through the vertex, the resulting cross section will be a triangle.
The vertical plane cuts through the cone at its highest point, which is also the point where the two sides of the cone meet (i.e. the vertex). As the plane cuts through the cone, it intersects with the sloping sides of the cone at different angles, creating a triangular shape.
The resulting cross section will have the same base as the original cone, which is a circle. However, the height of the cross section will be shorter than the height of the original cone, since the vertical plane has removed a portion of the cone.
Overall, the resulting cross section will be a triangle with a circular base, which is often referred to as a frustum. This shape is commonly used in architecture and engineering, as it allows for tapered structures such as pillars and columns to be created.
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In the general population, 52% of the people attend at least one live concert a year. A sample of 10 people is selected and the sample proportion ( p hat ) is calculated. Describe the shape of the sample distribution of sample proportions.
Using central limit theorem, the shape of the sample proportions is normal
What is the shape of the sample distribution of sample proportionsThe shape of the sample distribution can be found using central limit theorem (CLT) which states that that "if you take sufficiently large samples from a population, the samples’ means will be normally distributed, even if the population isn’t normally distributed."
In this problem, our sample size is 10 and the population proportion is 52% which is roughly 0.5 and still reasonable, we can use CLT to approximate the shape of the sample proportion.
mean = 0.52
standard error = √(p(1 - p(hat) / n) = √(0.53 * 0.48) / 10 = 0.15
The shape of the sample with normal distribution having a mean of 0.52 and SE of 0.15 is normal
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Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
The statement "Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)" is true we get by finding probabilities of each played and comparing them.
We need to convert the probabilities to decimals or fractions to compare them.
Player 1: 7/11 = 0.64
Player 2: 6/9 = 0.67
Player 3: 5/7 = 0.71
Comparing the probabilities, we see that Player 3 has the highest probability of hitting the ball, followed by Player 2, and then Player 1.
Therefore, the statement "Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)" is true.
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The following dot plot shows the daily high temperature in Kats, Colorado
in April. Each dot represents a different day.
:.:
HH
●●●
H
4 6 8 10 12 14 16 18 20
Temperature (°C)
How many days had a high temperature of at least 16°C?
days
The number of days that had a high temperature of at least 16°C would be = 25days.
How to calculate the number of days that had at least 16°C?From the dot plot given above, the different temperature ranges according to the different days.
Temperature 6° = 1 day
Temperature 7°= 2 days
Temperature. 8° = 2 days
Temperature 9° = 3 says
Temperature 10° = 5 days
Temperature. 11° = 3 days
Temperature. 12° = 4 days
Temperature. 13° = 1 days
Temperature. 14° = 2 days
Temperature. 16° = 2 days
Therefore, the total number of days = 1+2+2+3+5+3+4+1+2+2 = 25 days
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9. the use of a tremendously large sample does not solve the question of quality for an estimator. what problems do you anticipate with very large samples? (select all that apply.)
A tremendously large sample might seem advantageous when trying to estimate a population parameter, but it doesn't necessarily guarantee the quality of an estimator. Some potential problems with very large samples include:
1. Increased cost and time: Collecting a large sample can be more expensive and time-consuming than gathering a smaller one, especially if data collection requires extensive resources.
2. Diminishing returns: As sample size increases, the added benefit of each additional data point may decrease. At some point, further increases in sample size might not yield meaningful improvements in the precision of an estimator.
3. Non-representative samples: A large sample may not always be representative of the population, especially if it's subject to selection bias, non-response bias, or other sources of error. If the sample is not representative, the estimator's accuracy may be compromised.
4. Outliers and influential observations: In a very large sample, there is a higher chance of encountering outliers or influential observations that can distort the estimator's results. These atypical data points can potentially lead to misleading conclusions.
5. Analytical challenges: Large samples may present computational and analytical challenges, especially when dealing with complex models or large datasets. This can make it difficult to obtain reliable results in a timely manner.
In summary, while large samples can offer benefits in terms of increased precision and reduced sampling error, they also come with potential challenges. Ensuring sample representativeness, managing outliers, and addressing other quality-related issues are essential when working with large samples to obtain accurate estimators.
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Find Z. Can someone help me find the answer to the third question aka question c?
The resulting value for the variable z from the figure is 25.
The secant secant theorem of a circleAccording to the secant segment theorem, if two secant segments cross outside of a circle, the product of one secant segment and its exterior portion is equal to the product of the other secant segment and its external portion.
Mathematically for the given figure:
3 * z = 5(10+5)
3z = 5(15)
3z = 75
Divide both side of the expression by 3
3z/3 = 75/3
z = 25
Hence the value of z from the given diagram is 25.
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Use the theoretical method to determine the probability of the following outcome and event. State any assumptions made. Tossing two coins and getting either one head or two heads Choose the correct answer below. A. Assuming that each coin is fair and is equally likely to land heads or tails, the probability is 2 x 2. B. Assuming that each coin is fair and is equally likely to land heads or tails, the probability is 4/3
C. Assuming that each coin is fair and is equally likely to land heads or tails, the probability is 1/2
D. Assuming that each coin is fair and is equally likely to land heads or tails, the probability is 3/4
C. Assuming that each coin is fair and is equally likely to land heads or tails, the probability is 1/2.
When tossing two coins, there are four possible outcomes: HH (two heads), HT (one head and one tail), TH (one tail and one head), and TT (two tails).
Since we are interested in the probability of getting either one head or two heads, we need to add the probabilities of the first three outcomes: HH, HT, and TH.
Assuming that each coin is fair and is equally likely to land heads or tails, the probability of getting a head on one coin is 1/2 and the probability of getting a tail is also 1/2. Therefore, the probability of getting either one head or two heads is:
P(one head or two heads) = P(HH) + P(HT) + P(TH)
P(one head or two heads) = (1/2)*(1/2) + (1/2)*(1/2) + (1/2)*(1/2)
P(one head or two heads) = 1/2
Therefore, the answer is C. The probability of getting either one head or two heads when tossing two coins and assuming that each coin is fair and is equally likely to land heads or tails is 1/2.
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