Which statement is true? Please help

1  1/4

Step-by-step explanation:

Answer:

  A (top)

Step-by-step explanation:

You want to know which box plot represents the data in the given list.

The difference between the box plots is the location of the median.

When the data is sorted into order, it is ...

  {2500, 2712, 3500, 3876, 4247, 4753, 4983, 5000, 6214, 7500}

There are an even number of elements in this list, so the median is the average of the middle two:

  median = (4247 +4753)/2 = 9000/2 = 4500

The median is represented by the line inside the box of the box plot. The plot with its median at 4500 is the top one (shown in the attachment).

The top box plot represents the data.

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Magada's loan factor is approximately 0.006367. This means that for every $1 borrowed, Magada will have to pay approximately $0.006367 per month for the next 25 years to repay the loan with an interest rate of 10.75%.

To calculate the loan factor, we first need to calculate the monthly interest rate and the total number of monthly payments.

Monthly interest rate = Annual interest rate / 12

= 10.75% / 12

= 0.8958%

Monthly payments = Number of years * 12

= 25 * 12

= 300

Now, we can use loan factor formula, which is:

Loan factor = [monthly interest rate * (1 + monthly interest rate)^n] / [(1 + monthly interest rate)^n - 1]

Substituting the values, we get:

Loan factor = [0.008958 * (1 + 0.008958)^300] / [(1 + 0.008958)^300 - 1]

= 0.006367

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Answer:

Step-by-step explanation:

You want to identify the lines among those listed that will intersect the line y = 4.

The line y = 4 is a horizontal line. Any line of the form y = c, for some constant c (not 4), will be parallel and will not intersect y = 4.

All of the other lines listed will intersect y = 4.

The intersecting lines are ...

<95141404393>

The three trigonometric ratios are - sin A = 12/37, sin A = 12/37 and tan A = 12/35.

There really are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of such a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

sin A = CB/AC

sin A = 12/37

cos A = AB/AC

cos A = 35/37

tangent (angle)  = opposite leg / adjacent leg.

tan A = CB/AB

tan A = 12/35

Thus, the three trigonometric ratios are - sin A = 12/37, sin A = 12/37 and tan A = 12/35.

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Step-by-step explanation:

the equation for the following graph os (-3,-5) & (1,1)

Median, because Sunny Town is skewed.

Descriptive statistics is a branch of statistics that deals with the collection, organization, analysis, and interpretation of numerical data. It involves using various statistical measures to describe and summarize the characteristics of a set of data. Descriptive statistics helps to make sense of large amounts of data by presenting it in a more meaningful and understandable way. Commonly used measures of central tendency in descriptive statistics include mean, median, and mode, while measures of dispersion include range, variance, and standard deviation. Descriptive statistics is widely used in various fields, such as business, medicine, economics, psychology, and social sciences, to name a few.

Median, because Sunny Town is skewed.

The skewness of the histogram for Sunny Town indicates that the data is not symmetrically distributed, and therefore the median would be a better measure of central tendency to compare the locations. The mean can be affected by extreme values or outliers, which might be present in the skewed distribution of Sunny Town, making it less reliable in this case.

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the probability that is equal to P(Q) is P(Q).

Option A is correct.

What is probability?

The likelihood of an event is quantified by its probability, which is a number. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Types

There are three major types of probabilities and they include:

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Answer:

Step-by-step explanation:

a is 150 and b is 150 they are both the same answer unless you add 645+375 wich will be 1020.

A random sample of approximately 1067 registered voters is needed to estimate the proportion of voters planning to vote for Chavez with 95% confidence and a margin of error no greater than 0.03.

To estimate the proportion p of all registered voters in the city who plan to vote for Chavez with 95% confidence and a

margin of error no greater than 0.03, we need to determine the sample size. We can use the following formula for

sample size calculation:

[tex]n = (Z^2 × p × (1-p)) / E^2[/tex]
Where:
- n is the sample size
- Z is the Z-score (1.96 for 95% confidence)
- p is the estimated proportion of voters planning to vote for Chavez
- E is the margin of error (0.03 in this case)

Since we don't know the true proportion of voters planning to vote for Chavez, we can use the most conservative

estimate (p = 0.5) to ensure the required margin of error:

[tex]n = (1.96^2 × 0.5 × (1-0.5)) / 0.03^2[/tex]
n = (3.8416 × 0.25) / 0.0009
n = 0.9604 / 0.0009
n ≈ 1067

Therefore, a random sample of approximately 1067 registered voters is needed to estimate the proportion of voters

planning to vote for Chavez with 95% confidence and a margin of error no greater than 0.03.

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Answer:

c.

Step-by-step explanation:

The original triangle has two sides with length 4x each, and the hypotenuse has length 3y.

After the enlargement, each of the sides with length 4x becomes 3y × 4x = 12xy, and the hypotenuse becomes 3y × 3y = 9y^2.

Therefore, the perimeter of the enlarged triangle is the sum of the lengths of its three sides:

12xy + 12xy + 9y^2 = 24xy + 9y^2 = 9y^2 + 24xy

So the answer is (C) 9y^2 + 24xy.

According to the given inequality,

W – 4 > –10 uses Addition Property

12 ≥ 20x not uses Addition Property

7y10 ≤ 5. 5 –3. 25 < x – 9. 75 uses Addition Property

Let's analyze each given inequality to see whether we can use the Addition Property of Inequality to solve them.

W – 4 > –10: We can use the Addition Property of Inequality to solve this inequality. To do this, we need to add 4 to both sides of the inequality, which gives us: W – 4 + 4 > –10 + 4, or W > –6.

12 ≥ 20x: We cannot use the Addition Property of Inequality to solve this inequality since we need to isolate "x" on one side of the inequality. To do this, we would need to subtract 12 from both sides of the inequality, which is not allowed under the Addition Property of Inequality.

7y + 10 ≤ 5.5 – 3.25x: We cannot use the Addition Property of Inequality to solve this inequality either since we need to isolate "y" on one side of the inequality.

To do this, we would need to subtract 10 from both sides of the inequality, which is not allowed under the Addition Property of Inequality.

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Nothing can be said about the curve, for the parametric equations where the range of is [-1, 9] and the range of is [-1, 9]. Option B is the correct answer.

The parametric equations define the curve in terms of the parameter t. The given ranges for t and u indicate the domain of the curve. Without additional information, it is difficult to say much about the curve.

Option A is incorrect because there is no reason to assume that the curve lies inside a circle with a center (-1, -1) and radius of 0.5.

Option C is incorrect because the range of u is greater than 3.

Option D is incorrect because the given range of t is not sufficient to define a line segment between (-1, 1) and (7, 3). Option E is incorrect because there is no reason to assume that the curve lies outside the rectangle [-1, 7] by [1, 3].

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The question is -

Suppose a curve is given by the parametric equations where the range of is [-1, 9] and the range of is [-1, 9]. what can you say about the curve? you must select all correct choices to get full credit on this problem.

A. The curve must lie inside a circle with a center (-1, -1) and radius of 0.5.

B. Nothing can be said about the curve.

C. The curve is completely contained in the rectangle [-1, 1] by [1, 3].

D. The curve is the line with endpoints (-1, 1) and (7, 3).

E. The curve must lie outside the rectangle [-1, 7] by [1, 3].

D. The curve is a circle with a center (-1, -1) and a radius of 3.

Answer: Yes

Step-by-step explanation: SSS criteria

Answer: the equation represents a circle centered at (-6, -6) with radius 2.

Step-by-step explanation:

x^2 + 12x + 36 + y^2 + 12y + 12 - 36 = 0

Simplifying, we get:

(x + 6)^2 + y^2 - 12 = 0

For the y terms, we add (12/2)^2 = 36 to both sides to get:

x^2 + 12x + 36 + y^2 + 12y + 36 - 24 = 0

Simplifying, we get:

(x + 6)^2 + (y + 6)^2 = 4

Therefore, the equation represents a circle centered at (-6, -6) with radius 2.

Answer: 0

Step-by-step explanation:

we use linear equation in one variable to solve the problem. Kiran swam 10 laps in the pool.

Let's represent the number of laps Kiran swam as "z".

We know that Clare swam 18 laps, which is 9/5 times as many laps as Kiran. We can represent this relationship with the following equation:

18 = (9/5)z

To solve for z, we can isolate it by multiplying both sides of the equation by the reciprocal of 9/5, which is 5/9:

18 * (5/9) = (9/5)z * (5/9)

10 = z

Therefore, Kiran swam 10 laps in the pool.

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Answer: If Amanda runs two miles the first week and then adds two miles each subsequent week, we can create a sequence using arithmetic progression. The common difference between each term in the sequence is two, and the first term is two.

Using the formula for the nth term of an arithmetic progression, we can find the number of miles Amanda would run in the first 10 weeks of her training:

an = a1 + (n-1)d

where:

an = the nth term of the sequence

a1 = the first term of the sequence (2 miles in the first week)

n = the number of terms (up to 10 weeks)

d = the common difference between each term (2 miles per week)

So for n = 1 to 10, we have:

a1 = 2

d = 2

n = 1: a1 + (n-1)d = 2 + (1-1)2 = 2

n = 2: a1 + (n-1)d = 2 + (2-1)2 = 4

n = 3: a1 + (n-1)d = 2 + (3-1)2 = 6

n = 4: a1 + (n-1)d = 2 + (4-1)2 = 8

n = 5: a1 + (n-1)d = 2 + (5-1)2 = 10

n = 6: a1 + (n-1)d = 2 + (6-1)2 = 12

n = 7: a1 + (n-1)d = 2 + (7-1)2 = 14

n = 8: a1 + (n-1)d = 2 + (8-1)2 = 16

n = 9: a1 + (n-1)d = 2 + (9-1)2 = 18

n = 10: a1 + (n-1)d = 2 + (10-1)2 = 20

Therefore, Amanda would run 2, 4, 6, 8, 10, 12, 14, 16, 18, and 20 miles in the first 10 weeks of her training if she followed the new regimen.

Step-by-step explanation:

The relationship between the functions are indicated in the attached graph. see further explanation below.

a. Elena's graph is obtained by shifting the original function f up by 50 units, so her function is g(d) = f(d) + 50 = 75 - (1.19)ª.

Han's graph is obtained by shifting the original function f up by 60 units and then to the right by 1 unit, so his function is h(d) = f(d - 1) + 60 = 85 - (1.19)^(a-1).

b. Using graphing technology, we can graph the three functions f, g, and h to compare how well they fit the given data. Here's an example graph:

graph of f, g, and h

c. From the graph, it appears that Han's function h fits the data better than Elena's function g. The graph of h seems to align more closely with the plotted data points than the other two functions. Moreover, the shift to the right and up of the graph of f seems to better capture the overall trend of the data, as it appears that the population increased and shifted slightly to the right over time.

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After 5 and a half minutes, the temperature of the water will be 77°F.

In this scenario, we are given that the initial temperature of the water is 80°F. We also know that the temperature of the water decreases by 0.5°F every minute. We want to find out what the temperature of the water will be after 5 and a half minutes.

To solve this problem, we need to use a bit of math. We know that the temperature of the water is decreasing by 0.5°F every minute. So after 1 minute, the temperature of the water will be 80°F - 0.5°F = 79.5°F. After 2 minutes, the temperature will be 79.5°F - 0.5°F = 79°F. We can continue this pattern to find the temperature after 5 and a half minutes.

After 5 minutes, the temperature of the water will be 80°F - (0.5°F x 5) = 77.5°F. And after another half minute (or 0.5 minutes), the temperature will decrease by another 0.5°F, so the temperature will be 77.5°F - 0.5°F = 77°F.

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The theoretical and experimental probability of rolling a 5 are 1/6 and 4/15 respectively.

We will calculate the theoretical probability by substituting 30 for the number of favorable outcomes as the die is rolled 30 times with one option each for 30 rolls and 180 for total number of outcomes in theoretical probability formula.

P(Theoretical probability of rolling a 5) = 30/180

P(Theoretical probability of rolling a 5) = 1/6.

The experimental probability is calculated by substituting 8 for the number of time the event occurs and 30 for the total number of trials.

P(Experimental probability of rolling a 5)= 8/30

P(Experimental probability of rolling a 5) =4/15

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A sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50.

To calculate the sample size required for a 98% confidence interval with a margin of error of 50, we need to use the following formula:

n = [Z*(σ/ME)]^2

where:

n = the sample size needed

Z = the Z-score for the desired confidence level (98% or 2.33)

σ = the standard deviation of apartments for rent in the area ($200)

ME = the margin of error ($50)

Plugging in the given values, we get:

n = [2.33*(200/50)]^2

n = [9.32]^2

n ≈ 86.7

Since we cannot have a fractional sample size, we round up to the nearest whole number to get the final answer.

Therefore, a sample size of 87 is required to obtain a 98% confidence interval with a margin of error of 50, given that the standard deviation of apartments for rent in the area is $200.

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The system of equation has no solution (option b).

Let's start by writing the equations in standard form, which is y = mx + b, where m is the slope of the line and b is the y-intercept. We have:

y = -5x - 1

y = -5x + 7

Both equations have the same slope of -5, which means they are parallel lines. However, the y-intercepts are different (-1 and 7), which means the lines are shifted up or down relative to each other.

We can also confirm this algebraically by subtracting one equation from the other:

y = -5x + 7 - (-5x - 1)

y = -5x + 5

We have simplified the system to a single equation in one variable, which has no solution. This confirms that the original system has no solution as well.

Hence the correct option is (b).

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Answer:

To make a true equation, check your math to make sure that the values on each side of the equals sign are the same. Ensure that the numerical values on both sides of the "=" sign are the same to make a true equation. For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation.

Answer:

$ 1644500

Step-by-step explanation:

Two triangles can be formed using the given measurements,

19. Triangle 1: A = 64°, B ≈ 53.07°, C ≈ 62.93°, a = 16, b ≈ 14.83, c ≈ 16.64

Triangle 2: A = 64°, B ≈ 126.93°, C ≈ 9.07°, a = 16, b ≈ 80.17, c ≈ 8.98

20. Triangle 1: A ≈ 52°, B = 38°, C ≈ 94°, a ≈ 22.57, b = b, c ≈ 34.60

Triangle 2: A ≈ 128°, B = 38°, C ≈ 14°, a ≈ 22.57, b = b, c ≈ 16.66

19. We are given angle A and the side opposite to it, a. We can use the law of sines to find the other sides and angles of the triangle:

a/sin(A) = b/sin(B) = c/sin(C)

b/sin(B) = a/sin(A)

b = a × sin(B)/sin(A)

b = 16 × sin(64°)/sin(180°-64°-90°)

b ≈ 14.83

c/sin(C) = a/sin(A)

c = a × sin(C)/sin(A)

c = 16 × sin(68°)/sin(64°)

c ≈ 16.64

Therefore, the two triangles are:

Triangle 1: A = 64°, B ≈ 53.07°, C ≈ 62.93°, a = 16, b ≈ 14.83, c ≈ 16.64

Triangle 2: A = 64°, B ≈ 126.93°, C ≈ 9.07°, a = 16, b ≈ 80.17, c ≈ 8.98

20. We are given angle B. Let the length of the side opposite to B be b. We can use the fact that the angles in a triangle add up to 180° to find angle A, and then use the law of sines to find the remaining sides and angles:

A = 180° - 90° - 38°

A = 52°

a/sin(A) = b/sin(B) = c/sin(C)

a/sin(52°) = b/sin(38°)

c/sin(C) = b/sin(38°)

c = b*sin(C)/sin(38°)

The angles in a triangle add up to 180°, so we have:

C = 180° - A - B

C ≈ 94°

Substituting the values of A, B, and C in the above equations, we get:

a ≈ 22.57

b = b

c ≈ 34.60

Therefore, the two triangles are:

Triangle 1: A ≈ 52°, B = 38°, C ≈ 94°, a ≈ 22.57, b = b, c ≈ 34.60

Triangle 2: A ≈ 128°, B = 38°, C ≈ 14°, a ≈ 22.57, b = b, c ≈ 16.66

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The question is -

In Exercises 19-22, two triangles can be formed using the given measurements.

Solve both triangles.

19. A = 64°, a = 16,

20. B 38°

Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.

The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.

 when we refer to an experiment or trial, we mean a random experiment. When difference  between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.

Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.

according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.

The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,

E(X) = n p = 15 n = 100

p = [tex]\frac{E(X)}{n} = \frac{15}{100}[/tex] = 0.15

Therefore, it is probability that 0.15 %of flights will arrive on time.

To determine the expected  number of trials from a total of 100

Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:

[tex]P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}[/tex]

We can calculate this 0.144 get  using a calculator.

therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.

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-2: | -2 |

-9: | -9 |

A p-value is a probability.

A p-value is the probability of obtaining a test statistic as extreme or more extreme.

The observed value, assuming the null hypothesis is true.

It ranges in value from 0 to 1 and represents the strength of evidence against the null hypothesis.

A p-value cannot be negative, as it is a probability and probabilities are always between 0 and 1.

A p-value also cannot be larger than 1, as it represents a probability.

A probability cannot exceed 1.

Finally, a p-value cannot be smaller than 0, as it represents a probability.

A probability cannot be negative.

the correct option is b. is a probability.

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Required value of X is 1.

What is equation?

An equation is a that asserts mathematical statement that two expressions are equal. It consists of two sides, the left-hand side and the right-hand side, separated by an equals sign. An equation can contain variables, constants, coefficients, and operators. The goal is to find the value(s) of the variable(s) that make the equation true. Equations are used in many branches of mathematics and in various applications, such as physics, chemistry, engineering, and economics.

To solve for the value of x, we need to isolate x on one side of the equation. We can do this by subtracting 3 from both sides of the equation,

X + 3 - 3 = 4 - 3

Simplifying the left-hand side gives,

X = 1

Therefore, the value of x is 1.

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Correct question is "Answer the question,

X+3 = 4,

What is the value of x?"

The probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.

We need to find the probability that you rolled a 5, given that the number rolled was greater than 3. Let's break this down step by step:

1. Identify the total number of outcomes: Since it is a 6-sided dice, there are 6 possible outcomes (1, 2, 3, 4, 5, and 6).

2. Determine the number of outcomes greater than 3: The outcomes greater than 3 are 4, 5, and 6. There are 3 possible outcomes that satisfy this condition.

3. Identify the number of outcomes that result in rolling a 5: There is only 1 outcome that results in rolling a 5.

4. Calculate the probability: To find the probability, divide the number of outcomes that result in rolling a 5 (1) by the total number of outcomes greater than 3 (3).

Probability = (Number of outcomes with a 5) / (Number of outcomes greater than 3) = 1/3

So, the probability that you rolled a 5, given that the number rolled was greater than 3, is 1/3 or approximately 0.333.

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The probability that the number rolled was a 5, given that it was greater than 3, is [tex]$\frac{1}{3}$[/tex].

The number rolled was greater than 3, it must be either a 4, 5, or 6.

The probability that the number rolled was a 5, given that it was greater than 3.

Let [tex]$A$[/tex] be the event that the number rolled is a 5 and let [tex]$B$[/tex] be the event that the number rolled is greater than 3.

Then, we want to find. [tex]$P(A|B)$[/tex], the probability of [tex]$A$[/tex] given [tex]$B$[/tex].

By Bayes' theorem, we have:

Bayes' theorem (alternatively Bayes' law or Bayes' rule), named after Thomas Bayes, describes the probability of an event, based on prior knowledge of conditions that might be related to the event.

The risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to an individual of a known age to be assessed more accurately by conditioning it relative to their age, rather than simply assuming that the individual is typical of the population as a whole.

One of the many applications of Bayes' theorem is Bayesian inference, a particular approach to statistical inference.

The probabilities involved in the theorem may have different probability interpretations.

Bayesian probability interpretation, the theorem expresses how a degree of belief, expressed as a probability, should rationally change to account for the availability of related evidence.

Bayesian inference is fundamental to Bayesian statistics, being considered by one authority as; "to the theory of probability what Pythagoras's theorem is to geometry."

[tex]$P(A|B) = \frac{P(B|A)P(A)}{P(B)}$[/tex]

[tex]$P(A) = \frac{1}{6}$[/tex], since there is only one way to roll a 5 on a 6-sided die.

[tex]$P(B) = \frac{3}{6} = \frac{1}{2}$[/tex], since there are three outcomes (4, 5, or 6) that satisfy. [tex]$B$[/tex], out of a total of six possible outcomes.

[tex]$P(B|A)$[/tex], the probability of rolling a number greater than 3, given that the number rolled is a 5, note that. [tex]$B$[/tex] is true only if the number rolled is a 4, 5, or 6.

Since there is only one way to roll a 5, and only one of these three outcomes satisfies. [tex]$A$[/tex], we have:

[tex]$P(B|A) = \frac{1}{1} = 1$[/tex]

Substituting these values into Bayes' theorem, we get:

[tex]$P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{1 \cdot \frac{1}{6}}{\frac{1}{2}} = \frac{1}{3}$[/tex]

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