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## A random sample of 25 statistics examinations was taken. the average score in the sample was 76 with a standard deviation of 12. assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is:

Since the sample size is less than 30, therefore we use
the t statistic.

Let us define the given variables:

N = sample size = 25

X = average score = 76

s = standard deviation = 12

99% Confidence interval

Degrees of freedom = n – 1 = 24

The formula for confidence interval is given as:

CI = X ± t * s / sqrt N

using the standard distribution table, the t value for DF
= 24 and 99% CI is:

t = 2.492

Therefore calculating the CI using the known values:

CI = 76 ± 2.492 * 12 / sqrt 25

CI = 76 ± 5.98

CI = 70.02, 81.98

Answer: The average score ranges from 70 to 82.

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## You used three methods of analysis to find the acceleration of the cart on the track: a two-point difference from v(t), an average of a(t) that was itself calculated by a succession of first differences of the v(t) data, and a line fit to v(t). some criteria to help you consider which method is best are part a in which type of graph(s) is it easiest to see whether the acceleration was constant?

The best way to find that you want is the line fit. When acceleration is constant the speed(v) changes smoothly every moment, so the v line must be straight. Differently, the accelaration changes.

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## Calculate the average acceleration from the following data points; V1=150m/s, v2=975m/s, t1=15s, t2=55s

Calculate the average acceleration from the following data points; V1=150m/s, v2=975m/s, t1=15s, t2=55s

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## Cornerstone bakery sold 78 pies on Monday,96 pies on tuesday,40 pies on Wednesday,104 pies on Thursday and 77 pies on Friday.on average, how many pies did they sell per day

Cornerstone bakery sold 78 pies on Monday,96 pies on tuesday,40 pies on Wednesday,104 pies on Thursday and 77 pies on Friday.on average, how many pies did they sell per day

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## What is the average debt for individuals 22-29?

What is the average debt for individuals 22-29?

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## Consider college officials in admissions registration, counseling, financial aid campus ministry, food services, and so on. How much money do these people make each year? Suppose you read in your local newspaper that 45 officials in student services earn an average of \$50,340 each year. Assume that the standard deviation is \$10,780 for salaries of college officials and student services. Find a 90% confidence interval for the population mean salaries of such personnel. Round your answer to the nearest dollar and don;t forget to use the \$ sign.

Since sample size is > 40, we use the z-score
in calculating for the confidence interval.

The formula is given as:

Confidence Interval = X ± z * σ / sqrt (n)

Where,

X = mean = \$50,340

z = z-score which is taken from standard distribution
tables at 90% confidence interval = 1.645

σ
= standard deviation = \$10,780

n = sample size = 45

Substituting to the equation:

Confidence Interval = 50,340 ± 1.645 * 10,780 / sqrt (45)

Confidence Interval = 50,340 ± 1,607

Confidence Interval = \$48,733 to \$51,947

Therefore the salary range of the personnel is \$48,733 to \$51,947.

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## John goes for a run. From his house, he jogs north for exactly 5.0 min at an average speed of 8.0 km/h. He continues north at a speed of 12.0 km/h for the next 30.0 min. He then turns around and jogs south at a speed of 15.0 km/h for 15.0 min. Then he jogs south for another 20.0 min at 8.0 km/h. He walks the rest of the way home. Which is the correct plot of total distance as a function of time for John’s jog?

John goes for a run. From his house, he jogs north for exactly 5.0 min at an average speed of 8.0 km/h. He continues north at a speed of 12.0 km/h for the next 30.0 min. He then turns around and jogs south at a speed of 15.0 km/h for 15.0 min. Then he jogs south for another 20.0 min at 8.0 km/h. He walks the rest of the way home. Which is the correct plot of total distance as a function of time for John’s jog?

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## The average size of inupiaq groups living together were

The average size of inupiaq groups living together were

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## You are giving the following amounts: \$190,258.50; \$152,698.00; \$122,753.00; \$220,523.00; \$231,951.00. What is the average of these five amounts?

You are giving the following amounts: \$190,258.50; \$152,698.00; \$122,753.00; \$220,523.00; \$231,951.00. What is the average of these five amounts?

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## How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? how to write a formula

How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? how to write a formula

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## The average person falls asleep in seven minutes, but I couldn’t sleep, not after hours, and it made my boots lighter to be around his things, and to touch stuff that he had touched, and to make the hangers hang a little straighter, even though I knew it didn’t matter. How does the narration affect Oskar’s credibility in this excerpt? His insomnia renders him sleep deprived and confused. His efforts to soothe himself render him earnest and genuine. His obsessive straightening makes him seem unstable. His hopeless resignation makes him seem desperate.

The correct answer is B) his efforts to soothe himself rendered him earnest and genuine.

The narrator affects Oskar’s credibility in the excerpt in that his efforts to soothe himself rendered him earnest and genuine.

The passage is an excerpt of the novel “Extremely Loud And Incredibly Close”, written by Jonathan Safran Foer in 2005. In the story, the narrator is Oskar Shell, a 9-year-old boy. In the story, Oskar finds a key that belonged to his father that was killed in the terrible incidents of the September 11 terrorists attacks in the World Trade Center, in New York. So, regarding the excerpt, the narrator affects Oskar’s credibility in that his efforts to soothe himself rendered him earnest and genuine.

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## Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot below shows the temperatures from the previous year during the time that Dominick will take his vacation:Which city should Dominick visit, and why? He should visit Orlando. It has a greater IQR. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average. He should visit Tampa Bay. The highest temperature occurred there. He should visit Tampa Bay. The range is very large, so there is a better chance that any given day will be warm.

Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot below shows the temperatures from the previous year during the time that Dominick will take his vacation:Which city should Dominick visit, and why? He should visit Orlando. It has a greater IQR. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average. He should visit Tampa Bay. The highest temperature occurred there. He should visit Tampa Bay. The range is very large, so there is a better chance that any given day will be warm.

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## One year farmers recieved an average of \$13.145 per bushel of wheat. How much did the farmer receive for selling 100 bushels of wheat?

One year farmers recieved an average of \$13.145 per bushel of wheat. How much did the farmer receive for selling 100 bushels of wheat?

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## The function that represents the average cost per person, including transportation, to a museum is y= 25+8x/x Which statement is true about the graph of the function? The horizontal asymptote y = 0 means the cost approaches zero as the number of people increases. The horizontal asymptote y = 8 means the average cost approaches \$8 as the number of people increases. The vertical asymptote x = 0 means the cost approaches zero as the number of people increases. The vertical asymptote x = 8 means the cost approaches zero as the number of people increases.

The statement that is true about the graph of the function from the equation y = 25 + 8x/x which represents the average cost per person is “The horizontal asymptote y = 8 means the average cost approaches \$8 as the number of people increases.” It means that as x increases which represents the number of people, the value of the transportation to a museum averages to eight dollars.

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## PLEASE HELP!!!!!! The Jonas school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IRQ σ High School M 128 180 62 141 160 55.5 41.5 High School N 131 180 49 159 154 48.5 36.5 High School P 140 180 40 153 165 32.5 31.5 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

High School P has the most consistent attendance among its students.

School N should be awarded for the highest average attendance.

Step-by-step explanation:

Consider the provided information.

Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically.

Standard deviation (σ) is a measure of how a data set is spread out.

If the standard deviation is low, this implies that the information tends to be near to the set mean, whereas a high standard deviation implies that the information points are spread across a wider spectrum of values.

Therefore, for more consistency we need to look for the low standard deviation.

From the provided table we can see that the school P has low standard deviation (σ) i.e 31.5

Hence, High School P has the most consistent attendance among its students.

Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically.

The formula for mean is:

Mean is the same as average.

The sum of mean or average will be larger if each students contributes more attendance.

For highest average attendance the school with higher mean should be awarded.

Hence, School N should be awarded for the highest average attendance.

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## Average temperature of australia in summer

Average temperature of australia in summer

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## What average global temperature is maintained when there is a balance in Earth’s energy budget?

What average global temperature is maintained when there is a balance in Earth’s energy budget?

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## The table below represents the displacement of a horse from its barn as a function of time: Time(hours) x. 0 1 2 3 4 Displacement from barn (feet) y 8 58 108 158 208 part a: what is the y-intercept of the function, and what does this tell you about the horse? part b: calculate the average rate of change of the function represented by the table between x=1 to x=3 hours, and tell what the average rate represents. part c: what would be the domain of the function of the horse continued to walk at this rate until it traveled 508 feet from the barn?

The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

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## The table below represents the displacement of a horse from its barn as a function of time: Time(hours) x. 0 1 2 3 4 Displacement from barn (feet) y 8 58 108 158 208 part a: what is the y-intercept of the function, and what does this tell you about the horse? part b: calculate the average rate of change of the function represented by the table between x=1 to x=3 hours, and tell what the average rate represents. part c: what would be the domain of the function of the horse continued to walk at this rate until it traveled 508 feet from the barn? PLEASE HELP!! WILL RATE BRAINLIEST!!

A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,

y – intercept
= 8

Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.

B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:

average rate
of change = m = (y2 – y1) / (x2 – x1)

m = (158 –
58) / (3 – 1)

m = 50

C.  Since we have determine the y-intercept and
the slope, we can formulate the linear equation:

y = m x + b

y = 50 x + 8

The domain
is the value of x. When y = 508, x is equivalent to

508 = 50 x +
8

x = 10 hrs

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## The waitress and hostess at a restaurant share the tips at the end of every shift. Between the two of them, they earn an average of \$75 in tips. The waitress take \$55 and the hostess takes \$20. If they continue to earn money at this rate, how much will the waitress receive if they earn \$300 at the end of their next shift?

3 hours.

Step-by-step explanation:

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

Let us have a common denominator.

Upon cross multiplying our equation we will get,

Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.

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## The table shows the scores of 20 students on a history test. What is the average student score? Score. Number of Students 90. 3 85. 5 80. 3 75. 4 70. 2 60. 0 55. 3 A. 26 B. 74 C. 77 D. 85

The table shows the scores of 20 students on a history test. What is the average student score? Score. Number of Students 90. 3 85. 5 80. 3 75. 4 70. 2 60. 0 55. 3 A. 26 B. 74 C. 77 D. 85

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## A math teacher wants to find out the average number of hours his students spend working on their math homework for his class each week. Which group would best represent a sample of the population? the first 30 students who enter the school building one morning 30 students selected from the lunchroom 30 students selected from his class rosters 30 students who stay after school for football practice

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## What is the average speed (miles/hour) for an object going 1500 feet in 1 minute. Round answer to two decimal places.

You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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## A ship traveled for a total of 72 miles over the course of 6 hours. Heading south, the ship traveled at an average speed of 13 miles per hour, and heading east, it traveled at an average speed of 10 miles per hour. For how many hours was the ahi heading east?

A ship traveled for a total of 72 miles over the course of 6 hours. Heading south, the ship traveled at an average speed of 13 miles per hour, and heading east, it traveled at an average speed of 10 miles per hour. For how many hours was the ahi heading east?

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## Use the graph below for this question: graph of parabola going through negative 5, 1 and negative 4, negative 4. What is the average rate of change from x = −5 to x = −4?

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.