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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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## N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

N a beanbag toss game, Janelle scores 5 points for landing on a round target and 8 points for landing on a square target. She needs more than 50 points to win. Let x represent the number of times Janelle lands on the round target and let y represent the number of times she lands on the square target. Which inequality represents the situation?

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## What verb tense needs to be change in this sentences Jem loses control during his back swing, drops the ball from his fingers, and scores.

What verb tense needs to be change in this sentences Jem loses control during his back swing, drops the ball from his fingers, and scores.

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## Construct a histogram from the following percentage scores on a math test using intervals of 10 percent. 22 30 37 45 46 46 49 53 55 56 57 57 59 60 60 62 62 62 67 69 72 73 73 73 75 75 76 76 78 78 80 80 81 82 83 83 86 87 89 90 91 92 95 95 97 97 99

Data range
22
30 37
45 46 46 49
53 55 56 57 57 59
60 60 62 62 62 67 69
72 73 73 73 75 75 76 76 78 78
80 80 81 82 83 83 86 87 89
90 91 92 95 95 97 97 99

In the histogram that I will make, the vertical values represents the frequency of the data. The horizontal value represents the 10% interval of the grades.

Pls. see attachment.

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## To analyze the test scores of students in a math class, would a teacher use a dot plot or histogram to represent the scores? briefly explain why

To analyze the test scores of students in a math class, would a teacher use a dot plot or histogram to represent the scores? briefly explain why

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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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## 13. I plan to work with a tutor three days per week for one hour over the next three months so that I can improve my SAT scores. This is an example of a: a.performance goal b.outcome goal

Individuals eliminate alcohol from their bodies at an approximate rate of .015 BAL per hour. Correct answer: C Once alcohol has entered your bloodstream, your body will begin to metabolize it at a rate of 20 milligrams per deciliter (mg/dL) per hour. Despite the fact that alcohol is metabolized at a constant rate, some people may feel the effects of alcohol for longer amounts of time. The reason is because BAL is affected by several factors, like age, weight, medications…

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## Sat scores are distributed with a mean of 1,500 and a standard deviation of 300. you are interested in estimating the average sat score of first year students at your college. if you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?

Sat scores are distributed with a mean of 1,500 and a standard deviation of 300. you are interested in estimating the average sat score of first year students at your college. if you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?

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## Jessie received the following scores on her math tests this year. (45, 65, 70, 80, 85, 100) Suppose the teacher removes the lowest and highest scores. (65, 70, 80, 85) What are the interquartile ranges of Jessie’s original scores and her new scores?

Jessie received the following scores on her math tests this year. (45, 65, 70, 80, 85, 100) Suppose the teacher removes the lowest and highest scores. (65, 70, 80, 85) What are the interquartile ranges of Jessie’s original scores and her new scores?

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## Jay low received scores of 87 and 98 on his first two exams of the grading period. At least what score must Jay earn on the next exm for the test average to be at least a 93 for the grading period?

Ahemmm having x-intercepts of -3 and -5.. ..well, that simply means, -3 and -5 are roots or solutions or zeros of the equation

it namely means x = -3 and x = -5, an x-intercept is when the graph touches the x-axis, at that point, the y-intercept is 0, so the point is (-3, 0) and (-5, 0)

if the roots are -3, and -5, then

if you have the zeros/x-intercepts/solutions of the polynomial, all you have to do is, get the factors, as above, and get their product, to get the parent original polynomial.

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## The highest score that is a record for a particular video game is 19,749 points. The lowest score on record for the same video game is 176 points. Which of the following inequalities best shows the range of scores recorded on the game?

The point that lie on the line is:

B.  (1,1)

## Step-by-step explanation:

We are given that a line passes through the point (0,-1) and has a slope of 2.

We know that the equation of a line passing through (a,b) and having slope m is given by:

Here we have:  (a,b)=(0,-1) and m=2

This means that the equation of line is:

Now we will check which option is true.

A)

(2,1)

when x=2

we have:

Hence, option: A is incorrect.

B)

(1,1)

when x=1

we have:

Hence, option: B is correct.

C)

(0,1)

when x=0

we have:

Hence, option: C is incorrect.

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## 4.36 question help to get a b in? math, alexandria pappas must average 80 on five tests. scores on the first four tests were 8282?, 7878?, 8282?, and 7777. what is the lowest score that she can get on the last test and still get a? b

Solution:

The Given Rectangle having dimensions

Length = 80 cm

Let the Six squares which has been cut from this rectangle have side of length a cm.

Area of each square = (Side)²= a²

Area of 6 Identical Squares = 6 × a²= 6 a²

If four squares are cut from four corners and two along Length,

then , Length of Box = (80 – 3 a)cm, Breadth of Box = (50 – 2 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 3 a)× (50 – 2 a)× a

V   = 4000 a – 310 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 620 a + 18 a²

V’ =0

18 a² – 620 a + 4000= 0

9 a² – 310 a + 2000=0

using determinant method

cm

V”=1 8 a – 310 = -ve

which shows , when a = 8.6 cm , volume is maximum.

So, V = 4000×8.6 – 310×(8.6)²+6×(8.6)³=15288.736 cm³

OR

If four squares are cut from four corners and two along Breadth,

then , Length of Box = (80 – 2 a)cm, Breadth of Box = (50 –  3 a)cm, Height = a cm

Volume of Box =V = Length × Breadth × Height

V = (80 – 2 a)× (50 – 3 a)× a

V   = 4000 a – 340 a² + 6 a³

For Maximum Volume

V’= 0 , where V’ = Derivative of V with respect to a.

V’= 4000 – 680 a + 18 a²

V’ =0

18 a² – 680 a + 4000= 0

9 a² – 340 a + 2000=0

Using Determinant method

cm

V”=18 a -340= -ve value when a = 7.6 cm, shows volume is maximum when a = 7.6 cm

V= 4000×7.6 -340 × (7.6)² +6× (7.6)³=13395.456 cubic cm

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## Converting scores into Z scores standardizes the original distribution to units of the

Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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## Find the mean, median, and mode of the data set. round to the nearest tenth. test scores on a math exam: 88,89,65,62,83,63,84,63,74,64,71,82,66,88,79,60,86,63,93,99,60,85 a. mean = 69.5, median = 76.5, mode = 63 b. mean = 75.8, median = 89.5, mode = 6 c. mean = 75.8, median =76.5, mode = 63 d. mean = 69.5, median = 76.5, mode = 79.5

The correct options are:

• Four families said they ate out twice the previous week.
• One family said they ate out 5 times the previous week.
• The median best represents the data set.

Step-by-step explanation:

We are given a data set as:

4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1

On arranging this data set in the frequency table we get:

Number of times they went for dinner    Number of families

0                                                          2

1                                                           3

2                                                          4

3                                                           1

4                                                           2

5                                                           1

6                                                            1

• Hence, the range of the number line is between 0 to 6.
• Also there are 4 dots above 2.

Hence,  Four families said they ate out twice the previous week.

• Also there is one dot above 5.

Hence,  One family said they ate out 5 times the previous week.

• The data set is not symmetrical since the median is 2 and the data points to the left and to the right do not have symmetry.

Hence, the data set is not symmetrical.

• Also we know that the median of the data is the central tendency of the data and always best represents the data.

Hence, The median best represents the data set.

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## John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality will tell him at least how many more points he needs to pass the class?

100

B is correct

Step-by-step explanation:

If three-digit numbers greater than 200 can be formed from the digits 1, 2, 6, 7, and 9

Here we have total number of digits are 5

We need to make 3-digit number which is greater than 200

First digit must be 2 or greater than 2

From list of number 1,2,6,7,9

Four numbers are greater than equal to 2

For 1st place total number of possibility = 4

For 2nd place number of possibility = 5

For 3rd place number of possibility = 5

Total numbers of which are greater than 200 = 4 x 5 x 5

= 100

Hence, 100 three-digit number greater than 200

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## Katelyn says that her biology test scores are much higher than her math test scores. Based on the shape of the data, which explains whether Katelyn is correct? Katelyn is correct because the score of 90 in biology is higher than any of her math scores. Katelyn is correct because her biology scores have a much wider range than her math scores. Katelyn is not correct because her score of 83 in biology is lower than any of her math scores. Katelyn is not correct because the middle of the data is about the same for each plot.

I’m going to assume that the table looks like this:

Plants: 15 | 20
Fish:  6  |  8

If this is what it looks like, then the equation is:

2F=5P, or F=2.5P

When you have 3 plants, then you can substitute and solve:

2F=5P –> 2F=5(3)     –Substitute
2F=5(3) –> 2F=15     –Multiply
2F=15 –> F=7.5     –Divide

be incorrect because we can clearly see that there are more plants than fish.

So, another method that you could use is to fill in the table:

Plants: 0 | 5 | 10 |15 | 20
Fish: 0 | 2 |  4 |  6  |  8

We can see from the table that when there are 0 plants, there are 0 fish,
and when there are 5 plants, there are 2 fish. We know that 3 is 3/5 of 5,
so we can use this ration to find 3/5 of 2, to find the number of fish in the
tank when there are 3 plants.

3/5 of 2 ends up being 1.2, but it’s impossible to have 1.2 fishes (yes,
fishes is indeed a word), so you should round down to the nearest whole
fish.

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## With respect to intelligence testing in adulthood, scores on items measuring fluid intelligence _____ with age and scores on items measuring crystallized intelligence _____ with age.

With respect to intelligence testing in adulthood, scores on items measuring fluid intelligence _____ with age and scores on items measuring crystallized intelligence _____ with age.

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## Read the thesis statement below and answer the question that follows. Should colleges accept students with high test scores or students with strong extracurricular backgrounds? How can this thesis statement be improved? The college admission process reveals a challenge facing counselors: accepting students with high test scores or students with strong extracurricular backgrounds. As a future employer, would you value test scores over real-life experience? Most colleges should consider test scores when determining whom to accept. Most colleges should consider extracurricular activities when determining whom to accept.

Wuthering Heights, a manor in the Yorkshire moors, is associated with all that is primeval, natural, passionate, and wild. The residents of this manor, the Earnshaws and Heathcliff, exhibit a similar ruggedness and wildness in their behavior. This manor, as Lockwood observes, looks more like the home of a northern farmer than that of a gentleman.

In contrast, Thrushcross Grange symbolizes the sophisticated, civilized world. The manor is opulent, manicured, and well maintained. Similarly, the Lintons represent the refined English gentry, who are conscious of their status and display proper social etiquette and behavior. We get a view of the residents of Thrushcross Grange from what Heathcliff tells Nelly in chapter 6:

The light came from thence; they had not put up the shutters, and the curtains were only half closed. Both of us were able to look in by standing on the basement, and clinging to the ledge, and we saw—ah! it was beautiful—a splendid place carpeted with crimson, and crimson-covered chairs and tables, and a pure white ceiling bordered by gold, a shower of glass-drops hanging in silver chains from the centre, and shimmering with little soft tapers. Old Mr. and Mrs. Linton were not there; Edgar and his sisters had it entirely to themselves.

Nelly’s comment in chapter 6 also conveys the civilized traits of the Lintons:

‘They are good children, no doubt, and don’t deserve the treatment you receive, for your bad conduct.’

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## The expected number of free throws is the probability of one free throw (70%) times the number of free throws. 6 * 0.7 = 4.2 so you expect about 4 free throws out of the 6. As you can see in the simulations above, the number of scores were all close to 4.

The expected number of free throws is the probability of one free throw (70%) times the number of free throws. 6 * 0.7 = 4.2 so you expect about 4 free throws out of the 6. As you can see in the simulations above, the number of scores were all close to 4.

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## Four students took a national standardized test for which the mean was 500 and the standard deviation was 100. Their scores were 560, 450, 640, and 530. Determine the z-value for each student.

To get the z-value of the scores of the four students, we are going to use the formula for standard score or z-score.  It is score minus the mean score, then divided by standard deviation.

z= Score (X)-Mean / SD

To find the z-value of each score, we have to use a Z table.  Using the z-score, we are to look first at the y-axis of the table which will highlight the first two digits of the z-score. Then, the x-axis for the second decimal place of the z-score.

You can use this as reference for the z-table: http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf

Mean= 500SD= 100Scores= 560, 450, 640, 530
For the student who scored 560,z= X-Mean / SDz= 560-500 / 100z= 60 / 100z= 0.6
The score is 0.6 standard deviation above the mean. The z-value is 0.7257 or 72.57%.
For the student who scored 450,z= X-Mean / SDz= 450-500 / 100z= -50 / 100z= -0.5
The score is -0.5 standard deviation above the mean. The z-value is 0.3085 or 30.85%.

For the student who scored 640,z= X-Mean / SDz= 640-500 / 100z= 140 / 100z= 1.4
The score is 1.4 standard deviation above the mean. The z-value is 0.9192 or 91.92%.
For the student who scored 530,z= X-Mean / SDz= 530-500 / 100z= 30 / 100z= 0.3
The score is 0.3 standard deviation above the mean. The z-value is 0.6179 or 61.79%.

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## Here are the IQ scores of 10 randomly chosen fifth-grade students: 145,139,126,122,125,13,96,110,118,118. TRUE OR FALSE If the value 96 were removed from the data set, the IQR of the remaining 9 IQ scores would be lower than the IQR of all 10 scores.

Next two number would be –5, –10, –20,–40, –80, –160.

Step-by-step explanation:

Given : –5, –10, –20, –40, . . .

To find : Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.

Solution : We have given that

–5, –10, –20, –40, . . .

We can see from given pattern

-5 * 2 = – 10.

– 10 * 2 = – 20 .

-20 * 2 = – 40

So, each number is multiplied by 2 to get next number.

-40 * 2 = – 80 .

– 80 * 2 = – 160 .

Therefore, Next two number would be –5, –10, –20,–40, –80, –160.

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## In a research studying the effect of sugar intake on concentration, the researcher randomly assigns student participants to either a group that receives water before taking a test or juice and candy before taking a test. The independent variable in the study is the: sugar consumption water test scores control group the difference between test scores

Here’s what I would do:

Make Sure To Indent Each Paragraph

1st paragraph 1st sentence- remove “any”
1st paragraph 2nd sentence- change “especially applies” to “is crucial”, remove the comma, and replace “including” with “such as”

2nd paragraph, 1st sentence- remove “with our enemy being Japan,” *this adds unnecessary info*
2nd paragraph 3rd sentence- remove “with our enemy being North Vietnam,” *this adds unnecessary info*
2nd paragraph 5th sentence- remove “war” after “nuclear” of add “war” after “conventional”
2nd paragraph(?)- remove this sentence “The transformation of conventional war…”

3rd paragraph, 1st sentence- add “but” before “specific”
3rd paragraph 2nd sentence- add “that influenced American society’s opinions of the Vietnam War” before “included the My Lai Massacre…” and remove the capitalization on “shootings”
3rd paragraph 3rd sentence- remove “a company of”, replace “the population of” with “citizens living in”
3rd paragraph 4th/5th sentence- replace the period with a semicolon, remove “the” and capitalize “president”, remove comma after “President”,
3rd paragraph 7th sentence- I’m not sure about “whom,” so just leave it
3rd paragraph 8th sentence- remove “greatly affected the opinions of the American public…” *since you listed it earlier in the paragraph*

4th paragraph 1st sentence- replace “things” with “events” or “actions” (or both), place a period after support (where the comma is)
4th paragraph 2nd sentence- remove “and”, Capitalize “In”, and replace “pertaining to” with “that occurred during”

Overall, you wrote a good essay. I hope I was able to help!

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## A school principal wants to observe how classroom area has an effect on classroom learning. The principal randomly chooses a group of students of the same age and grade, and places them in a classroom with an area of 400 square feet. The test scores of the class are recorded and analyzed at the end of the semester.

Diameter=22 inches

Step-by-step explanation:

It is given that The area of a circle is approximately 379.94 square inches, then using the formula for the area of the circle, we get

Substituting the given values, we have

Now, the diameter of the circle is given as:

Putting the value of r, we have

Thus, the diameter of the circle is 22 inches.

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## Program should allow for user to enter students name and his four test scores it should calculate and display the average and letter grade

A) Playing a decent game of table tennis (Ping-Pong) – This is solvable by computers.

B) Driving in the center of Cairo, Egypt – This is solvable by computers.

C) Buying a week’s worth of groceries at the market – This is not solvable by computers.

D) Buying a week’s worth of groceries on the Web – This is solvable by computers.

E) Playing a decent game of bridge at a competitive level – This is solvable by computers.

F) Discovering and proving new mathematical theorems – This is not solvable computers.

G) Writing an intentionally funny story – This is not solvable by computers.

H) Giving competent legal advice in a specialized area of law – This is not solvable by computers.

I) Translating spoken English into spoken Swedish in real time – This is solvable by computers.

J) Performing a complex surgical operation – This is not solvable by computers.