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Answer:

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.457\frac{2.9}{\sqrt{31}} = 1.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.3 = 26.2 years

The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.3 = 28.8 years

The 98% confidence interval for the mean age of students at the time they take the comprehensive exam for all students enrolled in graduate programs that require students to take comprehensive exams is between 26.2 and 28.8 years. This means that we are 98% sure that the mean age of all students taking the exam is between 26.2 and 28.8 years.

Answer:

1. infinite many solutions

2. With solution: x+y=7 ,2x+y=6

Without solution: x+y=8 ,x+y=9

Infinite solution: x+y=3, 2x+2y=6

Step-by-step explanation:

By the way, can you follow me?

Thanks!

mˆDG=151∘∘

An arc’s length means the same commonsense thing length always means — you know, like the length of a piece of string

The measure of angle ∠DHG of the circle is = 151°

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of angle ∠DG of the circle be A

Now , the value of A is

Let the measure of m∠DHG = ( 11x - 36 )°

The measure of m∠GHF = ( x + 12 )°

And , the angles m∠DHG = m∠EHF ( vertically opposite angles )

And , the angles m∠GHF = ∠DHE ( vertically opposite angles )

So , 2 ( ( 11x - 36 )° + ( x + 12 )° ) = 360°  ( total angle of a circle = 360° )

On simplifying , we get

2 ( 12x - 24 ) = 360

Divide by 2 on both sides , we get

12x - 24 = 180

Adding 24 on both sides , we get

12x = 204

Divide by 12 on both sides , we get

x = 17

Now , the measure of m∠DHG = ( 11x - 36 ) = 151°

Hence , the measure of m∠DHG  of circle is 151°

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The angle is 90 because that' s a right angle.

Answer:

50

Step-by-step explanation:

that is a right angle so 90 degrees

so you could do

90-40=50

hope this helps:)

Answer:

One solution, x=1

Step-by-step explanation:

isolate the variable

Answer:

one solution x=1

Step-by-step explanation:

2(3+2x)=10

6+4x=10

4x=4

x=1

<3

Use this link to find your answer

https://lalinks.org/linksweb

Answer:

here you go

Step-by-step explanation:

"Correlation is not causation" means that just because two things correlate does not necessarily mean that one causes the other. ... Correlations between two things can be caused by a third factor that affects both of them. This sneaky, hidden third wheel is called a confounder

Why does correlation not equal causation example?

It does not tell us why and how behind the relationship but it just says the relationship exists. Example: Correlation between Ice cream sales and sunglasses sold. As the sales of ice creams is increasing so do the sales of sunglasses. Causation takes a step further than correlation.

Answer:

Its 3 on top of 4

Answer:

The top right one

Step-by-step explanation:

4x4(2)

Answer:

part b is 32

Step-by-step explanation:

Answer:

52.5 is the discounted price.

Step-by-step explanation:

(2 · 7.25 + 2 · 24) - 10

(14.5 + 2 · 24) - 10

(14.5 + 48) - 10

62.5 - 10

= 52.5

I had solved the expression you had provided, receving 52.5 as the discounted price in dollars. The work is above. Hope this helped!

9514 1404 393

Answer:

  $4.00

Step-by-step explanation:

We assume the price is proportional to the quantity of oranges. If p is the desired price in dollars, we want ...

  p/8 = 0.25/(1/2)

  p = 8(0.50) = 4.00 . . . . multiply by 8, simplify

8 kg of oranges would cost $4.00.

Answer:

7.8333

Step-by-step explanation:

Answer:

6 divided 17 is equivalent to 6/17

Answer: Goran = 18, Donna = 12, Austin = 54

Step-by-step explanation:

x + x - 6 + 3x = 84

5x - 6 = 84

5x = 90

x = 18

Hope this helps!

Answer:

27%

Step-by-step explanation:

The total books sold were 182 and the amount of books sold that were nonfiction hardcover were 49 as represented in the frequency table.

To find the percentage we must divide the nonfiction hardcover by the total books.

49/182≈0.269 or 0.27

Multiply the decimal by a 100 to change it into a percentage, so our answer is 27%.

Answer:a 27%

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

These state exam questions are checking that you know certain things about linear equations and inequalities, and how to solve and graph them. It is also checking that you now the meanings of certain math terms and can translate those meanings to relationships between numbers.

__

1. The "slope-intercept form" of a linear equation is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Note that the left side is "y =", eliminating the last two answer choices.

The problem tells you the slope is m = 2, and the y-intercept is b = 5. Then the equation is ...

  y = 2x + 5 . . . . matches A

__

2. The picture is fuzzy, but we think it says y ≥ 1. The little bar in the comparison symbol means "or equal to", so you're looking for a graph that shows numbers greater than or equal to 1. The "or equal to" means the end dot on the graph will not be an open circle, but will be a solid dot. The "greater than" means the shaded part of the line is to the right of that dot.

  graph C is the appropriate representation

__

3. The picture is fuzzy, but we think it says 126 < -7x. For this sort of inequality, you are expected to know that multiplying or dividing by a negative number will reverse the inequality symbol.

  126 < -7x . . . . given

  126/-7 > x . . . . divide both sides by the coefficient of x, -7

  -18 > x . . . . . matches D

__

4. This is a vocabulary question. Angles are "complementary" when their sum is 90°. The sums of the given angle pairs are ...

  A: 90° . . . . the correct answer choice

  B: 100°

  C: 180°

  D: 185°

Answer:

(1,5)

Step-by-step explanation

Subtract one equation to get rid of 5x. You will get -2y-6y=-5-35. y=5. Plug in y and find x. The answer is x=1, y=5.

Answer:

[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]

Answer:

25 / 72

Step-by-step explanation:

5/8 x 5/9 =

5 x 5 / 8 x 9 =

25/72

Answer:

https://www.learncbse.in/ncert-solutions-for-class-7-maths/

The TRUE statements about the study described above are :

• USE OF RANDOM SAMPLING

• USE OF A CONTROL GROUP

When selection from a population is performed such that all subjects in the population have equal chance of being selected, then we have a random process, the 30 selected athletes we're chosen without bias.

Also, when a certain group used in a research aren't subjected to the treatment process if the research, but are only used to compare the behavior of the TREATMENT group, then such group are called the CONTROL group. Hence, the 15 athletes who did not participate in any of the flexibility program are the control group.

The research doesn't exhibit any blinding or blocking procedure as it does not hide any information or contain an undesired variable.

Therefore, the TRUE statements are the study makes use of RANDOM SAMPLING AND A CONTROL GROUP.

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Answer:

This study uses random sampling.

Step-by-step explanation:

i got it wrong

Answer: 8 inches squared

Step-by-step explanation:

volume formula for cube: side length^3 (in this case it would be 2^3)

2^3 = 2 x 2 x 2 = 8

Answer:

x = 58°

Step-by-step explanation:

Length of tangents drawn to a circle from a point outside the circle, are equal in measure.

By using this property,

Two tangents PQ and PR will be equal.

And angles opposite to these sides will be equal.

Therefore, ∠PQR ≅ ∠PRQ

By triangle sum theorem,

m∠PQR + m∠PRQ + m∠QPR = 180°

x° + x° + 64° = 180°

2x = 180 - 64

2x = 116

x = 58°

Answer:

B

Step-by-step explanation:

Answer:

y=28/5

Step-by-step explanation:

Okay so for this we can use cross- multiplication. Basically, the product of the numerator of the first number and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second.

What I mean is: 4*7=5*y

so,

28=5y

y=28/5

Answer:

16square ft

Step-by-step explanation:

2x2+2x3x1/2x4=16 square ft

Area of base: 2x2

Area of one side of the triangular prism: 1/2xbasexheight=1/2 x2x3

Answer:

56 dollars

Step-by-step explanation:

Answer:

A & C

B & E

D & F

Step-by-step explanation:

Leave a like if this helped

Answer:

A

Step-by-step explanation:

sin: [tex]\frac{opposite}{hypotenuse}[/tex]

sin: [tex]\frac{CB}{AC}[/tex] = [tex]\frac{5}{11}[/tex]

For triangle ABC, sin(A) = 5/11

"If the angle measure less than 90° then it is an acute angle."

For a right triangle,

sin(theta) = opposite side/hypotenuse

where theta is an acute angle.

For given example,

we have been given a right triangle ΔABC

Since ∠B = 90°, ∠A and ∠C must be an acute angles.

⇒ sin(A) = BC/AC

⇒ sin(A) = 5/11

and sin (C) = AB/AC

⇒ sin(C) = (4√6)/11

Therefore, sin(A) = 5/11

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Answer: c. . A matched-pairs t-test for a mean difference

Step-by-step explanation:

Based on the information given in the question and assuming all conditions for inference are met, the appropriate test for the investigation will be a matched-pairs t-test for a mean difference.

Since a matched-pairs t-test can be used to determine if a significant mean difference exist between two paired data, then this will be appropriate in this case since the safety officers at both schools want to know if there's an average difference in the number of cars parked per day in the student parking lots for the school year.

The appropriate test for the investigation of the given case is done by: Option C:  A matched-pairs t-test for a mean difference

When there has to be done comparison between means of two sets of paired data, then we use matched pair t test.

For the given case the investigation is to know whether there is an average difference in the number of cars parked per day in the student parking lots for the school year for both the schools in consideration.

So there are two data sets and comparison of their mean is to be done.

Thus, the appropriate test for the investigation of the given case is done by: Option C:  A matched pairs t-test for a mean difference.

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