The American Opportunity Credit is?

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

At the null hypothesis, it is tested if they spend on average 19 hours a week working, that is:

[tex]H_0: \mu = 19[/tex]

At the alternative hypothesis, it is tested if they spend more than 19 hours a week working, that is:

[tex]H_1: \mu > 19[/tex]

We have the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

Searching the problem on the internet, it is found that the values of the parameters are:

[tex]\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}[/tex]

[tex]t = 2.07[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of [tex]t^{\ast} = 1.71[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that the students' claim that they work more than 19 hours is correct.

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The volume of a sphere is directly proportional to the radius cube thus with an increase in the radius it will increase so option (A) is correct.

A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.

For example, if you have a sphere of radius r then its surface area will be 4πr² and

The volume of a sphere with radius r is given as (4/3)πr³.

V ∝ r³

By increasing the radius r the volume V will rapidly increase.

Hence "Because the volume of a sphere is precisely proportional to the cube of its radius, it will grow as the radius grows".

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Answer:

[tex]f(-3)\approx0.35[/tex]

Step-by-step explanation:

[tex]f(x)=7e^x[/tex]

[tex]f(-3)=7e^{-3}\approx0.35[/tex]

Answer:

ray

Step-by-step explanation:

===================================================

Explanation:

To get the point estimate, we average the endpoints of the given confidence interval. Add up the endpoints and divide by 2

(low+high)/2 = (0.262+0.622)/2 = 0.442

The value 0.442 is right in the middle of the confidence interval, so it's a natural point estimate for the population proportion.

--------------

Alternative Method:

Subtract the endpoints to find the confidence interval width

width = high - low = 0.622 - 0.262 = 0.36

Cut this in half to get the margin of error (MoE)

MoE = width/2 = 0.36/2 = 0.18

Then we can either add on the MoE to the low endpoint, or subtract it from the high endpoint, to land on the center

Answer:

a = b = 1 , c = - 8

Step-by-step explanation:

ax² + bx + c = y

( - 5 )² a - 5b + c = 12

c = - 8

3² a + 3b + c = 4

25a - 5b - 8 = 12 ⇔ 25a - 5b = 20 ⇔ 5a - b = 4 ........ (1)

9a + 3b - 8 = 4 ⇔ 9a + 3b = 12 ⇔ 3a + b = 4 .......... (2)

(1) + (2)

8a = 8 ; a = 1

b = 1

y = x² + x - 8

The length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

Given:

Kit

Plane = 27 feet

wingspan = 18 feet

Model:

Plane = 13.5 inches

Wingspan = x feet

convert 13.5 inches to feet

1 feet = 12 inches

13.5 inches = 1.125 feet

So,

equate Ratio of plane to wingspan

27 : 18 = 1.125 : x

27/18 = 1.125 / x

cross product

27 × x = 18 × 1.125

27x = 20.25

x = 20.25/27

x = 0.75 feet

Therefore, the length of the wingspan of the finished model based on the dimensions of the kit is 0.75 feet

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Answer:

17 and a half days OR 18 days

Step-by-step explanation:

7 books : 8 days

20 books: x days

cross multiply

x = (8×20)÷ 7

x = 17.5

therefore

17 and a half days or 18 days

[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]

Slope is the change in Y over the change in X:

Slope = (25- -25) / (27 - 28)

Slope = 50/-1

Slope = -50

Answer:

ADF

Step-by-step explanation:

A.root 75=root25 xroot3=5root3

B.=root15

C=75

D=5root3

E:=root9xroot5=3root5

F=root5xroot5xroot3=5root3

The solution is Option A , Option D , Option F

The values of the equations are √75 , √25 x √3 and √15 x √5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 5√3   be equation (1)

On simplifying the equation , we get

The value of A = √ ( 5 )² ( 3 )

The value of A = √25 x √3

The value of A = √75

The value of A = √15 x √5

Hence , the values of the equations are √75 , √25 x √3 and √15 x √5

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[tex] \: \: \: \: [/tex]

[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]

Step-by-step explanation:

[tex](ab + bc)(ab - bc)[/tex]

[tex](ab {)}^{2} - (bc {)}^{2} [/tex]

[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]

1. We can simply multiply 6.50 by 2!

6.50 x 2 = 13

The book cost $13

2. The easiest way to do this is to convert the fractions into decimals.

1/4 = 0.25

1/5 = 0.2

1/8 = 0.125

Add them together: 0.575!

Subtract this from 1: .425

Multiply by 100: 42.5

42.5% is your answer!

Hope this helps!

Answer: B

Step-by-step explanation:

Answer:

5,976 workers

Step-by-step explanation:

498 times 12 = 5976

Answer: 41.5

Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.

Answer:

I think this is right lol

Step-by-step explanation:

f(x)=49+x

Answer:

standard deviation of the sample distribution of the difference between these two sample means

Step-by-step explanation:

Answer:

38inch2

Step-by-step explanation:

3inch*2inch+8inch*4inch

=6inch2+32inch2

=38inch2

Answer: a

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

Answer:

n=7

distribute 1/3 by 1/3 and 1 then distribute 1/6 to 3n and 5 combine like terms for both sides simplifying to -n=(-7) divide - by n and -7 getting you n=7.

[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]

[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]

[tex]\\ \sf{:}\dashrightarrow x=6[/tex]

#y

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]

[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]

[tex]\\ \sf{:}\dashrightarrow y=8[/tex]

Here we go

And

Answer:

B

Step-by-step explanation:

lmk if you want an explanation

Answer:

  x → -∞, y → ∞

  x → ∞, y → -∞

Step-by-step explanation:

The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...

  x → -∞, y → ∞

  x → ∞, y → -∞

Answer:

29.455

Step-by-step explanation:

add the inches of fabric together and divide by the total number of players and coaches

The required linear equation representing the distribution is

p(x) = -0.1x + 0.5

From the table given, we can generate the equation for the distribution.

Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)

The linear expression will be in the form p(x) = mx + b

Gete the rate of change:

m = 0.3-0.4/2-1

m = -0.1/1

m = -0.1

Get the intercept.

0.4 = -0.1(1) + b

0.4  = -0.1  + b

b = 0.4 + 0.1

b = 0.5

Hence the required linear equation representing the distribution is

p(x) = -0.1x + 0.5

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The cost of cupcakes is $1.25 and cookies costs $0.90.

Two equations that would be used to determine the required values can be derived from this question:

20x + 40y = 61 equation 1

30x + 30y = 64.50 equation 2

In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.

60x + 120y = 183 equation 3

60x + 60y = 129 equation 4

Subtract equation 4 from 3

60y = 54

Divide both sides of the equation by 60

y = $0.90

Substitute for y in equation 1

20x + 40(0.9) = 61

20x + 36 = 61

20x = 61 - 36

20x = 25

x = 25 / 20

x = $1.25

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Answer:

3 6/7

Step-by-step explanation:

Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be 3 6/7.

Hopefully that's helpful! :)

[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]

ok done. thank to me :>

plz write your proper question