Whats the answer according to the image ?

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,

SSSSS [86.1K]

Answer:

Step-by-step explanation:

a) H0: $\bar x = 24.57$

Ha: $\bar x \neq 24.57$

(Two tailed test at 5% significance level)

b) n=30

Mean difference = $23.89-24.57 = - 0.68$

Std error of mean = $\frac{s}{\sqrt{n} } \\=\frac{2.40}{\sqrt{30} } \\=0.4382$

b) Test statistic t = mean diff/std error = -1.552

df = 30-1 =29

p value=0.0657

c) Since p > 0.05 our signi. level, we accept null hypothesis.

There is no significant difference between the means.

d) Using critical value we find that test statistic is > critical value left

So accept H0

8 0

3 years ago

7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the gard

galben [10]

Answer: $15r^2-21r+5$

Step-by-step explanation:

Given: Perimeter of triangular garden = $25r^2 - 9r + 14$

The sum of two sides of the garden = $10r^2 + 12r + 9$

Perimeter is the sum of all sides of a triangle.

Third side = Perimeter of triangular garden - sum of two sides of the garden

$=25r ^ 2 - 9r + 14-(10r ^ 2 + 12r + 9)\\\\=25r ^ 2 - 9r + 14-10r ^ 2 - 12r - 9\\\\=15r^2-21r+5$

The expression represent the third side = $15r^2-21r+5$ .

5 0

3 years ago

What is the solution of <br> x/2=6

Lina20 [59]

Answer:

12

Step-by-step explanation:

12/2=6

replace x with 12

4 0

2 years ago

Read 2 more answers

The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3

Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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Step-by-step explanation:

7 0

3 years ago

In parallelogram RSTU, what is SU?

serious [3.7K]

Because S and U are the opposite vertices of the <span>parallelogram RSTU,
so SU is a diagonal of this </span>parallelogram.

5 0

3 years ago