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pentagon [3]
3 years ago
10

There is a claim from the 1960s that 35% of women had college educations in the 60s. To prove it had increased in the 70s, we ra

ndomly pulled education records of 395 women and found that 161 had college educations. Running a hypothesis test, we found a p-value of 0.0088. The interpretation of the p-value is___.
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer: The National Center for Education Statistics (NCES) collects, analyzes and makes available data related to education in the U.S. and other nations. Hope this helped

Step-by-step explanation: how are you?

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Delvig [45]

-2.54

Step-by-step explanation:

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Solve for x.<br> х<br> G<br> 9<br> 3
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Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
What point is the center of dilation
igor_vitrenko [27]

Answer:

The answer is C/Point E

Step-by-step explanation:

I did the test.

4 0
3 years ago
Read 2 more answers
15 x sin(30)=?/15 x 15
Delicious77 [7]

Answer:

The exact value of

sin

(

30

)

sin(30) is

1

2

12.

15

⋅

1

2

15⋅12

Combine

15

15 and

1

2

12.

15

2

152

The result can be shown in multiple forms.

Exact Form:

15

2

152

Decimal Form:

7.5

7.5

Mixed Number Form:

7

1

2

712

Step-by-step explanation:

8 0
3 years ago
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