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katen-ka-za [31]
2 years ago
11

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22. A r

esearcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.What is the null hypothesis in this case
Mathematics
1 answer:
MaRussiya [10]2 years ago
5 0

Answer:

The null hypothesis is H_0: p = 0.22

Step-by-step explanation:

According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22

This means that at the null hypothesis, it is tested if the proportion is in fact 0.22, that is:

H_0: p = 0.22

A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.

At the alternative hypothesis, it is tested if the proportion is lower than 0.22, that is:

H_1: p < 0.22

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Anvisha [2.4K]

Answer:

Step-by-step explanation:

We'll take this step by step.  The equation is

8-3\sqrt[5]{x^3}=-7

Looks like a hard mess to solve but it's actually quite simple, just do one thing at a time.  First thing is to subtract 8 from both sides:

-3\sqrt[5]{x^3}=-15

The goal is to isolate the term with the x in it, so that means that the -3 has to go.  Divide it away on both sides:

\sqrt[5]{x^3}=5

Let's rewrite that radical into exponential form:

x^{\frac{3}{5}}=5

If we are going to solve for x, we need to multiply both sides by the reciprocal of the power:

(x^{\frac{3}{5}})^{\frac{5}{3}}=5^{\frac{5}{3}}

On the left, multiplying the rational exponent by its reciprocal gets rid of the power completely.  On the right, let's rewrite that back in radical form to solve it easier:

x=\sqrt[3]{5^5}

Let's group that radicad into groups of 3's now to make the simplifying easier:

x=\sqrt[3]{5^3*5^2} because the cubed root of 5 cubed is just 5, so we can pull it out, leaving us with:

x=5\sqrt[3]{5^2} which is the same as:

x=5\sqrt[3]{25}

8 0
2 years ago
2. An aquarium has display tanks that each
Sindrei [870]

Answer:

1050

Step-by-step explanation:

175*6=1050

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3 years ago
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Vsevolod [243]
The literal equation for x = s=2r+3x
There no changes to the answer
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2 years ago
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Given: PSTK is a trapezoid, m∠P=90° SK =13, PK = 12, ST=8 Find: The area of PSTK.
guajiro [1.7K]
<h3>Given</h3>

trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8

<h3>Find</h3>

the area of PSTK

<h3>Solution</h3>

It helps to draw a diagram.

∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as

... KS² = PS² + KP²

... 13² = PS² + 12²

... PS = √(169 -144) = 5

This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is

... A = (1/2)(b1 +b2)h

... A = (1/2)(12 +8)·5

... A = 50

The area of trapezoid PSTK is 50 square units.

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