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AnnyKZ [126]
3 years ago
11

A:Write (⅔)² in expanded form, B. And then evaluate.

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

4/9

Step-by-step explanation:

(2/3)^2

(2/3) x (2/3)

2 x 2 is 4

3 x 3 is 9

4/9

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We have to use pythagorean theorem. The equation is a^{2} + b^{2} = c^{2} so we plug in the numbers (hypothenuse is always C in the equation) a^{2} + 8^{2} =10^{2} now we solve:

a^{2} +64=100 Exponents 

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5 0
3 years ago
In a random sample of 200 Americans, 51% said they favor building more nuclear power plants. In a random sample of 150 French, 4
Varvara68 [4.7K]

Answer:

Yes, there is enough evidence to say the proportions are the same.

Step-by-step explanation:

Null hypothesis: The proportions are the same.

Alternate hypothesis: The proportions are not the same.

Data given:

p1 = 51% = 0.51

n1 = 200

p2 = 48% = 0.48

n2 = 150

pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497

Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556

The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645

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Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.

8 0
3 years ago
Juan and his little brother Miquel ran around a circular track together. Juan ran on the inner track, which has a radius of 30 f
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Answer:

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5 0
3 years ago
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Find the distance if A(2,3) B(4,5)​
Ainat [17]

Hii!

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

\leadsto\mid\boldsymbol{-Answer-}\mid\gets

Distance =

\leadsto\mid\boldsymbol{-Explanation-}\mid\gets

Use the distance formula, which is.

\sf d=\sqrt{(x2-x1)^2+(y2-y1)^2}

Plug in the values.

\sf d=\sqrt{(4-2)^2 +(5-3)^2

Simplify.

\sf d=\sqrt{2^2+2^2}

Simplify.

\sf d=\sqrt{8}.

Decimal Form. 2.828427...

Great job!

--

Hope that this helped! Best wishes.

\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}

--

6 0
2 years ago
Read 2 more answers
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