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Paladinen [302]
3 years ago
6

You buy a new yoga ball. The ball has a diameter of 26 inches. What is the volume of the ball? Use 3.14 for pi. Round your answe

r to the nearest hundredth.
Mathematics
2 answers:
amm18123 years ago
5 0

Answer:

The volume of the ball is 9,198.11\ in^{3}

Step-by-step explanation:

we know that

The volume of a sphere (yoga ball) is equal to

V=\frac{4}{3}\pi r^{3}

In this problem we have

r=26/2=13\ in -----> the radius is half the diameter

substitute

V=\frac{4}{3}(3.14)(13^{3})=9,198.11\ in^{3}


Mazyrski [523]3 years ago
3 0

Answer:

9,198.11 thats the answer i just did this and got it correct

hope it helped

Step-by-step explanation:


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If yo travel56mph how far will you go in2hr15min how long does it take to cover 168 miles
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3 years ago
Need help pls and thank you​
jenyasd209 [6]

Answer:

105 cm^3.

Step-by-step explanation:

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= 1/2 * 5 * 7 * 6

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3 years ago
A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came o
KengaRu [80]

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean \mu _{\hat p} = p = 0.39

The standard deviation;

\sigma = \sqrt{\dfrac{p(1-p)}{n} }

\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }

\sigma = 0.048

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0488}

Z = -1. 8 4

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -1.84)

\mathbf{P (\hat p \le 0.3 ) = 0.0329}

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean \mu_{\hat p} =  p = 0.39

the standard deviation \sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }

\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }

\sigma_{\hat p} =0.0244

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0244}

Z = -3.69

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -3.69)

\mathbf{P (\hat p \le 0.3 ) = 0.0001}

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

6 0
2 years ago
E = MV^2 ÷ 2 + mgh, Make V Subject of the formula​
Stels [109]

Answer:

\red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}

Step-by-step explanation:

E = MV^2 ÷ 2 + mgh \\  \\ E - mgh = MV^2 ÷ 2  \\  \\  2(E - mgh)= MV^2   \\  \\  \frac{2(E - mgh)}{M}=V^2  \\  \\  \sqrt{\frac{2(E - mgh)}{M}}  = V \\  \\ \red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}

4 0
3 years ago
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