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IgorC [24]
2 years ago
8

A circular pizza that is 18 inches in diameter is cut into 8 equal slices. What is the area of a single slice?

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

Answer:

31.8 in^2

Step-by-step explanation:

The area of a circle is pi×radius^2.

r=.5d=18/2=9

A=(3.14159)(9^2)=(3.14159)(81)=254.5

And if each peice is of equal area, the area of one peice will equal:

254.5/8=31.8

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A rectangle has the area of 60 inch2. What can be its dimensions? Copy and fill in the chart.
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Answer:

2*30       10*6       1*60   20*3

Step-by-step explanation:

Find 2 numbers that multiplied have a result of 60

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7. Find the slope of the following equation. Simplify your answer.
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Answer:

d

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Rewrite in slope intercept form (move 5x to the right, divide both sides by 2, and reorder the terms)

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Suppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of
zhannawk [14.2K]

Answer:

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

The candy company claims that the percentage of blue candies is equal to 29%.

This means that the null hypothesis is:

H_{0}: p = 0.29

We want to test the hypothesis that this is true, so the alternate hypothesis is:

H_{a}: p \neq 0.29

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.29 is tested at the null hypothesis:

This means that \mu = 0.29, \sigma = \sqrt{0.29*0.71}

Suppose that in a random selection of 100 colored candies, 21% of them are blue.

This means that n = 100, X = 0.21

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.21 - 0.29}{\frac{\sqrt{0.29*0.71}}{\sqrt{100}}}

z = -1.76

Pvalue of the test:

The pvalue of the test is the probability of the sample proportion differing at least 0.21 - 0.29 = 0.08 from the population proportion, which is 2 multiplied by the pvalue of Z = -1.76.

Looking at the z-table, z = -1.76 has a pvalue of 0.0392

2*0.0392 = 0.0784

The pvalue of the test is 0.0784 > 0.01, which means that at this significance level, we do not reject the null hypothesis that the percentage of blue candies is equal to 29%.

5 0
3 years ago
A right circular cylinder is inscribed in a sphere of radius r. Find the dimensions of such a cylinder with the largest possible
Burka [1]

Answer:

Largest volume in terms of r =  4r^3π/ 3√3 or you could write it as  4√3r^3π/9.

Step-by-step explanation:

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The probability that an event will occur is 15%. Which of these best describes the likelihood of the event occurring? (5 points)
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Unlikely because certain would be 100% which is wrong
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