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4 years ago

A circle has a diameter of 5 inches. A square has a side length of 5 inches. What is true about the areas of the two figures?

2 answers:

7 0

-- They are unequal

-- The area of the circle is (pi) (radius²) = 19.63 inches² .

-- The area of the square is (side length)² = 25 inches² .

-- The area of the square is 27.3% greater than the area of the circle.

sleet_krkn [62]4 years ago

6 0

The area of the circle is less than the area of the square.

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Kristina lives 24.5 miles from the nearest mall Betn lives 2 1/2 times the distance from the mal then Kristina does. How mory mi

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Answer:

61.25

Step-by-step explanation:

2 1/2 is 2.5 in decimal.

24.5*2.5

Multiplying 24.5 by 2.5 gives 61.25

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3 years ago

A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta

nikklg [1K]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

1,190 adults were asked, hence $n = 1190$

In fact 62% of all adults favor balancing the budget over cutting taxes, hence $p = 0.62$ .

The mean and the standard error are given by:

$\mu = p = 0.62$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141$

The probability of a sample proportion of 0.59 or less is the p-value of Z when X = 0.59, hence:

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.59 - 0.62}{0.0141}$

$Z = -2.13$

$Z = -2.13$ has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the normal distribution and the central limit theorem at brainly.com/question/24663213

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2 years ago

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