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2 years ago

Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.

2 answers:

8 0

The circumference of every circle is (pi) times (diameter).

The diameter is (2 x radius), so we can write

Circumference = (pi) x (2 x radius) .

The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:

(31.4 cm) = (3.14) x (2 x radius)

Divide each side by 3.14: (31.4 cm)/(3.14) = 2 x radius

Divide each side by 2 : (31.4 cm) / (2 x 3.14) = radius

5 cm = radius

Bond [772]2 years ago

6 0

5 cm = radius is the answer

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In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.

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Using the Central Limit Theorem, it is found that:

The mean is 0.23.

The standard deviation is $s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$ .

<h3>Central Limit Theorem</h3>

It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean $p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$

When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}$

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}$

Hence, for the distribution of differences:

$p = p_1 - p_2 = 0.95 - 0.72 = 0.23$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

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2 years ago

Eduardo rides his bicycle for 6 hours. What was Eduardo's average speed if he rides a distance of 84 miles? Use the formula d =

german

D = r x t
replace the d with 84 and replace the t with 6 hours
divide 84 by 6 = 84/6
get the quotient 14
84 = 14 x 6

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3 years ago