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2 years ago

PLEASE HELP NOW!!

Mathematics

1 answer:

kolezko [41]2 years ago

6 0

Answer:

Formula for arc length =

arc length = r θ where θ is in radians

So we have

2pi = 5 θ solve for θ and we have that

θ = [ 2 pi ] / 5

The area of the sector =

(1/2) r^2 θ = (1/2)(5^2) (2pi) / 5 = 5 pi in^2 ≈ 15.7 in ^2

The rectangular shape has more area = (5 * 4) = 20 in ^2

Step-by-step explanation:

I don't think this will help but hope it does

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You rent an apartment that costs $900 per month during the first year, but the rent is set to go up $170 per year. What would be

vichka [17]

The monthly rent of the apartment in the 10th year is $1041.67.

<h3>What is the monthly rent during the 10th year of living in the apartment?</h3>

The first step is to determine the yearly rent in the first year of living in the apartment.

Yearly rent = $900 x 12 = $10,800

The second step is to determine the yearly rent in the 10th year

$10,800 + (170 x 10) = $12,500

The third step is to determine the monthly rent

Monthly rent = $12500 / 12 = $1041.67

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3 years ago

The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches

Brilliant_brown [7]

Answer:

a) 1.93

b) 97.32% of men are SHORTER than 6 feet 3 inches

c) 2.71

d) 0.34% of women are TALLER than 5 feet 11 inches

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

For man, $\mu = 69.8, \sigma = 2.69$

A feet has 12 inches, so this is Z when X = 6*12 + 3 = 75. So

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

$Z = \frac{75 - 69.8}{2.69}$

$Z = 1.93$

b. What percentage of men are SHORTER than 6 feet 3 inches?

Z = 1.93 has a pvalue of 0.9732

97.32% of men are SHORTER than 6 feet 3 inches

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

For woman, $\mu = 64.1, \sigma = 2.55$

Here we have X = 5*12 + 11 = 71.

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

$Z = \frac{71 - 64.1}{2.55}$

$Z = 2.71$

d. What percentage of women are TALLER than 5 feet 11 inches?

Z = 2.71 has a pvalue of 0.9966

1 - 0.9966 = 0.0034

0.34% of women are TALLER than 5 feet 11 inches

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4 years ago

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ryzh [129]

Answer:

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Step-by-step explanation:

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3 years ago

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