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Ierofanga [76]
3 years ago
9

Using arc length formula find s when r=24 and θ=π/2 48π 24π 12π

Mathematics
2 answers:
bulgar [2K]3 years ago
6 0

Answer:

12π

Step-by-step explanation:

The formula for arc length is given as:

s = \frac{\theta}{360\degree} \times 2\pi r

Plug r = 24 and θ=π/2 in the above formula, we fi d:

s = \frac{\frac{\pi}{2}}{360\degree} \times 2\pi \times 24\\\\s = \frac{\frac{\pi}{2}}{2 \pi} \times 48\pi\\\\s = \frac{\pi}{2\times 2 \pi} \times 48\pi \\\\s = \frac{\pi}{4\pi} \times 48\pi \\\\\huge \purple {\boxed{s = 12\pi}} \\

Nutka1998 [239]3 years ago
5 0

Step-by-step explanation:

ghjkkknn. bjkkmn. bhcddfkkkk answer in image

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Number 13 please. I know the answer is 20 I just don’t know how to get there
Rudiy27

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Suppose the test scores for a college entrance exam are normally distributed with a mean of 450 and a s. d. of 100. a. What is t
svet-max [94.6K]

Answer:

a) 68.26% probability that a student scores between 350 and 550

b) A score of 638(or higher).

c) The 60th percentile of test scores is 475.3.

d) The middle 30% of the test scores is between 411.5 and 488.5.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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}

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In this problem, we have that:

\mu = 450, \sigma = 100

a. What is the probability that a student scores between 350 and 550?

This is the pvalue of Z when X = 550 subtracted by the pvalue of Z when X = 350. So

X = 550

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Z = \frac{550 - 450}{100}

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X = 350

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Z = \frac{350 - 450}{100}

Z = -1

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0.8413 - 0.1587 = 0.6826

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b. If the upper 3% scholarship, what score must a student receive to get a scholarship?

100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So it is X when Z = 1.88

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1.88 = \frac{X - 450}{100}

X - 450 = 1.88*100

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X when Z has a pvalue of 0.60. So it is X when Z = 0.253

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

0.253 = \frac{X - 450}{100}

X - 450 = 0.253*100

X = 475.3

The 60th percentile of test scores is 475.3.

d. Find the middle 30% of the test scores.

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cube

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