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iragen [17]
3 years ago
7

In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio

n of 3 inches. What is the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth?
Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

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Answer:

Step-by-step explanation:

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a) The population of interest is the registered voters of the city of Raleigh.

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c) The sample was taken by making a telephone poll, calling 400 registered voters.

d) The sample size is n= 400 voters

The number of people that answered they'd vote for Brown are 151, so the sample proportion of voters that would vote for bron is:

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4 0
4 years ago
0.45 plus 9x equals 27
oee [108]

Answer:

x = 2.95

Step-by-step explanation:

<u>Step 1:  Convert words into an expression</u>

0.45 plus 9x equals 27

0.45 + 9x = 27

<u>Step 2:  Solve for x</u>

0.45 + 9x - 0.45 = 27 - 0.45

9x / 9 = 26.55 / 9

x = 2.95

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The base fare per ride on the MTA bus or subway is $2.75, but you get a 5% discount with a purchase. A weekly unlimited MetroCar
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"13" or "more than 13" rides will make the weekly unlimited pass more cost effective. A further solution is provided below.

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The Fare after discount will be:

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= 13

Learn more:

brainly.com/question/6439224

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Answer:

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Step-by-step explanation:

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