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3 years ago

10

Winton drew a scale drawing of a summer camp. The scale he used was 1 millimeter : 3 meters. In the drawing, the sand volleyball

court is 3 millimeters wide. What is the width of the actual volleyball court?

1 answer:

netineya [11]3 years ago

8 0

Idek...............................

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I rlly need help with this :(

kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 72.6, \sigma = 2.7$ .

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

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

$Z = \frac{74.2 - 72.6}{2.7}$

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

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

$Z = \frac{78 - 72.6}{2.7}$

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

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

$Z = \frac{70 - 72.6}{2.7}$

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

2 years ago

Find the smallest number of 4 digit which when divided by 40,50,and60 leaves remainder of 5 in each case

miv72 [106K]

Remark

First of all, you should notice that the number you want must end in 5 to get a remainder of 5. That's because your divisors all end in 0.

Step One

Factor the 3 divisors

40: 2 * 2 * 2 * 5

50: 2 * 5 * 5

60: 2 * 2 * 3 * 5

Step Two

Using these factors, find the LCM

There are 3 twos, 1 Three, and 2 fives.

The LCM is 8*3*25 = 600

Step Three

Find the first number over 1000 that is divisible by 600. That should be 1200 which is 600 * 2

So the answer to your question is 1205

6 0

3 years ago

Hal Fritz purchased a $5,000 bond at 95. The annual interest is 6%.

Trava [24]

Hi there :-)

Bond Cost = Face Value × Percent
5,000×0.95=4,750

Annual Interest=Face Value×Interest Rate
5,000×0.06=300

Annual Yield=Annual Interest×Bond Cost
(300÷4,750)×100=6.32%

Hope it helps

4 0

4 years ago

You and your family went to Texas Roadhouse for dinner. Your check was $89.25. If you left the waitstaff 20%, how much was your

Anastaziya [24]

Answer:

the answer is 107.4

More info

20 percent off

You will pay $71.4 for a item with original price of $89.25 when discounted 20%. In this example, if you buy an item at $89.25 with 20% discount, you will pay 89.25 - 17.85 = 71.4 dollars.

brainliest pls

Step-by-step explanation:

6 0

3 years ago

A farmer's cat ran up a tree,

tigry1 [53]

He would never reach the top because anyhow he came down seven everyday if he didn’t drop.

5 0

3 years ago