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aleksandr82 [10.1K]
3 years ago
14

The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a

standard deviation of 2.7 inches. Part A: A male pilot whose height is 74.2 inches is at what percentile? Explain your reasoning and justify your work mathematically. (5 points)
Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Answer:

Step-by-step explanation:

Given that X -  the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.

Height of male pilot = 74.2 inches

We have to find the percentile

X = 74.2

Corresponding Z score = 74.2-72.6 = 1.6

P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%

i.e. only 5% are below him in height.

Thus the malepilot is in 5th percentile.

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Place is highest to lowest 3/4 84% 1/3 0.82
sesenic [268]

ANSWER

84%,0.82,¾,⅓

EXPLANATION

Convert everything to decimals.

\frac{3}{4}  = 0.75

84\% = 0.84

\frac{1}{3}  = 0.333....

The last one is already in decimals.

0.82

We can now see clearly, that

0.84  \: > \:  0.82 \:  >  \: 0.75  \: >  \: 0.3333...

This implies that,

84\% \: > \:  0.82 \:  >  \:  \frac{3}{4}   \: >  \:  \frac{1}{3}

Hence from highest to least, we have

84%,0.82,¾,⅓

4 0
3 years ago
johns test grades in his science class are 82, 93, 75, and 89 what is his average? 1. (87.45) 2. (80.00) 3. (90.40) 4. (89.25) 5
inessss [21]

First you add all the numbers together. So you add 82+93+75+89 to get 339. Once you get that, you divide it by the amount of numbers there are. In this case, it's 4. 339 divided by 4 is 84.75.

HOPE THIS HELPS!!

5 0
3 years ago
Read 2 more answers
Formula given in picture
yarga [219]
I think It's 0.9% I'm not sure though or 1.03%
4 0
3 years ago
HELP ME PLEASE (no links)
slega [8]

Answer:

y = 1.5x

Step-by-step explanation:

We are to find the equation of the straight line

Using the coordinate (0, 0) and (200, 300)

Slope m = 300-0/200-0

m = 300/200

m = 1.5

Since the line pass through the origin, the y intercept is 0

Substitute m = 1.5 and b =0 into y = mx+b

y = 1.5x + 0

y = 1.5x

This gives the required equation

6 0
2 years ago
On a quiz, tina scored 4 points more than julia and earned 2 points in extra credic. Enter an expression that represent tina's s
andre [41]

Julia’s score is <em>y</em> and Tina’s score is <em>y</em> + 6.

Step-by-step explanation:

Let us take Julia’s score be <em>y</em>.

First Tina scored 4 points more than Julia, so the expression is <em>y</em> + 4.

Then, Tina earned 2 points as extra credic, now the expression becomes

(y + 4) + 2 = y + 6.

Hence Julia’s score is <em>y </em>and Tina’s score is <em>y</em> + 6.

7 0
2 years ago
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