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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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The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a,
Inga [223]

Answer:

a=f-v/t

Step-by-step explanation:

f-v=at

or,a=f-v/t

6 0
2 years ago
The probability of drawing jacks from a deck of cards in ten different trials where cards are replaced after each trial
Gelneren [198K]
Sample space={52 cards} = All possible outcomes
Favorable event {4 Jacks}
Important info: CARD is replaced after each trial

P(drawing Jack) = 4/52 = 1/13 = 0.0769 
It will always be 0.0769 whatever the number of trials

4 0
3 years ago
A model for the surface area of a human body is given by S = 0.1091w0.425h0.725, where w is the weight (in pounds), h is the hei
saveliy_v [14]

Answer:

2.3%

Step-by-step explanation:

Surface area of a human body is given by -

S = 0.1901* w^{0.425}* h^{0.725}\\

Taking integral on both sides, we get -

In S = 0.425 ln w + 0.725 ln h + ln 0.1091\\\frac{dS}{S} = 0.425\frac{dw}{w} + 0.725\frac{dh}{h}\\

Since, the at most error in the surface area of a human body is 2%

Substituting this in above equation, we get -

\frac{dS}{S} \leq [0.425*0.02 + 0.725*0.02]\\\frac{dS}{S} \leq0.023\\

Thus, the maximum error is surface area is equal to

0.023 * 100\\= 2.3%

6 0
3 years ago
The coordinates of quadrilateral ABCD plotted on a coordinate plane are A(0, 3), B(3,-1).
Vikki [24]

Answer:

24.56  (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

P = 5*2 + 7.28*2 = 24.56

3 0
3 years ago
Match the phenomenal expression on the left with the simplified version on the right
nalin [4]

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2

We get,

\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2(y+5)^2=y^2+10y+25

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

(a+b)(a-b)=a^2-b^2

We get,

\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2(y-5)(y+5)=y^2-25^{}

8 0
1 year ago
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