For this question the average height of adult women is 63.7” with a sigma of 2.9”.  The US Navy requires that fighter pilots have heights of between 62 and 78 inches.  Find the approximate percentage or women who qualify to be fighter pilots.  HINT:  Drawing a distribution curve may help.

72%

Step-by-step explanation:

For this question the average height of adult women is 63.7” with a σ of 2.9”.  The US Navy requires that fighter pilots have heights of between 62 and 78 inches.  Find the approximate percentage or women who qualify to be fighter pilots.  HINT:  Drawing a distribution curve may help.

Find the z-scores.

z = (x − μ) / σ

z₁ = (62 − 63.7) / 2.9

z₁ = -0.586

z₂ = (78 − 63.7) / 2.9

z₂ = 4.93

Use a chart or calculator to find the probability.

P(-0.586 < Z < 4.93) = P(Z < 4.93) − P(Z < -0.586)

P(-0.586 < Z < 4.93) = 1.000 − 0.279

P(-0.586 < Z < 4.93) = 0.721

Approximately 72% of women will qualify.

If the Navy changes its height requirement to include all but the shortest and tallest 3% of the female population, what would the new height requirements for women be? HINT:  Drawing a distribution curve may help. Also, rounding is suggested.

In this case, we work in reverse.  Use a chart or calculator to find the z-score for each probability.

P(Z < z₁) = 0.03

z₁ = -1.881

P(Z > z₂) = 0.03

P(Z < z₂) = 0.97

z₂ = 1.881

Now find the heights associated with those z-scores.

z = (x − μ) / σ

-1.881 = (x₁ − 63.7) / 2.9

x₁ = 58.2

1.881 = (x₂ − 63.7) / 2.9

x₂ = 69.2

The new height requirement is between 58.2" and 69.2".

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

step-by-step explanation:

if you want to separate 54 into 6 individual tiers then you need to divide if you want to separate 54 into 6 individual tiers then you need to divide 6 and 54.

if you divide 9 by 6 you will get 54.

- hope i .