The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. What percentage of men are SHORTER than 73 inches? Round to nearest tenth of a percent.

a) z_man = 2.18

b) 98.5% of men are shorter

c) z_woman = 2.60

e) a 5 ft 11" American woman is relatively taller than a 6 ft 3" American man because the percentage of women shorter than her is 99.5% while the percentage of men shorter than him is 98.5%.

Step-by-step explanation:

Use: z-score = (x - μ)/σ

Convert the height to inches: x_man = 6 ft 3 in. = 6(12) + 3 = 75 in.

z_man = (75 - 69.2)/2.66 = 2.18  -->  from a z-table --> .9854(100) = 98.54%

Convert the height to inches: x_woman = 5 ft 11 in. = 5(12) + 11 = 71 in.

z_woman = (71 - 64.3)/2.58 = 2.60 --> from a z-table --> .9953(100) = 99.53%

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph