Suppose that adult women in China have heights that are normally distributed with a mean = 155 centimeters and a standard deviation = 8 centimeters. Adult women in Japan have heights which are normally distributed with a mean = 158 cm and a standard deviation = 6 cm. Of the Chinese women, what percent are shorter than 163cm?

84.134%

Step-by-step explanation:

We solve this question using the z score formula.

The formula for calculating a z-score is z = (x-μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

We are were asked in the question that:

Suppose that adult women in China have heights that are normally distributed with a

mean = 155 centimeters

standard deviation = 8 centimeters. Of the Chinese women, what percent are shorter than 163cm?

Using the z score formula

z = (x-μ)/σ

z = (163 - 155)/8

z = 8/8

z = 1

Determining the Probability value from Z-Table:

P(x ≤ 163) = P(x < 163)

= 0.84134

Converting to percentage

= 0.84134 × 100%

= 84.134%

The percent of Chinese women that are shorter than 163cm is 84.134%

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: