. A survey found that women spend on average $146 on beauty products during the summer months. Assume the standard deviation is $28. Find the percentage of women who spend less than $160.00. Assume the variable is normally distributed.

69.2%

Step-by-step explanation:

Assuming that the amount that women spend on beauty products during the summer months is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = amount spent.

µ = mean

σ = standard deviation

From the information given,

µ = $146

σ = $28

The probability of women who spend less than $160.00 is expressed as

P(x < 41)

For x = 160

z = (160 - 146)/28= 0.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.6915

Therefore, the percentage of women who spend less than $160.00 is

0.6915 × 100 = 69.2%

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.