. 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%

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

tip $2.90

total $17.40