Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

84%

Step-by-step explanation:

The Empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 8.06

Standard deviation = 1.52

Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Using the first rule if Empirical formula

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

μ + σ

= 8.06 + 1.52 = 9.58

This satisfies one side of the distribution, hence:

100 - 68%

= 32%

P(x >9.58) = 32%/2 = 16%

Hence,the percentage of American women have shoe sizes that are less than 9.58 is

P(x < 9.58) = 100 - 16%

= 84 %

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

answer: check all that apply, where the options?

step-by-step explanation: