Suppose that shoe sizes of american women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5 . using the empirical rule, what percentage of american women have shoe sizes that are no more than 11.47 ? do not round your answer.

Solution: We are given that the shoe sizes of American women have a normal distribution, with mean, standard deviation

We have to find the percentage of American women whose shoe size's are not more than 11.47 P(x<11.47).

We need to first find the z-score.

Now we have to find . Using the empirical rule, we know that 97.5% data lies below 2 standard deviations above mean.

Therefore, using the empirical rule, 97.5% of American women have shoe sizes that are no more than 11.47.

5 pm

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).