According to the Internal Revenue Service, the average income tax refund for the 2018 tax year was $2,780. Assume the refund the per person follows the normal probability distribution with a standard deviation of $950. What is the probability that a randomly selected tax return refund from the 2018 tax year will be more than $3,000
a) What is the probability that a randomly selected tac return will be
1) more than $2000?
2) between $1600 and $2500?
3) between $3200 and $4000?
b) Confirm the answers using an excel sheet.
c) What refund amount represents the 35th percentile of tax returns?

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

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).

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

52.5

step-by-step explanation: