The gre is an entrance exam that most students are required to take upon entering graduate school. in 2014, the combined scores for the verbal and quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12. what percent of scores were between 286 and 322? round your answer to the nearest whole number.

Step-by-step explanation:

Given: Mean

Standard deviation

The formula for z score :

For x= 286

P value of (z=-2 )=0.0228

For x= 322

P value of (z=1)= 0.8413

Now, the probability of students score between 286 and 322 is given by :-

i cant see the graph

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).