Use the normal distribution of sat critical reading scores for which the mean is 504 and the standard deviation is 112. assume the variable x is normally distributed.
left parenthesis a right parenthesis
(a) what percent of the sat verbal scores are less than 675?
(b) if 1000 sat verbal scores are randomly selected, about how many would you expect to be greater than 525?
approximately
% of the sat verbal scores are less than 675.
(round to two decimal places as needed.)

a. Transform , the random variable representing SAT scores, to , the same random variable but following the standard normal distribution, via

so that about 93.77% of scores fall below 675.

b. Use the same strategy to compute :

Then out of 1000 scores, you would expect about 574 of them to exceed 525.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.