1. Meredith has 10 reports to file. If each report takes an average of 75 minutes to file, how long will it take her to file 70% of them?

70% of the reports will take 525 minutes (8 hours, 45 minutes) to file.

Step-by-step explanation:

Given;

total number of Meredith's report, N = 10

average time taken for each report to be filed is, t = 75 minutes per report

let the total time for the 10 reports = T

The total time for the 10 reports is 750 minutes.

Time taken to file 70 % of 10 reports = (0.7 x 10) x (75 mins)

                                                             = 0.7 x 750

                                                             = 525 minutes (8 hours, 45 minutes)

Therefore, 70% of the reports will take 525 minutes (8 hours, 45 minutes) to file.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0