According to benford’s law the probability that the first digit of the amount of a randomly chosen invoice is a 1 or a 2 is 0.477. you examine 90 invoices from a vendor and find that 29 have first digits 1 or 2. if benford’s law holds, the count of 1s and 2s will have the binomial distribution with n = 90 and p = 0.477. too few 1s and 2s suggests fraud. what is the approximate probability of 29 or fewer if the invoices follow benford’s law? do you suspect that the invoice amounts are not genuine?

(a) 0.9855

(b) 0.0145

(c) 0.9984

(d) 0.0016

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

Louis wants to carpet the rectangular floor of his basement the basement has an area of 864 square feet the width of the basement is 2/3 its length what is the length of lewis's basement