A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 12%12% of scores B: Scores below the top 12%12% and above the bottom 63%63% C: Scores below the top 37%37% and above the bottom 22%22% D: Scores below the top 78%78% and above the bottom 7%7% F: Bottom 7%7% of scores Scores on the test are normally distributed with a mean of 7272 and a standard deviation of 8.18.1. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

You work for a lender that requires a 20% down payment and uses the standard depth to income ratio to determine a person‘s a little eligibility for a home loan of the following choose the person that you would rate the highest on their eligibility for a home loan

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size.it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Find the value of x. give reasons to justify your solutions! l, m ∈ kn