At Mnemosyne Middle School, there are 700 students: all the students are boys or girls in the \( 4^{\text {th }} \) or \( 5^{\text {th }} \) grade. There are 320 students in the \( 4^{\text {th }} \) grade, and there are 210 girls in the \( 5^{\text {th }} \) grade. Fifty percent of the \( 5^{\text {th }} \) graders and \( 40 \% \) of the \( 4^{\text {th }} \) graders take Mandarin Chinese. Ninety \( 5^{\text {th }} \) grade boys do not take Mandarin Chinese. The number of \( 4^{\text {th }} \) grade girls taking Mandarin Chinese is less than half of the number of \( 5^{\text {th }} \) grade girls taking Mandarin Chinese. Which of the following could be the number of \( 4^{\text {th }} \) grade boys in Mandarin Chinese? (A) 10 (B) 40 (C) 70 (D) 100 (E) 130

\( \frac{2}{4-x}+\frac{5}{x-4} \) simplifies to ?

Find the probability. Find the probability that when a 10 question multiple choice test has 4 possible answers for each question, a student will select at least 6 correct answers from the 10 possible.

The survival rate for a patient during a risky operation is \( 80 \% \). What is the probability that exactly 4 of the next 5 patients survive this operation.

\( \int _ { 0 } ^ { 59.5 } \sqrt { 0.0196 x ^ { 2 } - 2.3808 x + 73.5904 } d x \)

Determine the location and value of the absolute extreme values of \( f \) on the given interval, if they exist. \( f(x)=20 x^{\frac{1}{2}}-x \) on \( [0,400] \) What is/are the absolute maximum/maxima of \( f \) on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum/maxima is/are \( \square \) at \( x=\square \). (Use a comma to separate answers as needed.) B. There is no absolute maxhtrum of \( f \) on the given interval.