A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 195 lb and a standard deviation of 44 lb . The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb . Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 lb , what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is \( \square \mathrm{lb} \). (Type an integer or a decimal. Do not round.)

Use the remainder theorem to find \( P(-3) \) for \( P(x)=-2 x^{4}-5 x^{3}+3 x+4 \). Specifically, give the quotient and the remainder for the associated division and the value of \( P(-3) \). Quotient \( =\square \) \( P(-3)=\square \)

Divide. \( \left.\qquad 8 x^{3}-18 x^{2}+7 x-2\right) \div(2 x-3) \) Your answer should give the quotient and the remainder. Quotient: Remainder: \( \square \)

Find the unit rate of each relationship. a. 600 miles in 10 hours 180 people in 6 classes 72 peopie in 9 groups \( 3 \frac{1}{3} \) cups of flour to \( \frac{2}{3} \) cup of sugay

Question 5 (1 point) What is the real part of the difference: \( (7+141)-(12+101) \) ? Your Answer: I.

[-/1 Points] DETAILS MY NOTES LARCALC9 3.5.024. 0/10 Sub Find the limit. (If you need to use \( \infty \) or \( -\infty \), enter INFINITY or -INFINITY, respectively. \( \lim _{x \rightarrow \infty} \frac{9 x^{3}+4}{45 x^{3}-2 x^{2}+1} \)