4. About 10% of people in the United States do not wear a seat belt. Suppose we take a random sample of 180 U. S. residents, and let X= the number of people who do not wear their seat belt.

(A) calculate the mean and standard deviation of the sampling distribution of X

(B) Justify that the distribution of X is approximately normal

(C)Use the normal distribution to calculate the probability that 26 or more individuals in the sample do not wear their seat belt

Geometry answer picture question pls . reason and statements

Write the sentence as an equation. z plus 372 is equal to 160

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.