Math Answers

Find the dimensions of the right circular cone of least volume which can be

circumscribed about a right circular cylinder of radius 4 cm and height of 5 cm.

. The probability that a married man watches a certain television show is 0.4 and the probability that a

married woman watches the show is 0.5. The probability that a man watches the show, given that his

wife does is 0.7. Find the probability that

(a) a married couple watches the show;

(b) a wife watches the show given that her husband does;

(c) at least 1 person of a married couple will watch the show.

The manager of a restaurant in a large city claims that waiters working in all restaurants in his city earn an average of $150 or more in tips per week. A random sample of 25 waiters selected from restaurants of this city yielded a mean of $139 in tips per week with a standard deviation of $28. Assume that the weekly tips for all waiters in this city have a normal distribution.

For every function f(x) that is smoothly continuous on (a,b], the average rate of change of f(x) from x = a to x = b, approaches the instantaneous rate of change at x = a as x approaches a from the left.

Please explain this with a graph

 Among 157 African-American men, the mean systolic blood pressure was 146 mm Hg with a standard deviation of 27. We wish to know if on the basis of these data, we may conclude that the mean systolic blood pressure for a population of African-American is greater than 140. Use α=0.01. 

A blood pressure test was given to 450 women ages 20 to 36. It showed that their mean

systolic blood pressure was 119.4 mm Hg, with a standard deviation of 13.2 mm Hg.

a. Determine the z-score, to the nearest hundredth, for a woman who had a systolic blood

pressure reading of 110.5 mm Hg.

b. The z - score for one woman was 2.15. What was her systolic blood pressure reading?

A college professor is interested in finding the strength of a relationship between the final

exam grades of students enrolled in MMW and Calculus.

MMW, x 83 97 80 95 73 78 91 86

Calculus, y 78 95 83 97 78 72 90 80

a. Make a scatter plot

b. Compute the correlation coefficient

c. Find the equation of the regression line

A manager wishes to find out whether there is a relationship between the age of his

employees and the number of sick days they take each year. The data for the sample

follow.

Age, x 18 26 39 48 53 58

Days, y 16 12 9 5 6 2

a. Make a scatter plot

b. Compute the correlation coefficient

c. Find the equation of the regression line

A ball is dropped from a height of 126.8 meters. Its height above ground (in meters) t seconds later is given by: s(t)=−17t^2 +126.8

What is the instantaneous velocity of the ball when it strikes the ground?

Describe the sample space of Record the weights of 10-day-old rats