Math Answers

A person who wants to get a driving license, has to face two separate tests. Road test is the one of these two tests and there is a 0.75 probability that an application for a drivers’ license will pass the road test on any given try. (i) What is the probability that an applicant will pass the road test on any given try? (ii) What is the probability that an applicant will pass the test on the fourth try?

The heights of male college students are normally distributed with

mean of 68 inches and standard deviation of 3 inches. If 80 samples consisting of 25 students each are drawn from the population, what would be the expected mean and standard deviation of the resulting sampling distribution of the means?

Find the domain and range of this functions

a) The function that assigns to each pair of positive integer the maximum of these two integers

b) The function that assigns to each positive integer the number of the digits 0,1,2,3,4,5,6,7,8,9 that do not appear as decimal digits of the integer.

SHOW COMPLETE SOLUTION

A closed cylindrical tank has a capacity of 50.265 m^3.

A. determine the radius of the cylindrical tank that requires minimum amount of material used.

B. compute the height of the tank.

C. if the galon of paint covers an area of 28 m^2, compute the number of gallons needed to paint the tank using two coats of paint.

The best time to plant trees was 20 years ago. the second time is now.

data from the lumber industry shows that the older the tree(a) the greater the number of board feet(n) that can be created from the tree. for a tree that is 160 years old, 18200board feet can be used.

A. write an equation in slope-intercept form to represent the situatoon.

B. what does the independent variable represent?

C. what does the dependent variable represent?

D. if 6825 board feet was used from a tree how old was the tree.

Construct a relation on the set {a, b, c, d} that is a. reflexive, symmetric, but not transitive

show that

a) lim x- infinity (x-3/x-1)^x =1/e^2

b) lim x->5/3 1/(3x+5)^2 =infinity

Examine the function ,f(x)=(x+1)^3(x-3)^2 for extreme values

prove that lim n->infinity [1/√2n-1 +1/√4n-2^2 +1/√6n-3^2 +.......+1/n]=π/2

f(x)= -x^2/(4x+4)

find the first and second derivative, x and y intercept, vertical and horizontal asymptote, x coordinates of the critical points, relative minima and maxima, open intervals where the function is concave up and concave down, when it is increasing and decreasing.

Also sketch the graph of this function