Math Answers

Suppose there are three different types of cakes that are sold at Tina’s Bakery. There are 4 cheesecakes, 5 vanilla sponge cakes and 2 black forest cakes. Tom takes at random 2 of these cakes without replacement. What is the probability that he takes 2 different types of cakes upon his selection?

The claim is made that Internet shoppers spend on the average $335 per year. It is desired to test that this figure is not correct at a = 0.075. Three hundred Internet shoppers are surveyed and it is found that the sample mean = $354 and the standard deviation = $125. Find the value of the test statistic and give your conclusion. Note: critical value is +1.7805 and -1.7805.

a balloon is 50m high its angle of elevation from observer A is 45 and from observer B it is 30 what is the distance between observer b and observer a from the baloon

A population consists of the numbers 5, 20, 9, 4, and 2 with sample size of 3

1. Find the t-value that the area in the right tail is 0.10 with 25 degrees of freedom.

2. Find the t-value that the area in the right tail is 0.05 with 30 degrees of freedom.

3. What is the area of the region to the left of t=1.055 with n=30?

4. What is the area of the region to the right of t = 0.687 with df =20?

The region in the first quadrant, which is bounded by the curve

x² = 4y, the line x = 4, is revolved about the line x = 4. Locate the

centroid of the resulting solid of revolution.

The region in the first quadrant which is bounded by the curve y² =

4x, and the lines x = 4 and y = 0, is revolved about the x-axis.

Locate the centroid of the resulting solid of revolution.

Given the area in the first quadrant bounded by y^2 = x, the line x =

4 and the x-axis. What is the volume generated when this area is

revolved about the y-axis?

The loop of the curve has an equation of y² = x (1 - x)^2. Find the

area enclosed by the loop of the curve.

The curve has an equation y = e^x. Compute the area bounded by the

curve from x = 0 to x = 1.