Math Answers

An immediate annuity has 40 initial quarterly payments of 20 followed by a perpetuity of quarterly payments of 30 starting in the eleventh year. Find the present value at 5% convertible quarterly.

You deposit 500 in an account today and an additional amount X in one year. The account pays 3.5% annually. What amount X is required to have 2000 in the account at the end of three years?

On a particular weekend, 100 customers made purchases at Green Thumb Garden supply store. Of these 100 customers 30 purchased tools, 45 purchased fertilizer, 50 purchased seed, 15 purchased seeds and fertilizer 20 purchased seeds and tools 15 purchased tools and fertilizer 10 purchased tools, seeds and fertilizer. Represent the above information on a Venn diagram. (ii) Determine how many customers purchased: a) only tools b) seeds and tools but not fertilizer, c) tools and fertilizer but not seeds, d) neither seeds, tools, nor fertilizer

Suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 6. The teacher wishes to give A's to the top 5% of the students and F's to the bottom 5%. The next 15% in either direction will be given B's and D's, with the other students receiving C's.

What is the cumulative distribution?

two sides of a triangle measure 15 cm and 21 cm. which of the following could be the measure of the third side?

about 10% of the human population is left handed. suppose that a researcher speculates that artists are more likely to be left handed than are other people in the general population. the researcher surveys 550 artists and finds that 66 of them are left handed.

define the parameter of the interest and give the null value.

consider this quote: " in a recent survey, 66 out of 100 consumers reported the they preferred plastic bags instead of paper bags for their groceries. if there is no difference in the proportions who prefer each type in the population, the chance of such extreme results in a sample of this size about .03. because .03 is less than .05, we can conclude that there is a statistically significant difference in preference. give a numerical value for each of the following.

a) the p-value
b) the level of significance
c) the sample proportion
d) the sample size
e) the null value

suppose a randomly selected sample of n = 70 men has a mean foot length of x = 27.1 cm, and the standard deviation of the sample is 2 cm. calculate an approximate 95% confidence interval for the mean foot length of men.

in the study, n = 45 men were put on a diet. the men who dieted lost an average of 7.0 kg, with a standard deviation of 3.7 kg.

a) compute the standard error of the mean for the men who dieted.

b) compute an approximate 95% confidence interval for the mean weight loss for the mean who dieted. an approximate 95% confidence interval is to kg.

suppose a randomly selected sample of n = 36 men has a mean foot length of x = 27.5 cm, and the standard deviation of the sample is 2 cm.

a) calculate the standard error of the sample mean.

b) over all possible samples of n = 36 from this population, the average difference between the sample mean and the population mean is about cm.