Math Answers

Simplify

1. p∧(p∧q)

2. ~ (~p∨q)

3. ~ (p⇒~q)

Determine it rounding off 34,56 to the nearest one decimal place is a nonroutine or routine question

Evaluate the following integrals. (Show your solution)

"1) \\intop 2x\u221ax" "dx"

2) "\\intop" "2\/\u221ax\u00b3" "dx"

Suppose a school has 960 learners enrolled. The ratio of the number of boys to girls is 4:8. Find the difference between the number of boys and the number of girls enrolled at the school.

Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of treatment is 30 days with standard deviation equal to 8. A pharmaceutical company manufacturing a certain cream wishes to determine whether the cream shortens, extends, or has no effect on the recovery time. The company chooses a random sample of 100 individuals who have used the cream, and determines that the mean recovery time for these individuals was 28.5 days. Does the cream have any effect?

The mean scores of a random sample of 17 students who took a special test is 83.5. If the standard deviation of the scores is 4.1, and the sample comes from an approximately normal population, find the point and the interval estimates of the population mean adopting a confidence level of 95%. With explanation

. A poster must have 32 sq.in. of printed materials with margins of 4 inches each at the top and 2 inches at each side. Find the dimensions of the whole poster if its area is maximum.