Math Answers

(x^3+y^3)=(3xy^2)dy/dx

Complete the table below.

Type of Test n df Confidence level a t-value

1. one-tailed 12 95%

2. one-tailed 15 95%

3. two-tailed 21 99%

4. two-tailed 23 95%

5. one-tailed 25 90%

6. two-tailed 16 90%

7. one-tailed 9 95%

8. two-tailed 27 99%

9. one-tailed 18 90%

10. two-tailed 20 99%

Use the Laplace transform to solve the given initial-value problem.

y′ + 2y = sin 4t, y(0) = 1

Suppose that the average number of cars abandoned weekly on a certain highway is2.2.

Approximate the probability that there will be:

(a) no abandoned cars in the next week;

(b) at least 2 abandoned cars in the next week. . . " .....

(c) State the key assumptions needed to' make your answers in a) and b) reasonable

Fundamental Principle of counting

You want to put your wattpad in bookshelf. In how many ways can the 7 wattpad be arrange in the shelf?

manager of a courier service believes that packets delivered at the end of the month are heavier than those delivered early in the month. As an experiment, he weighed a random sample of 20 packets at the beginning of the month. He found that the mean weight was 5.25 kgs with a standard deviation of 1.20 kgs. Ten packets randomly selected at the end of the month had a mean weight of 4.96 kgs and a standard deviation of 1.15 kgs. At the 0.05 significance level, can it be concluded that the packets delivered at the end of the month weigh more?

In the daily production of a certain kind of rope, the number of defects per foot

Y is assumed to have a Poisson distribution with mean A = 2. The profit per foot

when the rope is sold is given by X, where X = 50 - 2Y - y2. Find the expected

profit per foot

Assume that the daily S&P return follows the normal distribution with mean μ = 0.00032 and standard deviation a= 0.00859.

a. Find the 75th percentile of this distribution.

b. Find the probability that the daily S & P return will be larger than 0 01

C. Consider the sample average S & P of a random sample of 20 days.

27:2 i. Describe the distribution of the sample mean with its expected value and standard error.

ii. What sample size is necessary to double the standard error of the mean?

iii. Is it more likely that the average S & P will be greater than 0 007, or that one day's S & P return will be?

iv. Find the number b such that P(x > b) = 0975

A new car is purchased for 24500 dollars. The value of the car depreciates at 14.75% per year. What will the value of the car be, to the nearest cent, after 14 years?

Determine whether each of the following functions from Z to Z is one to one and onto.

a.f(n)=n-1

b.f(n)=[n/2]

C.f(n)=n²+1