Math Answers

What is the number of subsets of a set with n elements, containing a given element (when element becomes fixed, part of every subset)?

A ball is thrown vertically upward with a speed of 7.1 m/s. Find:

(9 points)

a. Maximum height reached the ball

b. Its time of flight

c. Velocity the ball would return to its starting point

How many different samples of size 8 can be selected from a population with a size of 12 ?

Determine whether the set S is subspace of R5 defined by

S = f(x1; x2; x3; x4; x5) R5

: x1 = 3x2 and x3 = 7x4:

A. Find the length of the following confidence interval.

1. Upper limit = 0.995

Lower Limit = 0.437

2. Upper limit = 394.14

Lower Limit = 354.74

3. Upper limit = 0.02946

Lower Limit = 0.02244

4. 0.475 < p < 0.735

5. 0.355 < p < 0.570

A. Find the length of the confidence interval (s = standard deviation)

1. s = 3

n = 250

Confidence level = 95%

2. s = 6

n = 400

Confidence level = 99%

B. Determine the sample size, given the following data.

1. s = 5

E = 2.42

Confidence level = 95%

2. You want to estimate the mean gasoline price within your town to the margin of error of 6 centavos. Local newspaper reports the standard deviation for gas price in the area is 30 centavos. What sample size is needed to estimate the mean gas prices at 99% confidence level?

3. Carlos wants to replicate a study where the highest observed value is 14.8 while the lowest is 14.2. He wants to estimate the population mean µ to the margin of error of 0.025 of its true value. Using 95% confidence level, find the sample size n that he need.

A consumer advocacy group suspects that a local supermarket’s 500 grams of sugar actually weigh less than 50 grams. The group look a random sample of 20 such packages, weigh each one, and found the mean weight for the sample to be 496 grams with standard deviation of 8 grams. Using 1% significance level, would you conclude that the mean weight is less than 500 grams? Also, find the 99% confidence interval of the true mean.

It was found that 90% of cucumber seeds sown in the soil germinate. Determine the most likely

number of germinated grains if there are 70 grains in the package.

U={1,2,3,4,5,6,7,8,9,10}

A={2,3,4,5,8}

B={2,4,6,8,10}

C={1,3,5,7,9}

Instruction: Solve the given below using the sets above

1.( (C U A)-B)’ ∩ (B’ U A)

2.(((BUA)’ U (CUA)’) U ((A-B)’ ∩ (B-C)’))

Suppose you invest R10 000 at a simple interest rate of 12% per year. What would be the value of the accumulated amount after 6 years