Math Answers

Fit the parabola is Y=a X^2+bX+c for the data x: 1, 3, 4 , 6 ,8 ,9, 11, 14 and y: 1,2, 4, 4, 5, 7, 8, 9.

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 97 people in the 18-21 age bracket and finds that 82 of them respond and 15 refuse to respond. When 260 people in the 22-29 age bracket are contacted, 240 respond and 20 refuse to respond. Assume that 1 of the 357 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who refused to respond.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.

P(22-29 or refused) =

Determine the truth value of each of the statement below if the domain consists of all real numbers.

∀x(2x > x)

new york city typically has rain on about 16% of days in October what is the probability that it will rain on exactly 5 days in October and 15 days?

On a roulette wheel, the probability of "red" is 18/38, In 10 spins what is the probability of exactly 8 red outcomes?

1.A fitness center claims that its members lose an average of 12 pounds or more the first month after joining the center. An independent agency that wanted to check this claim took a sample of 45 members and found that they lost an average of 10 pounds within the first month with standard deviation of 3 pounds. Find the p-value for this test. What will your decision be if 𝛼 = 0.05?

Carl has completed 8 math homework assignments that are all worth 20 points, and his mean score is 17. Carlos has two more 20-point homework assignments to complete before his progress report gets sent out, and he wants to raise his mean score to an 18. Is it possible for Carlos to raise his mean score to an 18? If it is possible, explain what scores he would need to get, and if not, explain why not.

Suppose that the probability that a corn seed from a certain batch does not germinate equals 0.02. If we plant 200 of these seeds, what is the probability that

• A) At most 5 seeds will not germinate?

• B) Exactly 3 will not germinate?

• C) At least 3 will not germinate?

An oil company conducts a geological study that indicates that an exploratory oil well should have a 20% chance of striking oil.

• A) What is the probability that the first strike comes on the third well

drilled?

• B) What is the probability that the third strike comes on the seventh

well drilled?

A box of bulbs is inspected. The inspector draws a bulb randomly and independently, and tests it until he finds 10 defective bulbs. Suppose 5% of all bulbs are defective. Let X be the number of bulbs tested in order to find 10 defective bulbs.

• A) What is the distribution of X?

• B) What is the expected number of bulbs that must be tested in order to get 10 defective bulbs?

• C) What is the variance of X?

• D) What is the probability that 15 bulbs will be tested in order to find

10 defective bulbs?