A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

6 0

3 years ago

Two standard dice are rolled and their face values multiplied. What is the probability that the product is prime or ends in a 5?

icang [17]

Answer:

6/21

Step-by-step explanation:

1. First, check all the possible combinations for a pair of dice:

1-1

1-2 2-2

1-3 2-3 3-3

1-4 2-4 3-4 4-4

1-5 2-5 3-5 4-5 5-5

1-6 2-6 3-6 4-6 5-6 6-6

(Those are the numbers of the dice, separated by hyphons.)

2. Next, find out the products, since that is the info we need to go off of.

2 4

3 6 9

4 8 12 16

5 10 15 20 25

6 12 18 24 30 36

(those are all the products based on the same chart we saw above.)

3. Now, let's calculate the probability.

Find the amount of prime numbers. (1, 2, 3, 5) Looks like there are four total.
Find the amount of numbers that end in a five. (15, 25) There are two. I've skipped 5 because that is already on the list.
Find the total amount of numbers. There are 21 in our case.

4. There are 6 numbers that will satisfy our needs. (prime or ending in 5)

There are 21 total.

6/21

If you need decimal form, there is a

0.2857 chance.

Hope this helped.

8 0

4 years ago

Read 2 more answers

What is the domain of the graphed function

bogdanovich [222]

ANSWER