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1 answer:
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Correct question:
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31" steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.9 millimeters? Round your answer to four decimal places.
Answer:
0.1310
Step-by-step explanation:
Given:
Sample size, n = 31
mean, u = 131
X - u = 1.9
If a random sample of 31 steel bolts is selected, the probability that the sample mean would differ from the population mean by more than 1.9 millimeter, would be determined by:
Z = 1.51
Probability =
P(|Z| > 1.51) =
P(Z < -1.51) + P(Z > 1.51)
= P(Z < -1.51) + 1 - P(Z > 1.51)
Using the standard normal table:
= NORMDIST(-1.51) = 0.0655;
NORMDIST(1.51) = 0.9345
Thus,
P = 0.0655 + 1 - 0.9345
= 0.1310
Answer:
a)
b) independent variable: x - number of DVDs rented
dependent variable: y - the monthly cost of rent of x DVDs
c) $26
Step-by-step explanation:
<u>Question:</u>
Your DVD membership costs $16 per month for 10 DVD rentals. Each additional DVD rental is $2.
a. Write an equation in two variables that represents the monthly cost of your DVD rentals.
b. Identify the independent and dependent variables.
c. How much does it cost to rent 15 DVDs in one month?
<u>Solution:</u>
Let x be the number of DVDs rented, and y be the monthly cost of rent of x DVDs.
a) For the first 10 DVDs you should pay $16 and for the next (x - 10) DVDs you have to pay additional $2 per DVD.
Then the total cost is
b) Independent variable is x, dependent variable is y (the cost depends on number of DVDs rented).
c) If x = 15, then
It will cost $26 to rent 15 DVDs.