Answer:
Answer for the question:
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 2.7.
a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?
b. If the acceptable range of hardness is (69-C, 69+C), for what value of C would 95% of all specimens have acceptable hardness?
c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?
d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than 72.84(HINT Y=number among the ten specimens with hardness less than72.84 is a binomial variable; what is p?)
is given in the attachment.
Step-by-step explanation:
Answer:
-3x + 12
Step-by-step explanation:
Distribute the 3 to the numbers in the parenthesis.
3x + 12 -6x
-3x + 12
Answer:
the answer is 36ft by 48ft
Step-by-step explanation:
We first need to find the measurements of the green squares. Given the drawing is to scale we can say that each green square has equivalent measurements. Since there are 144 feet on each side of the original drawing, and 12 green squares on each side as well, then we need to divide 144 by 12 to find the measurements of one square. 144/12=12. the green squares are each 12ft by 12ft. to find the measurement of the jungle gym, we see how many green squares are on each side (there are 3 and 4) then multiply that number by 12. 4*12 I 48, and 3*12 is 36. Hence the measurements of 36ft by 48ft.
Part A: 65/90 because you take the given number of positive test and put it over the total number of test.
Part B: it’s dependent because it depends on the negative to get the probability/likely hood.
<span>Estimate 6.1 DIVIDED 8
When you say estimate, meaning you have to round off the decimal to its nearest whole number to solve it easily
=> 6.1 = 6
=> 6 / 8 = 0.75 is the quotient of the given equation.</span>
