Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for a month. A random sample of 5 employees has been taken. These employees have gone through a training session on both machines. Below you are given information on their productivity rate on both machines. (Let the difference "d" be d = A - B.) Productivity Rate
PersonMachine AMachine B
1 47 52
2 53 58
3 50 47
4 55 60
5 45 53
If the value of the test statistic is equal to -2.17 and the objective of the test of hypothesis is to determine whether the two machines are different at a significance level of 10%, what conclusion should be drawn?
A. Reject the null hypothesis, the two machines are different.
B. Reject the null hypothesis, the two machines are not different.
C. Fail to reject the null hypothesis, the two machines are different.
D. Fail to reject the null hypothesis, the two machines are not different.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

19.

step-by-step explanation:

you add the 9 in the tens column since it is a single digit and 9 plus zero is 9 so it is 19

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2