Suppose that we have two manufacturing workers, Bob and Jane, who each produce machine parts. Bob can make an average of 5 parts of per hour, with a standard deviation of 3 parts per hour (thus a variance of 9 parts per hour squared). Jane can make an average of 6 parts of per hour, with a standard deviation of 2 parts per hour (thus a variance of 4 parts per hour squared).Let X represent the number of parts made per hour by Bob. Let Y represent the number of parts made per hour by Jane. a). Let Z represent the total number of parts made per hour by both workers. What are the expected value and variance of the total number of parts made per hour by both workers?b).Suppose the reason Bob makes fewer parts per hour with higher variability is that he is making a different type of part than Jane. Our company makes a $10 profit for each part made by Bob and $9 profit for each part made by Jane. Let W be the total profit in dollars per hour from parts created by both workers. Write out W in the form of a linear combination of X's and Y's. c). Find the combined average and variance for profit in dollars per hour created by the two workers.

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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

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.