Scott is the owner of a tool and die shop. he has hired you to check his machine’s calibration prior to starting production on a large order. to check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. that sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches. does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0