Adetergent company periodically tests its products for variations in the fill weight. to do this, the company uses -charts. eight samples, each containing six detergent boxes, were selected from different batches. historical data for fill weight (in ounces) of the eight samples is presented below. sample sample mean sample range 1 15.80 0.42 2 16.10 0.38 3 16.02 0.08 4 15.95 0.15 5 16.12 0.42 6 16.18 0.23 7 15.87 0.36 8 16.20 0.40 if a2> for the -chart is 0.483, the upper control limit for the -chart (ucl ) will be:

a. more than 18.
b. more than 16 but less than or equal to 18.
c. less than or equal to 14.
d. more than 14 but less than or equal to 16.

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

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.

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