Two machines used to fill soft drink containers are being compared. The number of containers filled each minute is counted for 60 minutes. During these 60 minutes, machine 1 filled an average of 73.8 cans per minute with a standard deviation of 5.2 cans per minute, and machine 2 filled an average of 76.1 can per minute with a standard deviation of 4.1 cans per minute. Can you conclude that machine 2 is faster than machine 1

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.