Mr. jacobs is going to make a histogram of the test scores from the last math test he gave. he plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. the test scores are listed below.

79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85

how many bars will his histogram have?

a. 60-69

b. 70-79

c. 80-89

d. 90-99

answer is B

Step-by-step explanation:

because there is more 70s numbers there then anything else

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.