Dan used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. the results are shown in the tables below: numbers on the cube: 1, 2, 3, 4, 5, 6 number of times rolled: 19, 26, 13, 23, 8, 11 heads: 48 tails: 52 using dan's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up? answers: a) 48 over 100 b)71 over 100 c) 1002 over 10000 d)1104 over 10000

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

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.