In a game the player wins if he rolls a 4 on a number cube. If the number cube is rolled 24 times, then what is a reasonable prediction for the number of unsuccessful rolls?

Explanation:

If we want to roll a 4, then theoretically we have a probability of 1/6 of that happening. This is because there's 1 face that has "4" labeled on it, out of 6 faces total.

If we roll the cube 24 times, then we expect 24*(1/6) = 24/6 = 4 instances of the "4" show up. Of course, due to the random nature of this event, it's not guaranteed. So that's why we use the "expect" there.

We expect 4 times to get successful rolls, which means we have 24-4 = 20 unsuccessful rolls. This value (20) is also an expected or predicted value, and not a guarantee.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)