There are 730 total boxes. The last box has 108 toys.
1. 7/10(1/5=2/10)
2. 1/12(1/2=6/12)
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
Answer:
a)
b) 0.75 = 75% probability that he makes no more than one of the shots
Step-by-step explanation:
We have these following probabilities:
64% = 0.64 probability that he misses both shots, that is, makes none of them.
11% = 0.11 probability that he makes one shot.
25% = 0.25 probability that he makes both shots.
a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.)
Binomial probability distribution, in which P(X = x) is the probability of making x shots. So
b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.)
0.75 = 75% probability that he makes no more than one of the shots