Answer:
(a) 0.1414
(b) 0.1010
Step-by-step explanation:
(a)
The density curve is rectangular in shape.
This implies that the distribution of donations is Uniform.
(b)
Compute the probability of donations at least 85 cents as follows:

![=\frac{1}{99}\times [x]^{99}_{85}\\\\=\frac{99-85}{99}\\\\=0.1414\\\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B99%7D_%7B85%7D%5C%5C%5C%5C%3D%5Cfrac%7B99-85%7D%7B99%7D%5C%5C%5C%5C%3D0.1414%5C%5C%5C%5C)
Thus, the proportion of donations that are at least 85 cents is 0.1414.
(b)
Compute the probability of donations between 30 and 40 cents as follows:

![=\frac{1}{99}\times [x]^{40}_{30}\\\\=\frac{40-30}{99}\\\\=0.1010](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B99%7D%5Ctimes%20%5Bx%5D%5E%7B40%7D_%7B30%7D%5C%5C%5C%5C%3D%5Cfrac%7B40-30%7D%7B99%7D%5C%5C%5C%5C%3D0.1010)
Thus, the probability of donations between 30 and 40 cents is 0.1010.
Let’s find 1% of 125 first.
125 x 0.01 = $1.25
1.25 x 20 = $25 gratuity.
Bill + gratuity = Total
$125 + $20 = $145
$145 is the answer.
Hope that helped! :)
Answer:
8 games
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Total amount = $150
Spent on Parking = 1/5 or 20% = $150 × 20% = $30
Spent on admission = $37
Spent on food = 40% = $150 × 40% = $60
Spent on admission in waterpark = $10
Each game cost = $1.5
So, let number of games played be X, then
$30 + $37 + $60 + $10 + $1.5X = $150
$137 + $1.5X = $150
1.5X = $150 - $137
1.5X = $13
X = $13 ÷ 1.5 = 8.67 or 8 games
Hence, Henry can play 8 games.
Hello! So in order to solve this problem, it's best to start off making an equation. $18 + $.15x = $29.25
In this equation x represents the number of minutes she used. So now, we just have to solve for x.
First subtract $18 from both sides. Your new equation will be $.15x = $11.25. Then divide both sides by $.15 to get x by itself. $11.25/$.15 = 75.
So we can conclude that Bella spoke on the phone for 75 minutes this last month. Hope this helps!