I believe it’s 80^, sorry if i’m wrong :)
Huh? 5x100 = 500. Is that the question
Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
Given:
Each smoothie requires 20 ounces of cranberry juice and 10 ounces of passion fruit.
There are 1260 ounces of cranberry juice.
There are 650 ounces of passion fruit juice.
For the maximum servings of the smoothie, let
x = the number of 20-ounce cranberry juice used,
y = the number of 10-ounce passion fruit juice used.
The cranberry juice runs out when
20x = 1260
x = 63 servings
The passion fruit juice runs out when
10y = 650
y = 65 servings
Because x reaches, the cranberry juice runs out first after 63 servings of the smoothie.
There will be two 10-ounces = 20 ounces of the passion fruit left.
Answer:
(a) The cranberry juice runs our first.
(b) There will be 20 ounces of the passion fruit left over.
When you divide 9 by 3, you get three. You can distribute three bottles each to every man.
