Answer: 0.3741
Step-by-step explanation:
Poison probability ;
P(x) = [U(^x) e(^-U)] ÷ x!
Where U = mean
Note: e = exponential symbol
Number of checks that year = 171
Number of days in a year = 365
U = 171/365 = 0.468
Average checks per day = 0.4685
Probability that at least one check was written per day is can be calculated by;
P(not 0) = 1 - P(0)
Therefore,
P(x) = [U(^x) e(^-U)] ÷ x!
P(0) = [ 0.4685^0 * e^-0.4685] ÷ 0!
P(0) = [ 1 * 0.6259] ÷ 1
P(0) = 0.6259
Therefore,
P(not 0) = 1 - 0.6259 = 0.3741
I only see one question.
The answer is the root 4 has the multiplicity of 2.
Answer:
Step-by-step explanation:
Pineapple:Sparkling water
3:2
A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.
B: 3 times as much punch, basically multiply by 3
3(3):2(3)
9:6 pineapple:water
2 (water) = 4 quarts 1=2 quarts
9(2)=18
B: 18 quarts
B. 1 hour, he takes the exact amount of time that he types.
Answer:
18" X 18" X 36"
Step-by-step explanation:
Given a square base container of height h, let a side of the base =s
The volume of the container, 
If the sum of its height and girth (the perimeter of its base) equals 108 in
Substituting h=108-4s into V
We are required to determine the maximum volume of such container, first we take the derivative:
Optimizing:
Recall that: h = 108-4s
The dimensions of the carton are 18" X 18" X 36".
