The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>
Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists, 
The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.
Expand 
Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
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Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:
For the next unique toy, there is now a 3 in 5 chance of getting it:
Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:
Finally, there is a 1 in 5 chance to get the last unique toy:
The expected number of boxes to obtain a full set is:
Answer: they are 3 miles apart
Step-by-step explanation:
It’s A. I hope that helps
Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
