Answer:
In 4 months, they will both have 132 stamps.
Step-by-step explanation:
Let x = # of months
52 + 20x = 68 + 16x
4x = 16
x = 4
Plug x value into both expressions and see if it checks out
52 + 20(4) = 68 + 16(4)
52 + 80 = 68 + 64
132 = 132
Answer:
150 students.
No
.20
3/10
Step-by-step explanation:
What you do for the first one is you take 1,500 and times it by 90%. You will get 1,350. You will then take the 1350 and minus it from 1500 to get 150 students.
The next one says that he drilled a hole that is 5/9 inches wide. He has a drill bit that is 5/6. Will the drill bit be big enough. No because 5/9 is .556 and 5/6 is .833.
For the next one all they want you to do is look at the fruit percentage and put it into a decimal which is .20.
The next one they want the fraction that represents 30% which is 3/10.
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that
Answer:
The number of test required is: 55
Explanation:
Using combination formula:
n!/x!(n-x)!
= 11!/2!(9)!
= 55
Answer:
The probability of the chosen ball being shiny conditional on it being red is; 0.375
Step-by-step explanation:
Let A be the event that a red ball has been chosen
Let B be the event that a shiny ball has been chosen
Let S be the total outcomes = 150 balls
Thus;
P(A ∩ B ) = 36/150
A ∩ B' = 150 - 36 - 54
A ∩ B' = 60
Thus; P(A ∩ B') = 60/150
P(A') = 54/150
P(A) = (150 - 54)/150 = 96/150
Thus, probability of the chosen ball being shiny conditional on it being red is;
P(B | A) = P(B ∩ A)/P(A)
Thus; P(B | A) = (36/150)/(96/150)
P(B | A) = 0.375
