Answer:
The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
Step-by-step explanation:
The area (A) of each pizza is given by:

Where:
r: is the radius
For the 12-inch pizza we have:

And for the 6-inch pizza we have:

The ratio between A₆ and A₁₂ is:

Hence:

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
I hope it helps you!
Answer:
x=-1.83
Step-by-step explanation:
1-2x=4(x+3)
1-2x=4x+12
-2x=4x+12-1
-2x=4x+11
-2x-4x=11
-6x=11
x=11÷-6
x=-1.83
2x+6 = 20
take 6 from both sides
2x = 14
divide by 2 on both sides
x = 7
Answer:
4,5,27
Problem:
Boris chose three different numbers.
The sum of the three numbers is 36.
One of the numbers is a perfect cube.
The other two numbers are factors of 20.
Step-by-step explanation:
Let's pretend those numbers are:
.
We are given the sum is 36:
.
One of our numbers is a perfect cube.
where
is an integer.
The other two numbers are factors of 20.
and
where
.

From here I would just try to find numbers that satisfy the conditions using trial and error.






So I have found a triple that works:

The numbers in ascending order is:

Answer:
0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the Sharks win, or they do not. The probability of the Sharks winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
The probability that the San Jose Sharks will win any given game is 0.3694.
This means that 
An upcoming monthly schedule contains 12 games.
This means that 
What is the probability that the San Jose Sharks win 9 games in the upcoming month?


0.0071 = 0.71% probability that the San Jose Sharks win 9 games in the upcoming month.