Answer:
243 outcomes
Step-by-step explanation:
Number of fruits = 5
Number of bowls = 3
Number of ways to put the fruits in the bowls = ?
Consider the number of choices for each fruit.
There are three bowls where you can place that fruit. So for all five fruits, there are a total of:
3^5 = 3*3*3*3*3
Answer:
$12
Step-by-step explanation:
amount of tax = $0.72
percent of tax= 6%
Let the original cost be x
so that
6% of x= 0.72
solve for x
6/100*x= 0.72
0.06x= 0.72
divide both sides by 0.06
x= 0.72/0.06
x=$12
Hence the cost is $12
We have been given that a colleague has been tutoring six students in 11th grade to prepare for the ACT. Student scores were as follows: 20, 18, 16, 15, 23, 20. We are asked to find the mean of the ACT scores.
We will use mean formula to solve our given problem.
Upon rounding to nearest whole number, we will get:
Therefore, the mean of the ACT scores is 19 and option 'c' is the correct choice.
Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
