Answer:
V≈628.32 units³
Step-by-step explanation:
I used the formula:
V=πr2h/3 (h/3 as in a fraction)
Hope this helps!
Answer:
8/17
Step-by-step explanation:
total balls= 9 + 18 + 2 + 5 = 34
balls drawn should NOT be Orange.
so, 34 - 18 (as there are 18 orange balls)
16 balls
probability= 16/34 = 8/17
answer = 8/17
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

2. A florist can make a grand arrangement in 18 minutes
hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes
hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines
and 
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

Answer:
3/1 tsp. or 3 tsp.
Step-by-step explanation:
3/4 times 4
Answer:
0.967 = 96.7% probability the rock sample actually contains raritanium
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive reading
Event B: Contains raritanium
Probability of a positive reading:
98% of 13%(positive when there is raritanium).
0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

Positive when there is raritanium:
98% of 13%

What is the probability the rock sample actually contains raritanium?

0.967 = 96.7% probability the rock sample actually contains raritanium