Answer:
the expression is: 
and 2730 different ways are possible.
Step-by-step explanation:
In the given question we have to choose a president, vice
president, and secretary.
Permutations are used when order is important so, as in the given question order is required. We would use permutations
The formula used is: 
where:
n=total number of objects
r=number of objects selected
In our case: n=15, r=3
Putting values and finding the answer:
So, the expression is:
and 2730 different ways are possible.
2 cups of sugar does loraine receives than gayla
Answer:
0.4437
Step-by-step explanation:
First we will define independent events.
Two events are said to be independent when the occurrence of one event doesn't affect the probability of occurrence of second event.
Given
P(Q)=0.87
and
P(R)=0.51
The probability of independent events is given as:
P(Q∩R)=P(Q)*P(R)
=0.87*0.51
=0.4437
So the probability of Q and R is 0.4437 ..
~2.09. The formula is (pi)r^2(h)/3 so 3.14286 • 1^2 • 2 is ~6.2857. Divers that by two and get 2.09
The number of cups that are left in a half-gallon carton of orange juice after 3 cups are used is 5 cups.
To solve this question, we'll need to convert gallons to cups. This will be:
1 gallon = 16 cups. Therefore, 1/2 gallon will be = 1/2 × 16 = 8 cups.
In this case, we'll then subtract the number of cups that have been used from 8 cups. This will be:
= 8 cups - 3 cups .
= 5 cups.
Therefore, the number of cups that are left after 3 cups are used is 5 cups.
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