Answer: 2730
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Explanation:
A shortcut way is to start at 15 and count down til you reach three values. So that means you'll have 15, 14, 13 which multiplies out to...
15*14*13 = 2730
Or you can use the nPr formula, with n = 15 and r = 2, to get the same answer
nPr = (n!)/((n-r)!)
15P3 = (15!)/((15-3)!)
15P3 = (15!)/(12!)
15P3 = (15*14*13*12!)/(12!)
15P3 = 15*14*13
15P3 = 2730
Answer:
Option B is correct.
The expression which is equivalent to
is; 
Explanation:
Given the equation:
for all values of n.
The quadratic equation in this form; 
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have

Now, factor the first two terms and last two terms,

we see that
is common to both terms so, we have;

Therefore, the expression
is equivalent to
Check:
(n+4)(n+22) =
=
[ True]
Answer: 100
Step-by-step explanation:
Given : The total number of seats planned in new restaurant =134
The percentage of customers demand a smoke-free area = 62%
It can also be written as 
The mean of this binomial distribution will be :-

Standard deviation:-

Now, the number of seats should be in the non-smoking area in order to be very sure of having enough seating there :-

Answer: 20 feet perimeter is the largest allowed
Step-by-step explanation: width=2.5 length=no more than 3x2.5
so find longest possible length allowed...
2.5x3=7.5
calculate largest perimeter allowed...
2(7.5+2.5)=20