Answer:
540, 541, 542
Step-by-step explanation:
let the number be n
hence the 3 consecutive numbers may be expressed as:
n , n+1, n+2
it is given that the sum of the 3 numbers is 1623
hence,
n + (n+1) + (n+2) = 1623
n + n + 1 + n + 2 = 1623
3n + 3 = 1623
3n = 1623 -3
3n = 1620
n = 1620 / 3
n = 540
hence the numbers are
540, (540 + 1) , (540 + 2)
or
540, 541, 542
Using the binomial distribution, there is a 0.0874 = 8.74% probability that not enough seats will be available.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are given by:
n = 15, p = 0.85.
The probability that not enough seats will be available is P(X = 15), as the only outcome in which not enough seats will be available is when all 15 people who bought the ticket show up, hence:


0.0874 = 8.74% probability that not enough seats will be available.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Just divide the denominator (bottom number) by the numerator (top number).
Answer:
.
Step-by-step explanation:
[2(12×17)] + [2(8×12)] + [2(8×17)] = ?
The real part of the result is the product of the real parts of the factors and the product of the imaginary parts:
a = 15*6 - (-4)(-3) = 90 -12 = 78
_____
You can treat this the same as any other product of binomials except that i² = -1.
... (15 -4i)(6 -3i) = 15(6 -3i) -4i(6 -3i) = 15·6 -15·3i -4·6i +4·3i²
... = 90 -45i -24i +12i² = (90 -12) -69i = 78 -69i