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Julli [10]
3 years ago
6

The sum of three numbers is 73. The second number is equal to the first number diminished by 7. The third number is five times t

he first. What are the numbers? Which three expressions could be used to represent the number?
A. N; n-7; 5n
B. N+7; n-7;n
C.n+5; n-7;n
Mathematics
1 answer:
atroni [7]3 years ago
4 0

Answer:

<h2>A. n; n - 7, 5n</h2>

Step-by-step explanation:

n\to first\ number\\n-7\to secon\ number\\5n\to third\ number\\73\to the\ sum\ of\ numbers\\\\\text{The equation:}\\\\n+(n-7)+(5n)=73\qquad\text{combine like terms}\\\\(n+n+5n)-7=73\qquad\text{add 7 to both sides}\\\\7n=80\qquad\text{divide both sides by 7}\\\\n=\dfrac{80}{7}\\\\n=11\dfrac{3}{7}\\\\n-7=11\dfrac{3}{7}-7=4\dfrac{3}{7}\\\\5n=5\cdot\dfrac{80}{7}=\dfrac{400}{7}=57\dfrac{1}{7}

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Let P(X=x) represent x people showing up

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P(X = x) can be evaluated using binomial distribution formula

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where xᵢ = each independent person,

pᵢ = probability of each independent person not showing up.

E(X) = 6(1×0.5) = 3

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