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3 years ago

The sum of all prime factors of 100 is

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

prime factorization of 100

100 = 2 * 2 * 5 * 5

Sum of all prime factors

2 + 2 + 5 + 5 = 14

-------------------------

Extra credit

Sum of unique prime factors

2 + 5 = 7

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Step-by-step explanation:

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masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

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A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

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$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

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$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

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$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

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