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3 years ago

How many whole numbers greater than 0 and less than 100 are divisible by 2?

Mathematics

1 answer:

Bess [88]3 years ago

5 0

Answer: 49

Step-by-step explanation:

If it's less than 100, that means that you can't use the number 100 in the answer. From 0 - 100 there are 50 even numbers (divisible by 2), so that means that there would be 50 - 1 even numbers between 0 and 100 (not including 100). 50 - 1 = 49

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Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

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

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

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3 years ago

Solve the equation | z - 12 = 9

MariettaO [177]

Answer:

Step-by-step explanation:

21-12=9

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Read 2 more answers

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Leviafan [203]

A negative and a negative is a positive and a negative is a negative

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Oliga [24]

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N76 [4]

Answer:

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Step-by-step explanation:

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2 years ago

How many whole numbers greater than 0 and less than 100 are divisible by 2? ​

How many whole numbers greater than 0 and less than 100 are divisible by 2?