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3 years ago

Two numbers total 44. The first is one less than twice the second. What are the two numbers?

Mathematics

2 answers:

valentinak56 [21]3 years ago

3 0

Answer:

15 and 29

Step-by-step explanation:

Let the larger number = x

then the smaller number= 2x-1 because first is one less than twice the second

if the total is 44 then add the 2 numbers together to form an equation

x+2x-1=44

3x-1=44

3x=45

x=15

2x-1= 2(15)-1= 30-1= 29

ad-work [718]3 years ago

3 0

15 and 29

n+2n-1=44

3n-1=44

3n=45

n=15

2x-1= 2(15)-1= 30-1= 29

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Answer:

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Step-by-step explanation:

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

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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:

50 parts means that $N = 50$

4 defective means that $k = 4$

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Probability that none is defective, so:

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$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

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