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4 years ago

Factor 18p-3618p−3618, p, minus, 36 to identify the equivalent expressions. Choose 2 answers: Choose 2 answers:

Mathematics

2 answers:

lisabon 2012 [21]4 years ago

5 0

Answer:

18(p-2)

Step-by-step explanation:

We want to factor $18p-36$

We know that the greatest common factor is 18.

So we can rewrite to obtain:

$18*p-18*2$

We factor the GCF to obtain:

$18(p-2)$

Therefore $18p-36=18(p-2)$

Therefore the equivalent expression to 18p-36 is 18(p-2)

Ilya [14]4 years ago

5 0

Answer:

18(p-2) and 2(9-18)

Step-by-step explanation:

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4 years ago

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3 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen 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:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

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

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

0.3968 = 39.68% probability this shipment passes inspection.

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3 years ago

A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean

Misha Larkins [42]

Answer: 0.9608

Step-by-step explanation:

Given : A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that

Mean : $\mu=8.4\text{ hours}$

Standard deviation : $\sigma=1.8\text{ hours}$

Sample size : $n=40$

Let $\overline{x}$ be the sample mean.

The formula for z-score in a normal distribution :

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For $\overline{x}=8.9$

$z=\dfrac{8.9-8.4}{\dfrac{1.8}{\sqrt{40}}}\approx1.76$

The P-value = $P(\overline{x}$

Hence, the probability that their mean rebuild time is less than 8.9 hours is 0.9608 .

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3 years ago

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