If you multiply a number by four and then subtract negative ten, the difference is negative twenty-two. What is the number?

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

Answer:

n=-3

Step-by-step explanation:

To solve start with the 4n-10=-22

+10 to both sides and you get 4n=-12

Divide each side by 4 and you get n=-3

To check plug -3 in for n and you'll get the -2 once you solve it.

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The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bo

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Step-by-step explanation:

<u>Binomial Distribution</u>

The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.

The PMF (Probability Mass Function) of the binomial distribution is

$\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}$

Where $q = 1-p$

The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is

$\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}$