3 years ago

If x(x - 5) = 14, then what is x equal to

Mathematics

1 answer:

Artyom0805 [142]3 years ago

4 0

Answer:

x(x-5) = 14

x^2-5x-14 = 0

x^2 -7x+2x-14=0

x(x-7)+2(x-7)=0

(x+2)(x-7)=0

x = -2, 7

Hope this helps!

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2 years ago

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

coldgirl [10]

Answer:

Correct option: A. P=0.057

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

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