Point V is on line segment UW. Given VW = x, UV = 3x – 1, and

Mathematics

1 answer:

creativ13 [48]2 years ago

6 0

Answer:

4 units

Step-by-step explanation:

Since V lies on UW,

UV + VW = UW

$3x - 1 + x = 5x - 5 \\ 5x - x - 3x = 5 - 1 \\ x = 4$

Therefore, VW = 4 units

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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

coldgirl [10]

Answer:

Correct option: A. P=0.057

Step-by-step explanation:

Binomial Distribution

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

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