Is 5/7 greater than 4/6

Mathematics

2 answers:

wlad13 [49]4 years ago

8 0

5/7 = .714
4/6 = .666

.714 > .666

So then 5/7 > 4/6

Kitty [74]4 years ago

5 0

Convert to decimals.

5/7 = 0.71
4/6 = 0.67

So yes, 5/7 is greater than 4/6.

Or you can convert to denominators of 42:

5/7 = 30/42
4/6 = 28/42

Compare the the numerators.

30 > 28, so 5/7 > 4/6

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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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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

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