Answer:
28.6, that is, about 29 are expected to be defective
Step-by-step explanation:
For each battery, there are only two possible outcomes. Either it is defective, or it is not. The probability of a battery being defective is independent of other betteries. So the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

The probability that a battery is defective is 1/14.
This means that 
400 batteries.
This means that 
How many are expected to be defective?

28.6, that is, about 29 are expected to be defective
Answer:
Step-by-step explanation:
If the variation is proportional dividing the y-value by the x-value will give the same result for all table entries. That quotient is the constant of variation (k).
Here 6.4/4 = 11.2/7 = 16/10 = 20.8/13 = 1.6
The value of y varies directly as x, and the constant of variation is 1.6. The equation is ...
y = 1.6x
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➷ Calculate the number of hours:
24 x 3 = 72
72/13 = 5.5....
This is 5 whole half lives
You have to half the value 5 times
149/2 = 74.5
74.5/2 = 37.25
37.25/2 = 18.625
18.625/2 = 9.3125
9.3125/2 = 4.65625
The closest value is B. 3.21 so that should be the answer
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Answer:
4y + 3
Step-by-step explanation:
An equilateral triangle has three sides of equal length.
The length of each side is 1/3 of the perimeter.
(12y + 9)/3 = 12y/3 + 9/3 = 4y + 3
Answer: 4y + 3