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3 years ago

Fifteen less than twice a number is 53.solve 2n-15=53

2 answers:

6 0

2n-15=53
You need to get n by itself. To do that we need to simplify the left hand side of the equation. To do so, we move everything away from n. First add 15 to both sides to eliminate it on the left side.
2n-15+15=53+15
2n=68
next divide by 2 to solve for n
2n/2=68/2
n=34

vaieri [72.5K]3 years ago

5 0

First add 15 to both sides:

2n = 68

Then divide each side by two.

n = 34

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3 years ago

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a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

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Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

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$P(X \leq x) = \frac{x - a}{b-a}$

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$P(X > x) = \frac{b - x}{b-a}$

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$P(c \leq X \leq d) = \frac{d-c}{b-a}$

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This means that $a = 8.5, b = 12$

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$P(X \leq x) = \frac{x - a}{b-a}$

$P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286$

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b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

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0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

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$P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571$

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0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

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