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3 years ago

QUICKLY I NEED FTHIS ANSWER QUICK

Mathematics

2 answers:

OLEGan [10]3 years ago

7 0

<span>227.81 square feet is the correct answer. Good luck and have a Fantastic Friday!</span>

AleksAgata [21]3 years ago

7 0

Answer:

235.75 square feet

Step-by-step explanation:

15 inches on all sides, means 30 inches more on side a and side b.

30 inches converted to feet is 2.5.

side a: 18 feet + 2.5 feet =20.5 feet

side b: 9 feet + 2.5 feet = 11.5

multiply both sides

20.5 * 11.5 = 235.75 square feet

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

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The probability of being higher than x is:

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The probability of being between c and d is:

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Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

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

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

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

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

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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)?

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

$P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857$

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

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

$P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714$

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)?

Proportion of iPad Minis with a battery life of at least 9 hours.

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

Out of 100:

0.8571*100 = 85.71

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