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3 years ago

Answer correctly / explain a little.

Mathematics

2 answers:

Makovka662 [10]3 years ago

8 0

Answer:

B) 8.4 lbs

Step-by-step explanation:

given:

y = 1.8x + 1.2

where,

x = number of weeks,

y = total lbs lost

in 4 weeks, x = 4 (substitute into equation):

y = 1.8x + 1.2

y = 1.8 (4) + 1.23

y = 7.2 + 1.2

y = 8.4 lbs

Dvinal [7]3 years ago

4 0

Answer:

B) 8,4 pounds

Step-by-step explanation:

$y = 1,8[4] + 1,2; 8,4 = y \\ \: \: \: \: \: \: \: \: \: \: \: 7,2$

You substitute four weeks in for x, multiply that by 1,8 to get 7,2, and finally add 1,2 to it, to get the total weight loss of 8,4 pounds [3,81018 kilograms].

I am joyous to assist you anytime.

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2 years ago

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces

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Answer:

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

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

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

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.

The probability that we find a value X lower than x is given by the following formula.

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

The probability of being higher than x is:

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

The probability of being between c and d is:

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

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)?

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

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

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

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)?

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

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

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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.

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0.8571*100 = 85.71

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