Determine the measures of the angles of AMNO if the measures of the angles are in the ratio 2:4:6.

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

nadya68 [22]

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

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

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)?

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

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

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

To the nearest whole number

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

5 0

2 years ago

2x-3y=8 solve for y I don't understand this at all can someone please help??

suter [353]

You can't find the exact value of y, but you can find y in terms of x!

Adding 3y and subtracting 8 from both sides, we have:

2x-3y+3y-8=8+3y-8

2x-8=3y

Dividing by 3, we see that y=(2x-8)/3. This is the simplest form we can find for y.

3 0

2 years ago

your milk cost $18 and he says you live in 18% tip in the sales tax is 6% what is the total cost of your meal

densk [106]

$13.68 because you do [.18+.06=.24] [18•.24=4.32] [18-4.32=13.68]

5 0

2 years ago

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How can you tell whether a counting problem is a permutation or combination problem? Give examples to support your answer

dolphi86 [110]

Answer:

Step-by-step explanation:

Permutation is the ways in which a fixed group or members that can be arranged or ordered and combinations are used when a smaller group has to be chosen from a larger group.

Examples:

<u>Permutation: </u>How many unique combinations of the word MAHNOOR can be formed when the letters will be scrambled

2. In what order or arrangements five people can be seated in the front row?

The number of people are fixed, we have to find the order.

<u>Combination:</u> Choosing two cards from a deck of 52 cards. We are choosing a small group from a larger group of all cards.

2. Choosing 4 students from a class to take part in the competition.

The selection can be made in multiple ways ..

4 0

2 years ago

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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS ANSWER THE QUESTION WITH A STEP BY STEP EX

Marina CMI [18]

i think the correct answer is C

5 0

2 years ago

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