1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhannawk [14.2K]
2 years ago
8

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

, it was about 50% lighter than the standard iPad. Battery tests for the iPad Mini showed a mean life of 10.25 hours (The Wall Street Journal, October 31, 2012). Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.
a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?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)?d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?
Mathematics
1 answer:
nadya68 [22]2 years ago
5 0

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.

You might be interested in
What is the scale factor very urgent
alisha [4.7K]

Answer:

The scale factor of the triangle if of 3.

Step-by-step explanation:

All you have to do is use figure A and either multiply or divide by a number to get figure B. In this case, the straight vertical side of Figure A is 6 units, and the straight vertical side of Figure B is 2. So 6 divided by 2 is 3. That means that the scale factor of the triangle is of 3. The triangle contracted it's size by 3.  

4 0
2 years ago
A gardener works 14 hours a week and charges 168. how much does the gardener charge for each hour
Kitty [74]
Divide the total amount charged by the number of hours worked, and you have $/hour
$168÷14 hours = $12/hour
5 0
3 years ago
A 6500 gallon storage tank is 2/13 full of oil. How many gallons of oil are in the tank
user100 [1]

The gallons of oil in the tank is 1000

A 6500 gallon storage tank is 2/13 full

The number of oil in the tank can be calculated by multiplying the amount of gallons in the tank which is 6500 by the measurement of the tank which is 2/13

= 2/13 × 6500

= 13,000/13

= 1,000

Hence 1000 gallons of oil are in the tank

Read more here

brainly.com/question/10373356?referrer=searchResults

#SPJ1

4 0
1 year ago
When writing number to word when do we put comma and dash
Alexandra [31]
Easy¡¡!!!!¡

It's starts with 1000
u put the comma after the 1 1,000

10000
10,000

100000
100,000

and so on......
4 0
3 years ago
Giving 25 points for this! help ASAP please.
sweet [91]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • 5 × 10 to the power of 22 is how many times greater than 1 × 10 to the power of 21
    9·1 answer
  • Let f(x)=14/7+2e^−0.6x . What is f(3) ? Enter your answer, rounded to the nearest tenth, in the box.
    9·1 answer
  • Find the values of the following expressions for x = 2. 4x – 3​
    5·1 answer
  • Find the slope of the line passing through (-3, 4) and (1, -7) URGENT PLEASE HURRY
    8·2 answers
  • Color blindness is an inherited characteristic that is more common in males than females. Let F represent female, and C represen
    14·1 answer
  • 5x^5 + 20x^3 - 105.x^2<br>factor the following polynomial completely​
    10·1 answer
  • Tim has 17 marbles bob has 36 marbles and Jeffery has 49 marbles if they share all their marbles equally among themselves how ma
    8·1 answer
  • Can someone help with this question
    6·1 answer
  • A large order of cheesy fries costs $7. How much would it costs to buy three orders of cheesy fries?
    5·1 answer
  • Which of the following are possible measures for the angle shown? Select all that apply.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!