For a real number a, a+ 0 = a

Find the Volume. Use pi=3.14. Round to the nearest hundredth.

aleksandr82 [10.1K]

<h2>Volume = 4.19 inches³</h2>

<u>Step-by-step explanation:</u>

radius = 1 inches

π = 3.14

volume of SPHERE = 4/3 × π × radius³

= 4/3 × 3.14 × 1³

= 4.19 inches³

4 0

3 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

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

Divide 4 1/4 by 2.

Aleonysh [2.5K]

I’m pretty sure it’s 2 1/8

5 0

2 years ago

The table below shows field goal statistics for three different kickers

FromTheMoon [43]

Answer:

<h2>From least to greatest: C, B and A</h2>

Step-by-step explanation:

To order each Kicker correctly, we have to find the success rate of each one, which is obtained by dividing and then multiplying by 100 to obtained the percentage:

$R=\frac{made}{attempted}$

<h3>Success rate of A:</h3>

$R_{A}=\frac{12}{14}.100=86\%$

<h3>Success rate of B:</h3>

$R_{B}=\frac{15}{18}.100=83\%$

<h3>Success rate of C:</h3>

$R_{C}=\frac{19}{24}.100=79\%$

So, comparing all three, from least to greatest we have:

C with 79%, then B with 83%, and A with 86%.

3 0

3 years ago

Read 2 more answers

By rounding to 1 significant figure, estimate the answers to these questions:<br><br> 346 x 904

nikdorinn [45]

Answer:

312 784

Step-by-step explanation:

if u need this answer, take

8 0

3 years ago

Read 2 more answers