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stepan [7]
1 year ago
13

Eighth gradeT.5 Area and circumference of circles CHVThe diameter of a circle is 8 feet. What is the circle's circumference?d=8

ftUse 3.14 for .
Mathematics
1 answer:
Gwar [14]1 year ago
3 0

The circumference of a circle can be calculated using the following formula:

C=\pi d

Where "C" is the circumference of the circle and "d" is the diameter of the circle.

According to the information given in the exercise, the diameter of this circle is:

d=8ft

Knowing the diameter, you only need to substitute it into the equation. Remember that you need to use

\pi=3.14

Then:

\begin{gathered} C=(3.14)(8ft) \\ C=25.12ft \end{gathered}

The answer is:

25.12ft

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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
3 years ago
Finding a parametric description of the solution set of a linear system is the same as solving the system.Choose the correct ans
Grace [21]

Answer:

The answer is "Choice B".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, in all choices, the choice (B) is Correct because in the declaration of the statement Only when the process has had at least another answer could a candidate solution for more than just a linear model explicitly uses a parametric description that's why the given statement is true.

7 0
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hi can someone pls pls plsss! Help with this, I have a test and it’s due on Tuesday so I have time but for now can you pls help
shusha [124]

Answer:

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Step-by-step explanation:

You would take the area of the door (which would be 8 times 3) and subtract the area of the poster (which is 4 times 2).

Next, you would set up your equation: 24-8 which is 16.

Hope this helps! :)

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sukhopar [10]
The number would be C- 6
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3. I think of a number. I subtract 10 and add 5. I then double it. My
ella [17]

Answer:

30

Step-by-step explanation:

You can divide 50 by 2 which is 25

Then subtract 5

Add 10

And you get your number

It is really simple really ☺️

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