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3 years ago

A circle has a radius of 48 millimeters.

Mathematics

1 answer:

Gemiola [76]3 years ago

5 0

Answer:

Arc length, S...is given by

S = r (theta in radians)

S = 28 (3π/4) = 28 (3/4)*π = [ 21 π ] inches

Step-by-step explanation:

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Help im stuck haveing such a bad time understanding this

asambeis [7]

The answer would be 12 to the -10 because with multiplication you you add the -4 and -6

6 0

4 years ago

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

What is... X/2 - 13 = 1

kow [346]

X ÷ 2 - 13 = 1
Write the division as a fraction
$\frac{1}{2}x - 13 = 1$
Multiple both sides of the equation by 2
$2 \times \frac{1}{2}x \times - 2 \times 13 = 12$
Reduce the number with greatest common divisor 2
$x - 2 \times 3 = 2$
Multiply the numbers
$- 2 \times 13$
Then u will have
$x - 26 = 2$
Move constant to the right by adding its opposite sides
$x - 26 + 26 = 2 + 26$
Eliminate the opposites
$- 26 + 26$
Then you have
$x = 2 + 26$
Add the numbers
$x = 28$

5 0

3 years ago

Solve the inequality for x. Show each step of the solution.<br> 12X>9(2X-3)-15

agasfer [191]

12x > 18x - 27 - 15
12x > 18x - 42
12x - 18x > -42
-6x > -42
x < -42/-6
two negatives make a positive so now its x < 42/6
Lastly divide 42/6 so it can equal 7

Answer: X < 7.

6 0

4 years ago

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To which set of numbers does −38 belong?

MariettaO [177]

They belong to the number group of INTEGERS

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3 years ago

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