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3 years ago

The circumference of a circle can be found using the c = 2πr. use the formula to solve for the radius of a circle, r

Mathematics

2 answers:

solong [7]3 years ago

8 0

Answer:A) r= C over 2 pie

Step-by-step explanation:

Given: The circumference of a circle can be found using the $C=2\pi r$

To solve the above equation for radius of the circle 'r', first divide $2\pi$ on both sides of the equation, we get

$r=\dfrac{C}{2\pi}$

Hence, the formula to calculate radius 'r' is the circle will be : $r=\dfrac{C}{2\pi}$

julsineya [31]3 years ago

5 0

$\bf \textit{circumference of a circle}\\\\
C=2\pi r~\hspace{12em}\cfrac{C}{2\pi }=r$

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(-3)(8+-10)!!!!!!!!!!!!!!!!!!!!!

evablogger [386]

(-3)(8+-10)
(-3) • ( -2)
which equals 6

8 0

3 years ago

Convert 0.533333... to a fraction. (only the 3 is repeating) Please show the work!!

amm1812

Let x = 0.5333333333 ...

So 100x = 53.3333333333 ...
and 10x = 5.3333333333 ...
---------------------------------
90x = 53 – 5 = 48.

So x = 48/90 = 8/15 after reduction to lowest terms (by factor of 6)
0.3333... = ⅓. and that 0.5 = ½.

So 0.533333... = 0.5 + 0.0333333...0.5 + 0.3333.../10 = 1/2 + (1/3)/10 = 1/2 + 1/30 = 16/30 = 8/15

6 0

3 years ago

Find the sum or different 11/18-1/6

ira [324]

Answer:

4/9

Step-by-step explanation:

11/18-1/6

The first step is to get a common denominator, which is 18. We can multiply 1/6 by 3/3 to get the denominator to 18

11/18 - 1/6 *3/3

11/18 - 3/18

8/18

Now we can simplify the fraction by dividing the top and bottom by 2

4/9

7 0

3 years ago

Read 2 more answers

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

kupik [55]

Answer:

There are 5,586,853,480 different ways to select the jury.

Step-by-step explanation:

The order is not important.

For example, if we had sets of 2 elements

Tremaine and Tre'davious would be the same set as Tre'davious and Tremaine. So we use the combinations formula.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In how many different ways can a jury of 12 people be randomly selected from a group of 40 people?

Here we have $n = 40, x = 12$ .

$C_{40,12} = \frac{40!}{12!(28)!} = 5,586,853,480$

There are 5,586,853,480 different ways to select the jury.

3 0

3 years ago

Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1964.4}{20} = 98.22$

Sum of squares of differences = 16.152

$s = \sqrt{\dfrac{16.152}{49}} = 0.922$

Population mean, μ = 98.6

Sample mean, $\bar{x}$ = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98.6\\H_A: \mu < 98.6$

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432$

The t-score is -1.8432

7 0

3 years ago