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3 years ago

Find the area of the shaded region. Round to nearest hundredth.

Mathematics

1 answer:

coldgirl [10]3 years ago

5 0

210/360 = 7/12, meaning the shaded area is 7/12 of the entire circle.

The circle has radius 12 in, so its total area is π (12 in)^2 = 144π in^2.

Then the area of the shaded region is 7/12 of this, or

7/12 * (144 π in^2) = 84π in^2 ≈ 263.89 in^2

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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

3 years ago

Jordan's family traveled 3/8 of the distance to his grandfather's house on Saturday. They traveled 3/5 of the remaining distance

jarptica [38.1K]

Answer:

1/40

Step-by-step explanation:

You have to find the amount of distance they traveled since the start of the journey. 3/5 + 3/8 is 39/40. How did we get that, you may ask?

We need to find a number that both 5 and 8 have to make. That can be 40. But how we made 5 and 8 40, we need to do the same to the top numbers. So 39/40 when we add them up. Finally, we need to substract that from the whole, and this gets you 1/40. Hope this helps.

Have a wonderful day, my friend.

4 0

3 years ago

The question in the picture is blurry so here it is :Laney used drinking straws in art to form of figure that had perpendicular

Nataliya [291]

D because perpendicular lines intersect at a right angle and D is the only shape with right angles.

5 0

3 years ago

Read 2 more answers

In the Pi Corporation, 4/5 of the managers are female. If there are 64 female managers, how many managers in total are there? Ho

oksano4ka [1.4K]

Step-by-step explanation:

$\frac{4}{5} = 64 \\ \frac{1}{5} = 64 \div 4 \\ \: \: \: \: \: \: = 16 \\ total \: managers \: = 16 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 80 \\ number \: of \: male \: \: managers \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{5}{5} - \frac{4}{5} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{5} = 16$

hope this helps you.

5 0

3 years ago

PLEASE HELP I ASKED THIS QUESTION YESTERDAY AND NOBODY ANSWERED.

ehidna [41]

Graph A is correct! :)

4 0

3 years ago