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Mashutka [201]
3 years ago
14

Identify the diameter of Q given that a= 169 pie in2

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:

the diameter will be D=26 in.

Step-by-step explanation:

The area of a circle is given by:

A=\pi R^{2} (1)

Where:

  • A is the area
  • R is the radius of the circle

Now, we know that A = 169 π in²

So, we just need to use equation 1 to find R.

169\pi = \pi R^{2}

R=\sqrt{169}

R=13 \: in

Therefore, the diameter will be D=2*R=26 in.

I hope it helps you!

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Find the mean, range, and interquartile range of the heights of plants given
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Answer:

Mean = 30.9

Range = 80

Interquartile Range = 36

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms. In other words that means 2, 22, 4, 36, 82, 44, 65, 30, 8, 16 go over a fraction like this. There are 10 numbers here so this is our denominator.

\frac{2+ 22 + 4 + 36 + 82 + 44 + 65 + 30 + 8 + 16}{10}

\frac{309}{10} > 30.9

For the range, all we do is subtract the minimum value from the maximum which is 82 - 2. That gives us 80.

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Arrange the terms in ascending order.

2, 4, 8, 16, 22, 30, 36, 44, 65, 82

Then we need to find the median which is the average of the two middle terms.

\frac{22+30}{2} > \frac{2*11 + 30}{2} >\frac{2*11+2*15}{2} > \frac{2 * (11 + 15)}{2} > 11 + 15 > 26

So for the lower half of data 2, 4, 8, 16, 22 we have the median of 8

And for the upper half 30, 36, 44, 65, 82 we have the median of 44.

To find the IQ Range it is the difference between the first quartile (8) and the third (44)

So 44 - 8 = 36

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