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user100 [1]
3 years ago
7

The length of a rectangle is five times the width.

Mathematics
1 answer:
Nitella [24]3 years ago
6 0
Hi there!

Let's use x for the width because we know the width is only 1. Next, we'll use 5x for the length because the length is 5 times the width. Now, we can set up an equation to solve for x.

WORK:
x * 5x = 1620
5x^2 = 1620
x^2 = 324
x = 18

ANSWER:
The width of the rectangle is 18 centimeters

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Answer:

a

Step-by-step explanation:

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3 years ago
The standard deviation of the weights of elephants is known to be approximately 15 pounds. We wish to construct a 95% confidence
JulsSmile [24]

Answer:

The 95% confidence interval for the population mean weight of newborn elephants is between 242.12 pounds and 245.88 pounds.

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{1-0.95}{2} = 0.025

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

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find 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.

M = 1.96*\frac{15}{244} = 1.88

The lower end of the interval is the sample mean subtracted by M. So it is 244 - 1.88 = 242.12 pounds.

The upper end of the interval is the sample mean added to M. So it is 244 + 1.88 = 245.88 pounds

The 95% confidence interval for the population mean weight of newborn elephants is between 242.12 pounds and 245.88 pounds.

5 0
4 years ago
Multiply the square root of 20 and the square root of 63
TEA [102]

Answer:

36.0555

Step-by-step explanation:

6 0
3 years ago
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Answer:

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7 0
3 years ago
PLEASE HELP ME WITH THIS
gladu [14]

Answer:

7

232

Step-by-step explanation:

First

Normally the average of something is total something over total time. I'll do it that way and see what happens.

The total time is ( 4 - 2) = 2 hours.

f(x) = 2^4 - 2 = 14

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Second

Average = Increase / time.

10000 (1.02)^10 - 10000 * (1.02)^5

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12,200 - 11040

1160

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8 0
3 years ago
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