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irinina [24]
3 years ago
7

The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the

other leg? (4 points)
Question 3 options:

1)

18 millimeters

2)

20 millimeters

3)

24 millimeters

4)

28 millimeters
Mathematics
2 answers:
bixtya [17]3 years ago
8 0

Step-by-step explanation:

(26)^2 = (10)^2 + BC^2

676 = 100 + BC^2

576 =BC^2

BC = 24 mm

eimsori [14]3 years ago
6 0

Answer: 24 millimeters

the length of the other leg is x (x > 0)(millimeters)

using Pythagoras theorem with the right triangle, we have:

x² + 10² = 26²

⇔ x² = 26² - 10² = 576

=> x = 24 (mm)

Step-by-step explanation:

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A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a s
user100 [1]

Answer:

The margin of error is of 0.73 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

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 - 0.99}{2} = 0.005

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 - 0.005 = 0.995, so Z = 2.575.

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.

M = 2.575\frac{1.7}{\sqrt{36}} = 0.73

The margin of error is of 0.73 oz.

The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.

The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.

The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.

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2 years ago
ABCD is a rectangle. AD = 15, AC = 25, and DC = 20. Find BD.
agasfer [191]

Answer:

20

Step-by-step explanation:

it is the same length as DC just going diagonal.

(i am not good at explaining in case you could not tell)

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