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tia_tia [17]
2 years ago
14

Determine whether the given length can be side lengths of a right triangle. 12m, 60m, 61m

Mathematics
1 answer:
Ne4ueva [31]2 years ago
3 0

Answer:

No

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the longest side squared is equal to the sum of the squares of the other 2 sides then the triangle is right.

The longest side = 61, thus

61² = 3721

12² + 60² = 144 + 3600 = 3744 ≠ 3721

Thus these sides do not form a right triangle.

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Find the distance between the two points on the coordinate plane.
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A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th
taurus [48]

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0518

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

n = 27, s = 21.4. So

M = 2.0518\frac{21.4}{\sqrt{27}}

M = 8.45

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

5 0
3 years ago
The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with
pochemuha

Answer:

a)17.92

b) 16.83 .... 21.17

Step-by-step explanation:

ρ→   z

0.14 = -1.080319341

-1.080 = (x - 19)/1 = 17.92

~~~~~~~~~~~~~~~~~~

3% / 2 = 1.5%

1.5% - 98.5%

ρ→   z

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8 0
3 years ago
Classify the statement as either true or false.<br> lim<br> 6 = 6
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Answer:

false

Step-by-step explanation:

if is 6= you need to time by it self like: 6×6=is ur answer

4 0
3 years ago
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