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mr Goodwill [35]
4 years ago
12

Find the length of the missing side of the triangle. The lengths of the triangles are 5m and 14m. The answer choices are:

Mathematics
2 answers:
Nezavi [6.7K]4 years ago
7 0
Two sides of a triangle are: 5, 14.
By triangle inequality the sum of each pair of sides must be > the third side.
x + 5 > 14
Subtract 5 from both sides.
x > 9

x + 14 > 5
Subtract 14 from both sides.
x > -9

5 + 14 > x
19 > x

x has to be greater than 9 but less than 19.
Letter A

torisob [31]4 years ago
4 0
I guess you mean 5m and 14m are the lengths of 2 sides of the triangle.

If  the length of any side is equal or greater than the sum of the other 2 sides then you can;t make a triangle.

So for example  19 cannot  the answer because 19 = 5 + 14 .  No triangle can be formed with sides that measure.
and 38 is greater than 14 + 5 so its cant be C.


The answer is A
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Answer:

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Step-by-step explanation:

Let <em>X</em> = the number of errors of a billing program.

According to the Central limit theorem if a large sample (<em>n</em> > 30) is drawn from an unknown population then the sampling distribution of the sample mean will follow a Normal distribution with mean (\mu_{\bar x}=\mu) and standard deviation      (\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}).

The sample size of the loans is, <em>n</em> = 1000.

The mean is, {\bar x}=4.6.

The standard deviation is,  \sigma_{\bar x}=\frac{0.50}{\sqrt{1000}}=0.016

The confidence interval for mean is:

CI=\bar x\pm z_{\alpha /2}\times \sigma_{\bar x}

The critical value of <em>z</em> for 95% confidence interval is:

z_{\alpha /2}=z_{0.05/2}=z_{0.025}=1.96

**Use the <em>z</em>-table for critical values.

Compute the 95% confidence interval for true mean error as follows:

CI=\bar x\pm z_{\alpha /2}\times \sigma_{\bar x}\\=4.6\pm1.96\times0.016\\=4.6\pm0.03136\\=(4.56864, 4.63136)\\\approx(4.57, 4.63)

Thus, the 95% confidence interval for true mean error is (4.57, 4.63).

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Answer:

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Step-by-step explanation:

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STEP 2: Solve for x in the first equation.

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