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mojhsa [17]
3 years ago
14

You have a triangle with one 70 degree angle and one 40 degree angle. What is the measure of the other angle? A) 40 degrees B) 7

0 degrees C) 60 degrees D) 180 degrees
Mathematics
1 answer:
NISA [10]3 years ago
6 0

Answer:

B) 70 degrees

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

We are given 2 angles in the triangle = 70° and 40°

The measure of the third angle is

180° = 70° + 40° + 3rd Angle

3rd Angle = 180° - ( 70° + 40°)

= 180° - 110°

= 70°

The measure of the other angle is 70°

Option B is the correct option.

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klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5

The standard deviation of the sample is calculated as:

s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8

Then, we can calculate the standard error of the mean as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5

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Simplify 14(1.2)^10?
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Step-by-step explanation:

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