Graph the line containing the point P and having slope m. P=(1,8); m=0
1 answer:
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Answer:
exterior angles:
144°and 36°
126° and 54°
90° and 90°
Step-by-step explanation:
we know that each angle in a triangle adds up to 180°.
so,
2x+3x+5x=180
10x=180
x=180/10
x=18
the interior angles are:
2x=36°
3x=54°
5x=90°
and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)
Answer:
0.0322; 0.9929
Step-by-step explanation:
Since the data is normally distributed, we use z scores for these probabilities.
The formula for a z score of a sample mean is
For the sample of mildly obese people, the mean, μ, is 371; the standard deviation, σ, is 65; and the sample size, n, is 6.
Using 420 for X,
z = (420-371)/(65÷√6) = 49/(65÷2.4495) = 49/26.5360 ≈ 1.85
Using a z table, we see that the area under the curve to the left of this is 0.9678. However, we want the area to the right, so we subtract from 1:
1-0.9678 = 0.0322
For the sample of lean people, the mean, μ, is 528; the standard deviation, σ, is 108; the sample size, n, is 6.
Using 420 for X, we have
z = (420-528)/(108÷√6) = -108/(108÷2.4495) = -108/44.0906 ≈ -2.45
Using a z table, we see that the area under the curve to the left of this is 0.0071. We want the area under the curve to the right, so we subtract from 1:
1-0.0071 = 0.9929