Answer:
22.7604763 degrees
Step-by-step explanation:
Note that the answer is NOT 20 degrees.
She adjusted the ramp to half the original <em>incline</em>
Therefore we have tan 40 = x = 0.839099631.
We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815
Taking the arctan of both sides, we get
y = arctan(0.419549815) = 22.7604763 degrees
Answer:
a) 2.5% b) 50%
Step-by-step explanation:
1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.
The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.
Answer:
3n + 2.
Step-by-step explanation:
Just combine like terms.
Answer:
13) 8.6
Step-by-step explanation:
To find the side length, use a trig function to solve for x.
You have the adjacent side and hypotenuse to the angle. Use the cosine function since its ratio is adjacent over hypotenuse.
This means Cos 52 = x / 14. Solve for x.
Cos 52 = x / 14
14* Cos 52 = x
8.6 = x
