Answer:
(Assuming you want your answer in radians)
If you want the answer in degrees just multiply your answer in radians by 
giving you:
.
We can do this since 
(half the circumference of the unit circle is equivalent to 180 degree rotation).
Step-by-step explanation:
is going to output an angle measurement in ![[0,\pi]](https://tex.z-dn.net/?f=%5B0%2C%5Cpi%5D)
.
So we are looking to solve the following equation in that interval:
.
This happens in the second quadrant on the given interval.
The solution to the equation is .
So we are saying that 
implies 
since ![\frac{3\pi}{4} \in [0,\pi]](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Cpi%7D%7B4%7D%20%5Cin%20%5B0%2C%5Cpi%5D)
.
Answer is .
Answer:
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 69.0 inches and a standard deviation of 2.8 inches.
This means that 
What is the bottom cutoff heights to be eligible for this experiment?
The bottom 15% are excluded, so the bottom cutoff is the 15th percentile, which is X when Z has a pvalue of 0.15. So X when Z = -1.037.
The bottom cutoff heights to be eligible for this experiment is 66.1 inches.
2,000 is 10 times as much as 200. To find the answer we can divide 2,000 by 10:
2,000 / 10 = 200
It means that 200 is also 1/10 of 2,000.
If you want to find out what 2,000 is 1/10 of, then just multiply it by 10:
2,000 * 10 = 20,000
2,000 is 1/10 of 20,000.
Hello there! Your answer should be 4 mph. Reasoning:
2 = (20 - x) * t
3 = (20 + x ) * t
Time is the same for both equations. Solve for T.
2/(20-x) = 3/(20+x)
the answer is 4 mph.
Please tell me if I was right!
let's convert the mixed fractions to improper fractions firstly.
![\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{3\frac{1}{8}}\implies \cfrac{3\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{25}{8}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B3%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%208%2B3%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B8%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%208%2B1%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B25%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
