Answer:
cos(2sin−1x)=1−2x2
Step-by-step explanation:
et sin−1x=θ , so that, x=sinθ,|x|≤1,θ∈[−π2,π2].
5/8=x/100
x=(5/8)(100)=500/8
x=62.5%
Answer:
-x +1
Step-by-step explanation:
-X is one less of the y
the question in English
The route of a stage of a cycle tour is 213 km long and a cyclist covers 2/3 of the route in five hours.
a) How many kilometers are left to finish the stage?
b) If he continues with the same average speed, how much time does he have left to finish the stage?
Step 1
we know that
1) Total kilometers of a stage is 
2) The cyclist covers
of the route
so
the kilometers remaining to finish the stage is equal to

therefore
<u>the answer Part a) is </u>

Step 2
<u>Find the average speed of the cyclist</u>
we know that
the speed is equal to

we have

substitute

Step 3
<u>Find the time remaining to finish the stage</u>
we know that

Solve for the time

we have

substitute

therefore
<u>the answer Part b) is</u>

Answer:
The z-score for the trainee is of 2.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean of the test scores is 72 with a standard deviation of 5.
This means that 
Find the z-score for a trainee, given a score of 82.
This is Z when X = 82. So



The z-score for the trainee is of 2.