Answer:
Mean value is 0 and standard deviation is 1 after all test scores have been standardized by converting them to z-scores using z
Step-by-step explanation:
In a standard normal distribution (also called as <em>Gaussian distribution</em>) all values of the sample can be projected to a normal distribution with mean 0 and standard deviation 1 using their z-scores.
z-score of a value X can be calculated as follows:
z=
where
- 50 is the <em>mean of the test scores</em>
- 6 is the <em>standard deviation of test scores</em>
8/7= 7/2x
2x= 16*7/8
2x =14
X=7
Since we know that ratio of AB : AC is 1 : √2, then we can more or less use those values for the sides, check the picture below.
so we're really looking for tan(2A). Let's bear in mind that tan²(θ) is just another way to write [ tan(θ) ]².