50/y answer YAYAY ayayaya
By definition
... sec(θ) = 1/cos(θ) . . . . trig identity
... sec(θ) = 1/(9/10) . . . . substitute the given value, then simplify to ...
... sec(θ) = 10/9
Division because if you divide the two functions together, you keep the 3 in the x term. If you add the two functions, your coefficient is 6. If you subtract, the x term is eliminated. If you multiply, you'll get 9x.
3 is smaller than 6 or 9 :)
In this case, we can use the z statistic to find for the proportion
of students who failed the exam. The formula for z score is given as:
t = (x – u) / s
where,
x = the sample score = 60
u = sample score mean = 82
s = standard deviation = 11
Substituting all given values into the equation:
t = (60 – 82) / 11
t = - 2
Based from the standard proportion distribution tables for
z, this corresponds to:
P = 0.0228
This means that 2.28% of the students failed the exam or
equivalent to:
failed students = (0.0228) * 85 = 1.938
<span>approximately 2 students failed the exam</span>