Given that average age of employees of a large company is Normal
X - average age of employees
X:N(32,4)
The average age of employees in sales dept is 27 years.
Prob that an employee, chosen at random, will be younger than 27 years.
= P(X<27)
Let us convert x into Z
Z = (x-32)/4 = -5/4 = -1.25
Reqd prob = P(Z<-1.25) =0.5-0.3925
= 0.1075
Hence 10.56% is the correct answer.
Answer:
5/7
Step-by-step explanation:
first of mean to divide
so it really saying x ÷ 3/4 and x = 15/28
15/28 ÷ 3/4 but you cant divide fractions
so we use copy dote flip
copy 15/28
dote ×
flip 4/3
15/28 × 4/3
then cross simplafiy so 4 can go into 28, 7 rimes. and 3 can go into 15, 5 times
5/7
Answer:
slope = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 5 + 4x, that is
y = 4x - 5 ← is in slope- intercept form
with slope m = 4
9. You need an exact answer. So I will give you it but I'll also give you an approximation because it might help you understand it more.
Because we know the cosine fo theta, we can evaluate the inverse cosine of -2/3 first to find theta.
= 131.81° approx.
Because 131.81° is in the second quadrant its third quadrant partner is 228.19°. Which would make the sine 0.75 approximately.
But we need an exact answer I suppose so which is this disgusting mess...
. I know it looks scary but it is basically all the steps we just did but without evaluating anything.
This can be simplified using: sin(x− y) = sinxcosy−cosxsiny
To... 
answer: 
10. Okay. So because we have a point we can say that...
θ = 
sin(θ) = +sin(
)
11. arcsin(-0.37) =
= -21.72°+2kπ or 201.72°+2kπ approx. where k has to be an integer
answer: idk if you want one or more solutions so I gave you them all.
12. arccos(-√3/2) = 
Remember that "k" must be an integer.
answer: 5π/6