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.
Let the required equation be y = mx + c; where y = 1, m = f'(0), x = 0
f(a) = sec(a)
f'(a) = sec(a)tan(a)
f'(0) = sec(0)tan(0) = 0
y = mx + c
1 = 0(0) + c
c = 1
Therefore, required equation is
y = 1.
Answer:
55
Step-by-step explanation:
Since there is a right angle at the bottom, we know that x and angle 35 degrees form a right angle so 90 minus 35 is 55.
Step-by-step explanation:
Q1 . (f+g)(x) = f(x) + g(x)
=4x-4 +2x^2 -3x
= 2x^2 + x -4
Q2. (f-g)(x) = f(x) - g(x)
= 2x^2−2 - (4x+1)
= 2x^2 -2 -4x -1
= 2x^2 - 4x -3
Q3. h(x)=3x−3 and g(x)=x^2+3
(h.g)(x) = h(x) × g(x)
= (3x-3) × (x^2 + 3)
=3x^3 -3x^2 + 9x -9
Q4.f(x)=x+4 and g(x)=x+6
(f/g)(x) = f(x) ÷ g(x)
= x+4 / x+6
the domain restriction is x>-6
x<-6
x doesn't equal (-6)