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.
So to find the answer to this, you have to consider that

- half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.
To solve this, first subtract 9 from both side, which leaves you with

and

is the same as

, so to solve this, multiply both sides of the equation by two, resulting in

. SO from this we can conclude that the weekly allowance is $8
The answer is B-Associative Property
The sum if the geometric sequence given by:
an=-2(3)^(n-1)
will be:
when:
n=1
an=-2
when n=2
a2=-6
when n=3
a3=-18
when n=4
a4=-54
when n=5
a5=-162
when n=6
a6=-486
when n=7
a7=-1458
when n=8
a8=-4374
thus the summation of the term will be:
Sn=(-4374+-1458+-486+-162+-54+-18+-6+-2)
Sn=-6560
the answer is -6560
Answer:
Step-by-step explanation:
x = ¼y
y - x = 12
y - ¼y = 12
¾y = 12
y = 16
x = ¼y = 4