Answer:
(a) 100
(b) 10.27
Step-by-step explanation:
We are given
No of elements = 15
Σ(x-c) = 72,Σ(x-c)^2 = 499.6
,where c is a constant
and the sample mean is 104.8.
(a) lets take into account Σ(x-c) = 72
this means that we have the sum of the 15 elements of x and each element of x is subtracted by the constant c
so the equation becomes Σxi -15c = 72, ............(1)
where xi means the sum of the elements of x from 1 to 15.
we are given the mean as 104.8
this means that Σxi/15 = 104.8
Σxi = 15*104.8 = 1572 .............(2)
substituting (2) in (1)
we get
1572 - 15c = 72
15c = 1500
c = 100
(b) We will use the property that variance does not change when a constant value is added or subtracted to the elements. This we can observe in the given equation that c is a constant that has the value of 100.
so the variance is
σ^2 = Σ(x-c)^2/15 - (Σ(x-c)/15 )^2
= 499.6/15 - (72/15)^2
= 33.31 - 23.04
σ^2 = 10.27
Therefore the variance of the given problem is 10.27.
The difference between a number divided by 3 and 4 is 20.
- = 20
multiply by 12
4n - 3n = 12(20)
n = 240 is the number
and,
Aubrey has $120 to spend on a tennis racket and lessons.
The racket costs $45 and the lessons cost $15/hr.
How many hours of lessons can she afford?
hrs =
hrs = 5 hrs
Answer:
5,700
Step-by-step explanation:
<u>Answer:</u>
<u />
So, I don't know how other teachers taught you, but I have a trick.
<u>Step-by-step explanation:</u>
<u />
Step 1:
Solve 
= 34325898917194100000
Step 2:
Now put 34325898917194100000 under 1, like this:
<em>Note: Whenever you have a negative power, the result of the exponent will always be a fraction under 1.</em>
<em />
Step 3:
Add the negative:
becomes:
Your answer is
I hope this helps!
<h2><u>
PLEASE MARK BRAINLIEST!</u></h2>
A (42 degrees) bc the angles are across from each other so they’re equal
