Answer:
<u>The number is 125 and the equation is 0.8x = 100</u>
Step-by-step explanation:
80% of x is equal to 100.
Write an equation that shows the relationship of 80%, x, and 100
80% = 0.8
0.8x = 100
x = 100/0.8
x = 125
<u>The number is 125 and the equation is 0.8x = 100</u>
I am pretty sure it is 7985.5
Answer:
3 * 3 3/5
Step-by-step explanation:
If you are adding 3 3/5 three times, than you can multiply 3 3/5 to get the same answer, just faster.
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.
Answer:
Extra snow needed > 0. 3 inch
Step-by-step explanation:
Given that:
Cancelation occurs when > 2.5 inch of snow accumulates each hour
Accumulation rate = 11/5 inch per hour
Extra snow Accumulation needed to cancel. School ;
Extra snow needed > cancelation volume - current rate
Extra snow needed > (2.5 - 11/5)
Extra snow needed > 0. 3 inch
