Answer:
9
Step-by-step explanation:
-15 - -14y = -9
two negatives (close together) makes a positive
-15y + 14y = -9
add like terms
-1y = -9
get y alone (divide whats in front of it) and do the same on the other side
-1y/-1 = -9/-1
if you divide two negatives it makes it positive so youll get 9
Answer:
It is (D)
number of seeds planted per square foot
ED2021
Answer:
D
12²
Step-by-step explanation:
Given in the question, an integer = 144
To find the exponential form 144 we will do factorisation
The prime factorisation of 144 is
2 × 2 × 2 × 2 × 3 × 3
So the exponential form is 2
× 3²
The other way is
√144 = 12
which means
12² = 144
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.
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