Answer:
40.18
Step-by-step explanation:
According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.
The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.
Mean = Σx/n
For the computation error:
Mean = 40
Let x represent the sun of other 98 values except 30 and 27
n = 100
40 = x + 30 + 27/100
40 = 57 + x/100
Cross multiply
4000 = 57 + x
x = 4000 - 57
x = 3943.
Sum of other 98 values = 3943.
Now, let's find the correct mean with correct values of 3 and 72;
Mean = Σx/n
Mean = 3943 + 3 + 72/100
Mean = 4018/100
Mean = 40.18
It’s a function
hope you have a good day
Answer:
The point is (7,0).
Step-by-step explanation:
The equation of a linear function in point-slope form is as follows :
...(1)
Where
(x₁,y₁) are the coordinates of the point which the line passes through it and (x,y).
Harold correctly wrote the equation y= 3(x–7)
or we can write it as :
y-0=3(x-7) ...(2)
Comparing equations (1) and (2), we get :
x₁ = 7 and y₁ = 0
So, the point is (7,0).
The correct option is (c).
They are inverses if f( (g(x)) = x
f((g(x)) = (1/2) (2x + 4) - 2 = x + 2 - 2 = x
so this proves that g(x) is the inverse of f(x)
the other inverse g((f(x)) should also be = x
Answer:
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