Answer:
12
Step-by-step explanation:
Answer:

--- Variance
Step-by-step explanation:
Given

Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.

For 59 - 66

For 67 - 74

For 75 - 82

For 83 - 90

So, the table becomes:

The mean is then calculated as:



-- approximated
Solving (b): The sample variance:
This is calculated as:

So, we have:


-- approximated
Answer:
5(d - 2) = 45
Step-by-step explanation:
Solve the given equation for d
3(d + 1) = 4(d - 2) ← distribute parenthesis on both sides
3d + 3 = 4d - 8 ( subtract 3d from both sides )
3 = d - 8 ( add 8 to both sides )
11 = d
Then
5(d - 2) = 5(11 - 2) = 5(9) = 45
Answer:
75
Step-by-step explanation:
angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal