The mean of a dataset is the sum of all data elements divided by the count of the elements.
The location of the 6th score relative to the mean is 5 points below the mean
Let:
<em> Mean</em>
<em> 5 scores</em>
<em> 6th scores</em>
Given that:

The 5 scores that are 1 above the mean implies that:

The mean of a dataset is calculated using:

So, we have:


Open brackets

Multiply both sides by 6

Make b the subject


This means that the 6th score is 5 points below the mean
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Answer:
53
Step-by-step explanation:
plug in the number in place of the x.
Answer:
<em><u>10 cm</u></em>
Explanation:
Surface area of cube = 600 cm^2
Side of a cube = ?
Formula:
Total S.A of cube = 6 x (side of cube)^2
= 6 . x^2
600 cm2 = 6 . x^2
x^2 = 600 / 6
x^2 = 100
x = 10 cm
<em>The required side of a cube = 10 cm</em>
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 5 → (1)
7x - 5y = 2 → (2)
Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term
10x + 15y = 25 → (3)
21x - 15y = 6 → (4)
Add (3) and (4) term by term to eliminate y
31x = 31 ( divide both sides by 31 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(1) + 3y = 5
2 + 3y = 5 ( subtract 2 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Solution is (1, 1 )