Meghan tried to convince her class mate Fiona that 2x+3=10 represents a expression. Fiona disagrees and thinks that it represent
1 answer:
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Your set is 2, 5 and 8.
In order to calculate the standard deviation, first, you need to calculate the mean of the scores:
m = (2 + 5 + 8) / 3
= 15 / 3
= 5
Then, find the variance: subtract the mean from each value, square the results, sum them up and divide it by the number of scores.
(2 - 5)² = 9
(5 - 5)² = 0
(8 - 5)² = 9
Therefore:
v = (9 + 0 + 9) / 3
= 18 / 3
= 6
The standard deviation is the square root of the variance:
σ = √6
= 2.45
In conclusion, the standard deviation can be calculated by the formula:
In order to calculate the standard deviation, first, you need to calculate the mean of the scores:
m = (2 + 5 + 8) / 3
= 15 / 3
= 5
Then, find the variance: subtract the mean from each value, square the results, sum them up and divide it by the number of scores.
(2 - 5)² = 9
(5 - 5)² = 0
(8 - 5)² = 9
Therefore:
v = (9 + 0 + 9) / 3
= 18 / 3
= 6
The standard deviation is the square root of the variance:
σ = √6
= 2.45
In conclusion, the standard deviation can be calculated by the formula:
Answer:
2x - 3y = 18
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x - 3y = - 3 into this form by subtracting 2x from both sides
- 3y = - 2x - 3 ( divide all terms by - 3 )
y = x + 1 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
Given the y- intercept = 6, then
y = x + 6 ← equation in slope- intercept form
Multiply through by 3
3y = 2x + 18 ( subtract 3y from both sides )
0 = 2x - 3y + 18 ( subtract 18 from both sides )
2x - 3y = - 18 ← equation in standard form