Answer:
For 2017 Season:
Mean = 75
Standard deviation = 2.07
For 2018 Season:
Mean = 75
Standard deviation = 5.26
Step-by-step explanation:
The following formulas will be used in these calculations:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 8
x = each value
For 2017 Season
Mean = (73 + 77 + 78 + 76 + 74 + 72 + 74 + 76) / 8 = 600 / 8 = 75
Variance = ((73-75)^2 + (77-75)^2 + (78-75)^2 + (76-75)^2 + (74-75)^2 + (72-75)^2 + (74-75)^2 + (76-75)^2) / (8-1) = 30 / 7 = 4.29
Standard deviation = Variance^0.50 = 4.29^0.5 = 2.07
For 2018 Season
Mean = (70 + 69 + 74 + 76 + 84 + 79 + 70 + 78) / 8 = 75
Variance = ((70-75)^2 + (69-75)^2 + (74-75)^2 + (76-75)^2 + (84-75)^2 + (79-75)^2 + (70-75)^2 + (78-75)^2) / (8-1) = 194 / 7 = 27.71
Standard deviation = Variance^0.50 = 27.71^0.5 = 5.26
Answer:
y=-3x-2
Step-by-step explanation:
step 1- find the slope
parallel to means same slope, so look at y+3x=4, its not in the correct slope form so we subtract both sides by 3x to get y=-3x+4, the slope is the coefficient of x which is -3. Slope equals 3
step 2- use the point slope form which is y-y1=m(x-x1)
and substitute in the numbers (only substitute y1,x1, and m)
m is the slope which we found to equal -3
x1 and y1 are the points that they gave us (-2,4) are (x1,y1)
x1=-2
y1=4
step 3- substitute
y-y1=m(x-x1)
y-4=-3(x-(-2))
simplifies to y-4=-3x-6
add 4 to both sides to get y=-3x-2
