Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3
Std dev = square root of variance = 0.9
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b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
Pair 1: slope = (9 - 5)/(8+4) = 1/3
midpoint = ((-4+8)/2, (5+9)/2) = (2, 7)
perpendicular bisector passes through point (2, 7) with slope = -1/(1/3) = -3 giving the equation (y - 7)/(x - 2) = -3 or y - 7 = -3(x - 2) or y = -3x + 13 and y-intercept at y = 13.
Pair 2: slope = (6 - 4)/(-8-2) = -1/5
midpoint = ((2-8)/2, (4+6)/2) = (-3, 5)
perpendicular
bisector passes through point (-3, 5) with slope = -1/(-1/5) = 5 giving
the equation (y - 5)/(x + 3) = 5 or y - 5 = 5(x + 3) or y = 5x + 20
and y-intercept at y = 20.
Pair 3: slope = (2 - 4)/(7 - 5) = -1
midpoint = ((5+7)/2, (4+2)/2) = (6, 3)
perpendicular
bisector passes through point (6, 3) with slope = -1/(-1) = 1 giving
the equation (y - 3)/(x - 6) = 1 or y - 3 = (x - 6) or y = x - 3
and y-intercept at y = -3.
Pair 4: slope = (3 - 9)/(-4 - 2) = 1
midpoint = ((2-4)/2, (9+3)/2) = (-1, 6)
perpendicular
bisector passes through point (-1, 6) with slope = -1(1) = -1 giving
the equation (y - 6)/(x + 1) = -1 or y - 6 = -1(x + 1) or y = -x + 5
and y-intercept at y = 5.
Pair 5: slope = (-12 + 2)/(9 - 3) = -5/3
midpoint = ((3+9)/2, (-2-12)/2) = (6, -7)
perpendicular
bisector passes through point (6, -7) with slope = -1(-5/3) = 3/5 giving
the equation (y + 7)/(x - 6) = 3/5 or 5(y + 7) = 3(x - 6) or 5y = 3x - 53
and y-intercept at y = -10.6.
Pair 6: slope = (12 - 10)/(8 - 4) = 1/2
midpoint = ((4+8)/2, (10+12)/2) = (6, 11)
perpendicular
bisector passes through point (6, 11) with slope = -1(1/2) = -2 giving
the equation (y - 11)/(x - 6) = -2 or y - 11 = -2(x - 6) or y = -2x + 23
and y-intercept at y = 23.
Arrangement in order of y-intercepts from smallest to largest
a(3, -2) and b(9, -12)
a(5, 4) and b(7, 2)
a(2, 9) and b(-4, 3)
a(-4, 5) and b(8, 9)
a(2, 4) and b(-8, 6)
a(4, 10) and b(8, 12)
Answer: Total amount the stadium would clear for all of these events combined is $1750000
Step-by-step explanation:
Since we have given that
Number of major recording acts are able to play at the stadium = 10
Average profit margin for a concert = $175000
We need to find the amount that the stadium clear for all of these events combined
As we know the formula for "Average"
Hence, total amount the stadium would clear for all of these events combined is $1750000.
If a company changes from full-cost pricing to variable cost pricing but retains the same markup percentage, their net income will likely increase. Although variable cost pricing is risky since the price will be dependent on the other factors of the product.
Answer:
yes
Step-by-step explanation:
what you did ias correrct
