Answer:
E(X) = 1.28
Var(X) = 0.6016
E(X | Y=2) = 1.6667
Var(X | Y=2) = 0.4272
Step-by-step explanation:
Answer:
Sales of 35 leather wallets will give profit of $192.5
Step-by-step explanation:
If sales of 20 leather wallet gives $110
Sales of 35 leather wallet gives x
Cross multiply
20x = 110 x 35
20x = 3850
Divide both sides by 20
x = 3850/20
x = $192.5
Answer:
The y intercept is -1
Step-by-step explanation:
y-14=6(x-2.5)
We need to get the equation in the form y = mx+b where b is the y intercept
Distribut the 6
y-14 = 6x -15
Add 14 to each side
y-14+14 = 6x-15+14
y = 6x-1
The y - intercept is -1
Let x = number of years between 1990 and 2000.
Rainbow smelt:
Initial population = 227
Average yearly rate of change = -19.76
The linear function that models the population is
y₁ = 227 - 19.76x
Bloater fish
Initial population = 1052
Average yearly rate of change = -92.57
The linear function that models the population is
y₂ = 1052 - 92.57x
When the two populations are equal, then y₁ = y₂.
That is
227 - 19.76x = 1052 - 92.57x
(92.57 - 19.76)x = 1052 - 227
72.81x = 825
x = 11.33 years
= 11 years, 0.33*12 months
= 11 years, 4 months
Add x to 1990 to obtain the year April 2011.
Answer:
x = 11.33 years.
This occurs in April 2001.
