Hello,
If R(4,0) is the given point and m=5 the slope,
y-0=5(x-4)==>y=5x-20 is the reduced form
and 5x-y-20=0 is the standard form
Answer:
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 5 ml
Standard Deviation, σ = 0.4 ml
We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.
Formula:
P(paint cans contain less than 5.54 ml of the dye)
Calculation the value from standard normal z table, we have,
0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.
y = mx+b
(5-8)/(9-0) = -1/3 which is m
solve point slope to find slope intercept by using one of the points (0,8)
y-y1=m(x-x1)
y-8 = -1/3(x-0)
y-8 = -1/3x
Answer: y = -1/3x + 8
The value of x is more 90 because the angle is an obtuse and an obtuse is more than 90 degrees.
Answer:
a. C(x) = 24,000 + 100x
b. R(x) = 200x
c. Break-even point is 240 canoes
Step-by-step explanation:
a. Cost function is C(x) = FC + pcost * x
C(x) = 24,000 + 100x
Where
FC=Fixed cost = 24,000
pcost=costs to prod canoes = $100
x=produce quantity
b.Revenue function
R(x) = Px * x
R(x) = 200x
Where
Px=Price
x=produce quantity
c. Break-even point is the amount of canoes where revenue are the same as cost. We cover the total cost with the sales.
So, FC + pcost * x=Px * x
24,000 + 100x=200x
Isolating x
24,000 =200x- 100x
100x=24000
x=24,000/100
x=240
