Answer:
0.7558 = 75.58% probability this sale has occurred in Dallas
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Belt sold
Event B: Sold in Dallas.
Probability of belt being sold:
50% of 65%(made in Dallas)
30% of 100 - 65 = 35%(made in Phoenix). So
Sold in Dallas:
50% of 65%. So
What is the probability this sale has occurred in Dallas?
0.7558 = 75.58% probability this sale has occurred in Dallas
Answer:
a. 
b. 
Step-by-step explanation:
I attach the diagram of the new water tank.
a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures 
and its height is 
.
The volume ''V'' of a cylinder is :
Where ''
'' is the diameter of the base and ''
'' is the height of the cylinder.
If we replace all the data in the equation :
We found out that the volume of the tank in cubic feet is
b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.
This equivalence is given to us :
⇒ Using the equivalence ⇒
Finally, the new tank will hold of water.
2x - 6y + 3x² + 7y - 14y = 3x² + (2x - 14x) + (-6y + 7y) = 3x² - 12x + y
Answer:
y-3 = 4/7(x-7)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
We know the slope (4/7)
and a point (7,3)
Lets substitute into the equation
y-3 = 4/7(x-7)
