Part (a)
P(A) = 0.5
P(B) = 0.4
P(B/A) = 0.6
P(A and B) = P(A)*P(B/A)
P(A and B) = 0.5*0.6
P(A and B) = 0.3
<h3>Answer: 0.3</h3>
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Part (b)
We'll use the result from part (a)
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.5 + 0.4 - 0.3
P(A or B) = 0.6
<h3>Answer: 0.6</h3>
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Part (c)
A and B are not independent since P(B) does not equal P(B/A). The fact that event A happens changes the probability P(B). Recall that P(B/A) means "probability P(B) based on event A already happened". A and B are independent if P(B) = P(B/A).
Events A and B are not mutually exclusive since P(A or B) is not zero.
<h3>Answer: Neither</h3>
To answer this question you will need to know how many inches the car travels Per minute.
1. To find this out you will first divide 45 miles by 60 to get the number of miles per minute.
The convertible travels 0.75 mi./min.
2. Next you will convert this number of miles to inches.
There are 63,360 inches per mile.
0.75 x 63360 = 47520 inches per minute.
3. You then need to find the distance the wheel travels in one rotation. You will need to find the circumference of the wheel.
C = pi x d
3.14 x 48
C = 150.72 inches
Each rotation is about 150.72 inches.
4. Finally, divide the total distance traveled in a minute by the circumference(distance of one rotation) to get the total number of rotations in a minute.
47520/150.72 is about 315.3 rotations per minute.
Answer:
ur answer
hope u will finish it fast
Answer: 115, 2645
(x= 115, y= 2645)
Step-by-step explanation:
There are two methods to this, which is using the graph with each x and y value, or substituting in values.
I would suggest looking at the graph first and then substituting values so you know the equation is being satisfied by the ordered pair.
In this case, one way to check it could look like this (substituting y value):
y = 23x
2645 = 23x
x = 2645÷23
x = 115
Answer:
x= -11
Step-by-step explanation:
