<em>Question:</em>
<em>The probability that a UCR undergraduate majors in Nursing is 0.15. The probability that a UCR undergraduate is a Junior is 0.20. The probability that a UCR undergraduate is a Junior or a Nursing major is 0.085. What is the probability that a UCR undergraduate is a Junior and a Nursing major?</em>
Answer:
![P(J\ and\ N) = 0.265](https://tex.z-dn.net/?f=P%28J%5C%20and%5C%20N%29%20%3D%200.265)
Step-by-step explanation:
Given
Represent Junior with J and Nursing Major with N.
So, we have:
![P(N) = 0.15](https://tex.z-dn.net/?f=P%28N%29%20%3D%200.15)
![P(J) = 0.20](https://tex.z-dn.net/?f=P%28J%29%20%3D%200.20)
![P(J\ or\ N) = 0.085](https://tex.z-dn.net/?f=P%28J%5C%20or%5C%20N%29%20%3D%200.085)
Required
Determine ![P(J\ and\ N)](https://tex.z-dn.net/?f=P%28J%5C%20and%5C%20N%29)
In probability, for events A and B
![P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)](https://tex.z-dn.net/?f=P%28A%5C%20and%5C%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%5C%20or%5C%20B%29)
In this case:
![P(J\ and\ N) = P(J) + P(N) - P(J\ or\ N)](https://tex.z-dn.net/?f=P%28J%5C%20and%5C%20N%29%20%3D%20P%28J%29%20%2B%20P%28N%29%20-%20P%28J%5C%20or%5C%20N%29)
Substitute values for P(J), P(N) and P(J or N)
![P(J\ and\ N) = 0.20 + 0.15 - 0.085](https://tex.z-dn.net/?f=P%28J%5C%20and%5C%20N%29%20%3D%200.20%20%2B%200.15%20-%200.085)
![P(J\ and\ N) = 0.265](https://tex.z-dn.net/?f=P%28J%5C%20and%5C%20N%29%20%3D%200.265)
<em>Hence, the probability that an undergraduate is a Junior and major in Nursing is 0.265</em>
(x+1)+(3x-5)=180
4x-4=180
4x=184
x=46
3(46)-5
138-5
133
mZ133*
Answer:
R = -2
Step-by-step explanation
-9, -3 is the first point.
A slope of 1/7 means that for every one unit that "rises" it will have a "run" of 7 units.
-9 - 7 = -2
-3 - 1 = -2 (r)
with a slope of 1/7, (-9, -3) connects to (-2, -2)
Pls mark me brainliest if right thank you
Answer:
Graph f(x)=1/4x-3. f(x)=14x−3 f ( x ) = 1 4 x - 3. Rewrite the function as an equation. y=x4−3 y = x 4 - 3. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps. ... Any line can be graphed using two points. Select two x ...
Step-by-step explanation:
Answer:
1. 80 yd
2. 10 and 10 of the other side
3. yes
Step-by-step explanation:
1. As we were asked to stay 240 feet away, and we will be on a soccer field and it has marked distances in yards we just have to pass our feet to yards.
1 ft = 1/3 yd
240 ft = 240/3 yd
240 ft = 80 yd
2. one would have to stand in yard 10 and the other in yard 10 but from the other side of the field
50-10 = 40
40 + 40 = 80 yd
3.
if they are diagonally the distance will be greater than 80, since the yards are parallel, because only the distance would remain only if they are on the same height