Answer:
(a) The Venn diagram is attached below.
(b) The probability that neither university admits Ramon is 0.20.
(c) The probability that Ramon gets into Stanford but not Harvard 0.30.
Step-by-step explanation:
Let's denote the events as follows:
<em>H</em> = Ramon gets admitted to Harvard
<em>S</em> = Ramon gets admitted to Stanford.
The information provided is:
P (H) = 0.50
P (S) = 0.50
P (H ∩ S) = 0.20
(a)
The Venn diagram is attached below.
(b)
Compute the probability that Ramon gets admitted in neither Harvard nor Stanford as follows:
![P(H^{c}\cup S^{c})=1-P(H\cup S) \\= 1 - [P(H)+P(S)-P(H\cap S)]\\=1-[0.50+0.50-0.20]\\=1-0.80\\=0.20](https://tex.z-dn.net/?f=P%28H%5E%7Bc%7D%5Ccup%20S%5E%7Bc%7D%29%3D1-P%28H%5Ccup%20S%29%20%5C%5C%3D%201%20-%20%5BP%28H%29%2BP%28S%29-P%28H%5Ccap%20S%29%5D%5C%5C%3D1-%5B0.50%2B0.50-0.20%5D%5C%5C%3D1-0.80%5C%5C%3D0.20)
Thus, the probability that neither university admits Ramon is 0.20.
(c)
Compute the probability that Ramon gets admitted in Stanford but not in Harvard as follows:
Thus, the probability that Ramon gets into Stanford but not Harvard 0.30.
Answer:
Step-by-step explanation:
2) When x = 6
x - 2y = 8
6 - 2y = 8
-2y = 8 - 6
-2y = 2
y = 2/-2
y = -1
Yes, (6, -1) lies on the line.
3) No, (-2 , -3) is not on the line
4) (-2 , -3) is not a solution to this equation because it does not lie on the line.
sorry i cant help on that its tricky but try 8???
Answer:
26%
Step-by-step explanation:
The amount due is ...
A = P(1 +rt)
2500 = 2350(1 +r(90/360)) . . . . using ordinary interest
2500/2350 -1 = r/4
r = 12/47 ≈ 25.53% ≈ 26%
The rate of the loan is about 26%.
The surface area of a cylinder with circular bases of radius <em>r</em> and height <em>h</em> is equal to the sum of the areas of the two circular faces and the area of the rectangular lateral surface:
<em>A</em> = 2π<em>r</em>² + 2π<em>rh</em>
If you know the height <em>h</em>, then you can solve the quadratic equation for <em>r</em>.
