Answer:
a) 0.82
b) 0.18
Step-by-step explanation:
We are given that
P(F)=0.69
P(R)=0.42
P(F and R)=0.29.
a)
P(course has a final exam or a research paper)=P(F or R)=?
P(F or R)=P(F)+P(R)- P(F and R)
P(F or R)=0.69+0.42-0.29
P(F or R)=1.11-0.29
P(F or R)=0.82.
Thus, the the probability that a course has a final exam or a research paper is 0.82.
b)
P( NEITHER of two requirements)=P(F' and R')=?
According to De Morgan's law
P(A' and B')=[P(A or B)]'
P(A' and B')=1-P(A or B)
P(A' and B')=1-0.82
P(A' and B')=0.18
Thus, the probability that a course has NEITHER of these two requirements is 0.18.
Answer:
You have vertical asymptotes on x=-4,-2
Step-by-step explanation:
This question is very simple. Since you have a denominator all you need to do is factor the bottom and find the zeros. When you factor the bottom of the equation you should get (x+4)(x+2). Now you have to set the bottom equal to zero to find the zeros. This means (x+4)=0 and (x+2)=0 So you get two answers x=-4 and x=-2 Therefore your two vertical asymptotes are on x-4,-2
The answer to this question is D.
Answer: She bought 28 daises and 10 Tulips.
Step-by-step explanation:
Let x represent the number of daises bought.
Let y represent the number of tulips bought.
Your friend want to have 38 of her favorite flowers. This means that
x + y = 38
Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that
1.5x + 2.5y = 67 - - - - - - - - - - - - 1
Substituting x = 38 - y into equation 1, it becomes
1.5(38 - y) + 2.5y = 67
57 - 1.5y + 2.5y = 67
- 1.5y + 2.5y = 67 - 57
y = 10
x = 38 - y = 38 - 10
x = 28
A = L * W
A = 75
L = W + 10
75 = W(W + 10)
75 = W^2 + 10W
W^2 + 10W - 75 = 0
(W + 15)(W - 5) = 0
W + 15 = 0
W = -15...not this one because it is negative
W - 5 = 0
W = 5 <=== width is 5 ft
L = W + 10
L = 5 + 10
L = 15 <=== length is 15 ft
