Answer:
no solutions
Step-by-step explanation:
Given the 2 equations
y = - 7x + 8 → (1)
y = - 7x - 8 → (2)
Substitute y = - 7x - 8 into (1)
- 7x - 8 = - 7x + 8 ( add 8 to both sides )
- 7x = - 7x + 16 (add 7x to both sides )
0 = 16 ← not possible
This indicates the system has no solutions
An expression of more than 2 terms
Answer:
a. The probability is not equal to 1
b. P (A') = 0.70
c. P ( A U B ) = 0.80
d. P ( A' ∩ B' ) = 0.20
Step-by-step explanation:
a. Because these A and B are disjoint
b. since the probability of A is 0.30 then the probability of A compliment is
P(A compliment ) = 1 - P (A)
P(A compliment ) = 1-0.30
P(A compliment ) = 0.70
c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;
P ( A U B ) = P (A) + P(B) - P(A∩ B)
P ( A U B ) = 0.30 + 0.50 - 0
P ( A U B ) = 0.80
d. The inetrsection of compilments of A and B are:
by using De Morgan's Law we have,
P ( A' ∩ B' ) = P [(A U B )']
P ( A' ∩ B' ) = 1 - P ( A U B )
P ( A' ∩ B' ) = 1 - 0.80
P ( A' ∩ B' ) = 0.20
