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
Since the shape is a square the sides are equal. Then we need to find x such that x * x = 169.
Sqrt(169) = 13
So x = 13
Step-by-step explanation:
Just consider the inequalities an equal sign and do the usual way of solving:
8x - 6 > 12 + 2x
8x - 2x > 12 +6
6x > 18
x > 3
*The only rule that you need to remember is that when you multiply or divide a negative number on both sides, then the inequality sign would be reverse.*
Example:
-x + 3 > -2
-x > -2-3
-x > -5
Multiplying both sides by -1:
x < 5
Answer:
560 dinners
Step-by-step explanation:
First, find the amount of ounces by multiplying 350 pounds by 16 since every one pound is 16 ounces. 350×16=5600. That means there are 5600 ounces of meat. Therefore, to find the amount of steaks that can be served, divide 5600 divided by 10. 5600÷10=560.
