Answer:
z = 1/5
Step-by-step explanation:
5 divided by 25 is 20 percent and in fractions its 1/5
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
Answer:
40%
Step-by-step explanation: If you have five equal-sized sectors, then the probability that the spinner will stop on 4 and 5 is 40%.
Answer:
If the slopes are different, there is one solution.
If the slopes the same but the y intercepts different, there is no solution.
If the slopes and y intercepts are the same, there are infinitely many solutions.
2x + y = 4
2y = 6 - 2x
Solve for y on both
y = 4 - 2x
y = 3 - x
They are both different, so there is one solution
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>x is side of right triangle with other sides:</u>
<u>Then x is:</u>
- x² = √20² - 4²
- x² = 4
- x = 2