Answer:
x=4
Step-by-step explanation:
split the triangle into two and you will get another smaller triangle as shown in what I have drawn
so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it
so by Pythagoras theorem, 5^2= 3^2 + x^2
then you can solve for x
Answer:
(6,3)
Step-by-step explanation:
Two is two away from four and since it is on the left side, you add to get six as your x coordinate. The y coordinate stays the same.
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:
That point would now be half as close to the origin, so (2,-1).