Answer:
<em>x</em><em>=</em><em>3</em><em>.</em><em>5</em><em> </em><em>y</em><em>=</em><em>8</em>
Step-by-step explanation:
Remeber, in a rectangle, opposite sides are equal so

and
a

Subsitue 2x+1 for y.





Plug this back in to one of the equations to find y.




So x=3.5
y=8
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:
w = 312
The step by step process of rearranging the equation to find w is as follows:
w / -8 = -39
Multiplying both sides by –8:
w / -8 x -8 = -39 x -8
w = 312
There are 4 dots either side of the dot above 14, so 14 is the middle value.
The median of the data set is 14.