<h3>
Answer: P(B) = 7/20</h3>
==========================================
Work Shown:
Given info
P(A) = 7/20
P(A∩B)=49/400
P(B) = unknown
--------------------
P(A∩B) = P(A)*P(B), assuming A and B are independent events
49/400 = (7/20)*P(B)
(7/20)*P(B) = 49/400
P(B) = (20/7)(49/400)
P(B) = (20*49)/(7*400)
P(B) = (20*7*7)/(7*20*20)
P(B) = 7/20
---------------------
Note how
P(A∩B) = P(A)*P(B)
P(A∩B) = (7/20)*(7/20)
P(A∩B) = (7*7)/(20*20)
P(A∩B) = 49/400
which helps to confirm the answer.
Answer:
x = 2
Step-by-step explanation:
Given that the measure of segment BC must equal the addition of the measure of segment BA plus the measure of segment AC, we can write this in equation form:
BC = BA + AC
then we replace them with the measure information they provide:
12 x + 4 = 7 x - 4 + 8 x + 2
and we solve for x in the equation:
12 x + 4 = 15 x - 2
subtract 12 x from both sides:
4 = 15 x - 12 x - 2
4 = 3 x - 2
add 2 on both sides
4 + 2 = 3 x
6 = 3 x
x = 6/3
x = 2
Answer:
1) 37.5%
2) 27.27%
Step-by-step explanation:
q1) Pct. Increase = (82500-60000) / 60000= 0.375
Pct increase = 0.375 x 100 = 37.5 percent
q2)
Pct decrease = (44000-32000)/44000 = 0.2727...
0.2727 x 100 = 27.27%
Answer:
6 2/3.. i think
Step-by-step explanation:
hopefully u understand my messy handwriting