Since x represents the year, year 15 will be 15 years.
Plug in "15" as your "x"
y = -2(15)^2 + 36(15) + 6
15^2 = 225 (Exponents come before multiplication)
y = -2(225) + 36(15) + 6
y = -450 + 540 + 6
y = 90 + 6
y = 96
<em>The answer is B</em>
Answer:
0.7 ; 0.65 ; 0.115
Step-by-step explanation:
Step-by-step explanation:
P(A) = 0.5 ; P(B) = 0.3
P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5
1.)
Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.
Probability that European project isn't successful;
P(B') = 1 - P(B) = 1 - 0.3 = 0.7
2.)
Probability that atleast one of the 2 projects is successful :
P(AUB) = P(A) + P(B) - P(AnB)
P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15
P(AUB) = 0.5 + 0.3 - 0.15 = 0.65
3.)
Probability that only the Asian project is successful, given that atleast one of the two projects is successful :
[P(A) - P(AnB)] ÷ P(AuB)
[0.5 * 0.15] ÷ 0.65
= 0.075 ÷ 0.65
= 0.1153846
= 0.115
Answer:
12 for 40 cents is a better deal.
Step-by-step explanation: 35divided by 10 is 3.5 and 12 divided by 40 is 3.333... therefore for just one card it is cheaper but you are getting more cards anyways.
Answer:
-48.9582
Step-by-step explanation:
Negative times a positive is negative.
Answer:
Step-by-step explanation:
a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...
CD/BE = CA/BA
CD/3.8 = 12.3/8.2
CD = 3.8×12.3/8.2 = 5.7 . . . . cm
__
b) As above, the ratios of corresponding sides are the same.
ED/AD = BC/AC
ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB
ED = 9.15×4.1/12.3 = 3.05 . . . . cm