The theoretical answer for the following question provided above would be found if you study
Answer:
A 76
Step-by-step explanation:
7x+8+7x-2+5x+16+110=360
19x+132=360
19x=228
x=12
∠E=5(12)+16
=76
Answer:
Step-by-step explanation:
Start box
180 = 89+42+x
180-89-42=x
49 = x
2nd box
180 = 84+58+x
180-84-58=x
38 = x
3rd box
180=74+2x
180-74=2x
106/2 = x
53 = x
4th box
180=102+2x
180-102=2x
78/2 = x
39 = x
4th box
180 = 73+81 +x
180-73-81=x
26 = x
5th box
180=2*54+x
180 - 2*54 = x
72 = x
6th box
180=62-2x
180-62=2x
118=2x
118/2=x
59 = x
7th box
180 = 2*68 + x
180-2*68=x
44 = x
a. By definition of conditional probability,
P(C | D) = P(C and D) / P(D) ==> P(C and D) = 0.3
b. C and D are mutually exclusive if P(C and D) = 0, but this is clearly not the case, so no.
c. C and D are independent if P(C and D) = P(C) P(D). But P(C) P(D) = 0.2 ≠ 0.3, so no.
d. Using the inclusion/exclusion principle, we have
P(C or D) = P(C) + P(D) - P(C and D) ==> P(C or D) = 0.6
e. Using the definition of conditional probability again, we have
P(D | C) = P(C and D) / P(C) ==> P(D | C) = 0.75
Answer:
Step-by-step explanation:
45/19 ~ 2.4
Hope that helps!