Answer:
AD = 27 units
Step-by-step explanation:
In the above question, we have a circumscribed Polygon, were circle XYZ is inside the polygon ABCD
We were given the following side
AB=21 units
BC=24 units
CD=30 units
Side AB = AW + BW
21 units = x + 21 - x
Side BC = BX + CX
BX = BW , hence BX = 21 - x
Side BC = 21 units
24 = 21 - x + CX
CX = 24 - (21 - x)
CX = 24 - 21 + x
CX = 3 + x
Side CD = CY + DY
Note that: CY = CX, hence, CY = 3 + x
Side CD = 30 units
30 = 3 + x + DY
DY = 30 - (3 + x)
DY = 30 - 3 - x
DY = 27 - x
Side AD = AZ + DZ
Note also that:
AZ = AW , hence AZ = x
DY = DZ , hence DZ = 27 - x
Side AD = x + 27 - x
Side AD = 27 units
Complete question is;
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?
Answer:
0.14 or 14%
Step-by-step explanation:
We are told that the probability that the comic book readers prefers comics published by company A is 25%.
Thus; P(A) = 25% = 0.25
Also, we are told that the probability that comic book reader is male 70%.
Thus; P(M_r) = 70% = 0.7
We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.
Thus; P(A|M_r) = 40% = 0.4
To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.
Thus;
P(M_r|A) = [P(A|M_r) × P(A)]/P(M)
P(M_r|A) = (0.4 × 0.25)/0.7
P(M_r|A) ≈ 0.14
Answer:
B. 467
A yellow ball will be selected about 467 times.
Answer:
A.) 10 years old
Step-by-step explanation:
Sam: John - 14
S = J - 14
S x J = 240
10 = J - 14
0 = J - 14 - 10
-J = -24
J = 24
10 x 24 = 240
Answer: =(x - 1) x (x^2 + x + 1)