Answer:
P(Male or Type B) > P(Male | Type B)
Step-by-step explanation:
Total Female = 85 type A, 12 type B ⇒ 97 Female.
Total Male = 65 type A, 38 type B ⇒ 103 Male
Total type A = 65 + 85 = 150
Total type B = 12 + 38 = 50
total number of people = 97 + 103 = 200
Then the probability would be:
P(Male | Type B) = ![\frac{number of male in B}{total number of male}](https://tex.z-dn.net/?f=%5Cfrac%7Bnumber%20of%20male%20in%20B%7D%7Btotal%20number%20of%20male%7D)
= ![\frac{38}{103}](https://tex.z-dn.net/?f=%5Cfrac%7B38%7D%7B103%7D)
= 0.368
P(Male or Type B) = ![\frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}](https://tex.z-dn.net/?f=%5Cfrac%7Btotal%20number%20of%20male%20%2B%20%28total%20number%20of%20people%20in%20B%20-%20total%20number%20of%20male%20in%20B%29%7D%7Btotal%20number%20of%20male%7D)
= ![\frac{103 + (50 - 38)}{200}](https://tex.z-dn.net/?f=%5Cfrac%7B103%20%2B%20%2850%20-%2038%29%7D%7B200%7D)
= ![\frac{103 + 12}{200}](https://tex.z-dn.net/?f=%5Cfrac%7B103%20%2B%2012%7D%7B200%7D)
= ![\frac{115}{200}](https://tex.z-dn.net/?f=%5Cfrac%7B115%7D%7B200%7D)
= 0.575
Hence, P(Male or Type B) > P(Male | Type B)
Answer:
Step-by-step explanation:
Angles formed when we turn clockwise in the given directions,
a) N to E → 90°
b). W to NE → (90° + 45°) = 135°
c). SE to NW → 180°
d). NE to N → 360° - 45° = 315°
e). W to NE → 90° + 45° = 135°
f). S to SW → 45°
g). S to SE → 360° - 45° = 315°
h). SE to SW → 180°
i). E to SW → 90° + 45° = 135°
Answer:
Yes, C is correct.
Step-by-step explanation:
Answer:
x=9
Step-by-step explanation:
Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.
8x-27=45
8x=72
x=9