Answer:
Option A: 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) = 
= 
= 0.368
P(Male or Type B) = 
= 
= 
= 
= 0.575
Hence, P(Male or Type B) > P(Male | Type B)
Answer:
Step-by-step explanation:
The absolute value of a number is how far away it is from 0 on the number line. Even though 
is a negative number, the absolute value wouldn't be , because distance can't be negative. Hence the absolute value of is .
Answer:
12.68°
Step-by-step explanation:
We know all three sides (18, 80, 82), but we only need two: 18, and 82. Why? What we do here is find the arcsin of the first leg divided by the hypotenuse.
arcsin(18/82)
<em>18/82 is the same as 9/41, which equals 0.21951 repeating (all 5 digits after the decimal are repeating, by the way).</em>
arcsin(0.21951)
<em>What you see above this statement equals 0.22131 radians.</em>
0.22131 rad
<em>To convert this to degrees, multiply by 57.2957795.</em>
0.22131 * 57.2957795
<em>0.22131 times 57.2957795 is 12.680128961145.</em>
12.680128961145°
<em>The directions say the final answer has to be two decimal places. So this becomes 12.68 (0 is less than 5, so round down).</em>
12.68°
Angle A is 12.68°.
I'm not 100% sure, as we don't do this at school here, but I think its :
1) 3 units right, 2 units down
2) (x, y) > (x-12, y+3)
3) (x, y) > (x+9, y-8)
