Answer:
The fraction of males who are smokers = 10/500 = 1/50
The fraction of females who are smokers = 40/403
The probability that both are smokers is the product of these two:
P(both) = (1/50)*(40/403) = (4/5)*(1/403)
<h2>
Answer:</h2>
Choice B, 46°
<h3>
Step-by-step explanation:</h3>
Knowing that minor arc UV, is 38°, and that both arcs, UV and XY are connected to the angle of 42° from point Z, you would do the inverse of what was done at minor arc UV.
Since arc UV was an arc of 38°, with the angle m∠UZV being 42°, there was a 4° reduction in the angle.
Because arc XY, is similar to arc UV, you'll simply add 4° this time to 42°.
<u><em>42° + 4° = 46° (Choice B)</em></u><em> </em>
A) f + s + t = 148
B) f + 10 = s
C) t = 4 * f
Substituting C) into A)
A) f + s + 4f = 148
Substituting B) into A)
A) f + f + 10 + 4f = 148
A) 6f = 138
f = 23
B) f + 10 = s
s = 33
t = 4 * 23
t = 92
23 + 33 + 92 = 148