If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
</span>
Answer:
y = 10
Step-by-step explanation:
<u>Since all sides are equal, that means all angles are 60 degrees. 60 + 60 + 60 = 180</u>
<u />
5y + 10 - 10 = 60 - 10
5y / 5 = 50 / 5
y = 10
Answer: y = 10
Answer:
D. F(x) = 1/(x +5)²
Step-by-step explanation:
The vertical asymptote at x=-5 tells you that x=-5 will be a zero of the denominator. The only equation with a denominator factor of (x+5) is ...
F(x) = 1/(x +5)²
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<em>Additional comment</em>
The fact that the value of F(x) does not change sign at the vertical asymptote tells you the denominator factor will be of even degree. That is taken for granted here, as all denominators are squares in the answer choices.
(1/40) - (1/x) = (1/60)
x = 1/(1/40) - (1/60)) =
<span>A.) 120</span> minutes
Its similar to the other question.
$20.70
Eighteen dollars
Fifteen percent of eighteen is 2.7
(.15 X 18)+18
