Divide both by 18.
<span>140/18=7.78 </span>
<span>So... $7.78 per foot</span>
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
The probability that a participant successfully catches 3 rainbow trout, given that the participant was a woman is 0.0042.
P(woman) = 12/28
= 3/7
P(men) = 16/28
= 4/7
P(3 trouts) = P(3 trout | women)*P(woman) + P(3 trout | men)*P(man)
= P(3 trout | women)*(3/7) + (15C3 * (0.09^3)*(1-0.09)^(15*3))*(4/7)
= P(3 trout | women)*(3/7) + (0.00476)*(4/7)
P(woman | 3 trout) = P(3 trout | women)*P(woman) / P(3 trouts)
{P(3 trout | women) = p}
p*(3/7) / (p*(3/7) + (0.00476)*(4/7)) = 0.40
p*(3/7)/0.40 = (p*(3/7) + (0.00476)*(4/7))
p*((3/7)/0.40 - (3/7)) = (0.00476)*(4/7)
p = [(0.00476)*(4/7)] / [((3/7)/0.40 - (3/7))]
= 0.0042
Learn more about probability here brainly.com/question/24756209
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50 mph for 3 hours = 150 miles
70mph for 2.5 hours = 140 + 35 = 175
175 miles - 150 miles = 25 miles
