Answer:
2000
Step-by-step explanation:
Getting two heads in a row does not change the probability of getting a tail. There is a 50/50 chance for both heads and tails each time you flip a coin, because there are two possibilities each equally possible. The 50% probability of getting a tails is not a guarantee. It's possible to get more heads than tails, or vice versa. What the probability means is that on average the results are about equal, and you have an equal likelihood of getting either result.
Mythbusters has an episode on this, actually. They explain it really well. I recommend you watch it.
Answer:
decreasing at 390 miles per hour
Step-by-step explanation:
Airplane A's distance in miles to the airport can be written as ...
a = 30 -250t . . . . . where t is in hours
Likewise, airplane B's distance to the airport can be written as ...
b = 40 -300t
The distance (d) between the airplanes can be found using the Pythagorean theorem:
d^2 = a^2 + b^2
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
d' = (a·a' +b·b')/d
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To find a numerical value of this, we need to find the values of its variables at t=0.
a = 30 -250·0 = 30
a' = -250
b = 40 -300·0 = 40
b' = -300
d = √(a²+b²) = √(900+1600) = 50
Then ...
d' = (30(-250) +40(-300))/50 = -19500/50 = -390
The distance between the airplanes is decreasing at 390 miles per hour.
Answer:
He need to earn 32 points on part 2.
unknown value of what mate