8 seconds
The hardest part of this is setting up the equation -- the calculations are pretty easy.
You're told that the time (needed to go from 0 to 100 MPH) is inversely proportional to the horsepower: what this means is that as horsepower gets larger, time gets smaller. This makes sense since the more horsepower you have, the less time it will take you to get to 100 MPH
You can think of this as:
200 HP = 10 seconds
250 HP = x seconds
You set the equation up as:
250 HP / 200 HP = 10 sec / x sec
Now, just cross multiply and solve:
250 / 200 = 10 / x
250x = (200 x 10)
250x = 2000
x = 2000 / 250
x = 8
So, as you increase the horsepower from 200 to 250, the time decreases from 10 seconds to 8 seconds.
Hope this helps!
Good luck.
(<span>5a-5)(2a+2)
= 5a*2a -5*2a + 2*5a - 5*2
= 10a^2 - 10a + 10a - 10
= 10a^2 - 10
The product of the equation is </span>10a^2 - 10
Problem 1
Answer: Independent
The reason why is because each bag is separate from one another, so one event doesn't affect the other. If we know the result of what we pulled out of one bag, it doesn't change the probability of the other event.
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Problem 2
Answer: Dependent
Assuming you do not put the first card back, then the probability of picking a King on the second draw will be different than if you picked a King on the first draw. With all 52 cards in the deck, the probability of getting a king is 4/52 = 1/13. It changes to 4/51 after we picked out an ace for the first card (and didn't put that first card back).
Step-by-step explanation:
The answer is scalene triangle
9514 1404 393
Answer:
6/5
Step-by-step explanation:
The slope formula is useful for finding the slope.
m = (y2 -y1)/(x2 -x1)
m = (-1 -11)/(-5 -5) = -12/-10
m = 6/5
The slope of the line through the given points is 6/5.
