Answer:
Step-by-step explanation:
If you plot these points on a coordinate plane, you will see that they both lie on the same horiztonal line, y = -10, with the focus 1/4 to the right of the vertex. This information tells you a ton of stuff. First, it tells you that, since a parabola "hugs" the focus, this parabola opens to the right and is of the form x = y-squared. This equation is
The information also tells us that p (the distance between the vertex and the focus) is .25. h is the "x" coordinate of the vertex and k is the "y" coordinate of the vertex, so h = -1, and k = -10. Filling in our formula:
Simplify the left to
and solve for x:
Answer:
about 0.254
Step-by-step explanation:
The light is red for 0.3 of the period, so that is the probability one car is stopped. Probability 3 cars are stopped and 5 are not is 0.3^3·0.7^5, about 0.004538. In the group of 8 cars, there are 56 different ways 3 of the cars can be stopped, so your overall probability could be 56·0.004538 ≈ 0.254.
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<em>Comment on the question</em>
Many factors go into a driver's decision to stop at a light. Many factors go into the distribution of arrival times at a light. Here, the problem is only tractable if we assume that cars arrive at the light individually and at random times with respect to the light's fixed 50-second cycle. (This is possibly the case only early in the morning hours when traffic is at its lightest (not associated with bar closings or night shift changes).)
Answer:
11
Step-by-step explanation:
Answer:
:) here
Step-by-step explanation:
x
=
−
4
or
x
=
22
3
$19.50 multiplied by 12 is $234 and $6 multiplied by 12 is 60 so 234 dollars plus 60 dollars equals $294 dollars
