Answer:
y = - 2
Step-by-step explanation:
Find slope
(-2 - (-2))/(0-2)
(-2 + 2)//(-2)
0/2
0 ---> slope
plug in ---> y=mx+b
y=0x+b
-2=0*0+b
-2=b
equation: y=0x-2, y=-2
Y = (3/4)x - 3
Use two of the ordered points to find the slope.
Then use the slope and one of the ordered pairs to find the y-intercept.
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:
We'll let x represent the number of weeks it will take to save enough money. If she saves $11 each week, then in x weeks she will save 11x dollars.
Add this to the 107 she has already saved, and at the end of 11 weeks she will have 11x + 107 dollars.
We want the amount saved to be equal to the price of the bike, so our equation is
11x + 107 = 173
In a word problem, writing the equation is usually the hardest part. Now we solve the equation.
Subtract 107 from both sides to get
11x = 66
Divide both sides by 11 to get
x = 6 weeks.