Answer:
(4,-3)
Step-by-step explanation:
If the line passes through a point, the coordinates of the point will verify the equation of the line.
So, let's see if each of the coordinates verifies the equation 3x - 2y = 6
A. (4,-3) means x=4 and y = -3
so 3x - 2y becomes 3(4) - 2(-3) = 12 - -6 = 12 + 6 = 18
B. (4/3, -1) means x = 4/3 and y = -1
so 3x - 2y becomes 3(4/3) - 2(-1) = 4 - -2 = 4 + 2 = 6
C. (-2,-6) means x= -2 and y = -6
so 3x - 2y becomes 3(-2) - 2(-6) = -6 - -12 = -6 + 12 = 6
Verified that the line passes by the last two points but not the first one.
Answer:
8
Step-by-step explanation:
Answer: 
Step-by-step explanation:
We know that the general form of the exponential decay formula is
, where y is final amount remaining after t time, A is the original amount and r is the rate of decay
Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. 
Hence, the ratio of remaining since the nuclear accident is
Problem 1
Answer: Closer to 1
Explanation:
There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.
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Problem 2
Answer: Closer to 0
Explanation:
The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50
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Problem 3
Answer: Closer to 0
Explanation:
We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50
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Problem 4
Answer: 48% chance; fairly likely
Explanation:
We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%
