Answer: Choice A) y = 2x
slope = 2, y intercept = 0
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Explanation:
We can see this by noting that each y coordinate is simply doubled that of the x coordinate.
- x = 1 doubles to y = 2
- x = 2 doubles to y = 4
So in general, x doubles to 2x to get the y coordinate. Therefore, y = 2x.
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Alternative method:
A more thorough step by step process would have us first finding the slope
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - 1)
m = 2/1
m = 2 is the slope
Use this slope value along with one of the points to find b. I'll use the point (x,y) = (1,2)
So,
y = mx+b
2 = 2*1+b
2 = 2+b
2-2 = b
0 = b
b = 0 is the y intercept
We go from y = mx+b to y = 2x+0, which simplifies to y = 2x
Step-by-step explanation:
I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).
tricky, your teacher.
I think the temptation is to simply say 1/3×1/3 = 1/9.
but is it ?
the probabilty to draw one blue ball out of the complete system (no ball missing) is
x / (6+4+x) = 1/3
x = (6+4+x)/3
3x = 6 + 4 + x = 10 + x
2x = 10
x = 5
so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .
the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.
but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).
and so the probability to draw a blue ball out of this is
4/14 = 2/7.
therefore, the probability to draw 2 blue balls is now the combination
1/3 × 2/7 = 2/21
aha ! so, it is a little bit less than the originally suspected probability of 1/9.
Given statement is False, if a light cost $3, it could be either Green or Yellow.
Converse: If the light bulb was Yellow, then the cost was $3 = True
Contrapositive makes both statements negative and switches the order of the original statement.
So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.
Inverse makes both statements negative but keeps the same order.
Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.
The cube root of 3 is 1.44224957031
