Answer:
The most common units of distance In the metric system of measurement, are millimeters, centimeters, meters, and kilometers.
A six-sided number cube is tossed and a coin is flipped.The sample space is {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.Wha
aleksandr82 [10.1K]
Since you're already given the sample space, we can simply count how many outcomes satisfy the request, and divide that number by the cardinality of the sample space.
In other words, we're using the formula
So, the outcomes with a number higher than two are
3H, 4H, 5H, 6H, 3T, 4T, 5T, 6T
out of these outcomes, we can filter those with heads flipped:
3H, 4H, 5H, 6H
So, there are 4 cases out of 12, and the probability is thus
Answer:
y= -1/9(x-1)^2 +2
Step-by-step explanation:
The vertex is at (1,2) and another point is at (-2,1).
We know the vertex form of a parabola is
y= a(x-h)^2 +k where (h,k) is the vertex
Substituting the vertex in
y= a(x-1)^2 +2
We have another point, (-2,1)
Substitue this in with x=-2 and y =1. This will let us find a
1 = a(-2-1)^2 +2
1 = a (-3)^2 +2
1 = a*9 +2
Subtract 2 from each side
1-2 = 9a +2-2
-1 = 9a
Divide by 9
-1/9 = 9a/9
-1/9 =a
Putting this back into the equation
y= -1/9(x-1)^2 +2
Answer:
-7
Step-by-step explanation:
As x increases by 1, y decreases by 7, so the "rise"/"run" is ...
slope = rise/run = -7/1 = -7
The first is (x + 3, y + 2)
