Rafael spins the pointers of the two spinners shown at the right. Find the probability of each possible sum.
1 answer:
Answer:
P(sum 2)=1/6
P(sum 3)=1/3
P(sum 4)=1/3
P(sum 5)=1/6
Step-by-step explanation:
On the table, there are a a total of 6 outcomes.
- Number of sum that equals 2=1
- Number of sum that equals 3=2
- Number of sum that equals 4=2
- Number of sum that equals 5=1
Therefore:
P(sum 2)=1/6
P(sum 3)=2/6=1/3
P(sum 4)=2/6=1/3
P(sum 5)=1/6
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Answer:
see below
Step-by-step explanation:
To find the coordinates of the midpoints, add the x's and divide by 2 and add the y's and divide by 2.
The coordinates of D, the midpoint of AB, (1+3)/2 will be the x-coordinate and (4+0)/2 will be the y-coordinate.
D (2,2)
You could also see this on a graph, see image.
E, the midpoint of AC has the x-coordinate (1+-3)/2, which is -1 and y-coordinate (4+-2)/2 which is 1.
E is (-1,1)
Then we are able to calculate the slope of DE and BC.
To calculate slope, subtract the y's and put that on top of a fraction and subtract x's and put that on the bottom of a fraction. If the slopes are the same the segment are parallel.
Slope of DE:
(2-1)/(2--1)
= 1/3
Slope of BC:
(0--2)/(3--3)
=2/6
=1/3
The slopes of BC and DE are equal, so the segments are parallel.
(Alternatively, you could show that Triangle ABC and Triangle ADE are similar. Then find the segments parallel because corresponding angles are congruent.)
