As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies
Answer:
3.Mean 15.4, Median: 13, Mode: None, Range 16
Step-by-step explanation:
Answer:
-5/6
Step-by-step explanation:
Well that would be -1/6+(-4/6) which is actually -1/6-4/6 which -5/6
Hope this helps :D Please mark brainliest if correct
You need to rise divided by the run. Another way to put it is
m = (y2 - y1)/(x2 - x1)
Take your points and plug them in
m = (2 - 9)/(-5 - 3) = (-7)/(-8) = 7/8 is the slope
We want to get the expected value for the given experiment. We will see that the expected value is $2.33
For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have 3 outcomes:
- x₁ = winning $8
- x₂ = winning $2
- x₃ = winning $0.
For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:
p₁ = 1/6
For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:
p₂ = 3/6
For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:
p₃ = 2/6
Then the expected value is:
EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33
If you want to learn more about expected values, you can read:
brainly.com/question/15858152
