The probability that Boris will win the contest is:
P = 0.286
<h3>
How to get the probability?</h3>
For some given odds a:b, the probability is just computed as the quotient between a and b, which gives:
P = a/b
In this case, the odds are 2:7, so the probability that Boris will win the contest is:
P = 2/7 = 0.286
Written in percentage form, we get:
P = 28.6%
If you want to learn more about probability:
brainly.com/question/24756209
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As the picture highlights, the opposite sides have the same lengths. The perimeter is the sum of all lengths, so we have
Plug the required value for the perimeter and expand the right hand side:
Simplify the right hand side:
Add 36 to both sides:
Divide both sides by 12:
Now that we know the value for s, let's deduce the lengths of the sides:
Answer:
2
Step-by-step explanation:
Let S, M, L represent the shortest, mid-length, and longest sides, respectively. You are given three bits of information.
.. S +M +L = 14.5 cm
.. L = 2S
.. L = 6.2 cm
You can use an equation something like this to find the middle-length side.
.. (6.2 cm)/2 +M +6.2 cm = 14.5 cm
.. M +9.3 cm = 14.5 cm . . . . . . . . . . . . . constant terms collected
.. M = 5.2 cm . . . . . . . . . . . . . . . . . . . . . subtract 9.3 cm
Now, you know the side lengths are 3.1 cm, 5.2 cm, 6.2 cm.
_____
You have not offered any choices for "which equation," so take your pick of those used here.
Answer:
x = 30
Step-by-step explanation:
We can begin by subtracting 1/4x from each side so it results like this:
1/2x − 7 = 8
Then, we added 7 to both sides:
1/2x = 15
Lastly, we multiply both sides by 2:
x = 30
