Answer:
Step-by-step explanation:
We can see it on the given table of values.
Which method can you use to prove these triangles congruent?
2 answers:
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Solution:
Given a circle of center, A with radius, r (AB) = 6 units
Where, the area, A, of the shaded sector, ABC, is 9π
To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.
To find the area, A, of a sector, the formula is
Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.
To find the length of the arc, s, the formula is
Substitute the variables into the formula to find the length of an arc, s above
Hence, the length of the arc, s, is 3π units.
The game is not fair as 6 times the expected sum is less than the cost, $43.
In the question, we are asked if the game is fair.
For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,
6E(X) ≥ 43.
The expected sum for the pair, E(X) can be calculated using the formula,
E(X) = ∑x.p(x),
or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,
or, E(X) = 107/18.
Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.
Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.
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