A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa
1 answer:
Answer:
A)
B)
Step-by-step explanation:
A survey of 46 college athletes found that
- 24 played volleyball,
- 22 played basketball.
A) If we pick one athlete survey participant at random, the probability they play basketball is
B) If we pick 2 athletes at random (without replacement),
- the probability we get one volleyball player is
- the probability we get another basketball player is
(only 45 athletes left).
Thus, the probability we get one volleyball player and one basketball player is
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So for each unit they get $100, so if they sell "x" units, they intake 100x, that's just the gross income, and therefore the Revenue.
Now, they have a cost of 20x + 0.25x² if they "x" units, now, bearing in mind that if you pluck out the costs out of the incoming revenue, what's leftover, is a surplus amount, namely the Profit. Therefore, profit p(x) = revenue - costs, or 100x - (20x + 0.25x²), which is p(x) = -0.25x² +80x.
a)
now, what's the highest profit they can make? check the picture below.
b)
well, if a tax is imposed on them, and say, they take it out of the revenue, then their new revenue is not 100x, is 90x, thus
and you can use the same formula as above to get the x-coordinate for that vertex.
Now, they have a cost of 20x + 0.25x² if they "x" units, now, bearing in mind that if you pluck out the costs out of the incoming revenue, what's leftover, is a surplus amount, namely the Profit. Therefore, profit p(x) = revenue - costs, or 100x - (20x + 0.25x²), which is p(x) = -0.25x² +80x.
a)
now, what's the highest profit they can make? check the picture below.
b)
well, if a tax is imposed on them, and say, they take it out of the revenue, then their new revenue is not 100x, is 90x, thus
and you can use the same formula as above to get the x-coordinate for that vertex.
Answer:
Step-by-step explanation:
In any square with side length , the diagonal of the square is equal to
. Since the side length of this square is
, the diagonal is equal to
.
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states , where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
In this question, both legs are equal to , and we're solving for the diagonal, which is the hypotenuse in this case: