Answer:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41
Step-by-step explanation:
Let X the random variable of interest "the bid offered" and we know that the distribution for this random variable is given by:
If your offer is accepted is because your bid is higher than the others. And we want to find the following probability:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41
Answer:
Step-by-step explanation:
find the perpendicular bisector of a line segment with endpoints
(ii) Find a point on the perpendicular bisector (the midpoint of the given line segment) using the midpoint formula:
(
x
3
,
y
3
)
=
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
I hate rounding.
Let's call the diagonal x. It's the hypotenuse of the right triangle whose legs are the rectangle sides.
According to the problem we have a length x-4 and a width x-5 and an area
82 = (x-4)(x-5)
82 = x^2 - 9x + 20
0 = x^2 - 9x - 62
That one doesn't seem to factor so we go to the quadratic formula
Only the positive value makes any sense for this problem, so we conclude
That's the exact answer. Did I mention I hate rounding? That's about
x = 13.6 meters
Answer: 13.6
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It's not clear to me this problem is consistent. By the Pythagorean Theorem the diagonal satisfies
which works out to
That's not consistent with the first answer; this problem really has no solution. Tell your teacher to get better material.
Since this is a linear function, filling in the minimum and maximum of the domain is sufficient.
f(-4) = -16 + 9 = -7
f(2)= 8 + 9 = 17
So the range of the function (given the domain) :
R = {-7, 17}
