Determine whether the ordered pairs (1,4) and 6,
1 answer:
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Answer:
(a) The value of <em>x</em> is 0.30.
(b) The probability that a reported case of rabies is not a raccoon is 0.45.
(c) The probability that a reported case of rabies is either a bat or a fox is 0.15.
Step-by-step explanation:
Denote the events as follows:
<em>R</em> = reported case of rabies is a raccoon
<em>F</em> = reported case of rabies is a fox
<em>B</em> = reported case of rabies is a bat
<em>O</em> = reported case of rabies is a some other animal.
The data provided is:
P (R) = 0.55
P (F) = 0.11
P (B) = 0.04
P (O) = <em>x</em>.
(a)
A property of a probability distribution is that the sum of all individual properties is 1.
That is,
Compute the value of <em>x</em> as follows:
Thus, the value of <em>x</em> is 0.30.
(b)
The probability of the complement of an event is the probability of its not happening.
Compute the probability that a reported case of rabies is not a raccoon as follows:
Thus, the probability that a reported case of rabies is not a raccoon is 0.45.
(c)
Compute the probability that a reported case of rabies is either a bat or a fox as follows:
Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.
Answer:
4 m
Step-by-step explanation:
The equation can be written ...
y = (x/4)² = (1/16)x²
where the divisor 4 is the horizontal scale factor that makes the parabola 8 m wide at y = 1 m.
This can also be written as ...
y = 1/(4p)x² = (1/16)x²
from which we can see ...
4p = 16
p = 4
In this form, p is the distance from the vertex to the focus, 4 meters.
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Another way to find the y-coordinate of the focus is to draw a line with slope 1/2 through the vertex. It will intersect the parabola at the point where the vertical distance to the directrix is the same as the horizontal distance to the focus. The y-coordinate of that point is the y-coordinate of the focus.
