Write the equation of a circle with a diameter having endpoints at (-2, 6) and (8,4). answer.
1 answer:
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ANSWER:
a. (1, 0)
b. (0, 1/6)
c. x = -2. x = 3
d. y = 0
e. The asymptotes have the form of a line and divide the function into 3 parts.
f.
g.
STEP-BY-STEP EXPLANATION:
We have the following function:
The graph corresponding to the function is the following:
We determine in each case what the statement asks for, like this:
a. the x-intercept(s):
b. the y-intercept:
c. the equation(s) of any vertical asymptote(s). The horizontal asymptotes are the values that x cannot take since the function would be discontinuous for those values.
In this case, since it is a rational function, it would be when the denominator is 0, therefore, we solve the following:
d. the equation of the horizontal asymptote. If the degree of the denominator is greater than that of the numerator, the horizontal asymptote is the x-axis, that is:
e. information about the behavior at the asymptote(s).
In this case the behavior of the asymptotes are straight lines that represent values that the function cannot take or cannot reach, divide the function into 3 parts.
f and g.
In this case, the domain is the interval of values that x can take and the range is the interval of values that y can take.
Therefore:
Answer:
a. mean = 1000
standard deviation = 4358.9
b. expected value of average damage bar Y = 1000
probability bar y exceeds 2000 = 0.011
Step-by-step explanation:
we have p1 = 95%, y1 = 0, p2 = 5%, y2 = 20000
Mean = (0.95 * 0) + (0.05 * 20000)
= 1000
var(y) = E(y²) - E(Y)²
= we solve for E(y)²
= 0²*0.95 + 20000²*0.05
= 0 + 20000000
then the variance of y = 20000000 - 1000²
=20000000-1000000
= $19000000
standard deviation is the square root of variance
= √19000000
= 4358.9
2.
a. Expected value of average is also the mean = 1000
b. we are to find probability that barY exceeds 2000
= 1000/435.889
= 2.29
1-p(z≤2.29)
= 1 - 0.989
= 0.011
so the probability that barY exceeds 2000 is 0.011