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Mathematics

1 answer:

cestrela7 [59]4 years ago

7 0

It's A, because it's what one X equals rather than two.

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The two points (2,4) and (9,4) are the endpoints of the diameter of a circle. What is the equation of this circle in standard fo

denis23 [38]

The midpoint of the diameter endpoints is the center of the circle...

((2+9)/2, (4+4)/2)

(5.5, 4) is the center of the circle...

The distance between the two endpoints is the diameter of the circle...

d^2=(4-4)^2+(9-2)^2

d^2=0+49

d^2=49

d=7

So the radius is d/2 which is 3.5

Now the equation of a circle is:

(x-h)^2+(y-k)^2=r^2 where (h,k) is the coordinates of the center and r is the radius.

Earlier we found (h,k) to be (5.5, 4) and r=3.5 so our equation is:

(x-5.5)^2+(y-4)^2=3.5^2

(x-5.5)^2+(y-4)^2=12.25

4 0

3 years ago

) Explain why the sample midrange might be preferred to the sample mean as an estimator of the population mean.

Citrus2011 [14]

Answer:

It is a good Estimator of the Population Mean because the distribution of the sample midrange is just same as the distribution of the random variable.

Step-by-step explanation: from the table,

Minimum value = 34

maximum values = 1084

The sample mid-range can be computed as:

(Min.value + max.value)/2

(34 + 1084)/2

Sample mid-range = 55

The sample midrange uses only a small portion of the data, but can be heavily affected by outliers.

It provides information about the skewness and heavy-tailedness of the distribution which is just same as the distribution of the random variable.

The nature of this distribution is not intuitive but the Central Limit in which it will approach a normal distribution for large sample size.