Anyone know how to answer this question
1 answer:
9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
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Answer:
Probability that their mean is above 215 is 0.0287.
Step-by-step explanation:
We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.
For this, 40 different applicants are randomly selected.
<em>Let X = ratings for credit</em>
So, X ~ N()
Now, the z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean = 200
= standard deviation = 50
= sample mean
n = sample of applicants = 40
So, probability that their mean is above 215 is given by = P( > 215)
P( > 215) = P(
>
) = P(Z > 1.897) = 1 - P(Z
1.897)
= 1 - 0.97108 = 0.0287
Therefore, probability that their mean is above 215 is 0.0287.
Answer:
B.
Step-by-step explanation:
In the attached file
