Answer:
Step-by-step explanation:
Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"
For this case the generla equation for the circle is given by:
From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:
If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for 
So then 
And if we replace the second point we got this:
And for the third point we have:
And we got the same result.
So then our final equation is given:
If the value of the z-score is 1. Then the probability that a cat will weigh less than 11 pounds will be 0.84134.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weight of a cat is normally distributed with a mean of 9 pounds and a standard deviation of 2 pounds.
Then the probability that a cat will weigh less than 11 pounds will be
The value of z-score will be
z = (11 – 9) / 2
z = 1
Then the probability will be
P(x < 11) = P(z < 1)
P(x < 11) = 0.84134
Thus, the probability that a cat will weigh less than 11 pounds will be 0.84134.
More about the z-score link is given below.
brainly.com/question/15016913
#SPJ1
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) what is the measure of angle AFE
we know that
The measure of the interior angle is the semisum of the arches that comprise it and its opposite.
<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)
so
substitute the given values
Part 2) what is the measure of angle EFB?
we know that
---> by supplementary angles (form a linear pair)
so
substitute the given value
Answer:
4/6 of a pizza.
Step-by-step explanation:
We know that:
Both pizzas are of the same size.
Jasmine cut her's into 12 slices.
Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.
Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.
This means that:
X of a pizza + 2/6 of a pizza = 1 pizza
X + 2/6 = 1
X = 1 - 2/6
X = 6/6 - 2/6 = 4/6
Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.
Answer:
(2,0)
Step-by-step explanation:
Take the average of the two x-coordinates: (10-6)/2 = 2
Take the average of the two y-coordinates: (4+(-4))/2 = 0
Midpoint: (2,0)
