Answer:
Option B. (x+3) ^2+(y+4)^2=25
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to

where
(h,k) is the center and r is the radius
step 1
Find the radius of the circle
Remember that the distance of the center and any point on the circle is equal to the radius of the circle
so
Find the distance between the points (-3,-4) and (0,0)
the formula to calculate the distance between two points is equal to

substitute




step 2
Find the equation of the circle

the center is the point (-3,-4) and the radius is r=5 units
substitute


The answer to the question is 1/27
<span>You are given the waiting times between a subway departure schedule and the arrival of a passenger that are uniformly distributed between 0 and 6 minutes. You are asked to find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Le us denote P as the probability that the randomly selected passenger has a waiting time greater than 3.25 minutes.
P = (length of the shaded region) x (height of the shaded region)
P = (6 - 3.25) * (0.167)
P = 2.75 * 0.167
P = 0.40915
P = 0.41</span><span />

Factor the denominators.

Adjust fractions based on LCM.

Denominators are same, so add the fractions.

Expand the numerator.
