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2 answers:
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The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
<h3>What is the equation of the circle of radius r units, centered at (x,y) ?</h3>If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
For this case, the equation of the circle that models tha circular area considered is:
Writing this in standard form and comparing it with the standard equation, we get:
(didn't took (-4)² = 16 since radius cannot be negative).
Thus, we get center's coordinate as (9,-11) and radius of 4
The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.
Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
Learn more about equation of a circle here:
Answer:
Probability that one or more people in Arbalest got a cold is 0.9987.
Step-by-step explanation:
We are given that according to a report, 11 people got colds for every 2000 people.
There are 1200 people in the town of Arbalest.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 1200 people
r = number of success = one or more people got a cold
p = probability of success which in our question is probability
that people got colds, i.e; p = = 0.55%
Let X = <u><em>Number of people in Arbalest who got a cold</em></u>
So, X ~ Binom(n = 1200 , p = 0.0055)
Now, Probability that one or more people in Arbalest got a cold is given by = P(X 1)
P(X 1) = 1 - P(X = 0)
=
=
= 0.9987 or 99.87%
Hence, the required probability is 99.87%.