1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
2. The standard form for the equation of a circle is:
(x-h)</span>²+(y-k)²=r²
(h,k) is the center point.
r is the radius.
3. Keeping this on mind, you can find the value of the radius, as below:
r²=36
r=√36
r=6 m
4. Then, the diameter of the circle is:
D=2r
D=2(6m)
D=12 m
<span>
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>
The answer is: 12 m
Answer:
The right option is (C) (58 + 32)×4
Step-by-step explanation:
Total number of rooms = 4
Number of seats on left = 58 seats in each room
Number of seats on right = 32 seats in each room
Total number of seats in a room = 58 + 32 seats
Total number of seats in the movie theater = Number of rooms × Number of seats in each room
Total number of seats in the movie theater = 4 × (58 + 32) = 360 seats
Hence the right option is (C) (58 + 32)×4
Answer:
The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.
Step-by-step explanation:
We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.
If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.
The standard deviation of the sample is equal to:

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

Then, the probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is:

I believe it’s D bc I went over A and it doesn’t add up