Answer:
The photographer will take 80 pictures in 10 minutes
Step-by-step explanation:
if 64 pictures were taken in 8 minutes that's 8 pictures every minute, with that knowledge 8 pictures in 10 minutes would be 80 pictures.
Answer:
4 + 10x^2
Step-by-step explanation:
–2 (–2 – 5x^2)
Distribute
-2 *-2 -2*-5x^2
4 + 10x^2
Answer:
![(x-15)^2+(y-30)^2=36](https://tex.z-dn.net/?f=%28x-15%29%5E2%2B%28y-30%29%5E2%3D36)
Step-by-step explanation:
we know that
The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet
The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units
therefore
If the radius of the circular flower garden in the actual is 60 feet
then
the radius of the circular flower garden in the blueprint is 6 units
Find the center of the radius in the blueprint
Remember that the circular flower garden is in the center o the backyard
so
To find out the center, determine the midpoint of the rectangular backyard
C((0+30)/2,(0+60)/2)
C(15,30)
The equation of a circle in center radius form is equal to
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
where
(h,k) is the center
r is the radius
we have
![(h,k)=(15,30)\\r=6\ units](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%2815%2C30%29%5C%5Cr%3D6%5C%20units)
substitute
![(x-15)^2+(y-30)^2=6^2](https://tex.z-dn.net/?f=%28x-15%29%5E2%2B%28y-30%29%5E2%3D6%5E2)
![(x-15)^2+(y-30)^2=36](https://tex.z-dn.net/?f=%28x-15%29%5E2%2B%28y-30%29%5E2%3D36)
HOPE THIS HELPS!! PLEASE MARK BRAINLIEST
Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So
![p_R = 0.21*0.18 = 0.0378](https://tex.z-dn.net/?f=p_R%20%3D%200.21%2A0.18%20%3D%200.0378)
Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So
![p_P = 0.39*0.61 = 0.2379](https://tex.z-dn.net/?f=p_P%20%3D%200.39%2A0.61%20%3D%200.2379)
Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So
![p_S = 0.4*0.21 = 0.084](https://tex.z-dn.net/?f=p_S%20%3D%200.4%2A0.21%20%3D%200.084)
Probability of roommate A winning:
![p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597](https://tex.z-dn.net/?f=p%20%3D%20p_R%20%2B%20p_P%20%2B%20p_S%20%3D%200.0378%20%2B%200.2379%20%2B%200.084%20%3D%200.3597)
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.