Answer: 64 cups
Step-by-step explanation:
Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)
For two triangles to be congruent by AAS:
1- Two angles in the first triangle must be equal to two angles in the second triangle
2- A non included side in the first triangle is equal to a non included side in the second triangle
Now, let's check our options. We will find that:
For the two triangles UTV and ABC:
angle T = angle A
angle V = angle C
TU (non-included between angles T & V) = AB (non-included between angles A & C)
Therefore, we can conclude that:
Triangles ABC and UTV are congruent by AAS
As we can observe from given information,
now, let's solve for y
hope it helped...
Answer: 0.1840
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : The probability of the community favored building a police substation in their neighborhood = 0.64
If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-
![P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840](https://tex.z-dn.net/?f=P%288%29%3D%7B14%7D%5EC_%7B8%7D%5C%20%280.64%29%5E%7B8%7D%281-0.64%29%5E%7B14-8%7D%5C%5C%5C%5C%3D%5Cdfrac%7B14%21%7D%7B8%216%21%7D%5Ctimes%280.64%29%5E8%280.36%29%5E%7B6%7D%5C%5C%5C%5C0.183996740126%5Capprox0.1840)
Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840