Answer:
D
A right triangle is a triangle that has one 90 degree angle, so looking at the options i would say D
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.
a) Select 3 apples with replacement. Find the probability that all there are green.
- Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:
- = (Number of green apples/Total apples)
Therefore 0.0130 is the required probability here.
b) Select 3 apples with replacement. Find the probability that none are red
Probability that none are red is computed here as:
- = (Number of non red apples/Total apples)
Therefore 0.14838 is the required probability here
c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples
- Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
- = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
- = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
Therefore 0.6647 is the required probability here
d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.
- Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
Therefore 0.3125 is the required probability here
Answer:
The answer to your question is
, because the directions says to give the answer in factor form.
Step-by-step explanation:

Factor like terms (x - 7)(x + 1)²

Simplify
![\frac{(x+1)^{2}[3(x - 7) - 2(x+1)]}{(x-7)^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B1%29%5E%7B2%7D%5B3%28x%20-%207%29%20-%202%28x%2B1%29%5D%7D%7B%28x-7%29%5E%7B3%7D%7D)
Expand
![\frac{(x+1)^{2}[3x - 21 -2x - 2]}{(x - 7)^{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B1%29%5E%7B2%7D%5B3x%20-%2021%20-2x%20-%202%5D%7D%7B%28x%20-%207%29%5E%7B3%7D%7D)
Simplify
Answer:
1 11/80
Step-by-step explanation:
1/5 + (3/4 × 1 1/4)
1/5 + (3/4 × 5/4)
1/5 + (15/16)
16/80 + 75/80
91/80
1 11/80