Reason:
1. Given
2. Angles opposite by the vertex
3. Two pair of corresponding angles are congruent (∠C ≅∠E and <span>∠ABC≅∠DBE)</span>
Elimination:
7x - 3y = 20
5x + 3y = 16
(add)
12x = 36
÷ 12
x = 3
(5 × 3) + 3y = 16
15 + 3y = 16
- 15
3y = 1
÷ 3
y = 1/3
Substitution:
5x + 3y = 16
- 3y
5x = 16 - 3y
÷ 5
x = 3.2 - 0.6y
5(3.2 - 0.6y) + 3y = 16
16 - 3y + 3y = 16
16 = 16
- 16
6y = 0
÷ 6
y = 0
Sorry the substitution messed up for some reason, I'll fix it after I've answered the other question
Answer:
7723/10000
Step-by-step explanation:
Answer:
Here it is!
Step-by-step explanation:
Answer: Our required probability is 0.167.
Step-by-step explanation:
Since we have given that
n = 15
Probability of success p = 80% = 0.8
Probability of failure q = 20% = 0.2
We need to find the probability that at least fourteen will work.
So, by Binomial distribution, we get that

Hence, our required probability is 0.167.