Answer:
20 / 4 is the correct answer.
Answer: ![\dfrac{16}{49}](https://tex.z-dn.net/?f=%5Cdfrac%7B16%7D%7B49%7D)
Step-by-step explanation:
Given: A bag contains 4 sour-apple candies and 3 watermelon candies.
Total candies = 4+3 = 7
If replacement of candy is done, then the probability of getting sour apple will be the same and independent each time .
Probability of selecting sour apple candy= ![\dfrac{\text{Number of sour apple candy}}{\text{Total}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BNumber%20of%20sour%20apple%20candy%7D%7D%7B%5Ctext%7BTotal%7D%7D)
![=\dfrac47](https://tex.z-dn.net/?f=%3D%5Cdfrac47)
Now , the probability that both pieces of candy chosen will be sour -apple =![\dfrac47\times\dfrac{4}{7}=\dfrac{16}{49}](https://tex.z-dn.net/?f=%5Cdfrac47%5Ctimes%5Cdfrac%7B4%7D%7B7%7D%3D%5Cdfrac%7B16%7D%7B49%7D)
hence, required probability = ![\dfrac{16}{49}](https://tex.z-dn.net/?f=%5Cdfrac%7B16%7D%7B49%7D)
Answer:
x + y + 1 = 0
Step-by-step explanation:
Equation of line in general form ⇒ mx + y + c = 0
<u><em>Step 1: Find slope (m)</em></u>
<em>Formula for slope = y2-y1/x2-x1</em>
(4,5) (1,2)
m = 2-5/1-4
m = -3/-3
m = 1
<u><em>Step 2: Find y-intercept where x = 0</em></u>
<em>⇒ when x = 0, y = -1</em>
mx + y + c = 0
1(0) - 1 + c = 0
c = 1
<u><em>Step 3: Write in general form</em></u>
<em>⇒ m = 1</em>
<em>⇒ c = 1</em>
y=mx + c
mx + c - y = 0
mx - y + c = 0
1(x) - y + 1 = 0
x - y + 1 = 0
Therefore, option c is correct where the general equation is x -y + 1 = 0.