We can plug those values into the equation, and if the answer is incorrect, we'll know if either one is extraneous.
√11 - 2(-7) = √(-7)^2 + 4(-7) + 4
√25 = √25
5 = 5
The first solution, -7, makes the equation true, and so it is not extraneous.
√11 - 2(1) = √(1)^2 + 4(1) + 4
√9 = √9
3 = 3
The second solution, 1, makes the equation true, and so it is also not extraneous.
<h3>The correct option is D, neither solution is extraneous. </h3>
Answer:
a) ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
b) ![\frac{4}{12}\,,\,\frac{4}{11}\,,\,\frac{4}{10}\,,...](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B12%7D%5C%2C%2C%5C%2C%5Cfrac%7B4%7D%7B11%7D%5C%2C%2C%5C%2C%5Cfrac%7B4%7D%7B10%7D%5C%2C%2C...)
Step-by-step explanation:
Number of balls in the urn = 12
Number of white balls in the urn = 4
So, number of balls which are not white = 12 - 4 = 8
We know that probability = No. of outcomes/Total number of outcomes
Let
denotes the event of getting white ball by A, B and C
a) each ball is replaced after being drawn.
Probability = Number of white balls/Total number of balls
Solution: ![P(A_i)=P(B_i)=P(C_i)=\frac{4}{12}=\frac{1}{3}](https://tex.z-dn.net/?f=P%28A_i%29%3DP%28B_i%29%3DP%28C_i%29%3D%5Cfrac%7B4%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B3%7D)
b)the balls that are withdrawn are not replaced.
Solution:
If A wins: ![P(A_1)=\frac{4}{12}=\frac{1}{3}](https://tex.z-dn.net/?f=P%28A_1%29%3D%5Cfrac%7B4%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B3%7D)
If A lost and B wins: ![P\left ( B_1|A_1^{c} \right )=\frac{4}{11}](https://tex.z-dn.net/?f=P%5Cleft%20%28%20B_1%7CA_1%5E%7Bc%7D%20%5Cright%20%29%3D%5Cfrac%7B4%7D%7B11%7D)
If A and B lost and C wins: ![P\left ( C_1|A_1^{c}\,B_1^{c} \right )=\frac{4}{10}](https://tex.z-dn.net/?f=P%5Cleft%20%28%20C_1%7CA_1%5E%7Bc%7D%5C%2CB_1%5E%7Bc%7D%20%5Cright%20%29%3D%5Cfrac%7B4%7D%7B10%7D)
and so on....
Answer:cvg
Step-by-step explanation:
The least common denominator of 11/8 and 1/12 is 24. Since 24 is divisible by 12, as well as the number 8. Wherein, each answers will result to a whole number. Being, 24/8 is equal to 3 and 24/12 is equal to 2.
Answer 5.5
Explanation 125 + 125= 250
250 + 50=300
Is 2 125s and 1 50
Each 125 is 2.5
But in this case there is 2 125s
2.5+2.5=5
plus the other half = 5.5
BRAINLIST?