Answer:
9
Step-by-step explanation:
Using the identity
(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
Subtract 2(ab + bc + ca) from both sides, then
a² + b² + c² = (a + b + c)² - 2(ab + bc + ca) = 7² - 2(20) = 49 - 40 = 9
Graph of f(x)+1 would be x+1.
This would mean that all y-values of the graph will increase by one.
A common denominator for 1/4 and 5/6 is 12~
Given:
Number of red marbles = 5
Number of blue marbles = 4
Number of yellow marbles = 3
To find:
The probability of pulling a red marble, then pulling a blue marble, without replacement.
Solution:
Probability formula:

We have,
Number of red marbles = 5
Total number of marbles is:

Probability of getting a red marble is:

After selecting one red marble, the remaining number of marbles is 11 and the number of blue marbles is 3. So,

Now, the probability of pulling a red marble, then pulling a blue marble, without replacement is:




Therefore, the correct option is B.