Answer:
65
Step-by-step explanation:
MOQ = RTN
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
Answer:
3 2/3
Step-by-step explanation:
4+-1 2/3
3 2/3
--------------------------------------------------------------------
Answer:
Explanation:
<u>1. Sample space</u>
The total number of gums is 2 + 3 + 4 + 2 + 1 = 12.
The number of different outcomes, i.e. the size of the sample space, for the selection of two gumballs from 12 gums is 12 × 11 = 132 different combinations.
2. Number of combinations for the desired outocome.
There are four possible combinations in which one ball is pink and one is yellow:
- first is yellow and second is one of the pinks
- first is yellow and second is the other pink
- first is one of the pinks and second is yellow
- first is the other pink and second is yellow
<u>3. Probability</u>
<u></u>
By definition:
- Probability = number of favorable outcomes / total number of outcomes
Therefore:
- Probability that Pierre selects a yellow and a pink gumball = 4/132
- Probability that Pierre selects a yellow and a pink gumball = 1/33
