• f(x) = 3x + 4
• g(x) = 8x + 1
Sum both functions above:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = (3x + 4) + (8x + 1)
(f + g)(x) = 3x + 8x + 4 + 1
(f + g)(x) = 11x + 5
Therefore,
(f + g)(0) = 11 · 0 + 5
(f + g)(0) = 0 + 5
(f + g)(0) = 5 <——— this is the answer.
I hope this helps! =)
Answer:
a.
Probability of Diet Cola = 19/28
Probability of Lemonade = 4/28
Probability of Root Beer = 5/28
b. Theoretical Probability
Step-by-step explanation:
Given
Diet Cola = 19
Lemonade = 4
Root Beer = 5
Required
Probability the her next drink will be
- Diet Cola
- Lemonade
- Root beer
To calculate the probability of each of the above, first we need to calculate the total number of drinks she's had
Total = Diet Cola + Lemonade + Root Beer
Total = 19 + 4 + 5
Total = 28
The probability that her next drink can be any of the above can then be calculated.
This is calculated by dividing each outcome by the total; as follows;
Probability of Diet Cola = 19/28
Probability of Lemonade = 4/28
Probability of Root Beer = 5/28
This type of probability is referred to as theoretical probability because it makes predictions base on previous occurrence of events.
