There are 19 green marbles in a box. The number of green marbles in the box is 6 more than half the number of red marbles in the
2 answers:
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Answer:
There is a 44.73% probability that all symbols are different.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
There are 26 total letters and 10 total digits.
The plate has the following format:
number, letter, letter, letter, number, number, number
Total outcomes
Each number can have 10 values.
Each letter can have 26 values.
There are four numbers and 3 letters.
So there are
possible plates
Desired outcomes
We cannot have repeated values.
So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits
The same logic for the letters, 26, then 25, then 24.
So there are
10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.
(a) What is the probability that all symbols are different
There is a 44.73% probability that all symbols are different.
Answer:
Step-by-step explanation:
Given that a small business assumes that the demand function for one of its new products can be modeled by
Substitute the given values for p and x to get two equations in c and k
Dividing on by other we get
Substitute value of k in any one equation
b) Revenue of the product is demand and price
i.e. R(x) = p*x =
Use Calculus derivative test to find max Revenue
R'(x) =
EquateI derivative to 0
1-0.000589x =0
x = 1698.037
When x = 1698 and p = 16.56469