Using the fundamental counting theorem, it is found that 17,576,000 different license plates can be manufactured.
Fundamental counting theorem:
States that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
- Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence .
- For the 3 numbers, there are 10 outcomes, hence
Then:
17,576,000 different license plates can be manufactured.
To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866
Answer:
Step-by-step explanation:
C
Answer:
17,37
Step-by-step explanation:
one number = x
The positive number = 2x + 3
x * (2x+3) = 629
x*2x + x *3 = 629
2x² + 3x - 629 = 0
2x² - 34x + 37x - 17*37 =0
2x*(x -17) + 37(x - 17) = 0
(x - 17)(2x + 37) = 0
x - 17 = 0 ; Ignore 2x + 37 as s is a positive number
x = 17
Positive number = 2*17 +3 = 34+3 = 37
The pH is the measure of hydrogen ion concentration in a solution. The hydrogen ion concentration at pH 1.25 is .
<h3>How to calculate hydrogen concentration?</h3>
The pH is the negative logarithmic value of the hydrogen ion concentration in the sample.
The pH can be expressed as:
The hydrogen ion concentration can be given as:
The given pH is 1.25 The hydrogen ion concentration is given as:
The hydrogen ion concentration in the solution is .
Learn more about pH, here:
brainly.com/question/491373
The converse would be If x² = 100 then x = -10
So essentially if the conditional statement is p → q then the converse is q → p (In essence, the converse of a conditional statement is formed by interchanging the hypothesis and the conclusion.)