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2 answers:
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Answer:
2,075,673,600 batting orders may occur.
Step-by-step explanation:
The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
First 8 batters
8 players from a set of 16. So
Last batter:
Any of the four pitchers.
How many different batting orders may occur?
4*518918400 = 2,075,673,600
2,075,673,600 batting orders may occur.
Answer:
Step-by-step explanation:
Remember:
Given the equation , you need to solve for the variable "x" to find its value.
You need to square both sides of the equation:
Simplifying, you get:
Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:
Then:
Let's check if the first solution is correct:
(It checks)
Let's check if the second solution is correct:
(It does not checks)
Therefore, the solution is: