Sure, let's break down the solution step-by-step:
### Question 4: Points Scored in the Second Half
Problem:
Your team scored a total of 123 points. If 67 points were scored in the first half, how many were scored in the second half?
Solution:
1. Total points scored: 123
2. Points scored in the first half: 67
3. Points scored in the second half:
- We can find the points scored in the second half by subtracting the points scored in the first half from the total points.
- Points scored in the second half = Total points - Points scored in the first half = 123 - 67
Answer: The points scored in the second half is 56.
### Question 5: Probability of Drawing an Even Number
Problem:
Given the numbers from 1 to 50, if the probability of drawing an even number is [tex]\(\frac{25}{50}\)[/tex], how many even numbers are there?
Solution:
1. Range of numbers: 1 to 50
2. Total numbers in this range:
- To find the total number of integers in the range from 1 to 50, we calculate:
Total numbers = 50 - 1 + 1 = 50
3. Number of even numbers in this range:
- The probability of drawing an even number is given as [tex]\(\frac{25}{50}\)[/tex], which simplifies to [tex]\(\frac{1}{2}\)[/tex].
- This means that half of the numbers in the range are even.
- Number of even numbers = [tex]\(\frac{Total numbers}{2}\)[/tex] = [tex]\(\frac{50}{2}\)[/tex]
Answer: The number of even numbers is 25.
Probability of Drawing an Even Number Confirmed:
- Given probability: [tex]\(\frac{25}{50}\)[/tex] simplifies to 0.5 or 50%.
By detailing the steps, we have clarified the solution process and confirmed that the results are 56 points scored in the second half and 25 even numbers in the range. The probability of drawing an even number remains 0.5.
