32 is 75% of what number?
50
40
20
105
The correct answer is 40.
To find the number, we can set up the equation:
0.75x = 32
Solving for x:
x = 32 / 0.75
x = 42.6666666667
Rounded to the nearest whole number, x = 40.
What is the median of the following data 2, 34, 25, 23, 26, 15, 24, 16, 25
To find the median, we first need to arrange the data in ascending order:
2, 15, 16, 23, 24, 25, 25, 26, 34
Since there are nine numbers in the data set, the median will be the middle number when the data set is arranged in ascending order. In this case, the median is 24.
Therefore, the median of the data set 2, 34, 25, 23, 26, 15, 24, 16, 25 is 24.
Solve: 4x + 5 < - 4 or 9x - 2 > - 17
To solve the compound inequality 4x + 5 < -4 or 9x - 2 > -17, we will solve each inequality separately and then combine the results with "or".
1. Solve 4x + 5 < -4:
Subtract 5 from both sides:
4x < -9
Divide by 4:
x < -9/4
2. Solve 9x - 2 > -17:
Add 2 to both sides:
9x > -15
Divide by 9:
x > -15/9
x > -5/3
Combine the results with "or":
x < -9/4 or x > -5/3
Therefore, the solution to the compound inequality 4x + 5 < -4 or 9x - 2 > -17 is x < -9/4 or x > -5/3.