A spinner is divided into x equal sectors, numbered 1 through x . The probability of spinning a number less than four is 1/10. Determine the value of x

there are 3 numbers less than 4.

So, 3/x = 1/10

...

To determine the value of x, we need to figure out the fraction of sectors that represent numbers less than four. The probability of spinning a number less than four is given as 1/10.

Let's assume that x represents the total number of sectors on the spinner. We can set up the equation:

Number of sectors less than 4 / Total number of sectors = 1/10

The number of sectors less than 4 would be 3 (representing the numbers 1, 2, and 3). We can substitute the values into the equation:

3 / x = 1/10

To solve for x, we can cross multiply:

3 * 10 = x * 1

30 = x

Therefore, the value of x is 30.