Which equation could be used to find the total amount earned, T, for working h hours at $19 per hour?

3 answers

The equation to find the total amount earned, \( T \), for working \( h \) hours at a rate of $19 per hour can be expressed as:

\[ T = 19h \]

In this equation, \( T \) is the total amount earned, \( 19 \) is the hourly wage, and \( h \) is the number of hours worked.

What is the probability the arrow on the spinner does not stop on a number divisible by 3?

To determine the probability that the arrow on a spinner does not stop on a number divisible by 3, we first need some details about the spinner, specifically the numbers it contains. However, lacking that specific information, I can provide you with a general approach to solve this type of problem.

  1. Identify the numbers on the spinner: List all the possible outcomes (numbers) on the spinner. For example, the spinner might have the numbers 1 through 6.

  2. Count the total outcomes: Determine the total number of outcomes or sections on the spinner.

  3. Identify the favorable outcomes: Count how many of those numbers are divisible by 3. For the example of a spinner with numbers from 1 to 6, the numbers that are divisible by 3 are 3 and 6.

  4. Calculate the probability: Use the formula for probability:

\[ P(\text{not divisible by 3}) = 1 - P(\text{divisible by 3}) \]

Where \( P(\text{divisible by 3}) = \frac{\text{Number of outcomes divisible by 3}}{\text{Total number of outcomes}} \).

  1. Plug in the values:

Continuing with the example:

  • Total outcomes = 6 (numbers 1, 2, 3, 4, 5, 6)
  • Outcomes divisible by 3 = 2 (numbers 3 and 6)

Thus,

\[ P(\text{divisible by 3}) = \frac{2}{6} = \frac{1}{3} \] \[ P(\text{not divisible by 3}) = 1 - \frac{1}{3} = \frac{2}{3} \]

In conclusion, if you can provide the specific numbers on the spinner, I can give you a more precise answer.