$$ 68 \% $$ of the tire sets tested had a life span between 38,000 miles and 42,000 miles. How many sets of tires would this be? If 10,000 sets of this tire were produced, how many sets would you expect to wear-out before reaching 36,000 miles?

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To find the number of sets of tires that would wear out before reaching 36,000 miles, we need to calculate the percentage of tires that would wear out within the given life span range.

Given:
- 68% of the tire sets tested had a life span between 38,000 miles and 42,000 miles.

Let's calculate the number of sets of tires that would wear out before reaching 36,000 miles:

1. Calculate the percentage of tires that would wear out before reaching 36,000 miles:
$$ \text{Percentage of tires that would wear out before 36,000 miles} = 68\% $$

2. Calculate the number of sets of tires that would wear out before reaching 36,000 miles:
$$ \text{Number of sets of tires that would wear out before 36,000 miles} = 68\% \times 10,000 $$

Now, let's calculate the number of sets of tires that would wear out before reaching 36,000 miles.
Calculate the value by following steps:
- step0: Calculate:
  $$68\%\times 10000$$
- step1: Use $$p\%=p \times 0.01:$$
  $$68\times 0.01\times 10000$$
- step2: Calculate:
  $$0.68\times 10000$$
- step3: Multiply the numbers:
  $$6800$$
$$ 68\% \times 10,000 $$

of the tire sets tested had a life span between 38,000 miles and 42,000 miles.
How many sets of tires would this be?
If 10,000 sets of this tire were produced, how many sets would you expect to wear-out before
reaching 36,000 miles?

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