Question

At East Coast Dogs, 9 of the last 18 customers wanted mustard on their hot dogs. Considering this data, how many of the next 8 customers would you expect to want mustard?

Answer 1

57

Explanation:

First, write the experimental probability as a fraction in simplest form.

P(mustard)

=

mustard

total

=

mustard

mustard+other

=

30

30+10

=

30

40

=

3

4

The experimental probability is

3

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

3

4

=

n

76

3

4

(476)

=

n

76

(476) Multiply both sides by (476)

376

= 4n Simplify

228

= 4n Simplify

57

= n Divide both sides by 4

You would expect 57 of the next 76 customers to want mustard.

Answer 2

9

Explanation:

because the paragraph is telling you 9 of the 18 customers want mustard on their hot dog so the paragraph is telling you de answer