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Answer :
Answer:
6
Explanation:
First, write the experimental probability as a fraction in simplest form.
P(convertible)
=
convertibles
total
=
4
1+1+4+3+1
=
4
10
=
2
5
The experimental probability is
2
5
.
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.
2
5
=
n
15
2
5
(515)
=
n
15
(515) Multiply both sides by (515)
215
= 5n Simplify
30
= 5n Simplify
6
= n Divide both sides by 5
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Final answer:
Assuming the renting pattern remains the same as yesterday's, you should expect 6 of the first 15 vehicles rented today to be convertibles, calculated based on yesterday's proportions.
Explanation:
To calculate the expected number of convertibles of the first 15 vehicles rented, we first need to calculate the total number of vehicles rented yesterday. Based on the data you provided:
- Sedans: 1
- Minivans: 1
- Convertibles: 4
- Sport utility vehicles: 3
- Pickup trucks: 1
Adding these up gives us a total of 10 vehicles. The number of convertibles is 4. Therefore, the proportion of convertibles to total vehicles is 4/10 or 0.4. If we expect the same proportion for the first 15 vehicles rented today, we would multiply 15 vehicles by the convertible proportion 0.4, which gives us 6. Therefore, you should expect 6 of the first 15 vehicles rented today to be convertibles, assuming the renting pattern remains similar to yesterday's.
Learn more about Proportions here:
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