Lucy is driving to her aunt's house. The table shows the amount of gasoline in Lucy's car after the given number of hours drivin
g. Determine the
initial amount of gasoline in the car when she started the trip. Assume that the relationship between the two quantities is linear.
a. 14
b. 12
c. 2
d. 0
initial amount of gasoline in the car when she started the trip. Assume that the relationship between the two quantities is linear.
a. 14
b. 12
c. 2
d. 0
1 answer:
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Answer:
(a) and (c)
Step-by-step explanation:
Given
See attachment for complete question
Required
Select all true statements
First, calculate the total observed frequency;
<u>(a): Relative frequency of 4 is 2/9</u>
Relative frequency is calculated by:
For roll 4
So, the relative frequency is:
Simplify
<em>(a) is true</em>
<u>(b): Experimental probability of 3 greater than its theoretical probability</u>
The experimental probability is its relative frequency;
For roll 3
The experimental probability is:
Simplify
To calculate the theoretical probability, w have:
---- sample space
--- number of times 3 occur
The theoretical probability is:
The theoretical probability is experimental probability.
<em>(b) is false</em>
<u>(c): Experimental probability of 2 greater than its theoretical probability</u>
Using the explanations in (b), we have:
For roll 2
The experimental probability is:
Simplify
To calculate the theoretical probability, we have:
The theoretical probability is:
The experimental probability is theoretical probability.
<em>(c) is true</em>
<u>(d): Relative frequency of 5 is 2/13</u>
For roll 5
The relative frequency is:
Simplify
<em>(d) is true</em>
