Avanti works in a bookstore. She has four books and is going to place them in two stacks. The diagram above shows the books befo
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Answer:
The time the trip takes Kelly is approximately 34 minutes
Step-by-step explanation:
The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;
The given parameters of the journey are;
The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes
The speed with which Mike travels = 60 miles an hour
The speed with which Kelly travels the same trip = 80 miles an hour
Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly
For Mike, we have;
S = d/t
∴ d = S × t
Where;
S = 60 miles per hour
t = 45 minutes = 0.75 hour
d = 60 miles/hour × 0.75 hour = 45 miles
The distance from point 'a' to point 'b' = d = 45 miles
Similarly, from S = d/t, we have for Kelly the time 't' given as follows;
t = d/S
Where;
S = 80 miles/hour
d = 45 miles
∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes
The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.
Answer:
1) Mean = 6.28
2) Median = 7
3) Mode = 8
4) Range = 6
Step-by-step explanation:
We need to find Mean, Median, Mode and Range of data given in tables.
1) Mean
The formula used to calculate mean is:
The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9
Sum of all data points = 132
Number of data points = 21
Finding mean:
So, Mean = 6.28
2) Median
The formula used to calculate median is: because we have n = odd
Number of data points n = 21
Putting values and finding the position of median term
So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9
The 11 th term is 7
So, Median = 7
3) Mode
The mode is the most repetitive value of data set.
In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9
The most repetitive value is 8
So, Mode = 8
4) Range
The range can be calculated using formula:
In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9
Maximum value = 9
Minimum value = 3
So, the range is:
So, Range = 6