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Answer:
- k=27
- y=27x
Step-by-step explanation:
3 tickets to attend an Off-Broadway show cost $81,
4 tickets cost $108; and
5 tickets cost $135.
Let the price of a ticket=k
Therefore:
- 3k=81
- 4k=108
- 5k=135
Solving any of the equation above gives: x=27
We therefore have:
Let y be the total cost of x tickets
- From the above, the constant of proportionality, k=27
An equation for the relationship is therefore:
y=27x (where x is the number of tickets and y is the total costs (in $)).
With the frequecy distribution shown in the 50 cities of pakistan,
- range = 18
- mean = 18.1
- median = 19.8333
- mode = 19.125
- kurtosis = 2.7508
- Standard deviation = 3.75
= highest value - lowest value
= 26.5 - 8.5
= 18
<h3>How to find the mean</h3>= ∑ f x / ∑ f
= ∑ f x / N
= 905 / 50
= 18.1
median
= lower limit + ( N/2 - C ) * h / ( frequency of the class interval )
C = cumulative frequency preceeding to the median class frequency
h = class interval
= 18.5 + ( 50 / 2 - ( 5 + 12 ) ) * 3 / 18
= 18.5 + 1.3333
= 19.8333
<h3>How to find the mode</h3>The mode is the value with the highest frequency occurence. This is under class 18 - 20
mode = lower limit + ( ( f1 - f0 ) / (2*f1 - f0 - f2 ) ) * h
f1 = fequency of the modal class
f0 = freqency of the preceeding modal class
f2 = frequency of the next modal class
h = class interval
= 18.5 + ( ( 18 - 12 ) / (2 * 18 - 12 - 8 ) ) * 3
= 18 + ( 0.375 ) * 3
= 19.125
<h3>How to find the standard deviation </h3>= sqrt ( 1 / N ∑ f ( x - x' )^2 )
= sqrt (1 / 50 * 706.5
= 3.7589
<h3>How to solve for relative dispersion </h3>= standard deviation / mean
= 3.7589 / 3
= 1.2530
<h3>What is the variance? </h3>= ( standard deviation )^2
= ( 3.7589 )^2
= 14.1293
<h3>How to solve for kurtosis</h3>= ∑ f ( x - x' )^4 / ( N * ( standard deviation )^4 )
= 27459.405 / ( 50 * 3.7589^4 )
= 2.7509
Read more on frequency distribution here: brainly.com/question/1094036
