15DANCE TICKETS WERE SOLD IN ONE HALF HOUR. IF THIS RATE CONTINUES HOW LONG WOULD YOU EXPECT IT TO TAKE TO SELL 270 tickets.
1 answer:
Answer:
9 hours
Step-by-step explanation:
Using the initial ratio of 15 tickets in half an hour, you can set up a proportion (equivalent ratios) to find the amount of time it would take to sell 270 tickets:
Where 'x' is the amount of time to seel 270 tickets.
Cross-multiply: 0.5(270) = 15x or 135 = 15x
Divide: 15x/15 = 135/15 or x = 9 hours
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According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
<h3>What is linear regression?</h3>Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.
- Time (minutes X) 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4, 4.5.
- Temperature (° Celsius Y) 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,
- The mean of time value, 2.25.
- The mean of temperature value 88.05
- Sum of squares 20.625
- Sum of products 93.625
The regression equation for this data can be given as,
Put the value of temperature (y) 100 in this equation.
Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
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