Kyle is buying a new car. The car can be driven 24.3 miles with one gallon of gas. The gas tank can hold 15.3 gallons of gas. Ky
2 answers:
Answer:
Unitary method
Total distance=371.79 miles
Step-by-step explanation:
We are given that Kyle is buying a new car.
The car driven in one gallon of a gas =24.3 miles
The gas tank holds=15.3 gallons
We have to find the method and reasoning can Kyle use to find the distance he can travel in miles.
We have to find the distance travel in 15.3 gallons of a gas
So , we are using unitary method .
Unitary method : When we want to find more than one units with the help of one unit by multiplying
Because we are finding in 15. 3 gallons which is more than one and we are given that in 1 gallon of gas car travel 24. 3 miles
Total distance =
Hence, the distance Kyle can travel in 15.3 gallons of gas=371.79 miles
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Answer:
So on this case the 90% confidence interval would be given by (10.013;10.147)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the mean and the sample deviation we can use the following formulas:
(2)
(3)
The mean calculated for this case is
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 90% confidence interval would be given by (10.013;10.147)
Answer:
There are 28 fruits in each pile.
Step-by-step explanation:
We are given the following in the question:
Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.
Consider the diophantine equation:
We obtain the greatest common divisor of (63,-23).
The greatest common divisor f 63 and -23 is 1.
Therefore, there exist such that
By applying extended Euclidean Algorithm, we have,
Multiplying -7 on both sides, we get,
Thus, we get,
Thus, there are 28 fruits in each pile.