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Temka [501]
3 years ago
15

The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up

a car with gasoline with 9 gallons of gasoline. What is the constant of variation?
Mathematics
2 answers:
Snowcat [4.5K]3 years ago
8 0
I think the answer is 

2.43
Arisa [49]3 years ago
6 0

Answer:

$2.43 per gallon of gas.

Step-by-step explanation:

We have been given that the amount of money it takes to fill up a gas tank varies directly with the number of gallons bought.

We know that the equation for two directly proportional quantities is in form: y=kx, where,

k = The constant of variation and y is directly proportional to x.

To find the constant of variation for our given equation, we will substitute the given values in above equation as:

\$21.87=k*9\text{ gallons}

Let us divide both sides of our equation by 9 gallons.

\frac{\$21.87}{9\text{ gallons}}=\frac{k*9\text{ gallons}}{9\text{ gallons}}

\frac{\$2.43}{\text{ gallon}}=k

Therefore, the constant of variation is $2.43 per gallon of gas.

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2 years ago
A random sample of 16 one-kilogram sugar packets is obtained and the actual weights of the packets are measured. The sample mean
elena55 [62]

Answer:

The 99% two-sided confidence interval for the average sugar packet weight is between 0.882 kg and 1.224 kg.

Step-by-step explanation:

We are in posession of the sample's standard deviation, so we use the student's t-distribution to find the confidence interval.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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The upper end of the interval is the sample mean added to M. So it is 1.053 + 0.171 = 1.224 kg.

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3 0
3 years ago
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