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aleksandr82 [10.1K]
3 years ago
10

a gasoline service station offers 20 cents off the regular price per gallon every Tuesday.What equation relates the discounted p

rice to the regular price on that day?
Mathematics
2 answers:
solniwko [45]3 years ago
8 0
Look at the question times it what ever number is listed that is your answer
egoroff_w [7]3 years ago
5 0

Alright, lets get started.

Suppose the regular price of the gas is = x

On Tuesdays, gasoline service station offers 20 cents off the regular price per gallon.

Converting 20 cents into dollars, it will be 0.2 dollar

On Tuesdays the price of the gas per gallon will be = x - 0.2 dollars

For the price of gas per gallons on Tuesday , the equation will be : x - 0.2 (where x is the price of gas per gallon on regular days): Answer

Hope it will help :)


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Consider a population list x with μx=10 and SDx = 1. A second population list, y, with μy=10 and SDy=2, is added to the first li
Basile [38]

Answer:

The combined standard deviation is 1.58114.

Step-by-step explanation:

The formula to compute the combined standard deviations of two different data sets is:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}

Here \mu_{c} is the combined mean given by:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}

It is provided that the sample size is same for both the data sets, i.e.n_{X} = n_{Y}=n

Compute the combined mean as follows:

\mu_{c}=\frac{n_{X}\mu_{X}+n_{Y}\mu_{Y}}{n_{X}+n_{Y}}\\=\frac{(n\times10)+(n\times10)}{n+n}}\\=\frac{20n}{2n}\\ =10

Compute the combined standard deviation as follows:

SD_{c} =\sqrt{\frac{n_{X}S^{2}_{X}+n_{2}S^{2}_{Y}+n_{X}(\mu_{X}-\mu_{c})^{2}+n_{Y}(\mu_{Y}-\mu_{c})^{2}}{n_{X}+n_{Y}}}\\=\sqrt{\frac{(n\times1^{2})+(n\times2^{2})+(n(10-10))+(n(10-10))}{n+n}}\\=\sqrt{\frac{n+4n}{2n} } \\=\sqrt{\frac{5n}{2n} } \\=\sqrt{\frac{5}{2}} \\=1.58114

Thus, the combined standard deviation is 1.58114.

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