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Brums [2.3K]
3 years ago
14

You have been hired by joe's gas stop to estimate a demand function for its regular gasoline sales. occordingly, you collect 50

days of data on quantity sold (the dependent variable measured in gallons) and price (the explanatory variable measured in cents per gallon). the data is shown on the "gasoline demand data" tab and an x-y scatter of the data is shown at right. you use the "data analysis add-in" to estimate the regression results shown below:
Mathematics
1 answer:
Digiron [165]3 years ago
8 0
(a) Sample correlation ==> -0.7916
(b) Standard Deviation for Quantity ==> 801.6816
(c) Standard Deviation for Price ==> 39.1660
(d) Relation to coefficient on Price ==> <span>−16.2028</span>
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A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?
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Option C

The radius of circle is 13 units

<em><u>Solution:</u></em>

<em><u>The equation of circle is given by formula:</u></em>

(x-h)^2+(y-k)^2 = r^2

Where, the center being at the point (h, k) and the radius being "r"

<em><u>Given that circle has its center at the origin</u></em>

(h, k) = (0, 0)

<em><u>(5, -12) is a point on the circle</u></em>

(x, y) = (5, 12)

<em><u>Substituting in equation we get,</u></em>

(5-0)^2+(12-0)^2 = r^2\\\\5^2+12^2 = r^2\\\\r^2 = 5^2+12^2\\\\r^2 = 25 + 144\\\\r^2 = 169\\\\Taking\ square\ root\ on\ both\ sides\\\\r = \sqrt{169}\\\\r = \pm 13\\\\Since\ radius\ cannot\ be\ negative\ ignore\ r = -13\\\\Thus\ the\ solution\ is:\\\\ \r = 13

Thus radius of circle is 13 units

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4 years ago
If h(x) = −2x − 10, find h(−4). (1 point) −2 −18 −3 −16
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Use the substitution method

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3 years ago
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