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Llana [10]
3 years ago
8

How long does a car traveling at 70 mph take to travel 88 miles, in hours

Mathematics
1 answer:
dybincka [34]3 years ago
7 0
So,

Obviously, the car will travel 70 miles in one hour.  So after one hour, the car will have traveled 70 miles.  That leaves 18 miles.

The time it will take for the car to go another 18 miles will be 18 divided by 70.
\frac{18}{70}

Simplify.
\frac{2*3*3}{2*5*7}
\frac{3*3}{5*7}
\frac{9}{35}

Divide.
≈ 0.25714

So a car traveling at 70 mph will take approximately 1.25714 hours or 1.26 hours to travel 88 miles.
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Use the given data to find a regression line that best fits the price-demand data for price p in dollars as a function of the de
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Answer:

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Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55

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Step-by-step explanation:

For this case we have the following data given:

Demand (x): 10,20,30,40,50,60,70,80,90,100

Price (y): 141 , 133,126, 128,113,97, 90, 82,79,53

We want to construct a linear model like this:

y = mx +b

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =550

\sum_{i=1}^n y_i =1042

\sum_{i=1}^n x^2_i =38500

\sum_{i=1}^n y^2_i =115882

\sum_{i=1}^n x_i y_i =49710

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=38500-\frac{550^2}{10}=8250

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=49710-\frac{550*1042}{10}=-7600

And the slope would be:

m=-\frac{7600}{8250}=-0.921

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{550}{10}=55

\bar y= \frac{\sum y_i}{n}=\frac{1042}{10}=104.2

And we can find the intercept using this:

b=\bar y -m \bar x=104.2-(-0.921*55)=104.707

So the line would be given by:

p(x)=-0.921 x +104.707

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Answer:

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Answer:

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Step-by-step explanation:

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