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Goshia [24]
3 years ago
8

Natasha goes on a trip on her motorcycle and rides for 510 miles. If she rides for 6 hours at a speed of 65 miles per hour, then

at what speed does she travel for the remaining 3 hours of the journey?
Mathematics
1 answer:
Verdich [7]3 years ago
5 0

Answer:

40 miles per hour

Step-by-step explanation:

6 times 65 is 390

510 - 390 = 120

120 divided by 3 is 40

Natasha would have to ride on the motorcycle for the rest of the 3 hours at a speed of 40 per hour.

Hope this helps :)

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3 years ago
The length of the sides of a triangle is given. Determine
Stels [109]

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y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

(a)

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\begin{aligned}        \alpha  &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}  \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        \end{aligned}

The values of ∑<em>X</em>, ∑<em>Y</em>, ∑<em>XY</em> and ∑<em>X</em>² are computed in the table below.

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\begin{aligned}        \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}

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y=4.662+2.709x

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