100 divided by 12? as a fraction<br> no wrong answers

Miss Kito’s car holds 18 gallons of gasoline. As she was driving, she noticed that the fuel gauge indicated that she had 1/5 of

jonny [76]

We will see that the cost of filling the tank is $38.88, and at the final of the trip she will have 4 gallons on the tank.

<h3>How much costs to fill the tank?</h3>

a) The car holds 18 gallons, and it has 1/5 of the tank remaining.

Then in the tank there are:

(1/5)*18 = 3.6 gallons.

Then we need 18 gal - 3.6 gal = 14.4 gal

And each gallon costs $2.70, then to fill the tank, Miss Kito needs:

(14.4)*$2.70 = $38.88

b) Now we know that the car travels 26 miles per gallon, and she needs to travel a total distance of 364 miles.

Then she needs:

$\frac{364mi}{26 mi/gal} = 14 gal$

To travel that distance, and the car holds 18 gallons, so at the end of the trip, she will have 4 gallons of gasoline in her car.

If you want to learn more about algebra, you can read:

brainly.com/question/4344214

7 0

2 years ago

15/21 in its simplest form?

garri49 [273]

Answer:

5/7

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write the comparison of $18 to $12 as a ratio in simplest form using a colon.

fiasKO [112]

18:12
3:2
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6 0

4 years ago

W(-1, 4), X(1, 2), Y-2, 1); k = 3

WARRIOR [948]

Answer:

<h2>what is the question</h2>

Step-by-step explanation:

get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is

4 0

3 years ago

Consider the given data. x 0 2 4 6 9 11 12 15 17 19 y 5 6 7 6 9 8 8 10 12 12 Use the least-squares regression to fit a straight

levacccp [35]

Answer:

See below

Step-by-step explanation:

By using the table 1 attached (See Table 1 attached)

We can perform all the calculations to express both, y as a function of x or x as a function of y.

Let's make first the line relating y as a function of x.

<u>y as a function of x </u>

<em>(y=response variable, x=explanatory variable) </em>

$\bf y=m_{yx}x+b_{yx}$

where

$\bf m_{yx}$ is the slope of the line

$\bf b_{yx}$ is the y-intercept

In this case we use these formulas:

$\bf m_{yx}=\frac{(\sum y)(\sum x)^2-(\sum x)(\sum xy)}{n\sum x^2-(\sum x)^2}$

$\bf b_{yx}=\frac{n\sum xy-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}$

n = 10 is the number of observations taken (pairs x,y)

<u>Note:</u> <em>Be careful not to confuse </em>

$\bf \sum x^2$ with $\bf (\sum x)^2$

Performing our calculations we get:

$\bf m_{yx}=\frac{(83)(95)^2-(95)(923)}{10*1277-(95)^2}=176.6061$

$\bf b_{yx}=\frac{10*923-(95)(83)}{10(1277)-(95)^2}=0.3591$

So the equation of the line that relates y as a function of x is

In order to compute the standard error $\bf S_{yx}$ , we must use Table 2 (See Table 2 attached) and use the definition

$\bf s_{yx}=\sqrt{\frac{(y-y_{est})^2}{n}}$

and we have that standard error when y is a function of x is

$\bf s_{yx}=\sqrt{\frac{39515985}{10}}=1987.8628$

Now, to find the line that relates x as a function of y, we simply switch the roles of x and y in the formulas.

So now we have:

x as a function of y

(x=response variable, y=explanatory variable)

$\bf x=m_{xy}y+b_{xy}$

where

$\bf m_{xy}$ is the slope of the line

$\bf b_{xy}$ is the x-intercept

In this case we use these formulas:

$\bf m_{xy}=\frac{(\sum x)(\sum y)^2-(\sum y)(\sum xy)}{n\sum y^2-(\sum y)^2}$

$\bf b_{xy}=\frac{n\sum xy-(\sum x)(\sum y)}{n(\sum y^2)-(\sum y)^2}$

n = 10 is the number of observations taken (pairs x,y)

<u>Note:</u> <em>Be careful not to confuse </em>

$\bf \sum y^2$ with $\bf (\sum y)^2$

Remark:<em> </em><em>If you wanted to draw this line in the classical style (the independent variable on the horizontal axis), you would have to swap the axis X and Y) </em>

Computing our values, we get

$\bf m_{xy}=\frac{(95)(83)^2-(83)(923)}{10*743-(83)^2}=1068.1072$

$\bf b_{xy}=\frac{10*923-(95)(83)}{10(743)-(83)^2}=2.4861$

and the line that relates x as a function of y is

To find the standard error $\bf S_{xy}$ we use Table 3 (See Table 3 attached) and the formula

$\bf s_{xy}=\sqrt{\frac{(x-x_{est})^2}{n}}$

and we have that standard error when y is a function of x is

$\bf s_{xy}=\sqrt{\frac{846507757}{10}}=9200.5856$

<em>In both cases the correlation coefficient r is the same and it can be computed with the formula: </em>

$\bf r=\frac{\sum xy}{\sqrt{(\sum x^2)(\sum y^2)}}$

Remark: <em>This formula for r is only true if we assume the correlation is linear. The formula does not hold for other kind of correlations like parabolic, exponential,..., etc. </em>

Computing the correlation coefficient :

$\bf r=\frac{923}{\sqrt{(1277)(743)}}=0.9478$

5 0

4 years ago

100 divided by 12? as a fraction no wrong answers