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3 years ago

After a 40% discount an item costs $360. what is the original cost

2 answers:

4 0

Original Price = Final Price / (100 - Discount)

So...

OP = 360 / 100 - 0.40
OP = 360 / 0.60
OP = 600

The original price is $600.

To check, do 600 - (600 * 0.40) in a calculator. You get 600 - 240 = 360, the discounted cost.

Firdavs [7]3 years ago

3 0

Answer:

It is $600

Step-by-step explanation:

hope it helps, murdle

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A professor went to a website for rating professors and looked up the quality rating and also the "easiness" of the six full-tim

Marat540 [252]

We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:

Now, we create another column with the product of "x" and "y". Like this:

Now, we will add another column with the squares of the values of "x". Like this:

Now, we add another column with the squares of the values of "y":

Now, we sum the values on each of the columns:

Now, to get the correlation factor we use the following formula:

$r=\frac{n\Sigma xy-\Sigma x\Sigma y}{\sqrt{(n\Sigma x^2-(\Sigma x)^2)(n\Sigma y^2-(\Sigma y)^2)}}$

Where:

$\begin{gathered} \Sigma xy=\text{ sum of the column of xy} \\ \Sigma x=\text{ sum of the column x} \\ \Sigma y=\text{ sum of the column y} \\ \Sigma x^2=\text{ sum of the column x\textasciicircum2} \\ \Sigma y^2=\text{ sum of the column y\textasciicircum2} \\ n=\text{ number of rows} \end{gathered}$

Now we substitute the values, we get:

$r=\frac{\left(6)(70.56)-(25.2)(16.4\right)}{\sqrt{((6)(107.12)-(25.2)^2)((6)(47.82)-(16.4)^2)}}$

Solving the operations:

$r=0.858$

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.

7 0

1 year ago

3. One of the graphs represents

faltersainse [42]

Answer:

3x-2y=6

Step-by-step explanation:

Subtract 3x from both sides of the equation

Divide each term by −2 and simplify.

y=-3+ $\frac{3x}{2}$

Rewrite in slope-intercept form

y= $\frac{3}{2} *-3$

Use the slope-intercept form to find the slope and y-intercept.

Find the values of m and b using the form y=mx+b

$m=\frac{3}{2}$

$b=-3$

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: $\frac{3}{2}$

y-intercept: -3

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Choose 0 to substitute in for x to find the ordered pair.

(0,−3)

Choose 1 to substitute in for x to find the ordered pair.

$(1,-\frac{3}{2} )$

Graph the line using the slope and the y-intercept, or the points.

slope: $\frac{3}{2}$

y-intercept:-3

5 0

3 years ago

Which of the following polygons is not a regular polygon?

Shkiper50 [21]

Answer:

Step-by-step explanation:

polygons is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit

6 0

2 years ago

A cell phone tower covers a circular area with a radius of 15 miles. You are at a location that is 11 miles west and 12 miles so

Murljashka [212]

Answer:

No you do not.

This is because we can use Pythagoras Theorem to show that our location sits outside the 15 mile radius of the cell tower.

To work is out you would write the equation

${11}^{2} + {12}^{2} = 265$

Then to work out the Hypotheses you would

$\sqrt{265} = 16.2788205961$

Which proves that the location is outside of the 15 Mile radius of the cell tower.

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3 years ago

Draw a rectangle on a coordinate plane. Choose a scale factor of 2,3,4, or 5, and then dilate the rectangle. How many times grea

TEA [102]

If you have a rectangle that is 2 by 2 and you dilate it by 2, the sides are now 4 x 4. So:
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A factor of 3 would have an area of 9 times as much.

Conclusion: square the scale factor to get how much greater the area would be.

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3 years ago