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12345 [234]
2 years ago
5

Lyman Company returned $750 of goods it had purchased from another company. The original invoice was for $4,200, 3/10, n/30. Wha

t is the discount if Lyman pays the balance within the discount period?
Mathematics
1 answer:
Scilla [17]2 years ago
4 0
Calculation: 
<span>3/10   </span><span><span>             3---------></span>3% discount</span><span><span>     
                      10--------></span>the days in the discount period, the company has 10 days to pay the bill in full.</span> 

Therefore

Lyman pays the balance within the discount period

 ($4,200 – $750) x .03 = $103.50

the discount is <span>$103.50</span>

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The graph of f(x) = StartRoot x EndRoot is reflected over the y-axis. Use the graphing calculator to graph this reflection. Whic
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Answer:

<em>(–81, 9), (–36, 6), (–1, 1) </em> are the correct three points.

Step-by-step explanation:

Given the function:

f(x) =\sqrt x

Please refer to the attached image.

The green line shows the graph of actual function.

It is reflected over y axis.

The reflected graph is shown in black color in attached image.

When reflected over y axis, the sign of variable x changes from Positive to Negative.

So, the resultant function becomes:

f(x)=\sqrt{-x}

i.e. we will have to give the values of x as negative now.

so, the options in which value of x is negative are the possible answers only.

The possible answers are:

(–81, 9), (–36, 6), (–1, 1) and

(–49, 7), (–18, 9), (–1, 1)

Now, we will check the square root function condition.

In the 2nd option, (–18, 9) does not satisfy the condition.

So, the correct answer is:

<em>(–81, 9), (–36, 6), (–1, 1)</em>

7 0
2 years ago
If you know that a &lt; b, and both a and b are positive numbers, then what must be true about the relationship between the oppo
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What ever number A is, it is going to be less than whatever number B is.
8 0
2 years ago
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Which of the following options have the same value as 60\%60%60, percent of 949494?
garri49 [273]
<h2>Answer:</h2>

The correct options are:

        Choice A

       Choice C

and  Choice E

<h2>Step-by-step explanation:</h2>

We are asked to find the value of:

                   60% of 94

We know that: it is represented as:

  60\%\ of\ 94=\dfrac{60}{100}\times 94\\\\\\=0.6\times 94

Choice A)

           0.06\cdot 940

We know that:

    0.6\times 94 could also be written as:

0.06\times 940

Since we multiplied and divide by 10 such that:

=0.6\times 94\times \dfrac{10}{10}\\\\\\=\dfrac{0.6}{10}\times (94\times 10)\\\\\\=0.06\times 940

Hence, option: A is correct.

Choice B)

                  0.6\cdot 940

This option is incorrect.

Since by choice A we get that the correct expression is:   0.06\cdot 940

Choice C)

             We get:

        \dfrac{3}{5}\cdot 94

This option is correct.

Since,

60\%\ of 94\ is:\\\\\\=\dfrac{60}{100}\cdot 94\\\\\\=\dfrac{3}{5}\cdot 94

Choice D)

                             60\cdot 94

This option is incorrect because the actual expression is:

         0.6\cdot 94

Choice E)

               [/tex]\dfrac{60}{100}\cdot 94[tex]

This is the correct expression.

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2 years ago
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A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean
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Answer: 0.0026

Step-by-step explanation:

Given: Mean : \mu=8.4\text{ hours}

Standard Deviation : \sigma = 1.8\text{ hours}

Sample size : n=40

Formula to calculate z-score :-

z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For X=7.6 hours.

z=\dfrac{7.6-8.4}{\dfrac{1.8}{\sqrt{40}}}=-2.81091347571\approx-2.8

P(X

Hence, the probability that their mean rebuild time is less than 7.6 hours = 0.0026

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Explain what it means to have a correlation in a scatterplot.
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Answer:

A correlation exists in a scatter plot if there is a general trend in the outputs as inputs increase. If the outputs generally increase in value, then there is a positive correlation. If the outputs generally decrease in value, then there is a negative correlation. 

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