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Rudik [331]
4 years ago
13

Why do we use variables, and what is the significance of using them in expressions and equations?

Mathematics
1 answer:
Olin [163]4 years ago
5 0
Variables are letters from the end of the alphabet
Economics always uses the firsts letter of whatever that letter is representing.

<span> An </span>expression<span> such as 4x</span>3<span> is a </span>variable<span>. It can assume different values because x can assume different values.</span>
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Answer:

the first one is 4 and 5

Step-by-step explanation:

the second one is 45 because 15+15+15 is 45, you get 15 by the square root of 225

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Morgarella [4.7K]

Answer: DNE

Step-by-step explanation:

For 1 and 3

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Combine the like terms to create an equivalent expression 2r+1+(-4r)+7
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2r+1+(-4r)+7

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3 years ago
The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean s
a_sh-v [17]

Answer:

<u>Null Hypothesis,</u> H_0 : \mu \leq 14 automobiles per month

<u>Alternate Hypothesis,</u> H_a : \mu > 14 automobiles per month

Step-by-step explanation:

We are given that the manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month.

The manager wants to conduct a research study to see whether the new bonus plan increases sales volume.

<em>Let </em>\mu<em> = population mean sales volume after the new bonus plan </em>

So, <u>Null Hypothesis,</u> H_0 : \mu \leq 14 automobiles per month

<u>Alternate Hypothesis,</u> H_a : \mu > 14 automobiles per month

Here, <u><em>null hypothesis states that</em></u> the new bonus plan does not increase the sales volume as the sales is less than or equal to 14 automobiles per month.

And <em><u>alternate hypothesis states that</u></em> the new bonus plan increases the sales volume as the sales is more than 14 automobiles per month.

<em>Now, conclusion on when the null hypothesis (</em>H_0<em>) can be rejected and when it cannot be rejected is based on two perspectives;</em>

<em />

  1. <u>From test statistics point of view;</u>
  • If the test statistics is more than the critical value of any respective distribution, then we will reject our null hypothesis.
  • If the test statistics is less than the critical value of any respective distribution, then we cannot reject our null hypothesis.

   

     2. <u>From P-value point of view;</u>

  • If the p-value of the test statistics is more than level of significance (\alpha), then we will not reject our null hypothesis.
  • If the p-value of the test statistics is less than level of significance (\alpha), then we will reject our null hypothesis.
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3 years ago
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