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Mademuasel [1]
2 years ago
7

Two less than 2 times a number is the same as the number plus 64. What is the number?

Mathematics
2 answers:
hammer [34]2 years ago
5 0

Let n be the number unknown


2(n)-2=n+64


Use distribute property to remove parenthesis

2n-2=n+64


Move all n term to left side


2n-n-2=64


Combine like terms with n


N-2=64


Now add integer to right side by doing opposite sign


N = 64+2


Solve for n


N=66


Your number is 66


To check you substitute


2(66)-2=66+64

130. =130


sineoko [7]2 years ago
4 0

What is 3 times the number?

3*66 = 198

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Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
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Answer:

The number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean is:

 CI=\bar x\pm z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}

The margin of error for this interval is:

 MOE= z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}

The information provided is:

<em>σ</em> = $569

MOE = $140

Confidence level = 95%

<em>α</em> = 5%

Compute the critical value of <em>z</em> for <em>α</em> = 5% as follows:

 z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the sample size required as follows:

MOE= z_{\alpha/2}\ \frac{\sigma}{\sqrt{n}}  

       n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}

          =[\frac{1.96\times 569}{140}]^{2}\\\\=63.457156\\\\\approx 64

Thus, the number of business students that must be randomly selected to estimate the mean monthly earnings of business students at one college is 64.

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