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Ulleksa [173]
3 years ago
11

Simplify the following

Mathematics
1 answer:
postnew [5]3 years ago
6 0

Answer:

<h2>see the answers ⤵️</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about</h3>
  • \sqrt{ \frac{x}{y} }  <  =  >  \frac{ \sqrt{x} }{ \sqrt{y} }  \\ and \:  \\  \sqrt{x}  \times  \sqrt{y}  =  \sqrt{xy}
  • PEMDAS

let's solve:

a) \sqrt{ \frac{9}{25} }

\frac{ \sqrt{9} }{ \sqrt{25} }

\frac{3}{5}

b) \frac{ \sqrt{12} }{ \sqrt{3} }

\frac{ \sqrt{12} }{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }

\frac{ \sqrt{12 \times 3} }{ (\sqrt{3} )^{2} }

\frac{ \sqrt{36} }{3}

\frac{6}{3}

2

c) \frac{ \sqrt{15} }{ \sqrt{3} }

\sqrt{5}

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Answer:

B. There is one boy for every 6 girls in class.

Step-by-step explanation:

When you have a ratio, it compares two numbers. When you have a ratio 1:6 the colon (:) there can be read as "is to" or "for every".

That means that ratio can be read as 1 is to 6 or "there is 1 for every 6."

In this case 1:6 represents the number of boys to the number of girls to class. This means that there is 1 boy for every 6 girls in class.

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Factor 20x2+25x-12x-15 by grouping
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Answer:

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Step-by-step explanation:

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A triangle has sides with lengths of 14 centimeters, 36 centimeters, and 39 centimeters. Is it a right triangle?
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Step-by-step explanation:

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Knox made 52,250 blue socks is
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Step-by-step explanation:

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A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine varies and does not fill each can wit
AnnZ [28]

Answer:

12.1-1.64\frac{0.35}{\sqrt{50}}=12.019  

12.1+1.64\frac{0.35}{\sqrt{50}}=12.181  

So on this case the 90% confidence interval would be given by (12.019;12.181)

And we can conclude at 90% of confidence that the true mean is between (12.019, 12.181) and since the lower limit is higher than 12 we can conclude that the specification is not satisfied

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

\bar X=12.1 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=0.35 represent the population standard deviation  

n=50 represent the sample size  

Solution to the problem  

The confidence interval for the mean is given by the following formula:  

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64  

Now we have everything in order to replace into formula (1):  

12.1-1.64\frac{0.35}{\sqrt{50}}=12.019  

12.1+1.64\frac{0.35}{\sqrt{50}}=12.181  

So on this case the 90% confidence interval would be given by (12.019;12.181)

And we can conclude at 90% of confidence that the true mean is between (12.019, 12.181) and since the lower limit is higher than 12 we can conclude that the specification is not satisfied

8 0
3 years ago
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