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Delicious77 [7]
2 years ago
6

M% of n write a expression

Mathematics
1 answer:
goblinko [34]2 years ago
4 0

The <u>percentage</u> of a given <em>number</em> in another implies the fraction of the given <em>numbe</em>r to that other number <em>with respect </em>to 100%. Thus the required <u>expression</u> is: \frac{m}{100} x n


When a given number is written in<em> percentage</em>, it implies that the<em> fraction</em> of the number to the<u> total </u>number in relation to 100%. For example, to determine the <em>percentage</em> of a number r in s, -we have:

\frac{r}{s} x 100%

Therefore in the given question, the required <em>expression</em> is;

m% = \frac{m}{100}

So that;

m% of n can be <em>expressed</em> as;

\frac{m}{100} x n

For further clarifications on percentage, visit: brainly.com/question/843074

#SPJ1

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Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom
ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

b) The 99% confidence interval would be given by (4.969;6.431)    

c) We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) 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 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1.9 represent the population standard deviation

n=45 represent the sample size  

2) Part a

The best estimator for the population mean is given by the sample mean \hat \mu = \bar X = 5.70

3) Part b. Develop a 99 percent confidence interval for the population mean.

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 0.95 or 95%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

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

5.7-2.58\frac{1.9}{\sqrt{45}}=4.969    

5.7+2.58\frac{1.9}{\sqrt{45}}=6.431

So on this case the 99% confidence interval would be given by (4.969;6.431)    

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline  sold to his customers is between 4.969 and 6.431.

4 0
3 years ago
The adjustment of the thickness of the lens to make close vision possible is ca​
Savatey [412]

Answer: Accommodation

Step-by-step explanation:

Accommodation is the adjustment of the optics of the eye to keep an object in focus on the retina as its distance from the eye varies.

4 0
3 years ago
Find the length of the arc
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Answer:

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Step-by-step explanation:

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Answer:

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4 0
2 years ago
Read 2 more answers
Can somebody please solve this for me and show the work? it doesn't look too hard I'm just dumb.​
lana [24]

Answer:

x = 7

Step-by-step explanation:

  • vertical angles are pairs of opposite angles made by intersecting lines. and they are congruent

x + 16 = 4x - 5

x - 4x = - 5 - 16

- 3x = - 21

- x = - 21/3

- x = - 7

x = 7

hope it helps

and please just focus on your questions and use knowledge

8 0
3 years ago
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