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3 years ago

How do you turn a remainder into a decimal

1 answer:

4 0

So lets say for example you have 4 remainder 2. To turn that into a decimal you have to divide the whole number by the remainder to make to fraction. So now you have 4 2/4 which is the same as 4 1/2. To turn the fraction into a decimal you do 100 divided by the denominator (2) which is 50, and then multiply by the top numerator (1). Now you add on the whole number (4) onto your other number/100 (50/100=0.5) to make 4.5.

Examples:

5 remainder 4:

4/5 = (100/5 x 4) 20 x 4 = 80

80/100=0.08

0.08 + 5= 5.08

If you have a denominator that goes into 10 easily (2, 4, 5, 10) then you just have to multiply the numerator (top number) by the same number as the bottom to make 10, and then just turn that into a decimal:

Example:

4 remainder 3:

3/4 x 2.5 = 7.5/10

=75/100 = 0.75

0.75 + 4 = 4.75

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4 years ago

A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average s

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$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

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".

$\bar X=150000$ represent the sample mean

$\mu$ population mean (variable of interest)

s=15000 represent the sample standard deviation

n=35 represent the sample size

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=35-1=34$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,34)".And we see that $t_{\alpha/2}=2.032$

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

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

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4 years ago