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kotykmax [81]
3 years ago
8

How to subtract Fractions

Mathematics
2 answers:
IgorC [24]3 years ago
8 0
<span>Make sure the bottom numbers (the denominators) are the same.Subtract the top numbers (the numerators). Put the answer over the same denominator.Simplify the fraction (if needed).</span>
max2010maxim [7]3 years ago
8 0
Here is an Example of how to subtract fractions.

5/6 - 1/3 = ?

First we convert 1/3 into sixths so we do this: 1/3 x 2/2 = 2/6
then we put 2/6 back into the equation like so: 
5/6 - 2/6 = 3/6 then we reduce 3/6=1/2 <---Answer
Hope this helped you understand how to subtract fractions :D
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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}&#10;The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

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 values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
The number of words defined on pages randomly selected from a dictionary are given below. Find the range and standard deviation
faltersainse [42]

Answer: The range of the set of numbers is 46 and the standard deviation is 14.44 .

Explanation:

In is given that the observations are 65, 59, 43, 43, 40, 63, 71, 77, 31, 64.

From given data it is noticed that the highest observation is 77 and the lowest observation is 31.

Range = Highest observation - Lowest observation

Range = 77 - 31 = 46

To find the standard deviation, first we have to find the mean.

\text{Mean}={\frac{\text{Sum of observation}}{\text{Total number of observations}}

Total of the observations is 556 and number of observation is 10.

\text{Mean}=\frac{556}{10}=55.6

Formula fr standard deviation is,

\sigma =\sqrt{\frac{\sum (x-mean)^2}{n}}

To find the above values form a table as shown below.

\sigma =\sqrt{\frac{2086.4}{10}}

\sigma =\sqrt{208.64}

\sigma =14.44

Therefore, the range of the set of numbers is 46 and the standard deviation is 14.44 .

7 0
3 years ago
Please need help, Will give brainiest!!!!
timurjin [86]
I'd say its D but im not quite sure, its what makes most sense to me.
6 0
3 years ago
Write an addition equation and multiplication equation that each have a solution of -5.
Nookie1986 [14]
Kenejsnsnsnsndmdmdmsksmsmsk
4 0
3 years ago
Read 2 more answers
On Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold w
melisa1 [442]
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers 
you solve for x and get 4x= 428 and x=107

so 321 hamburgers were sold that day.
5 0
3 years ago
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