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tensa zangetsu [6.8K]
3 years ago
9

Find 2 2/3 / 4 1/3 . Simplify the answer and write as a mixed number if appropriate.

Mathematics
2 answers:
Delvig [45]3 years ago
8 0
2 2/3 ÷ 4 1/3 = 8/13
SSSSS [86.1K]3 years ago
3 0
Turn both fractions to improper.

2 2/3 = multiply whole number by the denominator. which is 6. now add the numerator with 6. and this equals to 8. now use 8 as a numerator and keep the same denominator. so it should be 8/3. 

Do the same thing for 4 1/3 and you get 13/3.

now you both have improper fractions. 

= 8/3 divided by 13/3 . 

flip the second fraction, : 13/3, and this is called reciprocal. 

And turn the division sign to multiplication. 

= 8/3 x 3/13

multiply both numerators and denominators.

8 x 3 = 24 

3 x 13= 39

now you have 24 / 39

you can further simplify it. both are divisible by 3.

24 divided by 3 is 8

39 divided by 3 is 13

Now your fraction remain as: 8/13.

This is the farthest it can simplify. so your answer is 8/13.

thank you for posting your answer here on brainly, have a great day!

Please mark as brainliest so i can answer more! :)
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Maths!
Ber [7]

Answer:

(1) Variance = 4.5 and Standard deviation = 2.121.

(2) Variance = 4.5 and Standard deviation = 2.121.

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged.

Step-by-step explanation:

We are given with the following set of data below;

              X                     X-\bar X                   (X-\bar X)^{2}

              5                   5 - 8 = -3                     9

              5                   5 - 8 = -3                     9

              8                   8 - 8 = 0                      0

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

             10                  10 - 8 = 2                     4

              9                   9 - 8 = 1                       1

              9                   9 - 8 = 1                       1

         <u>     6     </u>              6 - 8 = -2             <u>        4       </u>          

Total <u>    72     </u>                                         <u>       36       </u>

<u>Firstly, the mean of the above data is given by;</u>

              Mean, \bar X  =  \frac{\sum X}{n}

                              =  \frac{72}{9}  = 8

(1)Now, the variance of the given data is;

            Variance  =  \frac{\sum (X-\bar X)^{2} }{n-1}

                                  =  \frac{36}{9-1}  = 4.5

So, the standard deviation, (S.D.)  =  \sqrt{\text{Variance}}

                                                        =  \sqrt{4.5} = 2.12

(2) Now, each value is added by 2; so the new data set is given by;

              X                     X-\bar X                   (X-\bar X)^{2}

              7                   7 - 10 = -3                     9

              7                   7 - 10 = -3                     9

             10                  10 - 10 = 0                     0

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

             12                  12 - 10 = 2                     4

              11                  11 - 10 = 1                       1

              11                  11 - 10 = 1                       1

         <u>     8     </u>              8 - 10 = -2             <u>        4       </u>          

Total <u>    90     </u>                                         <u>       36       </u>

<u>Firstly, the mean of the above data is given by;</u>

              Mean, \bar X  =  \frac{\sum X}{n}

                              =  \frac{90}{9}  = 10

(1)Now, the variance of the given data is;

            Variance  =  \frac{\sum (X-\bar X)^{2} }{n-1}

                                  =  \frac{36}{9-1}  = 4.5

So, the new standard deviation, (S.D.)  =  \sqrt{\text{Variance}}

                                                                =  \sqrt{4.5} = 2.12

(3) The effect on the measure of dispersion if each value is changed uniformly ​is that it remains unchanged as we see in the case of variance or standard deviation.

4 0
3 years ago
What is the benefit of dividing out greatest common factors (GCFs) before multiplying?
Nina [5.8K]
Lets get an example, for this example lets use 24/30 x 30/60
Without dividing out GCFs  you would get 24x12 over 30 x 60 which is 288/1800
With dividing out GCFs you get 2/1 x 5/1 Which is 7 :)
7 0
3 years ago
Read 2 more answers
Help me with algebra
Keith_Richards [23]
20 because 70 divide by  = 35
8 0
3 years ago
Consider two​ investments, one earning simple interest and one earning compound interest. If both start with the same initial de
Len [333]

Answer:

Ratio between balances will be:

(x*(1+i)*n)/(x*(1+i)^n)

Where;

x = deposit

%i = interest rate annual

n = years

Step-by-step explanation:

Lets say first deposit is x$ for both investment and annual interest rate for both investment are %i. Also, they stayed under i interest in n years:

Total balance for simple interest is:

Total balance=x*(1+i)*n

How ever total balance for compound interest is:

Total balance=x(1+i)^n

6 0
3 years ago
Please Help!!!!!!!<br> Simplify (√5)(3√5).
kirill [66]

The answer is 15

multiply 3sqrt(25)

3*5=15

7 0
3 years ago
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