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bazaltina [42]
2 years ago
9

Add −1 3/10 + 2/5 using the number line.

Mathematics
2 answers:
Ray Of Light [21]2 years ago
6 0

Start at - 1 3/10 then subtract 2/5 and you would get your answer your answer should be a negative

algol [13]2 years ago
3 0

Answer:

\dfrac{-9}{10}

Step-by-step explanation:

The given expression is

-1\dfrac{3}{10}+\dfrac{2}{5}

Simplify the mixed fraction.

-\dfrac{1(10)+3}{10}+\dfrac{2}{5}

-\dfrac{13}{10}+\dfrac{2}{5}

Taking LCM, we get,

\dfrac{-13+2(2)}{10}

\dfrac{-9}{10}

In the given number line each unit = 1/5.

Location of each number is shown in the below number line.

The number -1\dfrac{3}{10} is midpoint of -1\dfrac{2}{10} and -1\dfrac{4}{10}. It means the number -1\dfrac{3}{10} lies at the mid of -1\dfrac{1}{5} and -1\dfrac{2}{5}.

In the below number line red dots represent the given numbers and green dot represents the answer.

Therefore, the simplified form of given expression is \dfrac{-9}{10}.

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100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The
Marta_Voda [28]

Answer:

The median is Median  =  0.903

Step-by-step explanation:

From the question we are told that  

   The sample size is n =  100

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    Generally since that after 0.900 we have  0.901 , then the

     46^{th} \  measurement \  is  \  0.901

in the same manner the  47^{th} \  measurement \  is  \  0.902,

Given that 0.902  was observed three times it means that

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Given that 0.903  was observed two times it means that

                                          50^{th},51^{th} \  measurement \  is  \  0.903,

Given that 0.903  was observed four times it means that

                                         52^{nd},53^{rd},54^{th},55^{th} \  measurement \  is  \  0.904,

Given that the highest measurement is  0.958 then then the  56^{th} \to  100^{th} \  measurement \  is  \  between \  0.905 \to 0.958

Generally the median is is mathematically represented as

            Median  =  \frac{ [\frac{n^{th}}{2}]  + [(\frac{n}{2})^{th} + 1 ]}{2}

=>        Median  =  \frac{ [\frac{100^{th}}{2}]  + [(\frac{100}{2})^{th} + 1 ]}{2}

=>        Median  =  \frac{ [50^{th}]  + [51^{th} ]}{2}

=>        Median  =  \frac{ 0.903 + 0.903}{2}

=>        Median  =  0.903

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2 years ago
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FromTheMoon [43]
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3 0
2 years ago
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Answer:

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Step-by-step explanation:

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tankabanditka [31]

Answer:

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Step-by-step explanation:

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