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defon
3 years ago
13

Use the fact that 4.86 : 0.45 = 10.8. Find 4.86 : 4.5 without dividing. Explain your work

Mathematics
2 answers:
kow [346]3 years ago
7 0

Answer:

Hence, the value of expression (2) is ⇒ 1.08.

Step-by-step explanation:

We are given a fact such that:

4.86 : 0.45=10.8  ------(1)

Now we are asked to find the value of the mathematical expression:

4.86 : 4.5  --------(2) without actually dividing.

We could clearly see that the numerator in both the mathematical expression is same only there is a difference in there denominator.

The denominator in second expression is just a multiplication of the denominator of first expression by 10.

Hence we divide both side of expression (1) by 10 to obtain the expression (2).

i.e. 4.86: (0.45×10)=10.8:10

i.e.  4.86: 4.5= 1.08

Hence, the value of expression (2) is 1.08.



kondor19780726 [428]3 years ago
7 0

Answer:

Step-by-step explanation:

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224/16 = 14

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1) 18h = 252
You divide each side by 18, so you can get "h" alone on a side, and its value on the other side of the equation.
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Same Thing, you divide each side by 31, so you can get "d" alone on a side, and its value on the other side of the equation.
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3) 55c = 385
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You divide each side by 50, so you can get "w" alone on a side, and its value on the other side of the equation.
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As you can notice, they all follow the same steps: dividing by the coefficient of the variable both sides, so you can the variable alone on the first side of the equation, and its value on the second side.

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Step-by-step explanation:

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3 years ago
Sample annual salaries​ (in thousands of​ dollars) for employees at a company are listed. ​(a) Find the sample mean and sample s
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Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The value is attached in the image file please find it.

In point a:

First, we calculate the find the mean,

Formula:

\to Mean (\bar{x}) = \frac{( \sum x)}{n}

                   =\frac{540}{13}\\\\ = 41.54

To calculate the standard deviation, subtract the mean value from all observations then square its value:

SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\   = \sqrt{ \frac{339.2308}{13-1}}

                             = \sqrt{ \frac{339.2308}{12}}\\\\= \sqrt{28.269}\\\\=5.31

please find attached file

In point b:

New x_i = 1 x_i + 0.05 x_i = 1.05 x_i

Calculate new mean:

\to \bar{x} = \frac{\sum x}{n} \\

       =\frac{567}{13} \\\\= 43.62

calculating the standard deviation:

SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\   = \sqrt{ \frac{374.0022}{13-1}}

                             = \sqrt{ \frac{374.0022}{12}}\\\\= \sqrt{31.16}\\\\=5.58

please find attached file

In point C:

Calculate new mean:

\to \bar{x} = \frac{\sum x}{n} \\

       =\frac{47.25}{13} \\\\= 3.46

calculating the standard deviation:

SD = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}} \\   = \sqrt{ \frac{2.5975}{13-1}}

                             = \sqrt{ \frac{2.5975}{12}}\\\\= \sqrt{0.216}\\\\=0.46

please find attached file

In point d:

for b,

New \bar{x}= 1.05 \bar{x}= 1.05(41.54) =43.62

News= 1.05s= 1.05(5.31)=5.57

for c,

New\bar{x}= \frac{ \bar{x}}{12}= \frac{41.54}{12} = 3.46

New s = \frac{s}{ 12} = \frac{5.31}{12}= 0.44

4 0
4 years ago
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