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2 years ago

If 10 men can complete a piece of work in 30 days how many men are requiredto complete the same job in 25 days?

1 answer:

3 0

We must assume that all workmen work at the same rate, and keep it up forever.

More men ==> fewer days

so the proportion is: 30/25 = x/10

Cross-multiply the proportion:

300 = 25 x

Divide each side by 25 :

x = 300/25 = <u>12 men</u>

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the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

Find the missing side of the triangle

Katena32 [7]

$\\ \sf\longmapsto sin\theta=\dfrac{Perpendicular}{Hypotenuse}$

$\\ \sf\longmapsto sin74=\dfrac{n}{40}$

$\\ \sf\longmapsto n=40sin74$

$\\ \sf\longmapsto n=35(0.96)$

$\\ \sf\longmapsto n=38.4$

7 0

1 year ago

(z:9)*15-47=28 plz !!!

nikitadnepr [17]

I hope this helps you

4 0

2 years ago

How to solve the equation <br> 3/7 *49=x

rjkz [21]

Answer:

x=21

Step-by-step explanation:

well, geez - just do the math!

3/7 * 49 = 21

8 0

3 years ago

A candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randoml

Otrada [13]

Answer:

Option B

Step-by-step explanation:

Given that a candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randomly sample packages from multiple batches at one factory.

Because he resorts to only one factory, there may be bias in the sample. Other factories may have different processes of the settings and also if a diversified sample is taken then it is likely to represent the whole population, and hence results would be more accurate

Option A is incorrect since only one factory was done

C and D are not selected because one factory result cannot be generalised to all other factors in the same country or outside.

So answer would be

B) No, because the other factories may have different processes or the settings

7 0

2 years ago