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3 years ago

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Mathematics

1 answer:

Nitella [24]3 years ago

8 0

Answer:

25 feet

Step-by-step explanation:

This is a ratio question.

Say the ratio is object : shadow. Then, the person and their shadow is

5 : 4

If the shadow is 20, then the ratio is

flagpole : 20

How do you go from 4 to 20? You multiply by 5. So, if we multiply the person's height by 5, we'll get the height of the flagpole.

5 * 5 = 25 feet

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muminat

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1: 20

Step-by-step explanation:

9/180 set the problem as a fraction then simplify it.

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Help please explain the answer

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3 years ago

Can someone please help me with this?

fomenos

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Step-by-step explanation:

5. Perimeter of semi circle = r(pi+2)

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3 years ago

What's the range of 37000 and 45000

Galina-37 [17]

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3 years ago

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

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