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3 years ago

Find the median and mean of the data. Which reflects the best measure of the center? 8,8,9,9,9,9,9,10,10,40

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

The mean is 12.1 and the median is 9.

To find the mean you add together all the values (8,8,9,9,9,9,9,10,10,40) and divide the sum (121) by the number of values there are (10). Thus making the mean 12.1.

To find the median, you sort the values numerically, and find the middle-most number. When doing so, you find that there are 2 numbers in the middle of this value set (since there are an even number of values). Since the 2 left-over values are 9, the median is 9.

I hope this helps!

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The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

2 years ago

How many times greater is 10 cubic yards tha. 5 cubic yard

Tpy6a [65]

I don’t know if the answer is rite but imma guess 5

4 0

3 years ago

Beth read a total of 12 books over 7 months.

givi [52]

She has been with her book club for 49 months.

Step-by-step explanation:

Books read = 12 books

Time period = 7 months

Therefore,

12 books = 7 months

1 book = $\frac{7}{12}\ months$

Books read so far = 84 books

Total time period = x

84 books = x months

1 book = $\frac{x}{84}\ months$

Using both unit rates;

$\frac{x}{84}=\frac{7}{12}\\x=\frac{7}{12}*84\\x=\frac{588}{12}\\x=49\ months$

She has been with her book club for 49 months.

Keywords: Unit rates, multiplication

Learn more about multiplication at:

#LearnwithBrainly

8 0

3 years ago

Betty has $33 to buy plants for her greenhouse. Each plant costs $8. How

meriva

Answer:

4 plants

Step-by-step explanation:

If betty has $33 dollars and each plant is $8, than 33/8 ≈ 4

(8 * 4 is 32)

She will have one dollar left but she can't buy another plant since that's not enough.

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2 years ago

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aliina [53]

Answer:

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Step-by-step explanation:

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