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Scilla [17]
3 years ago
12

If you were given the data set $s $10, $10, $12, $13, $15, which measure of central

Mathematics
1 answer:
Katarina [22]3 years ago
7 0

Answer:  Mode

<u>Step-by-step explanation:</u>

The given data set is:    10, 10, 12, 13, 15

Mean is the average - find the sum of the data set and divide by the number of terms in the set: \dfrac{10+10+12+13+15}{5} =\dfrac{60}{5}=12

Mean = 12

Median is the middle term (when the data set is ordered from least to greatest).

Median = 12

Mode is the term that appears the most.

Mode = 10

Since you want to show that the prices are low, you would choose the lowest value.  10 is lower than 12, so the Mode is lower than either the Mean or the Median.

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Find two numbers, if their sum is 3 and their difference is 21
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The two numbers are -9 and 12

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-9+12=3 12--9=12+9=21

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What is the next term in this geometric sequence<br>5/6,5/9,10/27,20/81
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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
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Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



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