The value that splits a frequency distribution into two halves, each half with the same number of values, is the ____

Mathematics

1 answer:

anzhelika [568]3 years ago

7 0

Answer:

Median

Step-by-step explanation:

Median divide a frequency distribution in two equal halves. Median lies at the mid point of any frequency distribution data of any values or quantities.

For example if we have any distribution as [5,7,10,15,8,6.65,12,15,2,3] here 6 will be the median of the distribution as 6 lies at the mid point of the distribution

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The volume of a certain right circular cone is 30 cubic inches. What is the volume, in cubic inches, of a second right circular

mrs_skeptik [129]

Answer:

V = 15 in.³

Step-by-step explanation:

The original cylinder has radius r and height h.

V = πr²h

Its volume is 30 in.³, so

πr²h = 30 in.³

The new cylinder has radius (1/2)r and height 2h.

Its volume is

V = π(r/2)²(2h)

V = πr² × 2h/4

V = πr²h/2

πr²h is the volume of the original cylinder, and it is 30 in.³.

V = 30 in.³/2

V = 15 in.³

3 0

1 year ago

The perimeter of a semicircle is 5.14 feet. What is the semicircle’s area?

hammer [34]

$\bf \textit{circumference of a semi-circle}\\\\
C=\pi r\qquad 
\begin{cases}
r=radius\\
-----\\
C=5.14
\end{cases}\implies 5.14=\pi r\implies \boxed{\cfrac{5.14}{\pi }=r}\\\\
-------------------------------\\\\
\textit{area of a semi-circle}\\\\
A=\cfrac{\pi r^2}{2} \implies A=\cfrac{\pi }{2}r^2\implies A=\cfrac{\pi }{2}\left( \boxed{\cfrac{5.14}{\pi }} \right)^2
\\\\\\
A=\cfrac{\pi }{2}\implies \cfrac{5.14^2}{\pi ^2}\implies A=\cfrac{26.4196}{2\pi }\implies A=\cfrac{13.2098}{\pi }$