All categories

2 years ago

Given the data set (18,14, 12, 14, 11, 11, 19, 20, 16, 11), which statements are correct?

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

6 0

The correct statement is that the <u>range of the data is 9</u>

<h3>Range of a data</h3>

The formula for calculating the range of data is expressed as:

Range = Highest value - Lowest value

From the given data

Highest value = 20
Lowest value = 11

Substituting into the formula

Range = 20 - 11

Range = 9

Hence the correct statement is that the <u>range of the data is 9</u>

Learn more on range here: brainly.com/question/2264373

You might be interested in

What is the vaule or r + t when r= -12, and t =-8

Tems11 [23]

The answer to your question is -20 i hope this helps!

3 0

3 years ago

Read 2 more answers

Consider a sample with a mean of 30 and a standard deviation of 5. Use chebyshev's theorem to determine the percentage of data w

RSB [31]

With the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

<h3>What is Chebyshev's theorem?</h3>

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem.

Numerous other probability distributions can be applied to this theorem.

Chebyshev's Inequality is another name for Chebyshev's Theorem.

One of many theorems established by Russian mathematician Pafnuty Chebyshev is known as Chebyshev's theorem.

According to Bertrand's postulate, there is a prime between n and 2n for every n.

So, the percentage of data within 15 to 45 is:

In this instance, we're looking for numbers between 15 and 45.

Since 30 -3*5 = 20 and 30 + 3*5 = 45, we are therefore within 3 deviations of the mean. So, since k = 3, we can find the percent as follows:

% = (1 - 1/3²) × 100 = 88.88% = 89%

Therefore, with the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

Know more about Chebyshev's theorem here:

brainly.com/question/28482338

#SPJ4

5 0

7 months ago

If the circumference of a circle measures 3/4 π cm, what is the area of the circle in terms of π?

Vinil7 [7]

$\bf \textit{circumference of a circle}\\\\
C=2\pi r~~
\begin{cases}
r=radius\\
-----\\
C=\frac{3\pi }{4}
\end{cases}\implies \cfrac{3\pi }{4}=2\pi r
\\\\\\
\cfrac{3\pi }{4(2\pi )}=r\implies 
\boxed{\cfrac{3}{8}=r}\\\\
-------------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad \qquad \implies A=\pi \left( \boxed{\frac{3}{8}} \right)^2\implies A=\pi \left( \cfrac{3^2}{8^2} \right)
\\\\\\
A=\cfrac{9\pi }{64}$

5 0

3 years ago

true or false:the points (6,13),(21,33),(99,137)all lie on the-same line. the equation of the line is y=4/3x +5

Anit [1.1K]

The answer is true.

Step-by-step explanation:

To find the points all lie on the same line, we need to substitute the points in the equation of the line, to determine if the values on both sides of the equation are equal.

Substituting the point $(6,13)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\13 &=\frac{4}{3}(6)+5 \\&=4(2)+5 \\&=8+5 \\13 &=13\end{aligned}$

Thus, the values on both sides are equal. The point $(6,13)$ lie on the same line.

Substituting the point $(21,33)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\33 &=\frac{4}{3}(21)+5 \\&=4(7)+5 \\&=28+5 \\33 &=33\end{aligned}$

Thus, the values on both sides are equal. The point $(21,33)$ lie on the same line.

Substituting the point $(99,137)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\137 &=\frac{4}{3}(99)+5 \\&=4(33)+5 \\&=132+5 \\137 &=137\end{aligned}$

Thus, the values on both sides are equal. The point $(99,137)$ lie on the same line.

Thus, all the three points lie on the same plane.

Hence, the answer is true.

6 0

2 years ago

What dose the product of any whole number factor multiplied<br> by 100 always have explain

Svetllana [295]

It always has zeros in the tens and ones place

8 0

3 years ago