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patriot [66]
3 years ago
13

Which data set has the same standard deviation as the data set 3,2,5,6,8

Mathematics
2 answers:
alisha [4.7K]3 years ago
6 0

Answer:

a) 4,3,6,7,9

Step-by-step explanation:

<em>The value of standard deviation does not get affected if we add constant number in every observation.</em>

In the given data set if we add 1 in every observation then we will get same value as given in option (a).

Thus, the standard deviation of both the observation is same.

Also, we didn't get other options by addition and subtraction of any constant value.

Further, Standard Deviation is used to measure spread of the data and it is defined as square of the distance between the observation and mean of the distribution.

anyanavicka [17]3 years ago
4 0
The answer is A) 4,3,6,7,9
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Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact
umka2103 [35]

Solution:

The permutation formula is expressed as

\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\  \end{gathered}

The combination formula is expressed as

\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\  \\  \end{gathered}

where

\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}

Given that 6 objects are taken at a time from 8, this implies that

\begin{gathered} n=8 \\ r=6 \end{gathered}

Thus,

Number of permuations:

\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}

Number of combinations:

\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}

Hence, there are 28 combinations and 20160 permutations.

7 0
1 year ago
| 2(4+6) = how do I solve this?​
podryga [215]

Answer:

20

Step-by-step explanation:

You use the distributive property.

Distribute the 2 to whatever is inside the parentheses. (You will multiply)

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2×6=12

Substitute the answers above into the parentheses.

(8+12)=20

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3 years ago
8 balls cost 16 dollars.how much do 32 balls cost
meriva
8 balls = 16
1 ball = 2
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