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Anestetic [448]
3 years ago
9

An interior painter is painting a wall that is 8 feet by 14 feet. He needs to determine how much paint he will need for the job.

If a pint will cover 40 square feet, how many pints of paint are needed to paint the wall?
Mathematics
1 answer:
dsp733 years ago
7 0
So if you do 8x14=112 is the area. So 112 divided by 40= 2.8. He will need 2.8 pints of paint.
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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.

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Please help me on this one! this is timed
e-lub [12.9K]
42 brotha you gotta cut down the data set until you reach the median
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Which property is this 27x(45+14)=(27x45)+(27x14)
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Answer:

Associative Property

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

I hope this help

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