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MariettaO [177]
3 years ago
15

What are the dimensions of the cross section formed by

Mathematics
1 answer:
saw5 [17]3 years ago
4 0

Answer:

rectangle, 5,4

Step-by-step explanation:

i just did the assignment and got it right

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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
11 months ago
Find the slope and y intercept of the graph of the graph of each equation.
AleksandrR [38]
Solve each equation for y and then the slope is m and y-intercept is b as in:
y = mx+b

So, if you do that, you'll get (remember, this is <em>after</em> solving for y):
1. m = -6, b = -2
2. m = 5, b = -1
3. m = -5/3, b = 5
4. m = 0, b = -1/4
5. m = -1, b = -3
6. m = 3, b = -4
7. m = 1/2, b = -5/2
8. m = 7/2, b = 1

Hope this helps.
7 0
3 years ago
Read 2 more answers
Brainleiest What is the unit rate for 692.08 ft in 21.1 s? Enter your answer, as a decimal, in the box. ft/s
ale4655 [162]

Answer:

Unit rate is 32.9561 feet per second.

Step-by-step explanation:

Unit rate is a number where one quantity is represented so that the other quantity is 1.

So we can give the unit rate of this as number of feet per 1 second.

It has traveled 692.08 ft in 21.1 seconds.

We have to find how many feet it travels in 1 second.

Unit rate = Number of feet / Number of seconds

=\frac{692.08feet}{21.1seconds}

=32.9561 feet per second

4 0
3 years ago
Read 2 more answers
20 is a factor of 24 true or false
igor_vitrenko [27]
False, 20 is not a factor of 24
3 0
2 years ago
Read 2 more answers
In my packet the question were ivan had just open a small coffee shop the bottom question I really need help with it I am strugg
olga_2 [115]

There's no attachment.

5 0
2 years ago
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