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4 years ago

13

To raise money for charity,Polly climbs the 1,776 steps in the CN Tower in Toronto,Canada.If it takes her 40 minutes to complete

the climb,what is Polly's average rate per minute?

1 answer:

Romashka [77]4 years ago

5 0

The Average Is 44.4 Steps

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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

Please please please help me

Kazeer [188]

Answer:

2nd option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

P (- 8, 1 ) → P' (- 8, - 1 )

Q (- 6, - 8 ) → Q' (- 6, 8 )

R (4, - 3 ) → R' (4, 3 )

5 0

3 years ago

A recipe calls for 2 1/2 cups of flour to make 24 cookies how many cups of flour would be required to bake 15 dozen cookies

Citrus2011 [14]

15 dozen = 180 cookies

180 ÷ 24 = 7.5

7.5 x 2.5 = 18 3/4 cups of flour

7 0

3 years ago

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CAN SOMEONE HELP ME PLEASEREE

crimeas [40]

It’s a) 51

51
+49
———
100

6 0

3 years ago

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Which number represents 50% of 74?<br> 35<br> 37<br> 38<br> 39

oksian1 [2.3K]

35 or 37 represent 50% of 74

3 0

3 years ago

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