Eight people enter a race. If there are no ties, in how many ways can the first two places come out

1 answer:

8 0

Since there is no ties:

The 1st place could be obtained in 8 ways (each one could be first)
Now that the 1st place is occupied, the remaining pretenders to te 2nd place are 7 people

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Solve<br> 8 - (2x - 9) = 17-24

Nikolay [14]

Answer:

x=12

Step-by-step explanation:

8-(2x-+9)=17-24

8-2x=17-24-9

8-2x=-7+-9

8-2x=-16

-2x=-16-8

-2x=-24

x=-24/-2

x=12

8 0

3 years ago

Read 2 more answers

Calculate the mean given the frequency table

DaniilM [7]

Answer:

~15.55 is the mean.

Step-by-step explanation:

The class of frequency is given as 0-9, 10-19 and 20-29.

First of all, let us taken middle value of class:

$\dfrac{0+9}{2} = 4.5$

$\dfrac{10+9}{2} = 14.5$

$\dfrac{20+9}{2} = 24.5$

Formula for mean:

$\text{Mean = } \dfrac{\sum (m \times f)}{\sum f}$

where f is the frequency

and m is the mean value calculated in above step (4.5, 14.5 and 24.5)

The frequencies are given as:

4.5 - 24

14.5 - 20

24.5 - 32

Putting the values in above formula:

$Mean = \dfrac{4.5\times 24+14.5\times 20 +24.5\times 32}{24+20+32}\\\Rightarrow \dfrac{108+290+784}{76}\\\Rightarrow \dfrac{1182}{76} \\\Rightarrow 15.55$