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11111nata11111 [884]
2 years ago
8

A coach chooses six out of eight players to go to a skills workshop. if order does not matter, in how many ways can he choose th

e players for the workshop?
Mathematics
2 answers:
fiasKO [112]2 years ago
6 0

Answer: There are 28 ways to choose the players for the workshop.

Step-by-step explanation:

Since we have given that

Number of players to go to a skills workshop = 8

Number of players a coach chooses = 6

We need to find the number of ways he could choose the players for the workshop .

So, we will use "Combination Method":

^8C_6,\text{ here n= 8 and r=6}\\\\=\frac{8!}{6!\times 21}\\\\=\frac{8\times 7}{2\times 1}\\\\=4\times 4\\\\=28

So, there are 28 ways to choose the players for the workshop.

Mashutka [201]2 years ago
3 0
He can choose 28 different ways<span />
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On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours. Find both the miles driven per hour and the hours driven per mil
amid [387]

Miles driven per hour is 60 miles per hour

Hours driven per mile is 0.01667 hours per mile

<em><u>Solution:</u></em>

Given that,

On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours

Therefore,

Miles driven = 210 miles

Time\ taken = 3\frac{1}{2}\ hour = \frac{7}{2} = 3.5\ hour

To find: miles driven per hour and the hours driven per mile

<h3><u>Miles driven per hour</u></h3>

\frac{miles}{hour} = \frac{210}{3.5}\\\\\frac{miles}{hour} = 60\ miles\ per\ hour

<h3><u>Hours driven per mile</u></h3>

\frac{hours}{miles} = \frac{3.5}{210}\\\\\frac{hours}{miles} = 0.01667\ hours\ per\ miles

Thus both the miles driven per hour and the hours driven per mile are found

7 0
2 years ago
Identify the equation of the circle that has its center at (10, 24) and passes through the origin.
marishachu [46]

Answer:

A )  The Equation of the circle (x−10)2+(y−24)2=676

Step-by-step explanation:

step1:-

The equation of the circle whose center is (a,b) and radius r is

(x-a)^{2} +(y-b)^{2} =r^{2}

(x-10)^{2}+(y-24)^{2}  =676

in this circle equation centre is (g,f) = (10,24)

and formula of radius of a circle is

r = \sqrt{g^{2}+f^{2} -c }

Step2:-

The Equation of the circle (x−10)^2+(y−24)^2=676

5 0
2 years ago
In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space
posledela

Answer: a.) 40320

b.) 336

Step-by-step explanation:

since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.

Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:

8*7*6*5*4*3*2*1 = 40320.

b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:

8*7*6 = 336

5 0
2 years ago
Identify The functional relationship between the variables blank is a function of blank
vfiekz [6]
<h2>Complete Question: </h2>

The energy usage of a light bulb is a function. The input for the function is ___, measured in hours. The output of the function is energy usage, measured in _____. Identify the functional relationship between the variables. ________ is a function of __________. The graph of the function will show energy usage on the ________ axis and time on the _______ axis.

  • Input is <u>time</u>.
  • Output is measured in <u>kilowatts</u>.
  • <u>Energy usage</u> measured in kilowatts is a function of <u>time</u> measured in hours.

The graph representing the function will show:

  • energy usage (kilowatts) on the <u>y-axis</u>
  • time (hours) on the <u>x-axis.</u>

A light bulb as a function expends energy which is measured in kilowatts and it is dependent on time measured in hours.

This implies that, the amount of energy usage of the light bulb is determined by the number of hours the light bulb is turned on.

Thus, energy usage of the light bulb (kilowatts) is a function of time (hours).

Graphing the function, we would plot<em><u> the input (time) on the x-axis, against (output) energy usage on the y-axis.</u></em>

<em>Therefore</em>,

Input = time (hours) - plotted on the x-axis.

Output = energy usage (kilowatts) - plotted on the y-axis.

Learn more about functions here:

brainly.com/question/18738793

4 0
2 years ago
George still has 40 percent of his book to read. If George has read 180 pages, how many pages does he still have to read? How do
beks73 [17]

Answer:  72

Step-by-step explanation:    so you do a line = line method the lines should look like they are fractions.  

you do it for the both numbers the percent is always out of 100.

it should look like this

40%            ?

--------- = -----------    

100%       180

then you cross multiply 40 and 180 and than divide it by 100.   your answer should be 72.    you later replace the ? with 72

you know this because It is smaller than 180 and its bigger than the number 40.

5 0
2 years ago
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