Nine runners are entered in a 100-meter dash for which a gold, silver, and bronze medal will be awarded for first, second, and third place finishes, respectively. In how many possible ways can the medals be awarded?

Answers

Answer 1

Answer:

504

Step-by-step explanation                                                                                                                          

9 people can get first x 8 runners left to win second x 7 who can still get third

Answer 2

There are 504 possible ways, the medals be awarded.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given Nine runners are entered in a 100-meter dash for which a gold, silver, and bronze medal will be awarded for first, second, and third place finishes, respectively.

The first position can be taken by any of the 9 runners

Now, the second position can be taken by remaining 8 runners

while the third position can be taken by the renaming 7 runners.

Therefore the number of ways in which these medals can be awarded;

= 9 x 8 x 7 = 504 ways

There are 504 possible ways, the medals be awarded.

Learn more about multiplications;

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Related Questions

please help me !! i beg u !!!!!!!!!!!!!!!!!!!

Answers

Answer:

D.10÷3

Step-by-step explanation:

ir you try dividing the number 10 by 3 you would get 3.333333 non-stop.

3. Find the rate of change in the represented table.

Answers

Answer:   14

Explanation:

Pick two columns from the table to form the (x,y) points.

I'll pick the last two columns, since everything is positive here. So we have the points (2, 17) and (4, 45)

Apply the slope formula to those points

m = (y2 - y1)/(x2 - x1)

m = (45 - 17)/(4 - 2)

m = (28)/(2)

m = 14

The rate of change is 14.

Maria fills up her car at the gas station for $38.24 and purchases a drink for $1.99. If she pays with a $50 bill, how much change will Maria receive

Answers

Answer:

big money

Step-by-step explanation:

A group of t tourists visits a museum. Thirty of the tourists go to see a planetarium show. The remaining tourists are divided evenly into 4 groups to tour the exhibits. How many tourists are in each group that tours the exhibits?

(t – 30) tourists

(t/4-30) tourists

1/4(t-30) tourists

1/4(t+30) tourists

Answers

lamo thought it said terrorists

What is the slope of a line perpendicular to the line with a slope of 35? Question 1 options: 35 −35 53 −53

Answers

Answer:

35

-35

because perpendicular lines have the opposite slope

A cyclist travels 7 miles in 15 minutes.
What is her average speed in mph?
mph

Answers

Answer:

28mph

Step-by-step explanation:

Consider the function below. Find f(x) = 32.

f(x) = 3x-1

Answers

Answer:

f(32) = 95

Step-by-step explanation:

f(32) = 3(32)-1

f(32) = 96 - 1

f(32) = 95

Hope this helped!

So it should be 95 I believe. Because 3 x 32= 96 and 96 - 1 is 95

Does anyone know how to inverse operations BC I NEED HELP PLZ AND FAST! PLZ my life depends on it.

Answers

Answer:

I can give you some examples of inverse operations:

addition is the inverse operation of subtraction

multiplication is the inverse operation of division

taking the square root is the inverse operation of squaring

Iron has a density of 7.87 g/cm^3. What is the mass of a block of iron that is 2cm x 10cm x 5cm?

Answers

Answer:

2x10x5

V = 100 cm3

D = 7.87 g/cm3

M = 7.87x100

= 787g

heyyyy help me out please? don’t scam please!

Answers

Answer:

D

Step-by-step explanation:

I think it is D, pretty sure

can some please help me, I have no idea what the answer is

Answers

Answer:

f(0)= 3-2^0 --> 3-1 =2

f(-1)= 3 - 2^-1  --> 3 - 1/2 -->5/2 = 2,5

Step-by-step explanation:  F(0) means if x=0 so the first you just take x and replace it with 0 and the second you replace x by -1.

Something that is elevated by 0 is always going to be 1  

Hope this make sense :)

I need help with this question asap. can someone plz help me: ​

Answers

Answer B
Explanation: substitute all the Ns for 4s then solve
3(4)+7/(4)= 12+7/(4)= 19/4= 4.75

Solve the following equation:
3x^2=-12
A. X=2
B. X=-2
C. No real solution
D.x=+2

Answers

https://socratic.org/questions/how-do-you-solve-3x-2-12

go to this site

Answer:

X= -1.333333333 and so on.

Step-by-step explanation:

3X^2 is 9X

So 9X= -12

Divide both sides by 9 to create 0 pairs

Answer is X= -1.3333333333

Please solve. I will mark as brainliest if right.

Answers

Answer:

Try B

Step-by-step explanation:

b or c....................

The sales tax rate in New Mexico is $5.125%.

A pair of pants in New Mexico costs $30 before tax.

Answers

Answer:

The tax is $1.54 and the price after tax is $31.54

Step-by-step explanation:

Percentages

The procedure to add a percentage ratio p to a given quantity q is:

* Calculate the increase as i = p*q/100

* Add the increase to the original quantity to get the final quantity f=q + i

It's given the sales tax rate in New Mexico is p=5.125%. A pair of pants in New Mexico costs q=$30 before tax.

* The increase (tax) is i = (5.125*30)/100 = $1.54

* The price after tax is f = $30 + $1.54 = $31.54

The tax is $1.54 and the price after tax is $31.54

7b + 15 +4 it says write two equivalent expressions.Help

Answers

Answer:

1. 4b+3b+15+4

2. 7b+19

Step-by-step explanation:

Both are equivalent expressions :))

A local clothing store has hats on sale at 4 hats for $20. At this rate, how many hats can be bought with $160?

Answers

Answer:

32 hats

Step-by-step explanation:

20÷4=5 so now you know a hat is 5 dollars so then you do 160÷5= 32

Write an equation in point-slope form of the line
that passes through (6,2)

Answers

Answer:

Can't answer this, need 2 points or more information

Step-by-step explanation:

Since an instant replay system for tennis was introduced at a major tournament, men challenged 1425 referee calls with the results that 412 of the calls were overturned. Women challenged 739 referee calls, and 221 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenge referee calls and the second sample to be the sample of female tennis players that challenged referee calls. What are the null and alternative hypotheses for the hypothesis test.

Answers

Answer:

CI = (-0.0445, 0.0225)

there is no sufficient evidence to men and women have equal success in challenging calls

Step-by-step explanation:

Sample size for men; n1 = 1425

Number of success for men; x1 = 412

Sample size for women; n2 = 739

Number of success for women; x2 = 221

Significance level; α = 0.05

Sample proportion for men;

p1 = x1/n1 = 412/1425

p1 = 0.2891

Sample proportion for women;

p2 = x2/n2 = 221/739

p2 = 0.2991

From tables, z-score at significance level of 0.05 is 1.96.

Formula for margin of error is;

E = z√[(p1(1 - p1)/n1) + (p2(1 - p2)/n2)]

Plugging in the relevant values;

E = 1.96√[(0.2891(1 - 0.2891)/1425) + (0.2991(1 - 0.2991)/1425)]

E = 1.96 × 0.0170687

E = 0.0335

Coordinates of the confidence interval will be;

[(p1 - p2) - E], [(p1 - p2) + E]

[(0.2881 - 0.2991) - 0.0335], [(0.2881 - 0.2991) + 0.0335]

CI = (-0.0445, 0.0225)

This means that the confidence interval contains 0 since it's between (-0.0445 and 0.0225). Thus we can conclude that there is no sufficient evidence to men and women have equal success in challenging calls

Which lists the angles angles from least to greatest .

Answers

Answer:

answer A

Step-by-step explanation:

if you can look at it closely it you can see that the lines are closer together with P and you go to R thay are abit further apart and Q is the furthest apart

How long will it take for $6400 to grow to $43,800 at an interest rate of 3.4% if the interest is compounded continuously?
Round the number of years to the nearest hundredth.

Answers

Answer:

57.53years to the nearest hundredth

Step-by-step explanation:

For compound interest,A=P(1+r/100)^t

where r=rate of interest

t= investment tenor

$43800=6400(1+3.4/100)^t

which simplifies to 57.5250≈57.53 to the nearest hundredth

James had 508 books to put into 9 boxes. how many books were in each box? Explain.​

Answers

Answer:

56

Step-by-step explanation:

508/9=56.444...

you can't have .444444 books so you round it to the whole, which is 56

Is the order pair (3,-4) a solution of the system of linear equations x+y=1 and -6x-3y=-3

Answers

↝ A single coordinate point must make both equations true in order for the point to be a solution.

Substitute x = 3 and y = -4 in both equations.

[tex]3-4=1\\-1=1[/tex]

The equation isn't true. Therefore, this isn't the solution for the system.

[tex]-6(3)-3(-4)=-3\\-18+12=-3\\-6=-3[/tex]

The equation isn't true for this one.

Conclusion ↝ The (3,-4) isn't the solution.

which of the following is an irrational number​

Answers

Answer:

the last sum is the only irrational number

Step-by-step explanation:

sum 1 = 12

sum 2 = 1

sum 3 = 0

I need help with this

Answers

Answer:

no

Step-by-step explanation:

no

You need to substitute where the x and y are at

Need help ASAP! Thanls

Answers

Answer:

B. Angle KJL

Step-by-step explanation:

The only option that is 90 degrees is Angle KJL.

are the two triangles below similar please let me know fast

Answers

Answer:

no because there are not two pairs of congruent corresponding angles

Answer: I think the answer is A but I’m not 100% positive

Step-by-step explanation:

Equation of line graphed below

Answers

i think it’s x=-4

hope this helps

Simplify the following expression: 48÷8(24)−(6−1)2

Answers

Answer: 134

Step-by-step explanation:

j − 47 = 37 what would j =

Answers

Answer:

84

Step-by-step explanation:

37 + 47 = 84

Answer:

10

Step-by-step explanation:

47-37=10

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