there are 15 finalist in a singing competition. the top five singers receive prizes. how many ways can the singer finish first through fifth

Answers

Answer 1

Answer:

The singers can finish first through fifth in 360360 ways.

Step-by-step explanation:

The order of the singers is important, because they are ranked by positions. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

Top five singers, from 15 finalists. So

[tex]P_{(15,5)} = \frac{15!}{(15-5)!} = 360360[/tex]

The singers can finish first through fifth in 360360 ways.


Related Questions

what is the deep meaning of slope

Answers

Step-by-step explanation:

the slope or gradient of a line is a number that describes both the direction and the steepness of the line. 

Mr. Marlon pays minimum wage to the cashiers in his store. If minimum wage is $7.25 per hour, how much does a cashier make who works 40 hours per week?

Answers

Answer:

$290

Step-by-step explanation:

Because 7.25×40=290

Find the value of the power.

7^4 =

Answer:

Answers

Answer:

2401

Step-by-step explanation:

7*7*7*7=2401

Answer:

28

Step-by-step explanation:

What is the median of the following data set?
{13, 18, 13, 14, 13, 16, 14, 21, 13}
A. 13
B. 13.5
C. 14
D. 15

Answers

I think that the question should have asked mode so mode is A 13

The median of the data is 14

What is median?

The median is the middle number in an ordered data set.

Given:

{13, 18, 13, 14, 13, 16, 14, 21, 13}

First all the data according to ascending order, we get

13, 13, 13, 13, 14, 14, 16, 18, 21

So, the median is the 5th term which is 14.

Learn more about median here:

https://brainly.com/question/17126196

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Find the vertex of the parabola defined by the following equation. 3x^2-12x+11

Answers

Answer:

y= 3(x-2)^2-1

Step-by-step explanation:

You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see Exercises 1.1.6 and 1.1.7). Let X be your winnings and Y be her winnings. Compare E(X), E(Y ), and V(X), V(Y). What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color

Answers

Answer:

E(x)  = -$0.05263

E(y) = -$0.05263

V(x) = 0.9972

V(y) = 32.23

the expectations are the same, both will lose the same amount of money if they play for 38 times.

Though Variance is different. The girl betting on colors has little chance to gain  and lose but the boy betting on number has huge deviation

Step-by-step explanation:

Given that; you place a 1-dollar bet on the number 17 at Las Vegas and your friend places a 1-dollar bet on black.

Let x represent your winnings and y represent your friends winnings

we know that, There are 18 black slots, 18 red slots and two green slots (0 and 00) on a US roulette wheel.

so, the chances of getting black(red) = 18/38

now, E(y) = (18/38)$1 + (20/38)(-$1)

E(y) = -$0.05263

Now, bets made on the chart of the various numbers 1 to 36 and zero, Just put a chip down in the middle of the square with the number you select. If it comes up, it pays 35-to-1. It is called a straight up bet.

hence, the chance of getting selected number will be 1/38

so E(x) will be;

E(x) = (1/38)$35 + (37/38)(-$1)

E(x)  = -$0.05263

So, V(x) will be;

V(x) = [ 1 - (1/19)² ]

= 1 - 0.00277

V(x) = 0.9972

V(y) = { [ (35)² × (1/38) ] - (1/19)² }

= 32.2368 - 0.00277

V(y) = 32.23

Therefore, the expectations are the same, both will lose the same amount of money if they play for 38 times.

Though Variance is different. The girl betting on colors has little chance to gain  and lose but the boy betting on number has huge deviation.

Rachel is purchasing a condominium and is financing $485,000 with a 30-year 6/1 ARM at 4.95% with a 1/10 cap structure. What will her payments be at the beginning of year 7?

Answers

Answer: Rachel's payment will be $2,588.78

Step-by-step explanation:

Given that;

Loan amount L = $485,000

number of months n = 30 × 12 = 360

Interest rate per month C = 4.95 / (100 × 12) = 4.95/1200 = 0.004125

Now, using the formula

P = L[ c ( 1 + c )ⁿ / ( 1 + c )ⁿ - 1 )

we substitute

P = 485,000 × [ 0.004125 ( 1 + 0.004125 )³⁶⁰ / ( 1 + 0.004125 )³⁶⁰ - 1 )]

P = 485,000 × [ 0.01815619 / 3.4015 ]

P = 485,000 × 0.0053377

p = 2,588.78

Therefore, Rachel's payment will be $2,588.78

Answer:

$2845.65

Step-by-step explanation:

yurr

Let f(x) = 8x - 7.
What is (4)?
A.39
B.25
C.32
D.36​

Answers

the correct answer would be b.25

The average smoker typically pays 15% higher life insurance costs than the average non-smoker. If the monthly cost to a non-smoker is $500 dollars per month, how much would the average smoker pay per month for the same life insurance policy?


a) $500.15

b) $515.00

c) $533.00

d) $575.00

Answers

Answer:

$75

Step-by-step explanation:

The average smoker pay 15% life insurance than the non-smoker

The monthly cost of a non-smoker is $500 per month

Therefore the amount that would be paid by the average smoker in a month can be calculated as follows

= 500 × 15/100

= 500 × 0.15

= 75

Hence the amount to be paid is $75

Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard deviation of 4 miles per hour. estimate the percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.​ (assume the data set has a​ bell-shaped distribution.)

Answer: 99.7

Answers

Answer:

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 66miles per hour

Given that the standard deviation of the Population = 4 miles per hour

Let 'X' be the random variable in normal distribution

Let x= 62

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{62-66}{4} =-1[/tex]

let x=70

[tex]Z = \frac{70-66 }{4} = \frac{70-66}{4} =1[/tex]

Step(ii):-

The probability that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = P(-1≤Z≤1)

                  = P(z≤1) -P(Z≤-1)

                 = P(Z≤1)+P(Z≤1)

                 = 2×P(Z≤1)

                 = 2×0.3438

                 = 0.6876

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76

PLZ HELP ME What shape is this cross-section?

Answers

Answer:

i'm not sure if i'm right but think is cube

can someone help plssss

Answers

Answer:

Step-by-step explanation:

11y-36=63

11y=99

y=9

AABC is reflected across the x-axis.
What is the new location of point B?
0 (-4,-2)
0 (4, -2)
O (4,2)
0 (-4,2)

Answers

The answer is (4,2)

This is because when every anything is reflected over the x-axis the coordinate goes from (X,Y) to (X,-Y). Since the original coordinate is (4,-2) the new coordinate is (4,2).

ANSWER ASAP:

Rupesh is mowing grass to save money for a vacation. He charges $12 20
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation?

Answers

Answer:

Step-by-step explanation:

12y + 40 ≥ 148

12y ≥ 108

y ≥ 9

Rupesh must mow at least 9 more yards to have

the $148 he needs.

A bottle holds 48 teaspoons of vanilla. The amount of vanilla remaining in the bottle decreases by 2 teaspoons per
batch of cookies. How much vanilla remains after 12 batches of cookies

Answers

Answer:

24 teaspoons

Step-by-step explanation:

2 times 12 = 24

48 - 24 = 24

8
Fill in the ratio table, where all ratios are equivalent.
А
B
4
9
20
18
24
26
28
99

Answers

Answer:

i think that looks right

Step-by-step explanation:

what do you have to do??

Amanda has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number
of grapes. Mark all that apply.
8 to 5
8:13
F8
13

Answers

Answer:

8 to 5

dassit

Step-by-step explanation:

bc for every 5 graped u hv 8

How do I go back to my account from Saturday?
Every 3 Sundays my computer has to re-set so I lost my account and I want to go back to it. Can you help me?

Answers

Answer:

Save the password and username of brainly, and the next time it happens you just have to login from the information (password and username) you saved. You won't lose your account then.

Hope this helps you!

Step-by-step explanation:

Write the rational number as a decimal. 7 over 40

Answers

Answer:

0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.

Answer: 0.175

Step-by-step explanation:

Please
All steps
Trigonometry

Answers

The side opposite and the hypotenuse are used so you would use sin(29)=14.2/y
Which becomes y=14.2/sin(29) hence =29.28984782 cm. round it as per necessary

Which of these are like terms in the following expression:
3x + 7 + 9x + 24y + 2x2
O 7, 24y
0 3x, 9x
O 3x, -9x
O 3x. -9x, 2x2

Answers

Answer:

The second one (3x, 9x)

Step-by-step explanation:

Like terms are the terms that either have the same variable or have no variable.

3x and 9x are the like terms in the given expression.

The given expression is 3x+7+9x+24y+2x².

What are like terms?

Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other

In the expression 3x+7+9x+24y+2x²

Terms 3x and 9x have the same variables and their exponents also same.

So, 3x and 9x are like terms

Therefore, 3x and 9x are the like terms in the given expression.

To learn more about the like terms visit:

https://brainly.com/question/14557679.

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Why is the grandma across the street beating up a dude.

1. She a gangster
2. She was robbed
3. That's her ex she f.cked cause he was young
4. She crazy

Answers

i got you, 3, am i right

The RMS Titanic has 2,224 people on board ship (including children). There was only enough lifeboat space for 1.178 people.
What is the probability of survival? List as a whole percent​

Answers

Answer:31.6

Step-by-step explanation: 31.6 percent survived and 53.4 could have!

Please help!!!!!!!!!!!!!!!!!!!!!

Answers

Collect like terms:
You have 2 with mn so 9mn - 9mn =0
You also have 2 with m4n so -19m4n - 12m4n = -31m4n
Put it together:
-31m4n -8m2
So C
Let me know if you have any questions

Will give brainliest

Answers

Answer:

.c

Step-by-step explanation:

Which fraction is in simplest form? ​3/12​ ​5/10​ ​2/3​ ​4/6

Answers

Answer:

2/3 is in simplest form, the other three fractions can be reduced

2/3 is the simplest form. 3/12 can be reduced by 3. 5/10 can be reduced by 5. And 4/6 can be reduced by 2.

Write a story that could represent this math problem.

4x 3/8

Answers

Answer:

id.k  im sorry

Step-by-step explanation:

3х + 4 = 9x - 8
What is the value of X to make the equation true?

Answers

Answer:

x=2

Step-by-step explanation:

When completely factored, 8x + 2y - 4

Answers

Answer:...

-4+8x+2xy

Step-by-step explanation:

The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.

Answers

Answer:

the answer would be 49

Step-by-step explanation:

they need to sell 49 to get their money back and make the 400 dollar goal

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