1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ryzh [129]
3 years ago
8

There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being

the last​ stand-up comic of the evening. If this​ performer's request is​ granted, how many different ways are there to schedule the​ appearances?
Mathematics
1 answer:
Korvikt [17]3 years ago
7 0
This is a permutations problem. There are only 7 comics you can move into different time slots, the 8th one being fixed in that last position. So you can look at it this way:
For the 1st position, you can choose from all 7 people. Once you've picked that one, you have 6 people to choose from for the 2nd position, and similarly for the remaining ones . This gives you 7x6x5x4x3x2x1 = 5040 ways to arrange them. And the last comic stays in the same position all the time so does not change this number. Make sense? If you need to demonstrate it to yourself, use a smaller number of comics, like 3 or 4, and write out the combinations to see that it works.
You might be interested in
The ratio of pink to black counters
Nataly_w [17]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa
Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0
3 years ago
I need help. Find the value of each variable.
azamat

Answer:

x=8, y=4\sqrt{3}

Look up the 30-60-90 triangle rule

8 0
2 years ago
Read 2 more answers
Please answer number 6
kondor19780726 [428]

Answer:

its D

Step-by-step explanation:

7 0
3 years ago
During the last ten years oliver has played 1200 games of chess oliver has drawn 6% of the games he has lost 33% of the game cal
Anna [14]

Answer:

6+33=39 now we subtract from 100

100-39=61

He won 61 percent of the games

now we multiply 1200*0.61=732

so he won 732 of the 1200 games

Hope This Helps!!

6 0
3 years ago
Other questions:
  • Q3. Sixteen percent of Americans do not have health insurance. Suppose a simple random sample of 500 Americans is obtained. In a
    14·1 answer
  • 2 Points
    13·2 answers
  • Why are the people who delete questions such A H O L E S
    9·1 answer
  • Multiplying the numerator and denominator of 8/10 by creates the equivalent fraction 40/50
    11·2 answers
  • Radius is 7 cm surface is 880 cm square what is the length of the cylinder?
    15·1 answer
  • 1. Isaiah and Ron work together on their
    11·1 answer
  • Use the rule y= -x + 7 to fill in the blank.<br>if (1,y) is on the graph then y =​
    14·1 answer
  • Frances age is 6 years less than 2 times her sisters age. Frances age is 15 minus her sisters age. How old is Frances?
    14·1 answer
  • It’s says find area of the shape anyone has a clue how to do it
    12·2 answers
  • Asapppppp please i need help i need to pass
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!