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
Brrunno [24]
3 years ago
14

Permutation question pictured! Thanks :)

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

3,160,080

Step-by-step explanation:

  • The first place can be taken by any one of the 22 students.
  • The second place can be taken by any one of the remaining 21 students.
  • The third place can be taken by any one of the remaining 20 students.
  • The fourth place can be taken by any one of the remaining 19 students.
  • The fifth place can be taken by any one of the remaining 18 students.

<em>This basically means multiplying 22, 21, 20, 19, and 18. Or, the number of permutation of 22 things taken 5 at a time.</em>

The answer is 22*21*20*19*18 = 3,160,080

<em>Using formula  nPr=\frac{n!}{(n-r)!}=\frac{22!}{(22-5)!}=\frac{22!}{17!}=(22*21*20*19*18)=3,160,080</em>

You might be interested in
Shira counted 330 cars passing through an intersection one afternoon. She found that 3 out of every 10 cars was an SUV. How many
kaheart [24]
If 3 out of 10 cars were SUVs, that means the ratio is \frac{3}{10}

Just multiply that by the total number of cars:

\frac{3}{10}*330 = 99

So the answer is 99 SUVs
5 0
3 years ago
An investment company pays 7​% compounded semiannually. You want to have $24000 in the future. ​ How much should you deposit now
PtichkaEL [24]

Answer: You should deposit about $17014 or little more

Step-by-step explanation:

use the compound interest formula.

A= p( 1 + r/n)^nt

Where A is the amount you will save over some  years .

p is the principal or start up  amount mostly known as the initial fee.

r is the interest rate represent by a decimal so 7% will be 0.07.

n is the number of times the interest is being applied annually. Semiannually means  twice.  So n will be 2.

T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.

24,000 = p( 1 + 0.07/2)^2*5

24,000= p( 1 + 0.035)^10

24000 = p( 1.035)^10

24000 = p( 1.41059876062)  Divide both sides by 1.41059876062

p = 17104  

Which means you should deposit about $17014 or little more

3 0
3 years ago
EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the f
Ymorist [56]

Given:

A combined figure of a triangular prism and a cuboid.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.

So, the volume of the cuboid is:

V_1=length\times width\times height

V_1=6\times 8\times 5

V_1=240

The volume of the cuboid is 240 cubic cm.

The area of a triangle is:

Area=\dfrac{1}{2}\times base\times height

Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:

B=\dfrac{1}{2}\times 8\times 4

B=16

The volume of a triangular prism is:

V_2=Bh

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

V_2=16(5)

V_2=80

Now, the volume of the given figure is:

V=V_1+V_2

V=240+80

V=320

Hence, the volume of the finished object is 320 cubic cm.

7 0
3 years ago
PLEASE HELP WITH THIS ONE QUESTION
Snezhnost [94]

Answer:

The fourth option.

Step-by-step explanation:

In the given equation x^2 + 4x + 9 = 0, a=1, b=4, and c=9. The quadratic formula is in the attachment below so if you plug in a, b, and c you get the fourth option.

8 0
3 years ago
What does parallel mean? Can you give an example of things that are parallel?
klasskru [66]

Answer:

  1. Defetion
  2. meaning
  3. number
  4. meters
5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for t using natural logarithms.
    5·1 answer
  • In a large school district, it is known that 25% of all students entering kindergarten are already reading. A simple random samp
    11·1 answer
  • Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is inter
    10·1 answer
  • Pls ANSWER URGENT!!!!
    10·1 answer
  • Plz help me!!! I need this!!! Solve 1.5n ≤ −18
    10·2 answers
  • How am I as a person and a learner of mathematics and science changing my awareness of who mathematicians and scientists are and
    11·1 answer
  • A jewerly store sold a 7.4 gold necklace for 162.18 how much was the necklace worth per gram? round your answer to the nearest t
    10·1 answer
  • This is hard guys helppppp
    5·1 answer
  • Students in a class were asked to name their favorite type of soup. The results are shown in the circle graph. How many times mo
    6·1 answer
  • Describe the correlation you would expect with these data sets.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!