Easy peace math problem

Using the permutation and the combination formula, we have that:

a) The first three finishers can be awarded medals in 504 ways.

b) They can be arranged in 252 ways.

c) In how many ways can 4 students form a team from a set of 8.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

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

Permutation formula:

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

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

Item a:

Order is important, as the finishers are ranked, hence:

[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]

The first three finishers can be awarded medals in 504 ways.

Item b:

The order is not important, hence:

[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]

They can be arranged in 252 ways.

Item c:

Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.

For more on permutation/combination, you can take a look at https://brainly.com/question/25247153

Answer:

1800 stanley steamer

Step-by-step explanation:

Answer:

Formula?

Step-by-step explanation:

Triangle = Area = 1/2bh

circle = Area = pi x r^2

Hope it helps

Answer: 36132

Step-by-step explanation:

81+283=364

100*364=36400

67*4=268

36400-268=36132

Answer:

Step-by-step explanation:

100*(81+283)-67*5

=36400-268

=36132

Answer:

  angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

  25 +18 +15 +2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360°/60 = 6°.

The 25 destinations in France are represented by a sector that is ...

  25 × 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

  18 × 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

  15 × 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

  2 × 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

__

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

angles: 150°, 108°, 90°, 12°

Step-by-step explanation:

The size of each sector of a pie chart is proportional to the size of the data item being represented. Here, the total of all frequency numbers is ...

25 +18 +15+2 = 60

These 60 are represented in the chart by 360°, so each unit of frequency is represented by 360` = 6°.

The 25 destinations in France are represented by a sector that is ...

25 x 6° = 150°

The 18 destinations in Spain are represented by a sector that is ...

18 x 6° = 108°

The 15 destinations in Greece are represented by a sector that is ...

15 x 6° = 90°

The remaining (Other) destinations are represented by the remaining part of the circle:

2 x 6° = 12°

You can draw the sector dividers in the circle using a protractor or geometry application, or you can let a spreadsheet draw the entire pie chart for you.

The attachment is roughly what the finished product would look like. We have included the angle measures, so you can see what they are. Ordinarily, those would not be present. The labels might include data values or percentages, as you may decide. The purpose is to communicate, so you need to figure what message you want the chart to communicate, and label it appropriately.

Answer:

1. 6 x 16 = 96

2. 10 + 4 x 22 = 10 + 88 = 98

3. 7 x 23 = 161

Step-by-step explanation:

Answer:

15 3/4 = (15*4 + 3)/4 = 63/4

5*(63/4) = 78.74 OR 78 3/4

The  change in the total number of bushels is 78 3/4 bushels.

Answer:

sex

Step-by-step explanation:

69

Answer:

  A.  Function 1

Step-by-step explanation:

The slope of Function 2 can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-8 -(-2))/(3 -0) = -6/3

__

The slope of function 1 can be found by comparing the equation to the slope-intercept equation for a line:

  y = mx + b . . . . . . equation with slope m and y-intercept b

The slope of Function 1 is -7/3.

-7/3 is more negative than -6/3, so Function 1 has the more negative slope.

Answer: Minimum for $150: 2 Hours

Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!

Answer: point E

Step-by-step explanation:

Answer:

57 cookies

Step-by-step explanation:

32/0.56= 57.14

Answer:

Not enough info

Step-by-step explanation:

Not enough info sry

Answer: B. (6,4)

Find x for the 2nd equation

3x + 6y = 42

3x = 42-6y

x= (42-6y) / 3

Place the value of x in the first equation and find for y then.

4x - 3y= 12

4{(42-6y)/3} - 3y = 12

So the answer for y is 4

Now, you know the value of y is 4.

4x - 3*4 = 12

4x - 12 = 12

x= 12+12 /4

x= 6

So x is 6 and y is 4. So the answer is B.

Answer:

Let's solve for x.

x+y+z=8

Step 1: Add -y to both sides.

x+y+z+−y=8+−y

x+z=−y+8

Step 2: Add -z to both sides.

x+z+−z=−y+8+−z

x=−y−z+8

Answer:

x=−y−z+8

Exchanging x and y and isolating y, it is found that the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

The function given is:

[tex]g(x) = y = \frac{1}{x - 1}[/tex]

To find the inverse function, we exchange x and y and isolate y, hence:

[tex]x = \frac{1}{y - 1}[/tex]

[tex]x(y - 1) = 1[/tex]

[tex]xy - x = 1[/tex]

[tex]xy = 1 + x[/tex]

[tex]y = \frac{1 + x}{x}[/tex]

Hence, the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

You can learn more about inverse functions at https://brainly.com/question/16485117

Answer:

You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.

Answer:

The radius would be 11ft.

Step-by-step explanation:

So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.

Hope that helps. x ps. Love the fact the picture is upside down :)

Answer:

1

Step-by-step explanation:

2-5=x-4

subtract the common factors

-3 = x-4

add 4 to both sides so get x by itself

1 = x

The population model is most sufficient for 2005 because 2005 is the closest to 2000

The population function is given as:

[tex]P(x) = 10550(1.1)^x[/tex]

From the question, we understand that the population model is for years after 2000.

This means that the model cannot be used for the year 1950; because 1950 is before 2000.

The model can be used for years 2005, 2025 and 2050.

However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time

Read more about population functions at:

https://brainly.com/question/15680851

Answer:

B!

Step-by-step explanation:

Divide the amount of savings by the percentage off:

12/0.30 = 40

The regular price was $40

The second and last one.

The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.

The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.

Answer:

The second and last one

Step-by-step explanation:

Hope this helps and have a good day!

Happy Holidays!

We can use the following equation to calculate uniform acceleration:

[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]

Plug in the given values to solve:

[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]

Answer:

Hope it will help you...

Step-by-step explanation:

the volume of a prism is

length × width × height

so, for the small prism we have

5 × 4 × height = 100 in³

height = 100/20 = 5 in

for the large prism we have

5 × 4 × height = 200 in³

height = 200/20 = 10 in

the larger prism is 10/5=2 times taller than the small prism.

Answer:

w= 25

Step-by-step explanation:

Cost of water= (w -1)¢

Cost of milk= (2w -11)¢

Let the certain number be x.

x(w -1)¢= 480¢ -----(1)

x(2w -11)¢= 780¢ -----(2)

From (1):

wx -x= 480 -----(3)

From (2):

2wx -11x= 780 -----(4)

(3) ×2:

2wx -2x= 960 -----(5)

(5) -(4):

(2wx -2x) -(2wx -11x)= 960 -780

Expand:

2wx -2x -2wx +11x= 180

9x= 180

Divide both sides by 9:

x= 180 ÷9

x= 20

Substitute x= 20 into (3):

w(20) -20= 480

20w -20= 480

20w= 480 +20

20w= 500

w= 500 ÷20

w= 25

Answer:

b

Step-by-step explanation:

Answer:

38.81cm³

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Diameter is 4.2

radius= 4.2/2 = 2.1 or 21/10

4/3 × 22/7 × 21/10 × 21/10 × 21/10

= 4851/125

= 38.808

≈38.81cm³

81/1000

hope this helps!

Answer: 2.718

Step-by-step explanation:

You don’t need the star there but it is Euchre’s number when you look it up it is 2.718