AnswerBABY BAYBY OOOOH
Step-by-step explanation:
Question 1
Part a) 9 Athletes are running the 200M event. How many ways can the first three finishers be awarded medals? Show your work using the Permutation or Combination formula for full credit.
Part b) You have 10 photos to arrange in an art gallery, where there are 5 spaces to place them. How many ways can they be arranged? Show your work using the Permutation or Combination formula for full credit.
Part c) Write an original word problem of your own creation that uses a combination and the numbers 8 and 4. Also state the solution. You may not use a pizza-themed scenario.
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.
If the order is important, the permutation formula is used.If the order is not important, the combination formula is used.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
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16
Answer:
y = -1/2x - 8
Step-by-step explanation:
You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.
2y = -x - 16
Now you want 1y instead of 2y. So divide everything by 2.
y = -1/2x - 8
A train is moving at 65.0 m/s. After 16.0 seconds, it is moving at 85.0 m/s. What is the acceleration?
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...
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
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
what color is my shirt?? PLEASE HELP I FORGOT
Answer:
um
Step-by-step explanation:
Answer:
Its white! atleast i think its white because your pfp has white clothes on
4 An item is priced at $14.05. If the sales tax is 4%, what does the item cost including sales tay?
Answer:
$14.61
Step-by-step explanation:
14.05 * 1.04 = 14.612
Solve the system of linear equations y= 2x -3Y= x + 6
Answer:
x=9, y=15. (9, 15).
Step-by-step explanation:
y=2x-3
y=x+6
----------
2x-3=x+6
2x-x-3=6
x-3=6
x=6+3
x=9
y=9+6=15
Write TWO different equations that you could use to solve for x. You don't need to solve.
Answer:
see explanation
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos52° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (1)
The 3rd angle in the triangle is
180° - (90 + 52)° = 180° - 142° = 38°
Using the sine ratio in the right triangle
sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (2)
Fred has 32 ounces of cookie dough. If he used 0.56 ounces of cookie dough for each cookie, what is a reasonable estimate of how many cookies he can make?
Answer:
57 cookies
Step-by-step explanation:
32/0.56= 57.14
Help me plzzzz
Graph y = -3x + 7.
Answer:
This is the graph. Hope the pic loads.
Skyler is helping his mother plan a wedding breakfast for his older sister, Jessica. They
are expecting 63 family members to attend, and they are using round tables that seal 8
guests each. How many tables will be needed to seat 63 people?
What do I do with the remainder?
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.
What would be the inverse function of g(x)=1/x-1 ? Thanks in advance.
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
Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 5 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?
A.
-10 cents
B.
25 cents
C.
-25 cents
D.
10 cents
Answer:
B
Step-by-step explanation:
5x5 = 25
She used 5 bags and saved 5 cents on each one.
1 - 5, 2 - 10, 3 - 15, 4 - 20, 5 - 25.
Hope that helps
Find the value of x and the perimeter of the following shapes:
Answer:
x=2, perimeter=14
Step-by-step explanation:
Finding x
(x+1)(x+2)
x^2+2x+x+2=12
x^2+3x-10
x^2-2x+5x-10
x(x-2)5(x-2)
(x+5)(x-2)
x=-5
x=2
Length or Width should be a positve number.
x=2
Perimeter:
3+3+4+4=14
To the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. Use 3.14 for π.
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 :)
anybody help please hehehe
Answer:
It is the second one 20^247
Step-by-step explanation:
7m 28cm ÷8= something cm
Answer:
4cm
Step-by-step explanation:
it this the answer you were looking for?
Answer:
91cm
Step-by-step explanation:
7m to cm =700m
28cm+700cm=728cm
728cm/8=91cm
A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $6 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars, that the company is paid. The expression is?
Answer:
3000 +219d
Step-by-step explanation:
The food booth rental revenue is ...
11(100 +9d) = 1100 +99d
The game booth rental revenue is ...
20(95 +6d) = 1900 +120d
Then the total revenue is ...
(1100 +99d) +(1900 +120d) = 3000 +219d
Tiffany babysits to earn extra money. She charges a fee of $15 per hour for one child, and then an added $30 overall for each additional child. If she wants to make a total of $150 this week, babysitting a family with 4 children, what is the minimum number of hours she can work for?
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!
which equation is equivalent to -2 (x+3) - 4x = 10?
Answer:
-6x -6= 10
Step-by-step explanation:
-2(x +3) -4x= 10
Expand:
-2(x) -2(3) -4x= 10
-2x -6 -4x= 10
Simplify:
-6x -6= 10
Thus, the second option is correct.
Which description best describes the three-dimensional object
that is formed when the shape is rotated about the axis as
shown?
Answer:
cylinder
Step-by-step explanation:
a cylinder would be formed, as the rotation forms a circular base and a rectangular body which can be seen in a cylindrical net.
Answer: A Hollow Cylinder
Will give thank,brainly and 5 stars!
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!
12x+15y=-45 put into slope-intercept form, simplify all fractions.
Answer:
y = -4/5 x - 3
Step-by-step explanation:
15y = -45 - 12x
5y = -15 - 4x
y = -4/5 x - 3
which of the following equations could be parallel to the equation x = 5
A. y = 5x
B. x = -2
C. y = 5
D. y = x
Answer:
B
Step-by-step explanation:
x = 5 is the equation of a vertical line parallel to the y- axis
The equation of a line parallel to it must have the same form, that is
x = - 2 ← vertical line parallel to x = 5
what is 21-3+18 divided by 6=6 equal
ehhehehehe u will never find out
Answer:
I really :3? i’m up for a challenge
Step-by-step explanation:
21 - 3 = 18
18 + 18= 36
36/6= 6
hope this helped!
I need help with this question
Answer:
Option D
Step-by-step explanation:
a^2 + b^2 = c^2
5^2+b^2=9^2
25+b^2=81
b^2=56
b=2√14
.guys can you solve anything please
Answer:
3.a)2[tex]\sqrt[3]{2}[/tex]
5.a) x=2
Step-by-step explanation:
Answer:
1. If 3^x = 1 then x =0
Step-by-step explanation:
3^0 = 1
3. 2, 9 3, 7, 5, the median is 5
4.3,5,3,4,3 the mode is 3
5. A cube whose volume is 8^3 =(512cm^3)
3. B
Use substitution to solve each system of equations
2x -y = 6
-3y = -6x + 18
8x7= something x0.1
please help me
let something = x
[tex]8 \times 7=x \times 0.1 \\ x = \frac{8 \times 7}{0.1} \\ x = \frac{8 \times 7 \times 10}{1} \\ x = 560[/tex]
therefore, something = 560
correct answer:-8x7= 560 x0.1What is a good estimate for 380% of 20
Answer:
380 divided by 20 is your answer
Step-by-step explanation:
Answer:
The answer is 76. The estimation would be 80.
Step-by-step explanation: