Answer:
Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.
If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.
The number of permutations of n objects taken r at a time is determined by the following formula:
P(n,r)=n!(n−r)!
Example
A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?
A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:
P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040
In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:
C(n,r)=n!(n−r)!r!
Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?
Step-by-step explanation:
Karen and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?
Answer:
Amount of water in each balloon = 300 milliliter
Step-by-step explanation:
Given:
Amount of water used in balloon = 6 liter
Number of water balloon = 20 balloon
Find:
Amount of water in each balloon
Computation:
Amount of water used in balloon = 6 x 1000
Amount of water used in balloon = 6,000 milliliter
Amount of water in each balloon = Amount of water used in balloon / Number of water balloon
Amount of water in each balloon = 6,000 / 20
Amount of water in each balloon = 300 milliliter
A shot put throwing area is composed of a throwing circle and a sector of a larger concentric circle. The standard measurements for the diameter of the throwing circle, the radius of the sector, and the central angle of the sector are shown in the diagram below. What is the area of the composite figure? Use a problem-solving model. No answer provided . 193.69 b. 190.36 C 3.58 d. 181.21
Answer:
193.69
Step-by-step explanation:
?????? Cos ?? I don’t know the difference between cos and tan fully yet , but ASAP help here
The answer is M
Step-by-step explanation:
Cosine: this is the length of the side right next to the angle divided by the longest side/ hypotenuse.
Tan: this is the length of the side opposite of the angle divided by the side directly adjacent/ next to the angle.
In this case, cosine would be 6/10 which Is also 3/5. the angle right next to 6 is Angle M
Aunt Betty uses oranges and pineapples to make 12 pounds of fruit salad. If oranges weigh 0.5 pounds each and pineapples weigh 2 pounds each, and she uses 21 fruits in all, find the number of oranges and the number of pineapples she uses
define variables and write two equations to model the situation described in the problem
Answer:
pecuniary purveyors organization irreversible
A spinner has 6 equally divided sections labeled A, B, C, D, E and F. After spinning the spinner, a number cube is rolled. What is the probability that the spinner will land on a consonant and the number cube will land on a number greater than 2?
Answer: [tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given
The spinner has 6 equal sections A, B, C, D, E, and F
The two events occurred one after the other. So, the probability is the product of the probabilities of each event.
There are two consonants in the given 6 letter
The probability of landing over a consonant is
[tex]P_1=\dfrac{2}{6}[/tex]
The number greater than 2 in a cube are 3,4,5,6
So, probability corresponding to it
[tex]P_2=\dfrac{4}{6}[/tex]
So, the required probability is
[tex]\Rightarrow P=P_1\times P_2\\\Rightarrow P=\dfrac{2}{6}\times \dfrac{4}{6}\\\\\Rightarrow P=\dfrac{8}{36}\\\\\Rightarrow P=\dfrac{2}{9}[/tex]
solve for x
i really need help
Answer:
x =10
Step-by-step explanation:
angles are equivalent
170 = 2x + 6x + 90
170 - 90 = 8x +90 - 90
80 = 8x
10 = x
please help it's missing and I need to complete it
[tex] = ( - \dfrac{1}{2} ) \times ( - \dfrac{1}{2} ) \times ( - \dfrac{1}{2} ) \\ = ( - \frac{1}{2} ) ^{3} [/tex]
It's done...
Which of the following cannot be the probablity of an event?
4
9
0-0.7
1.31
4
9
0.00
9
1.00
0.3
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is 4,9,0-0.7,1.31,4,9 and 9.The probability of an event if from 0 to 1.
hope this helps,have a great day!!
~Pinky~
can someone answer this w²+7w-18
Answer:
Using the "AC Method" I got (w - 2) (w + 9)
Step-by-step explanation:
Answer:
(w−2)(w+ 9)
Step-by-step explanation:
Grouping
Step 1:
Use the sum-product pattern
w² + 7 − 18
w² + 9 − 2 −18
Step 2:
Common factor from the two pairs
w²+ 9 − 2 − 18w
( w+ 9) − 2( w+ 9)
Step 3:
Rewrite in factored form
(w + 9) − 2( w+ 9)
(w−2)(w+9)
A factory made 100 packs of gum. 80% of the packs contained mint-flavored gum. How many packs of mint gum did the factory make?
Answer:
80 packs
Step-by-step explanation:
Find 80% of 100 which is 80
Answer:
80
Step-by-step explanation:
100 x 0.8 (the percentage) = 80
help I don’t know the answer
Which of the following lists is in order from least to greatest?
A. -2, 5, 4, 3^2
B. -2, 4, 3^2,5
C. 5,4, 3^2, -2
D. -2, 3^2, 4, 5
Answer:
Are you sure the question is right?
Which option shows the measure of the unknown angle,x and how to find it
Answer:
E) 37
Step-by-step explanation:
The total measurement for the angle ABC is 90 as it is a right angle.
Add your known angles together and substract from 90 to get your unknown.
90 - 21 - 32 = 37
Answer:
E. Subtract 21 and 32 from 90, x=37
Step-by-step explanation:
Since there are 90 degrees in a right angle, we can find the missing angle by adding the two angles we have together and then subtracting the sum from 90.
Given the function f(x) = 0.65x + 117, what
s the x-value of the zero?
Answer:
x = -180
Step-by-step explanation:
0 = 0.65x + 117
-117 = 65x/100
cross-multiply to solve for 'x':
65x = -11700
x = -11700/65
x = -180
Solve for the missing side. Your answer should be in simplest radical form.
HELPP ME ASAP PLS ):
Answer:
4√4123
Step-by-step explanation:
2. Find the surface area of the cone in terms of pi.
A. 33pi ft
B. 60pi ft
C. 53pi ft
D. 47pi ft
Answer:
I think the answer is C. 53pi ft
Step-by-step explanation:
SOMEONE PLEASE HELP ME !! THANK YOU
answer has to be in simplest radical form!
find v
Help me pookie dookie
Answer:
1/4
Step-by-step explanation:
poooooooooooooooooooooooooooooooooooookie doooooooooooooooooooooooooooooooookie
A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?
Answer:
89 if you pay 11$ to go to the museum for Justin 1$
Step-by-step explanation:
100 - 11 = 89.
please help i have no clue how to this any tips appreciated:))
Answer:
[tex] \displaystyle PW = \underline{ \quad18 \quad}[/tex]
Step-by-step explanation:
by tangent property we acquire:
[tex] \displaystyle 3x - 6 = x + 10[/tex]
add 6 to both sides:
[tex] \displaystyle 3x= x + 16[/tex]
cancel x from both sides:
[tex] \displaystyle 2x= 16[/tex]
divide both sides by 2:
[tex] \displaystyle x= 8[/tex]
so,
[tex] \displaystyle PW = 3x - 6[/tex]
plug in the got value of x:
[tex] \displaystyle PW = 3.8 - 6[/tex]
simplify multiplication:
[tex] \displaystyle PW = 24- 6[/tex]
simplify Substraction:
[tex] \displaystyle PW =18[/tex]
hence, The measure of PW is 18 unit
Write each ratio in simplest terms.
a) There were 10 pizzas for 15 people.
c) There are 20 quarters in $5.00.
e) There were 12 doughnuts for 6 people.
g) There are 40 dimes in $4.00.
i) There are 600 s in 10 min.
b) There are 72 h in 3 days.
d) At the banquet 40 people sat at 5 tables.
f) There are 60 girls for every 80 boys.
h) There are 500 cm in 5 m.
j) There are 60 nickels in $3.00.
a) 2:3
c) 4:1
e) 2:1
g) 10:1
i) 60:1
b) 24: 1
d) 8:1
f) 3:4
h) 100:1
j) 20:1
Step-by-step explanation:
a) 10:15 then divide each by 5 bc its a common denominator
c) 20:5 then divide each by 5 bc its a common denominator
e) 12:6 then divide each by 6 bc its a common denominator
g) 40:4 then divide each by 4 bc its a common denominator
i) 600:10 then divide each by 10 bc its a common denominator
b) 72:3 then divide each by 3 bc its a common denominator
d) 40:5 then divide each by 5 bc its a common denominator
f) 60:80 then divide each by 20 bc its a common denominator
h) 500:5 then divide each by 5 bc its a common denominator
j) 60:3 then divide each by 3 bc its a common denominator
Si los dos triángulos ABC y DFE son proporcionales, ¿Cuál será la longitud del lado DE del triángulo DFE?
Answer:
La respuesta esta abajo
Step-by-step explanation:
Un triángulo es un polígono con tres lados y tres ángulos.
Se dice que dos triángulos son proporcionales si la razón de sus lados correspondientes está en la misma proporción.
de la pregunta, el lado AB es proporcional a DF, AC es proporcional a DE y BC es proporcional a FE
Por lo tanto, dado que ambos triángulos son proporcionales, entonces:
DE / DF = AC / AB
x / 10 = 21/15
x = (21/15) * 10 = 14
Vinny's friend told him that he could earn $49 for delivering newspapers. Vinny
wants to calculate the hourly rate. If he works a total of 3.5 hours, the equation
3.5x = 49 can be used to determine his hourly rate. What would Vinny's hourly rate
be, in dollars?
Answer:
The hourly rate would be 14
Step-by-step explanation:
All you have to do is divide 49 by 3.5, giving you 14 :)
what is the answer
?
In 2 hours, the train will cover 120 miles, in 4 hours, the train will cover 240 miles. The train covered 120 more miles in 4 hours than it did in 2 hours.
Hey I need help, what is the area of this!
Answer:
12 cm^2
Step-by-step explanation:
Here the base and height of a triangle are given. To find the area, we use the formula A = (1/2)(base)(height), which here is
A = (1/2)(8 cm)(3 cm) = 12 cm^2
The measurement of a central angle is θ=240 degrees. Find the measurement of θ in radians.
Answer:
4.189 radians
Step-by-step explanation:
Given data
θ=240 degrees
Let us convert from degrees to radians
Angle in Radian= Angle in degree* π/180
Substitute
Angle in Radian= 240* π/180
Angle in Radian= 4* π/3
Angle in Radian= 4* 3.142/3
Angle in Radian=12.568/3
Angle in Radian=4.189 radians
Which choice correctly describes this event? Every time I flip a coin / will get tails.
A)Certain
B)Impossible
C)Likely
D)Unlikely
Please help ASAP ill give BRAINLIEST
Answer:
D
Step-by-step explanation:
With each flip of the coin, the chance of it landing on tails is multiplied by half. Hence the chance of landing a consecutive series of tails decreases the more times you flip the coin, but never reaches 0.
A is incorrect as it is possible to land heads on any flip.
B is incorrect as there is always a possibility of landing tails on every flip.
C is incorrect as the chance of getting tails on every flip is small (and gets smaller) and hence cannot be considered to be likely.
Hence D is the answer.
What is the surface area of this figure?
Answer:
800 cm squared
Step-by-step explanation:
10 x 15 x 4 = 600 + 10 x 10 x 2 = 200
600 + 200 = 800
HELP ME PLZ AN DTHANK YOU
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
only answer if you know this if i see a link its a report
∞√5±x+5√15x+∞=
Answer:
the exact form is 2/5. the decimal form is 0.4 ig
Step-by-step explanation:
Answer:
this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving
Step-by-step explanation: