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:
Consider the conversion of the speed 156 feet per second to kilometers per hour. Which TWO statements are correct? A) 156 ft/s = 11,232 in/min B) 156 ft/s = 112,320 in/min Eliminate C) 156 ft 1s x 1min 60s x 12in 1ft D) 156 ft 1s x 60s 1min x 1ft 12in E) 156ft 1s x 60s 1min x 12in 1ft
I NEED THE ANSWER ASAP
Answer:
If your doing it on usa tp and have a through e is b and e
Step-by-step explanation:
The two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Given the following data:
Speed = 156 feet per seconds.To convert the value of speed in feet per seconds to kilometers per hour:
What is speed?Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).
Conversion:
1 ft/s = 1.09728 km/hr.
156 ft/s = X km/hr.
Cross-multiplying , we have:
[tex]X=156 \times 1.09728[/tex]
X = 171.1757 km/hr.
Note:
1 feet = 12 inches.
156 feet = [tex]156 \times 12[/tex] = 1872 inches.
Next, we would convert this value to inches per minute:
156 ft/s = [tex]1872 \times 60[/tex] = 112,320 inches per minute.
Therefore, the two (2) statements that are correct about this conversion are:
B) 156 ft/s = 112,320 in/min
E) 156ft 1s x 60s 1min x 12in 1 ft.
Read more on speed here: https://brainly.com/question/10545161
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.
which triangle has angle measures of 40 , 50 , and 90?
Answer:
Definitely not the 2nd one. I think it is the first one, the 3rd one looks more like a 45, 45, 90
HELP ASAP!! Find the total area of the figure below. Round your answer to the nearest tenth
Answer:
area = 88 mi²
Step-by-step explanation:
all vertical dimensions = 8/2 = 4 mi
area = (4 x 11.9) +(4 x 6.1) + (4 x 4) = 88 mi²
Extra Credit:
8 congruent spheres are packed into a cube with
edge length x so that each sphere is tangent to 3
faces of the cube and 3 other spheres as shown.
what is the ratio of the total volume of the
spheres of the volume of the cube?
Answer:
Ratio of the volumes of the spheres and cube = 0.523
Step-by-step explanation:
From the figure attached,
Diameter of one sphere = Half of the measure of one side of the cube
= [tex]\frac{x}{2}[/tex]
Radius of the sphere = [tex]\frac{\frac{x}{2}}{2}[/tex]
= [tex]\frac{x}{4}[/tex]
Volume of a cube is given by the formula,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Therefore, volume of one sphere = [tex]\frac{4}{3}\pi (\frac{x}{4})^{3}[/tex]
= [tex]\frac{x^3\pi}{48}[/tex]
Volume of 8 spheres = [tex]8\times \frac{x^3\pi}{48}[/tex]
= [tex]\frac{x^3\pi}{6}[/tex]
Volume of a cube = (side)³
= [tex]x^3[/tex]
Ratio of the volumes of the sphere and cube = [tex]\frac{\frac{\pi x^3}{6} }{x^3}[/tex]
= [tex]\frac{\pi}{6}[/tex]
≈ 0.523
PLEASE HELP ME I REALLY NEED THE ANSWER
1 tickets
2 tickets
3 tickets
4 tickets
Answer:
2 adult tickets
Step-by-step explanation:
we have two relations
[tex]a + c = 5[/tex]
[tex]9a + 4c = 30[/tex]
first rearrange the top equality for one of the variables
[tex]a = 5 - c[/tex]
now substitute into the second equation
[tex]9(5 - c) + 4c = 30[/tex]
perform the distribution and combine like terms
[tex]45 - 9c + 4c = 30[/tex]
[tex]45 - 5c = 30[/tex]
[tex] - 5c = - 15[/tex]
[tex]c = 3[/tex]
place this 3 into our first equation and solve for a
[tex]a + (3) = 5[/tex]
[tex]a = 2[/tex]
Find the missing side length.
PLEASE NO LINKS- I WILL REPORT YOU.
I Need help-
Thank you
Simi bought a study table for $ 9000. She sold it at a profit of 20%. How much profit did she make? What is the selling price?
Answer:
cost price of a table=$9000
profit%=20%
Let profit be x
to find profit use formula,
profit%=profit/cost price*100
20%=x/$9000*100
20*$9000=100x
$180000/100=x
$1800=x
Now to find selling prie os a table use formula,
cost price +profit
$9000+$1800
$91800
therefore selling price of a table is $91800
Step-by-step explanation:
Hope this helps u!!
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12
PLS HELP ITS TIMED TYSM!!!
Heeeeeeelp meeee pleaseeeee
Answer:
755887578787-∵°
Step-by-step explanation:
Confoosed bab here please help ☹️
Answer: it should be 565.5
Step-by-step explanation:
Answer: the volume would be 565.49 rounded 565.5
Step-by-step explanation:
trust i plugged it into a cylinder calculator
the population of hillville grows at an annual rate of 15%. What will the estimated population of hillville be in five years?
Answer:
If a city of population 10,000 experience 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate? The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent.
Step-by-step explanation:
One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work
Answer: 5 and 7.
Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.
First I made a list of numbers that when multiplied equal 35
Then I went through the list and took out all the options that were not one number being 2 more than the other.
The only option left is 5 x 7 (5*7)
what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?
The numbers are 5 and 7.
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
let the first number be 'x'
another number = x+2
According to question,
x(x+2)= 35
x²+2x-35=0
x²+7x-5x-35=0
x(x+7)-5(x+7)=0
(x-5)(x+7)=0
x= +5, -7
Hence, the numbers are 5 (x) and 7 (x+2).
Learn more about equation here:
https://brainly.com/question/2263981
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What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)
Answer:
The answer is "36".
Step-by-step explanation:
Please find the complete question in the attached file.
Summer Job!
Earn $150/week
Plus $2.75 per subscription sold
Let: T = Total weekly earnings
N = Number of subscriptions sold
Choose the equation that models weekly earnings for the summer job
advertisement.
Mhanifa please help! Find the missing side. Round to the nearest tenth
Answer:
12) x = 49.5
13) x = 8.5
14) x = 44.8
15) x = 4.6
Step-by-step explanation:
We can solve for the missing side lengths using trigonometry
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For #12
We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.
That being said we want to create an equation to solve for x
[tex]tan(68)=\frac{x}{20}[/tex]
Now we solve
* multiply each side by 20 *
[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]
we're left with x = 49.5
It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.
For 13)
[tex]tan(62)=\frac{16}{x} \\[/tex]
*multiply each side by x*
[tex]xtan(62)=16[/tex]
*divide each side by tan(62)
[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]
we're left with x = 6.5
For 14)
[tex]tan(15)=\frac{12}{x}[/tex]
multiply each side by x
[tex]xtan(15)=12[/tex]
divide each side by tan15
[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]
we're left with x = 44.8
For 15)
[tex]tan(74)=\frac{16}{x}[/tex]
multiply each side by x
[tex]xtan(74)=16[/tex]
divide each side by tan(74)
[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]
we're left with x = 4.6
Find the value of x. 30,45,x,100; The median is 51.
Answer:
49
Step-by-step explanation:
BRAINIEST TO WHOEVER RIGHT
Could you get a closer picture?
6 = 3s
s=?
What does s=?
Answer:
s=2
Step-by-step explanation:
6=3s
6/3=3s/3 divide both sides by 3
2=s
Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.
Answer:
Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle
Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)
LA = 15m² + 216m² + 108m²
LA = 339 m²
SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)
SA = 15m² + 216m² + 108m² + 180 m²
SA = 519 m²
Find the measure of a.
Answer:
Step-by-step explanation:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
I need help again. :( plzz help
Answer:
4 white horses.
Step-by-step explanation:
First, you need to find the total of the first set of horses (basically how many total were in the table).
~ 3+2+9+1 = 15
Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.
~ [tex]\frac{3}{15}[/tex] (or [tex]\frac{1}{5}[/tex], simplified)
Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:
~ [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]
The final step is to multiply across (1x20) then divide that number by the 5 to find X.
~ 20÷5 = 4
Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^
l-Ready
» Put gold bars into the machine to
produce exactly 21 gold cats.
Tap the reset button to start over.
cey Car
Go
Answer:
Step-by-step explanation:
Pleaseeeee helppppppppppppppp
Answer:
B
Step-by-step explanation:
a biconditional is if and only if
Write the percent as a fraction and as a decimal 1/10% what is the fraction equivalent
Answer:
As a fraction 1/1000 and as a decimal 0.001
Simply by adding like terms: -7x^2*y*z + 3y*z^2 - z*x^2*y - 4y
9514 1404 393
Answer:
-8x^2·y·z +3y·z^2 -4y
Step-by-step explanation:
It can be helpful to make sure the variables in each term are in alphabetical order. This makes it easier to see "like" terms. The variables in each term are ...
x^2 y z
y z^2
x^2 y z
y
Only the first and third terms are like terms, so those are the only ones that can be combined. Their coefficients are -7 and -1, so sum to -8. The combined term is of highest degree, so in standard form we list that term first.
= -8x^2·y·z +3y·z^2 -4y
Plz help me giving brainliest
Answer:
A. 80
Step-by-step explanation:
Count the first top half and you get 40 and you will know the bottom half is 40
which altogether is 80 or you can count the blocks one by one or count the blocks on the right side count the top blocks by five across.
V= l*w*h
V= 5*4*4
V= 80
Hope this Helps! :)
Have a nice day! :)
How do I find the indicated value?
Step-by-step explanation:
using this
t_n = a+ (n-1)d
Please Help Me!!! You had a bag of fruit snacks that you shared with 3 friends. Each of you got no more than 6 fruit snacks. The inequality x÷4≤6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag. There were no more than____fruit snacks in the bag.
Answer: x<=24
Step-by-step explanation:
Data: x/4<=6 and to find the answer, we have to find(Isolate) x
x/4(4)<=6(4) which is x<=24
Since we have found x, we have our answer which is x<=24
I hope this helps!