[tex]nPr = \frac{n!}{(n - r)!} [/tex]
[tex]15P4 = \frac{15!}{(15 - 4)!} = \frac{15!}{11!} \\ = \frac{15 \times 14 \times 13 \times 12 \times 11!}{11!} \\ 15 \times 14 \times 13 \times 12 = 32760[/tex]
The permutation of the given values will be [tex]32,760[/tex].
What is permutation ?A permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters.
Permutation [tex]^nP_{r}= \frac{n!}{(n-r)!}[/tex]
We have,
[tex]n = 15[/tex]
And
[tex]r = 4[/tex]
So, using Permutation Formula;
Permutation [tex]^nP_{r}= \frac{n!}{(n-r)!}[/tex]
i.e.
[tex]^nP_{r}= \frac{15!}{(15-4)!}[/tex]
[tex]= \frac{15!}{11!}= \frac{15*14*13*12*11!}{11!}[/tex]
Now, cancelling factorial terms,
We get,
[tex]^nP_{r}= 15*14*13*12[/tex]
[tex]^nP_{r} =32760[/tex]
So, the value is [tex]32760[/tex].
Hence, we can say that the permutation of the given values will be [tex]32,760[/tex].
To know more about Permutation click here
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- 7th Grade Work -
Please help, I really need it T-T
Answer: the first side is x the next side is x-5 the third side is 2x the fourth side is 4(2x) the fifth side is 4(2x)-2
a possible perimeter for the figure would be 113
Step-by-step explanation: if the first side was 6 -5 is 1+6 is 7+6*2 is 19+4(6*2)=67 67+ 4(6*2)-2 is 113
Answer: the first side is x the next side is x-5 the third side is 2x the fourth side is 4(2x) the fifth side is 4(2x)-2
a possible perimeter for the figure would be 113
Step-by-step explanation: if the first side was 6 -5 is 1+6 is 7+6*2 is 19+4(6*2)=67 67+ 4(6*2)-2 is 11
Select each pair of equivalent numbers
50/100 and 50%
1/3 and 30%
2/6 and 40%
4/5 and 80%
Answer:
50/100 and 50%
4/5 and 80%
Step-by-step explanation:
Hope it helps you in your learning process
Answer: I would go with 50/100 and 50%, And another will be 4/5 and 80%
Step-by-step explanation: Because 50/100=50% and if you had 2+2+2+2 it would equal 80% put the zero at the end of your process.
Select the equations corresponding to d, the distance between points (2, -6) and (2, 5).
a) d = |-6| – |5|
b) d = |2| – |2|
c) d = |5| – |-6|
d) d = |5| + |-6|
e) d = |2| + |2|
f) d = |-6| + |5|
The distance between points (2, -6) and (2, 5) is d = |-6| + |5|.
In the first step, we plot the two points. Then, connect the two points. Count the distance between Quadrant I and Quadrant IV.
Quadrant I contains 5 units and quadrant IV contains 6 units. We know that the vertical line denotes the y-value. Therefore, we take the Quadrant IV value as -6.
Since, we use the determinant sign the result will be d = |-6| + |5|.
To find the distance between two points:
brainly.com/question/16491508
I need help asap! With formula and explanation please!
Answer:
Base: 5
Exponent: 4
Step-by-step explanation:
Base is the large number in the formula and Exponent is the little number above the large number lol
Hope this helps!
im tired of ppl giving me wrong answers. Please will somebody help! ill give brailiest as long as i get full answers and explanations for questions 1, 2, and 3 that are shown in photo.
Answer:
1. $1,293
2. $1,943
3. No
Step-by-step explanation:
No - they only have an extra $325 per month. It would not be possible to put a larger value into the savings account each month, they don't have enough!
Order these rational numbers from least (top) to greatest (bottom) :
.01
2.5
-4
-3 1/2
-3.8
Answer:
-4
-3.8
-3 1/2
.01
2.5
Step-by-step explanation:
(28 divided by 7 + 6 divided by 3) x 1/2
Answer:
3
Step-by-step explanation:
if you use the system of equations, it is 3.
Answer: 3
Step-by-step explanation:
28÷7=4
6÷3=2
4+2=6
6*1/2=3
It takes a maintenance person 36 minutes to replace all of the fluorescent light bulbs in 2 identical classrooms. At that rate, how long would it take him to change the bulbs in 12 identical classrooms?
Answer: it would take 216 minutes
Select the statement that describes the expression 6 x one third x (12 − 3).
A 6 times one third the quotient of 12 and 3
B 6 times one third the sum of 12 and 3
C 6 times one third the product of 12 and 3
D 6 times one third of the difference of 12 and 3
Answer:
D
Step-by-step explanation:
6 x 1/3 = 2
1/3 x (12-3) = 2 x 9
2 x 9 = 18
A = 2 (12/3) = 2 x 4 = 8
B = 2 x 15 = 30
C = 2 x 36 = 72
D = 2 x 9 = 18
E help mah brotha pls
The local restaurant has the following offers:
2 sandwiches and juice
€5.00
OFFER A
Sandwich and salad
€5.10
OFFER B
Salad and juice
€5.30
OFFER C
What is the cost of one sandwich?
What is the cost of 1 sandwich 1 salad and 1 juice?
Answer:
Below in bold.
Step-by-step explanation:
Let cost of sandwich = s, juice = j and salad = d.
2s + j = 500 (A)
s + d = 510 (B)
d + j = 530 (C)
Equation (C) - (B) ( to eliminate d):
j - s = 20 (D)
(A) - (D) = (to eliminate j):
2s - (-s) = 480
3s = 480
s = 160
A sandwich costs E 1.60.
PLSSSS HELP I REALLY NEED TO PASS. What is the wave velocity if the wave length is 100 cm and the frequency is 2 Hz?
102 cm per second
100 cm per second
150 cm per second
200 cm per second
A construction company needs to remove 2 1/6 tons of dirt from a construction site. they can remove 7/8 of dirt each hour. what is the total number of hours it will take to remove the dirt each hour? write your answer as a mixed number and simplest form.
Answer: 2.357hrs
Step-by-step explanation:
Rate of dirt removal (rate) = 7/8 tons/hr
Total dirt removed (dirt) = 2 1/16 tons
Each hour, 7/8 tons of dirt will be removed, so if you work for h hours, you will have removed 7/8 * x tons of dirt. You can set up an equation as follows:
7/8 tons/hr * h hr = 2 1/16 tons (see how the units work out to give you tons)
Rearrange and solve for h:
h = (2 1/16) / (7/8) = 33/14 hrs = 2.357hrs
Please I need help ASAP
How many integers are there... Between 199 and 299, including 199 and 299?
Answer:
102
Step-by-step explanation:
Peter gets a salary of $125 per week. He wants to buy a new television that costs $3,960. If he saves $55 per week, which of the following expressions could he use to figure out how many weeks it will take him to save up enough money to buy the new TV? A. 3960÷(125−55) B. 3960−(125)(55) C. (3960÷125)÷55 D. 3960÷55 Group of answer choices D A B C
hi! i believe the answer would be D. 2960/55 :)
hope this helps
Answer:
The answer is D.
Step-by-step explanation:
Just trust me broSelect the value for “a” that makes this equation true: 45 = 2a +4a + 3
Answer:
Step-by-step explanation:
Here!
Answer:
45=2a+4a+3
or,45=6a+3
or,45-3=6a
or,42=6a
or,42/6=a
or,7=a
therefore,valaue of a is 7..
Round to the nearest whole feet.
Answer:
2544 ft
Step-by-step explanation:
First, find the area of the pool.
A= πr²
if we fill in the radius, use 3.14 for pi, and solve for A, that's
A=(3.14)(20.5)²≈1319.585
The area of the pool is roughly 1319.585 ft
Now, we find the area of the triangle
A=(ab)÷2
put in 'a' and 'b' (the triangle legs) and solve
A=(84×92)÷2=3864
Finally, subtract the area of the pool from that of the triangle
3864-1319.585=2544.415 which rounds to 2544 ft
hopefully that helps and you might want to double check but that's what I got :)
HELP!! its due today
Answer:
The intersection is a triangle will go to the bottom
the intersection is a rectangle will go to the top
last will be the intersection is a circle to the middle
Step-by-step explanation:
Answer:
The intersection is a triangle will go to the bottom
the intersection is a rectangle will go to the top
and last ofc will be The intersection is a circle to the middle! :>
Step-by-step explanation:
A student rolls a die 15 times and records the results. This is the first set of data. The same student rolls a different die 15 times and records the results. This is the second set of data.
What is an appropriate conclusion about the shape of the dot plots?
A) The first dot plot is skewed to the right.
B) The second dot plot has more of a "bell-shaped" curve than the first dot plot.
C) The first dot plot has a unimodal distribution and the second dot plot has a uniform distribution.
D) The second dot plot looks to have a trimodal distribution.
Answer:
C
Step-by-step explanation:
unimodel: A unimodal distribution is a distribution with one clear peak or most frequent value. The values increase at first, rising to a single peak where they then decrease.
Write the equation of the line through (5, -4); m = 1
Will mark brainliest!
Solving Quadratic Equations-factoring
How do find what b could be? My book says to factor completely.
3b²+15b+12=0
Answer:
b = −1
b = −4
Step-by-step explanation:
Common Factor
Divide both sides of the equation by the same term
Use the quadratic formula
Answer:
-1 or -4
Step-by-step explanation:
first all you have to do is to multiply 12 by 3b² to give you 36b² and then find a number(x) multiplied by another number(y) to give you 36b² and those two numbers must sum up to give you 15b
doing this, we would have our two numbers to be
12b and 3b
replace these two numbers with 15b in the equation
3b² + 12b + 3b + 12=0
(3b²+12b) + (3b+12)=0
3b(b+4)+3(b+4)=0
note: the numbers in the brackets must be the same
(3b+3)(b+4)=0
therefore, 3b + 3= 0 or b + 4= 0
3b+3= 0
3b=-3
b=-3/3
b=-1
or
b+4=0
b=-4
How do you solve this?
Answer:
C.)
Step-by-step explanation:
The graph is positive this time, so right away you can eliminate A and B.
If y=2x, the graph would be much steeper so the answer is C.) you can also check by graphing it in desmos.
Answer: C: 1/2
Step-by-step explanation:
Rise over run tells us that this graph is going up 1 and right 2. Since it’s going up and right it’s going to be positive and since we do rise over run on our slope fraction, that leaves us with C, 1/2.
pls answer this!! I need help
someone pls help meee
A local television station devotes about 15% of its prime-time proramming to commercials. How many minutes of commercials air in each hour of primi-time programming
4 MIN
9 MIN
15 MIN
Answer:
Today, a similar program would only be 42 minutes long; a typical 30-minute block of time now includes 22 minutes of programming.
1.3 cm 13 cm 5 cm Find the volume of the rectangular prism.
1.)84.5 cm3
2.)88.4 cm3
3.) 81.9 cm3
4.)77.2 cm3
Naman is 4 times as old as his sister now.
In 20 years’ time, Naman’s age will be 14
years less than twice his sister’s age. How old is Naman now?
Answer:
Naman is 12 years old
Step-by-step explanation:
This means his sister is 3 which means in 20 years Naman will be 32 and his sister will be 23. Double 23 and you get 46 and 46 - 32 is 14
Please answer these 2 questions. Will mark brainiest. Thank you!!
Answer: Number 1 is A and C
Number 2 is D
Step-by-step explanation:
Hi can someone hep me pls and if you don't know the answer pls don't answer and pls don't send links I forgot to attach the pitch sry
Answer:
Step-by-step explanation:
it doesn't really say what the "face" is, but i'll guess that it's the part marked in yellow? if that's the case then it's just 10 * 10 twice for each of the squares. Really you couldn't see that? :/ 200 is the answer
a b c or d? please i need help
Answer:D
D
Step-by-step explanation:D
Answer:
The answer is D.
Step-by-step explanation:
:D