Answers
The mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
The Total number of distinguishable things is m.
Here, Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]
If the order matters, then each of those choice of k distinct items would be permuted k! times,
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
We have to find the mathematical representation of 20P4.
[tex]^{20}P_4[/tex]
here, m = 20
k = 4
Now substitute;
[tex]^mP_k = \dfrac{m!}{ (m-k)!}\\\\^{20}P_4 = \dfrac{20!}{ (20-4)!}\\\\^{20}P_4 = \dfrac{20!}{ (16)!}\\\\\\^{20}P_4 = \dfrac{20 \times 19 \times 18 \times 17 \times 16!}{ (16)!}\\\\\\^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]
Hence, the mathematical representation of 20P4 is [tex]^{20}P_4 = 20 \times 19 \times 18 \times 17[/tex]. so option C is the correct.
Learn more about combinations and permutations here:
https://brainly.com/question/16107928
#SPJ2
Related Questions
Work:
Using the formula of Cdm or C=20, determine the
circumference of the shape.
BICYCLES A bicycle tire has
a radius of 14 inches. How
far will the bicycle travel in 40
rotations of the tire? Round to
the nearest tenth.
131 in.
Diameter:
Radius:
Answers
Answer:
Radius-16
Diameter-32
Step-by-step explanation:
I think
PLEASE HELP. I need this as soon as possible!!! I will give brainiest and lots of points.
A number is at most 0 and greater than −10
The least possible integer value of this number is negative 9
The greatest possible integer value of this number is.
Answers
Answer:
Greatest possible integer value is 0
Step-by-step explanation:
idek i did it in my head
what is the value of p so that the expession 6x+3-(8x-5) is equivalent to (px+8)?
Answers
Answer:
-2
Step-by-step explanation:
The first equation simplifies to -2x+8 so p should be replaced with -2
The value of p so that the expression 6x+3-(8x-5) is equivalent to (px+8) is, -2
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression, 6x+3-(8x-5)
another expression, (px+8)
Value of p for which both the expressions are equivalent = ?
So now, we can compare both the expressions
⇒ 6x+3-(8x-5)
⇒ 6x+3-8x+5
⇒ -2x+8
if compare it with (px+8)
then, p = -2
Hence, the values of p is -2
To know more about Expressions check:
brainly.com/question/16804733
#SPJ1
Ms. Rios mowed
2
7
of her lawn. Her son mowed
1
4
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
(little sister needs answer)
Answers
Answer: I believe Ms. Rios mowed more, hope this helps!
Dara's computer monitor is 20 inches wide and 12 inches high. Which measurement is closest to the length of the diagonal of Dara's monitor?
A) 15 inches
B) 16 inches
C) 23 inches
D) 32 inches
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Answer:
C) 23
Step-by-step explanation:
If the computer monitor is 20 inches wide, and 12 inches high, we can solve for the diagonal by using the Pythagorean theorem.
Let a = the width, let b= the height, let c = the diagonal.
a^2 + b^2 = c^2
20^2 +12^2 =c^2
400 + 144 = c^2
544 = c^2
C is approximately equal to 23 inches.
Let me know if this helps!
A study has shown that the daily amount of milk produced by a dairy cow is
normally distributed, with a mean of 6.2 gallons and a standard deviation of
0.7 gallons. On a given day, 95% of the cows will produce an amount of milk
within which of the following ranges?
A. 5.5 gallons to 6.9 gallons
B. 4.8 gallons to 7.6 gallons
O
C. 4.1 gallons to 8.3 gallons
O D. 3.4 gallons to 9.0 gallons
SUBMIT
Answers
The range of milk production that 95% of the cows will fall within is option B: 4.8 gallons to 7.6 gallons.
To find the range of daily milk production that 95% of the cows will fall within, we can use the empirical rule, which states that for a normal distribution:
About 68% of the observations fall within one standard deviation of the mean.
About 95% of the observations fall within two standard deviations of the mean.
About 99.7% of the observations fall within three standard deviations of the mean.
Since we are looking for the range of milk production that 95% of the cows will fall within, we need to find the range that is within two standard deviations of the mean. That range is:
Mean ± 2SD
= 6.2 ± 20.7
= 6.2 ± 1.4
= [4.8, 7.6]
To learn more about the standard deviation;
brainly.com/question/23907081
#SPJ7
PLS HELP!!!!!!!
30 MINS LEFT!!!!!!!
WILL MARK BRAINLIEST!!!!
JUST ANSWER THE CORRECT ANSWER!!!
Which property was used to simplify the expression?
3C+9+4C = 3C+4C+9
A. distributive property
B. commutative property
C. associative property
D. inverse property
Answers
Tis communitive property.
Okeh bye
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
B. commutative property
o.o
Ana cuenta una noticia a 5 personas. A la hora siguiente, cada una de ellas se la cuenta a otras 5, y así sucesivamente. ¿Cuánto tardan en conocerla 3 000 personas?
Answers
Answer:
3 horas si se toma apartir de lo que se dice en el problema
An item has a listed price of $95. If the sales tax rate is 3% ,how much is the sales tax (in dollars )
Answers
Answer:
2.85
you multiply the price by the rate translated to a decimal
so
95*.03
=
2.85
evalie is making snak bags for her class she can fill 5/8 snak bags 1 2/3 cups of pretezles how many cups of preteele did she need
Answers
Answer:
5/12 cups
Step-by-step explanation:
1 bag = 2/3 cup
5/8 bag = 2/3 × 5/8
= 10/24 = 5/12
Someone plz help I already know the answer put how can I put the diagram can you guys help me can u put the picture how u did it plz giving brainliest
Answers
Answer:
therws this random chart from the internet, I think that's what they want, but not sure
A person earns $17,000 one year and gets a 5% raise in salary. Calculate the new yearly salary using a percent greater than 100.
Answers
Answer:
$17850
Step-by-step explanation:
Adding 5% of a number to that number is the same as taking 105% of the number.
Taking 105% of a number is the same as multiplying it by 1.05
This means that 105% of 17,000 is:
17,000*1.05 = 17850
Please help ASAP!
There are 10 girls and 16 boys in a class. The teacher has sticks with each students name on the bag. What is the probability of selecting sticks with a boy’s name and then a girl’s name if the first stick is not replaced?
Answers
3-x>2 or 4x+2> 10 what is the graph of the solution to the following compound inequality
Answers
Answer:
x<1 is the answer
Step-by-step explanation:
3-x>2
-x>2-3
-x>-1
What is the value of x of the acute angles of a right triangle measure 8x and 12x?
A.2
B. 4.5
C. 7
D. 9.5
Answers
Answer:
B. 4.5
Step-by-step explanation:
The sum of all interior angles of a triangle is 180 degrees
Since we know it is a right triangle, there is one angle that is 90 degrees
The acute angles are given as 8x and 12x
Add them up and isolate x to find the value of it
8x + 12x + 90 = 180 1. Add like terms
20x + 90 = 180 2. Subtract by 90 on both sides
20x = 90 3. Divide by 20 on both sides
x = 4.5
Cindy goes to school in a 7-story building. Her first class is on the first floor.
She goes up 3 floors for her second class and down 2 floors for her third
class. For her fourth class Cindy goes up 5 floors and for her final class
Cindy goes down 1 floor. What floor is Cindy on during her final class?
Answers
2: 1 + 3 = 4
3: 4 - 2 = 2
4: 2 + 5 = 7
5: 7 - 1 = 6
Plz help!
I have 30 minutes to complete it !!
Answers
Answer:
kite: a quadrilateral whose two pairs of adjacent sides are congruent and whose opposite sides are not congruent.
parallelogram: a quadrilateral in which both pairs of opposite sides are congruent.
polygon: in a plane, a closed figure formed from three or more line segments such that each segment intersects exactly two other segments, one at each endpoint, and no segments with a common endpoint are collinear.
quadrilateral: a polygon with four sides. [quad is a prefix meaning "four"]
rhombus: a quadrilateral with four congruent sides.
Step-by-step explanation:
I know I ran a tad late. I'm sorry. But I helped anyways, so you can turn it in. My hint for this was to use context clues. Please, have a good day!
Find two integers whose sum is -3 and product is -70
Answers
Answer:
(-10) and 7
Step-by-step explanation:
-3 = (-10) +(7)= -3 (because + and - give you a - )
-70 = (-10) x (7)= -70
hope it answers your question correctly.
the cube root of a number is 6. find the number
Answers
Answer:
the number is 216
Step-by-step explanation:
if the cube root of the number is 6 then you have to do 6^3
6 x 6 x 6 = 216
Answer:
216
Step-by-step explanation:
6 · 6 · 6 = 216
What is 312\245 simplified?
Answers
Answer:
127/100
Step-by-step explanation:
Luis takes advantage of a local movie theaters option to have subscription based admission.Luis pays a monthly fee every month and can see as many movies as he would like.Examine the graph shown below.
Enter the total amount of money Luis will have spent after 8 months of subscribing to this service?
Answers
Answer:
The answer is 60 dollars, that's what I got
what is
[tex]2 \frac{1}{2} \div \frac{1}{3} [/tex]
need help ?
Answers
Answer:
16/5
Step-by-step explanation:
Answer:
The answer is 15/2 and the simplified answer is 7 1/2.
Step-by-step explanation:
To turn 2 1/2 into a normal fraction you need to multiply 2 and 2 ao it will be 2x2 and then you add the 1 which gets you 5.You keep the denominator and the fraction is now 5/2.Dividing fractions is the same as multiplying fractions so all you have to do is flip 1/3 and now it us 3/1 then you turn the division symbol into a multiplication symbol and multiply both numbers.5x3 = 15 and 2x1 = 2 so now you have 15/2 and if you wanted to simplyfy it you need to see how many times 2 can go into 15.2 can go into 15 7 times because 2 x 7 = 15 and if we multiply 2 x 8 it will be 16 which would be too much.We have 1 number left over since we were 1 number behind so we put 1 as our numerator and keep 2 as out denominator so now we have 7 1/2.
The cost for a pair of jeans to the store is $5.50. The markup percent is 75%. What is the selling price?
Answers
Answer:
$9.63
Step-by-step explanation:
100 + 75 = 175
5.50/100 X 175 = 9.625
monetary unit round to 2dp
9.63
Find the area of the figure. Round your answer to the nearest tenth.
Answers
Answer:
11.5 m^2
Step-by-step explanation:
The area of a parallelogram is base * height, so you have to find the height.
You can see on the left there's a 30 - 60 - 90 triangle with a hypotenuse of 4. Using the proportion rule, you know that the 2nd side is 4/[tex]\sqrt{3}[/tex] = [tex]4\sqrt{3}/3[/tex].
Then, find the area, so do base * height = 5 * [tex]4\sqrt{3} /3[/tex] = [tex]20\sqrt{3}/3[/tex].
Put this in a calculator and you get: 11.5 m^2
Solve for x
-4 + x _< 9
Answers
Answer:
Step-by-step explanation:
what is the underscore for?
Answer:
your answer should be x < 13
Step-by-step explanation:
Hope this helps and have a nice day :)
Can somebody help me please? thank you.
Answers
hope this helps :)
Please help, and i will mark you BRAINLIEST
Mary is baking cookies, and the recipe calls for 1 1/2 cups of sugar. If she has 6 1/3 cups of sugar left after she bakes the cookies, how much sugar (s) did she have before she started baking cookies? Which equation would you use to solve for (s)? *
s + 1 1/2 = 6 1/3
6 1/3 - s = 1 1/2
s - 1 1/2 = 6 1/3
1 1/2 + s = 6 1/3
Answers
Answer: 4 5/6
Step-by-step explanation: 4 5/6+ 1 3/6(aka 1 1/2)= 6 2/6 (aka 6 1/3)
Type your response in the box.
Solve the equation x^2 – 5 = √ x – 2 by using successive approximation-
Answers
9514 1404 393
Answer:
x ≈ 2.367796
Step-by-step explanation:
There are a number of ways to use "successive approximation" to find a solution to an equation. You have not specified the method or the required accuracy.
__
One of the more tedious is the bisection method, which computes the value of the function at the midpoint of an interval, to see if that midpoint should be a new interval bound. This method requires about 3 iterations per decimal place of the answer.
Another method is the secant method. It computes the x-intercept of the secant line joining the points at the ends of the interval containing the solution. The function value at this x-intercept is used to see if that point should be a new interval bound. This method converges slightly faster than the bisection method. It is speeded by adjusting both ends of the interval.
Newton's method iteration converges at a quadratic rate, nearly doubling the number of correct decimal digits at each iteration. This works in a fashion similar to the secant method, except the x-intercept is computed from the function value and its derivative, not from points at the ends of an interval.
__
We assume you want the solution to ...
x^2 -5 = √(x -2)
This is conveniently reformulated to ...
x^2 -5 -√(x -2) = 0
so that we're seeking a zero of the function on the left.
The attached shows several iterations of the secant method. The function g is used to compute the x-intercept point on the line between (x1, f(x1)) and (x2, f(x2)). Then f(g( )) computes the function value at that x-intercept. We have used that to decide what the next interval limits (x1, x2) could be.
Our final guess at x is ...
x ≈ 2.367796 . . . . secant method
which gives an error less than 10^-5 between the left- and right-sides of the equation.
_____
Additional comments
At the bottom of the attachment is the Newton's Method iterator. The nice thing about this graphing calculator is that it displays the result of computing h(x) even as the value of x is being typed. This means you can type what you see and achieve full calculator precision for the solution in basically one pass. This method gives x = 2.36779701571.
Some hand-held graphing calculators have a derivative function built-in, so it is practical to use them to perform Newton's method iteration in substantially the same way.
One rabbit eats 8 carrots every day.
How many carrots does a rabbit eat in 7 days?
Answers
Answer:
56 carrots
Step-by-step explanation:
Because 7 x 8 is 56
Which expression represents 5-3(-4n + 2) + 8n in simplest form?
Answers
Answer:
20n-1
Step-by-step explanation:
you really just multiply and get the like terms yk
