How many combinations with repetition are allowed if n = 4 and r = 3

a. 20
b. 10
c. 27
d. 9

Answers

Answer 1

The number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

How many k-element combinations of n objects, with repetition can be formed?

The number of  k-element combinations of n objects, with repetition is:

[tex]\overline{C}_{n,k} = \: ^{n + k-1}C_{k} = \dfrac{(n+k-1)!}{k! \times (n-1)!}[/tex]

For this case, we're given that:

n = 4k = 3 (the question uses the notation 'r' instead of 'k')

Thus, we get:

[tex]\overline{C}_{n,k} = \dfrac{(n+k-1)!}{k! \times (n-1)!} = \dfrac{(4+3-1)!}{3! \times (4-1)!} \\\\\overline{C}_{n,k} = \dfrac{6!}{3!. 3!} = 20[/tex]

Thus, the number of combinations with repetition that are allowed if n = 4 and r = 3 is given by: Option A: 20

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Related Questions

Point W has coordinates (4, -7). If it is reflected over the y -axis, what are the coordinates of its image?

A. (4, 7)
B. (-4, 7)
C. (4, -7)
D. (-4, -7)

Answers

Answer:

I thank it is D

Step-by-step explanation:

What is the surface area of a right rectangular prism with a length of 5.2 mm, a width
of 4.9 mm, and a height of 9.1 mm?

Answers

Answer:

Solution

A=2(wl+hl+hw)=2·(4.9×10-3·5.2×10-3+9.1×10-3·5.2×10-3+9.1×10-3·4.9×10-3)≈2.3478×10-4m²

Step-by-step explanation:


Kim's cell phone plan costs $20.00 per month. She pays $0.10 for each text message. Which equation can be used to find the
monthly cost (C) of Kim's plan with n text messages?
A c= 20.00 +0.10n
Bc=20.00n +0.10
С
c=20.00n + 10
D = 20.00 + 10n

Answers

Answer:

the second option

Step-by-step explanation:

A classroom library has a 100 books. Half of the books are fiction. Of the books left, a tenth are about animals. How many animal books does the library contain?

Answer: 5

Answers

Answer:

5

Step-by-step explanation:

half of 10 is 50 on tenth of 50 is 5

Finding Angles (Level 1)
Delta Math
#highschool

Answers

Answer:

∠ E = 43°

Step-by-step explanation:

∠ BGE and ∠ FHC are alternate exterior angles and are congruent , then

∠ BGE = 119°

the sum of the 3 angles in Δ BGE = 180°, that is

∠ E + 18° + 119° = 180°

∠ E + 137° = 180° ( subtract 137° from both sides )

∠ E = 43°

Answer:

43

Step-by-step explanation:

so, it gives your angle FHC and angle B. remember B because it is important a little later, so you know that angle FHC=119. and if you remember learning congruent angles, you would know that angle HGA also equals 119 because they are corrisponding angles. so, you know they are corrisponding, how does that help you? well, if you remember learning that vertical angles are congruent, then it tells you that FHC=HGA, also meaning that HGA=119. and remember how you know that angle B=18? this also helps because you know that a triangles angles always equal 180, so you simply add 119+18=137 degrees, and you want the unknown angle being m<E and which to find you simply subtract 180-137=43 so, M<E=43 because subtracting 180-137 gives you the unknown.

Jessiah has 6 more pencils than grace. miles has twice as many pencils as jessia. they have a total of 50 pencils together. how many pencils does each person have?

Answers

Answer:

Jessiah has 14 pencils

Miles has 28 pencils

Grace has 8 pencils

Step-by-step explanation:

I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve

Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,

j=g+6

m=2j

So m=2(g+6) or 2g+12

Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8

j=8+6, which is 14

m = 2(14), which is 28

The radioactive substance uranium-240 has a half-life of 14 hours. The amount
A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function.
At = 3900(1/2) t/14
Find the initial amount in the sample and the amount remaining after 60 hours.
Round your answers to the nearest gram as necessary.

PLEASE HELP ASAP

Answers

Answer:

See analyris

Step-by-step explanation:

[tex]Hlug\ in\ the\ value\ of \left.\ t.\right\}[/tex]

[tex]The\ infital\ ampunt\ in\ the\ sample:[/tex]

[tex]t=0_{-1}\ \ \ \ \ f(t)=39\omega\bullet(\frac{1}{2})^\frac{0}{14}[/tex]

                        [tex]=3900\ g.[/tex]

[tex]Ater\ bo\ busis.[/tex]

[tex]t=6,\ \ \ \ \ A(t)=2900\times(\frac{1}{2})^\frac{60}{14}[/tex]

                       [tex]=3900\times(\frac{1}{2})^\frac{30}{7}[/tex]

                       [tex]\approx 209.[/tex]

I hope this helps you

:)

Match the equivalent parts of the circle:


Answers

Answer:

1) d

2) a

3) c

4) b

Step-by-step explanation:

Wriite the product of 7 and a number w as an expression

Answers

The answer is:

7w

Product is multiplying so 7 x W is 7W

What type of sampling method should be used when accuracy and generalizability of findings is a primary concern

Answers

The sampling method that ensures the  accuracy and generalizability of findings is a random sampling.

What is random sampling?

The term random samping is a sampling technique in which the participants are selected in a random manner from the population. The sample is selected in such a way that it is representative of the entire population.

The sampling method that ensures the  accuracy and generalizability of findings is a random sampling.

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Which are factors of 18? Check all that apply. 1 2 3 4 8

Answers

Answer:

1 2 3

Step-by-step explanation: 1 times 18, 2 times 9, 3 times 6

Solve: 3(2x-5) +2x+3=1

Answers

Answer:

Step-by-step explanation:

3(2x-5) +2x+3=1       Distribute the 3

6x-15+2x+3=1     Combine like terms

8x-12=1   Add 12 to 1

8x=-12  Divide by 8

x=13/8

Answer:

x = [tex]\frac{13}{8}[/tex]

Step-by-step explanation:

3(2x - 5) + 2x + 3 = 1 ← distribute parenthesis and simplify left side

6x - 15 + 2x + 3 = 1

8x - 12 = 1 ( add 12 to both sides )

8x = 13 ( divide both sides by 8 )

x = [tex]\frac{13}{8}[/tex]

What’s the answer to -15(9)

Answers

Answer:

-135

Step-by-step explanation:

-15*9=-135

can someone help me please

Answers

I could do it but it honestly is so much work to be just 5 points

PLEASE HELP! DUE AT 3:20!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

1/3

Step-by-step explanation:

or 4/12 if not simplified

I WILL GIVE 5 STARS IN YOUR ACC AND COMMENT AND WILL GIVE YOU A THANK YOU!

Answers

the tree is 18.4 ft tall

Pls help in 14
No idea

Answers

As you can see, the area of the scarf is equal to the area of the rectangle minus the area of the 2 semi-circles (which form a circle)

Now, we calculate the area of the rectangle : 28 x 15 = 420 in2

The diameter of the circle is 15in -> The radius = 15 : 2 = 7.5in.

We now find the area of the 2 semi-circles : 7.5 x 7.5 x 3.14 = 176.625 in2

So, the area of the scarf is : 420 - 176.625 = 243.375 in2


The area of the scarf is the whole rectangle minus two semi circle, and two semi circle can be seen as a whole circle

Please help me answer this question.

Answers

Answer:

Step-by-step explanation:

The best way to see the answer to the question is to go the midpoint of AB.You will note that the midpoint of AB looks like T is slightly to the left of the midpoint and down.

Do the same thing with q. Add p and q the way 2 vectors would be added together. So AT is 1/2(p + q)

Starting at A draw 1/2 p. Maintaining the same angle for q, draw 1/2 q at the end of 1/2 p. Hence the answer is vector(AT ) = (1/2 p + 1/2 q)

which best explaines what determines whether a number is irrational

Answers

Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus, the option D is the correct option, which is a number that can be written as a decimal that neither repeats nor terminates.

What is a irrational number?

Irrational numbers are the number which is the real number but not the rational number(a/b).The irrational numbers can not be represents in the fractional form.

Irrational numbers are written in the form of root of a number such as,

,    ,     etc.

Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal.

Lets check all the given options as,

A) A number that can be written as a decimal that repeats and does not terminate- Irrational numbers is a decimal which does not repeats. Thus this is not correct option.

B) A number that can be written as a decimal that terminates and does not repeat- Irrational numbers is a decimal which does not terminate. Thus this is not correct option.

C) A number that can be written as a square root that does not result in a whole number-This does not explain the property of irrational number. Thus this is not correct option.

D) A number that can be written as a decimal that neither repeats nor terminates-Irrational number can be written as decimal number that, neither a terminating decimal or repeating decimal. Thus this is the correct option.

Hence, A number that can be written as a decimal that neither repeats nor terminates the option D is the correct option.

The sum of two numbers is 85. The second Number is four more than two times the first number. What are the two numbers?

Answers

Answer:

Step-by-step explanation:

x=first number; y=second number

x+y=85

y-4=2x

Solve-

y=85-x

(85-x)-4=2x

81=3x

x=27

Plug in-

(27)+y=85

y=58

3.) Jacob read 144 pages of his favorite book in 6 hours. What is the average rate the student
reads, in pages per hour?

Answers

Answer: 24 pages per hour

Explanation:
144 pages = 6 hours
24 pages = 1 hour

Hence the rate is 24 pages per hour

Answer:

24 pages per hour :)

Step-by-step explanation:

We need to divide to solve :)

144/6 = 24

Have an amazing day!!

Please rate and mark brainliest!!

Solve the inequality x over 3 + 5 > 2

Answers

Answer:

x > -9

Step-by-step explanation:

Hello!

We can solve this equation like any normal equation, just remember to flip the sign when dividing or multiplying by a negative number.

x/3 + 5 > 2x/3 > -3                => subtracting 5 from both sidesx > -9                   => Multiplying both sides by 3

Your solution is x > -9

Hi! I am new here!

Hope it helped! Stay healthy!

x/3+5>3 => x/3> -3

x> -9

nate jogs 4/5 mile in 1/6 hour. What fraction represents nates speed in miles per hour

Answers

Answer:

24/5  miles/hour    = 4.8 miles /hour

Step-by-step explanation:

(4/5) x6 = 24/5 = 4.8

Answer:

[tex]\frac{24}{5}\ \small (m/h)[/tex]

Step-by-step explanation:

He jogs

4/5 mile in 1/6 hour

then ,He jogs (we multiply both sides by 6)

[tex]6\times \frac{4}{5} m\ \ \ \text{in} \ \ \ 6\times \frac{1}{6} h[/tex]

then ,He jogs

[tex]\frac{24}{5} m\ \ \ \text{in} \ \ \ \frac{6}{6} h\\\\\text then \ he \ jogs\\ \frac{24}{5} m\ \ \ \text{in} \ \ \ 1 h\\[/tex]

Factor the algebraic expression.
25a+40=

Answers

Answer:

[tex]\Longrightarrow: \boxed{\sf{5(5a+8)}}[/tex]

Step-by-step explanation:

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

⇒ 5*5=25

⇒ 5*8=40

Rewrite the problem.

⇒ 5*5a+5*8

Solve.

Multiply.

⇒ 5*5a=25a

⇒ 5*8=40

Rewrite the expression.

⇒ = 25a+40

Therefore, the correct answer is 5(5a+8).

I hope this helps! Let me know if you have any questions.

Answer number 10 please thank you

Answers

There’s about an 8% decrease
The answer is 72 because you subtract 828 from 900

7. An engineer is investigating three
engines for fuel efficiency. The table
below shows the results of the tests for
the three engines. Which option gives the
best fuel efficiency? Why?
IT'S A CONSTRUCTED RESPONSE!!!




PLEASE SOMEONE ANSWER ME!!!! :/

Answers

In order to calculate efficiency

Range ÷ Fuel

Option A

528 ÷ 24 = 22 mi/gal

Option B

690 ÷ 30 = 23 mi/gal

Option C

840 ÷ 42 = 20 mi/gal

Option B, gives the best fuel efficiency because the car can travel further using 1 gallons of fuel than others.

You roll a 6-sided die two times.

What is the probability of rolling a number less than 4 and then rolling a number less than 47

Write your answer as a percentage.

Answers

Answer:

as a non percent 3/6 or 50%

Step-by-step explanation:

A number less than 4 would be 1,2 and 3  so you have 3/6 die chance

Vs. 1,2,3,4,5,6 which are all under 47 so rolling a number like that would be 100% or 6/6

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

When substituting in system of equations you isolate a variable then substitute it in equation. Y=-x-2 goes subs in 3x+3Y=6 so
Y subs with Y. 3x+3(-x-2)=6 which solve into -6=6. This statement is false and therefore these equations have no solution together

Your children are 3 and 5 years old now, and you want an inexpensive policy that covers your family at least until the youngest is 22. based on the given information, what is the best policy to buy? a. whole life policy b. 10-year term policy c. 15-year term policy d. 20-year term policy please select the best answer from the choices provided a b c d

Answers

Subtraction is a mathematical operation. The best policy to buy is a 20-year term policy.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Since we want the policy to last till the younger child is 22 years. And the present age of the younger child is 3 years. Therefore, the period for which the policy must work is 19 years (22-3).

Therefore, the best policy to buy is a 20-year term policy.

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find x and y if (x-3, -6) and (4, x+y)

Answers

Answer:

See below ~

Step-by-step explanation:

Given

(x - 3, 6) = (4, x + y)

Equating x coordinates to find the value of x

x - 3 = 4x = 7

Equating y coordinates to find the value of y

6 = x + y6 = 7 + yy = -1

Compare coordinates

x-3=4x=4+3x=7

And

x+y=-6y=-6-xy=-6-7y=-13
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