Evaluate 6 P 3. 720 240 540 120

Answers

Answer 1

Answer:120

Step-by-step explanation: i know i am a week late but ...

Answer 2

The value of expression ⁶P₃ will be 120. Then the correct option is D.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

The expression is given below.

⇒ ⁶P₃

Then the value of expression ⁶P₃ will be

⁶P₃ = 6! / (6 - 3)!

⁶P₃ = 6 x 5 x 4 x 3! / 3!

⁶P₃ = 6 x 5 x 4

⁶P₃ = 120

Then the correct option is D.

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Related Questions

A sorority has 33 members, 23 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities. (Enter the probabilities as fractions.) (a) The first person selected is a pledge. (b) The first person selected is not a pledge. (c) The second person selected is a pledge if the first person selected was also a pledge. (d) The second person selected was a full member if the first person selected was a pledge. (e) The second person selected is a pledge if the first person selected was a full member. (f) The second person selected is a full member if the first person selected was also a full member. (g) The second person selected was a pledge.

Answers

Final answer:

The probabilities for various selections of pledges and full members from a sorority are calculated based on the composition of the group and the number of members remaining after each selection.

Explanation:

When selecting two persons at random from a sorority with 33 members consisting of 23 full members and 10 pledges, the probabilities requested can be calculated as follows:

(a) The probability that the first person selected is a pledge is 10/33.(b) The probability that the first person selected is not a pledge is 23/33.(c) The probability that the second person selected is a pledge given that the first selected was also a pledge is 9/32 (since one pledge is already selected).(d) The probability that the second person selected is a full member given that the first person selected was a pledge is 23/32.(e) The probability that the second person selected is a pledge given that the first person selected was a full member is 10/32 or 5/16.(f) The probability that the second person selected is a full member given that the first person selected was also a full member is 22/32 or 11/16.(g) The probability that the second person selected is a pledge without any condition on the first selection needs additional information for a precise calculation.

The graph of r = -3 + 5 cos theta is symmetric about the

Answers

Answer:

I graphed the equation on the graph below.

Step-by-step explanation:

If this answer is correct, please make me Brainliest!

Answer:

B

Step-by-step explanation:

x-axis only

The formula for the area of a triangle is
A
=
b
h
2
. Express
b
in terms of
A
and
h
.


b
=
2
A
h

b
=
h
2
A

b
=
A
h
2

b
=
A
2
h

Answers

Final answer:

To express b in terms of A and h, we use the formula for the area of a triangle. By rearranging the equation, we find that b = (2A)/h.

Explanation:

To express b in terms of A and h in the formula for the area of a triangle, A = (bh)/2, we can rearrange the equation. First, multiply both sides of the equation by 2 to eliminate the fraction:

2A = bh

Next, divide both sides of the equation by h to isolate b:

b = (2A)/h

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Find the GCF of 24m and 16mn.

Answers

Answer:

8

Step-by-step explanation:

1. You star by figuring out what are the factors 24.(1,2,3,4,6,8,12,24).

2. Then you find the factors of 16.(1,2,4,8,16)

3. Then you look at the numbers and figure out which on is the largest. Which is 8

Simplify to create an equivalent expression.

Answers

Answer:

-8p-80

Step-by-step explanation:

The equivalent expression of the expression 4 (- 15 - 3p) - 4 (- p + 5) is (- 8p - 80). Hence option 1 is true.

Used the concept of the equation that states,

Mathematical expression is defined as the collection of numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that,

The equation is,

4 (- 15 - 3p) - 4 (- p + 5)

Now simplify the expression by combining like terms and applying distributive property,

4 (- 15 - 3p) - 4 (- p + 5)

Apply distributive property,

- 60 - 12p + 4p - 20

- 8p - 80

Therefore, option 1 is true.

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What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?
ОООО
A:3B:4C:5D:9

Answers

Answer:

x=4

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

Distribute

1.5x +6 -3 = 4.5x -9

Combine like terms

1.5x +3 = 4.5x -9

Subtract 1.5x from each side

1.5x -1.5x +3 = 4.5x -1.5x -9

3 = 3x-9

Add 9 to each side

3+9 = 3x-9+9

12 = 3x

Divide each side by 3

12/3 =3x/3

4=x

Answer:

B. 4

Step-by-step explanation:

Remember the acronym: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction).

P: The expressions in the parentheses are not solvable as they are.

E: There are no exponents.

M: On the left, multiply 1.5 by x, giving you 1.5x, and by 4, giving you 6. We now have 1.5x + 6 -3 on the left. On the right, do the same. Multiply 4.5 by x, giving you 4.5x, and then multiply 4.5 by -2, giving you -9. Our expression is now 1.5x + 6 - 3 = 4.5x - 9.

D: There is no division in the problem.

A: There is no addition in the problem.

S: Subtract the 3 from the 6 on the left:. We now have 1.5x + 3 = 4.5x - 9.

Now that were all simplified, lets solve. Subract 1.5x from both sides so that only one side has x, so it can be solved. We now have 3 = 3x - 9.

Add 9 to both sides, to simplify even further. We now have 12 = 3x.

For the final step, we need to isolate x. To do this, we need to get rid of the coefficient. We know that 3 and x are being multiplied, so we can just divide to undo it. Keep in mind that we need keep both sides equal, so we divide both sides. By what? By 3. Now, we have our final answer:

x = 4

Kalani has these monthly liabilities: rent $925, car payment $356, credit card
payment $125. She has a gross annual income of $96,448. What is her monthly
debt-to-income ratio? (Find her gross monthly income first.)

Answers

8037 is he gross monthly income but after all her bills it would be 6631

Simplify: 4(5x−3)−3(4x−7)

Answers

Answer:

20x-12 and -12x+21

Which is then 8x+ 9

Step-by-step explanation:

Answer:

the answer is 8x + 9

Step-by-step explanation:

You go to the snack bar to buy a bagel and a drink for lunch you choose from a plain bagel a blueberry bagel or a raisin bagel the choices for a drink include water or a sports drink how many different lunches could be made with these choices

Answers

Answer:

6

Step-by-step explanation:

So you're choosing a bagel and a drink.

There are three different types of bagels and two different types of drinks

You just simply multiply three by two, and that is the number of combinations :)

In the diagram below, OA I OC. Find the value of x. Show your work.

Answers

The point where two lines meet is known as an angle. The value of x if OA is perpendicular to OC is 30 degrees

What is line geometry?

The point where two lines meet is known as an angle.. From the given diagram;

(180 - 4x) + x = 90

Simplify the result

180 - 3x = 90

Subtract 180 from both sides

-3x = 90 - 180

-3x = -90

Divide both sides by -30

x = 90/3

x =30degrees

Hence the value of x if OA is perpendicular to OC is 30 degrees

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solve for x^2 + 12x + 27=0

Answers

x equals negative three (-3) and negative nine (-9) (x=-3,-9)

Step-by-step explanation:

everything has been explained in the image above

BRAINLIEST BRAINLIEST!! Easy math ASAP

Answers

first answer is (-2,2) second answer is (4,2)

Answer:

1. (-2,2) 2.(4,2)

Step-by-step explanation: since number 1 isn’t negative and positive the x I see negative 2. For number 2 it is positive positive. So x is 4 And they y value is 2 hope this helps

Simplify 2x + 8y + 3x + y

Answers

Answer:

[tex] = > 2x + 8y + 3x + y \\ \\ = > 5x + 9y[/tex]

Answer:

5x + 9y

Step-by-step explanation:

Combine like terms (terms with the same variables as well as the same amount of variables).

2x + 3x + 8y + y = (2x + 3x) +(8y + y)

Combine:

2x + 3x = 5x

8y + y = 9y

5x + 9y is your answer.

~

A parabola has one or more zero(s) if it intersects the


X-axis

Y-axis

Origin

Vertex

Answers

Y-axis is the answer hope it helped
The answer is the y-axis.

Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6

Answers

Answer:

3n+2

Step-by-step explanation:

-n+(-4)-(-4n)+6

Subtracting a negative is like adding

-n+(-4)+(4n)+6

Combine like terms

-n +4n  -4 +6

3n           +2

3n+2

Which of the following inequalities matches the graph?

Answers

Answer:

x>-7

Step-by-step explanation:

The answer to this question is 7

What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth.

Answers

Answer:

2299 in^2

Step-by-step explanation:

The formula for the volume of a square pyramid of base A and height h is

V = (A)(h).

Here, the perimeter of the base is 44 inches, so that the length of one side must be (44 in) / 4, or 11 in.  The area of a square of side s is A = s^2, so we have:

Here, V = (11 in)^2 * (19 in) = 2299 in^2

If cosθ=1/3 , then sinθ = _____.

Answers

Answer:

[tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

Step-by-step explanation:

We can use the following trigonometric property that relates the sine function and the cosine function:

[tex]sin^2\theta+cos^2\theta=1[/tex]

we solve for [tex]sin \theta[/tex]:

[tex]sin^2\theta=1-cos^2\theta\\\\sin\theta=\sqrt{1-cos^2\theta}[/tex]

we are give the value of [tex]cos\theta[/tex]:

[tex]cos\theta =\frac{1}{3}[/tex]

so we substitute this value:

[tex]sin\theta=\sqrt{1-(\frac{1}{3} )^2}[/tex]

and we solve the expression:

[tex]sin\theta=\sqrt{1-\frac{1}{9} } \\\\sin\theta=\sqrt{\frac{8}{9} } \\\\sin\theta=\frac{\sqrt{8} }{\sqrt{9} } \\\\sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

the answer is: [tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. What is the total cost of the material? Round to the nearest cent.

Answers

We have been given that Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. We are asked to find the total cost of the material.  

To find the total cost of material, we will multiply the total yards of material by cost of material per yard as:

[tex]\text{Total cost of material}=\$2.50\times 3\frac{1}{4}[/tex]

[tex]\text{Total cost of material}=\$2.50\times \frac{13}{4}[/tex]

[tex]\text{Total cost of material}=\$0.625\times 13[/tex]

[tex]\text{Total cost of material}=\$8.125[/tex]

Upon rounding to nearest cent, we will get:

[tex]\text{Total cost of material}\approx \$8.13[/tex]

Therefore, the total cost of the material would be $8.13.

What is the 10th term in the geometric sequence? (2187, 729, 243, 81, 27)

Answers

The 10th term in the geometric sequence can be found by using the common ratio of 1/3 and applying it to the formula T(n) = a1 * r^(n-1). The 10th term is determined to be 1/9.

Calculating the 10th Term of a Geometric Sequence

To find the 10th term in the geometric sequence (2187, 729, 243, 81, 27), we first need to determine the common ratio (r). We can find r by dividing any term by its preceding term. Using the second and first terms, we get:

r = 729 / 2187 = 1/3

With the common ratio identified, we can use the formula for the nth term of a geometric sequence:

T(n) = a1 * r^(n-1)

Where a1 is the first term of the sequence and n is the term number. So, the 10th term (T(10)) is calculated as:

T(10) = 2187 * (1/3)^(10-1) = 2187 * (1/3)^9

To calculate this, we simply apply the exponent to the common ratio:

T(10) = 2187 * 1/19683 = 2187 / 19683 = 1/9

Therefore, the 10th term of the geometric sequence is 1/9.

f(x) = 7 -
What is the inverse

Answers

Answer:

Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x+7 f - 1 ( x ) = x + 7 is the inverse of f(x)=x−7 f ( x ) = x - 7

Step-by-step explanation:

the inverse would be f(x) = x-7

A pool in the shape of a rectangular prism holds 672 cubic feet of water. The pool is 4 feet deep and 8 feet wide. What is the length of the pool in yards?

Answers

the correct answer is:

The length of the pool is 21 feet, which is equivalent to 7 yards when converted (21 feet ÷ 3).

To find the length of the pool in yards, we first need to find its dimensions in feet. We know the pool is shaped like a rectangular prism, so we have:

- Depth (D) = 4 feet

- Width (W) = 8 feet

To find the length (L), we can use the formula for the volume of a rectangular prism:

[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \][/tex]

Given that the volume of the pool is 672 cubic feet, we can plug in the known values:

[tex]\[ 672 = L \times 8 \times 4 \][/tex]

Solving for L:

[tex]\[ L = \frac{672}{8 \times 4} \]\[ L = \frac{672}{32} \]\[ L = 21 \][/tex]

So, the length of the pool is 21 feet.

Now, to convert this to yards, we know that 1 yard is equal to 3 feet. Therefore:

[tex]\[ \text{Length in yards} = \frac{21}{3} = 7 \][/tex]

So, the length of the pool in yards is 7 yards.

Need help on this, someone help me.

Answers

Answer:

I believe it is B

Step-by-step explanation:

Write an expression with at least 6 terms
that is equal to 7x + y - 4.

Answers

Answer:

3x+4x+y-2+1+2

Step-by-step explanation:

just break up each number into smaller parts make sure you have a variable on each part if the whole nnumber has a variable!

Final answer:

The expression 3x + 4x + y/2 + y/2 - 2 - 2 has six terms and is equal to the original expression 7x + y - 4.

Explanation:

The original expression given in the question is 7x + y - 4. The task is to write an expression with at least 6 terms that is still equal to this original expression. We can do this by breaking down some of the terms in the original expression. Like this: 3x + 4x + y/2 + y/2 - 2 - 2. Here, the term 7x is broken down into 3x and 4x. The term y is broken down into y/2 and y/2. And the term -4 is broken down into -2 and -2. Even though we now have six terms instead of three, the expression still equals to the original expression 7x + y - 4.

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Summarize what happens when the number of spins in experimental probability gets closer to 100.
a.
The outcomes get further from the theoretical probability for the same experiment.
c.
The outcomes stay the same.
b.
The outcomes get closer to the theoretical probability for the same experiment.
d.
The sample space gets larger.

Answers

Answer:

n   sjn a

Step-by-step explanation:

Answer:

b.

The outcomes get closer to the theoretical probability for the same experiment.

Step-by-step explanation:

EDG2021

Find the percent of each number
22% of 45
30% of 210
42% of 360
4.6% of 80
12% of 35
55% of 128

Answers

Answer:

1. 9.9

2. 63

3. 151.2

4. 3.68

5.4.2

6. 70.4

Step-by-step explanation:

22% of 45 is 9.9
30% of 210 is 63
42% of 360 is 151.2
4.6% of 80 is 3.68
12% of 35 is 4.2
55% of 128 is 70.4

The group admission price at Wild World is given by the equation

p = 50 + 10n. Find the prices for groups with 5, 11, and 23 members.

Answers

Final answer:

To calculate the group admission prices for 5, 11, and 23 members at Wild World, we use the given equation p = 50 + 10n. The resulting prices are $100 for 5 members, $160 for 11 members, and $280 for 23 members.

Explanation:

The group admission price at Wild World is determined by the equation p = 50 + 10n, where p is the total price and n is the number of members in the group. To find the prices for groups with 5, 11, and 23 members, we substitute the corresponding values of n into the equation.

For a group of 5 members: p = 50 + 10(5) = 50 + 50 = 100.For a group of 11 members: p = 50 + 10(11) = 50 + 110 = 160.For a group of 23 members: p = 50 + 10(23) = 50 + 230 = 280.

The prices for groups with 5, 11, and 23 members are $100, $160, and $280 respectively.

The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously. If you were to flip four coins what is the probability that you get a two or more coins that land heads up?

Answers

Answer:

i think this is how you find it but i apologize if im wrong

Step-by-step explanation:

Use binomial probability since there are only two possibilities: success and failure, where success represents getting a heads, and tails being a fail. Therefore we are trying to find P(X=2), which is (42)⋅(0.5)2⋅(0.5)2=0.375.

The probability that you get two or more coins that land heads up is 0.6875.

What is the theoretical probability?

Theoretical probability is an approach in probability theory that is used to calculate the probability of an outcome of a specific event.

The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously.

If you were to flip four coins what is the probability that you get two or more coins that land heads up is;

Probability = flip 0 coin + flip 1 coin + flip 2 coin

Probability = 0.375 + 0.25 + 0.0625

Probability = 0.6875

Hence, the probability that you get two or more coins that land heads up is 0.6875.

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Using the greatest common factor for the terms, how can you write 56 + 32 as a product?

A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)

PLZ HELP

Answers

Answer:

8(7+4) (C.)

Step-by-step explanation:

First find the greatest number that can go into 56 and 32:

8!

Then we can see if C. works because it is the only one with an 8 out in front:

[tex]8*7=56[/tex]

and...

[tex]8*4=32[/tex]

So C. is the right answer!

Solve the problem below by finding a common denominator.

23+12

Answers

Answer:

35

Step-by-step explanation:

23 + 12 = 35

= (20 + 10) + (3 + 2)

= 35

I am pretty sure the answer is 35
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