given six people how many combinations of three are possible if the order does NOT matter

Answers

Answer 1

Answer:

20 Combos

Step-by-step explanation:

6C3 = 6! / ( 3! * 3!) = 20 COMBOS


Related Questions

simplyfy 5x-2x
How?!

Answers

Answer: 3x

Step-by-step explanation:

5x-2x=

5*x-2*x=

x(5-2)=

x*3=3x

Answer:3x

Step-by-step explanation:

combine like terms

5x-2x

2x is a negative

so 5-2=3

so in conclusion 3x

is 5,521 a reasonable answer for 218x12

Answers

Answer:

No

Step-by-step explanation:

Without even answering 218*12 it is obvious this is the wrong answer

the last digit of each number determines the last digit in the answer

218 has 8 as the last number and 12 has 2

multiply them together

2*8 is 16

the last digit is 6 and not 1

Answer:

No- 218 * 12 = 2616.

Multiply with an algorithm and add the partial products up to check. You don't get 5,521 when you multiply 218 * 12.

pete's pizza sells 12 inch pizzas. if pizza diameter has a mean of 12 inches and a standard deviation of .25 inches, what percent of pizzas are less than 12.04 inches? (z value of .16 is equal to a cumulative standardized normal distribution of .5636). 56.36% 43.64% 6.36% cannot be determined with the information given

Answers

The percent of pizzas that are less than 12.04 inches is 56.36%

Given the following:

Mean, μ=12

Standard deviation, σ=0.25

Percent of pizzas less than 12.04:

Let P(X<12.04) be percent of pizzas less than 12.04

P(X<12.04)=P(Z<(x-μ)/σ)

               =P(Z<(12.04-12)/0.25)

               =P(Z<0.16)

Z-value of 0.16 from cumulative standardized normal distribution is 0.5636

Given that P(X<12.04)=P(Z<0.16), and P(Z<0.16) from normal distribution table is 0.5636,

P(X<12.04)=P(Z<0.16)=0.5636

P(X<12.04)=0.5636

                 =56.36%

Hence, the correct choice is 56.36%

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its takes 8 lemons and 18 cups of water to make lemonade. You have one lemon. How many water do you need to make lemonade?

Answers

How many  cups of water do you need to make lemonade? 9/4 cups

How is the number of cups calculated?

Given:

8 lemons need =18 cups of water

1 lemon needs= x cups of water

By cross- multiplication method,

[tex]\frac{8}{1} =\frac{18}{x}[/tex]

8x = 18

x = 18/8

 = 9/4 cups of water is needed to make lemonade

What is the cross- multiplication method?

In the cross multiplication method, we multiply the numerator of one fraction by its denominator and the first term's denominator by its numerator. We employ the cross multiplication approach to locate the answers to two linear equations.Cross-multiplication can be used to compare unlike fractions.

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NEED HELP ASAP - 100 POINTS (Algebra 2)
When solving quadratic equations, there are benefits to utilizing one method over the other. In your own words, explain what the advantages may be of using the method of completing the square to solve quadratic equations.

Answers

Answer:

Step-by-step explanation:

Comment

That's an awful lot of points to give away. Ten or 15 should be enough.

Completing the square.

1. First of all you can find the minimum or maximum immediately.

2. Second it cuts out the need to use the givens (a, b, c) in the quadratic formula which can at times be very cumbersome.

3. It gives you the opportunity to estimate the x and y roots without calculating them. Estimating on a test is a very valuable asset.

urgent pls help!!!! ​

Answers

The number that makes the mixed fraction equation true is -1.

What number makes the equation true?

The number that makes the equation true is calculated by applying the following formula as follows;

The given equation;

-7 ¹/₂ + ? = - 8 ¹/₂

The solution of the equation is calculated as follows;

Convert each mixed fraction into improper fraction;

-7 ¹/₂ = -15/2

-8 ¹/₂ = -17/2

-15/2 + ? = -17/2

Collect the similar terms together as follows;

? = -17/2 + 15/2

? = (-17 + 15) / 2

? = -2/2

? = - 1

Thus, the number that makes the equation true is -1.

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Estimation Solve the equation. First estimate using the perfect square closest to 85. Then use a calculator.
72 = 85
Estimate.
Z~ 9, -9"
(Use a comma to separate answers as needed.)
Use a calculator.
zan
(Round to the nearest tenth as needed. Use a comma to separate answers as needed.)

Answers

Answer: z aprox = 9.2

Step-by-step explanation:

1) Square root 85 to get the answer

sqrt(z^2)=sqrt(85)

z = sqrt(85)

z = 9.2195

z aprox = 9.2

is it right? but there isn't a square root for 3. And also I need an answer for the other one.. I need a great explanation quickly help!​

Answers

Answer:

[tex]x=0, \quad x=3[/tex]

Step-by-step explanation:

Given equation:

[tex]9x^2-27x=0[/tex]

Factor out the common term 9x:

[tex]\implies 9x(x-3)=0[/tex]

Zero Product Property:   If a⋅b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x:

[tex]\begin{aligned}\underline{\sf Case\; 1} & & \underline{\sf Case \;2}\\9x&=0 & x-3&=0\\\dfrac{9x}{9} & =\dfrac{0}{9} & \quad \quad x-3+3 & =0+3\\x&=0 & x&=3\end{aligned}[/tex]

Therefore, the solutions to the given equation are:

[tex]x=0, \quad x=3[/tex]

A bag contains ten tlles labeled B, C, D, E, F, G, H, I, J, and K. One tile will be randomly picked.What is the probability of picking a letter that is not a vowel?Write your answer as a fraction in simplest form.

Answers

The number of vowels is:

[tex]2[/tex]

The total number of tiles is:

[tex]10[/tex]

Therefore, the total number of letters not vowels is given by:

[tex]10-2=8[/tex]

Hence, the probability of picking a letter that is not a vowel:

[tex]\frac{8}{10}=\frac{4}{5}[/tex]

Therefore the required probability is 4/5

prediction of the mean value of the dependent variable y for values of the independent variables x 1, x 2, . . . , x q that are outside the experimental range is called

Answers

Prediction of the mean value of the dependent variable y for values of the independent variables x 1, x 2, . . . , x q that are outside the experimental range is called extrapolation of data.

What is extrapolation of data?

In statistics and mathematics, especially in the branch of data-science it is quite common to use a range of values from a parameter to predict the values of the dependent variable.

One of the most common applications of this is regression equations, when pairs of one of the independent variables with the dependent variable are used to predict the dependent variable.

In the case of this problem, we want to predict the dependent variable, but with values that are outside the experimental range, hence we extrapolate the data inside the experimental range for values that are outside the experimental range.

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51 points composite functions need help soon

Answers

Answer:

(f∘g)(12) = 24

Step-by-step explanation:

Pre-Solving

We are given the functions f(x)=4x+8 and [tex]g(x)=\sqrt{x+4}[/tex]. We want to find (f∘g)(12).

(f∘g)(12) means that we first find the value of g(12), and then plug that value into f(x).

Solving

First, we find g(12). To do this, substitute x as 12.

[tex]g(12) = \sqrt{12 + 4}[/tex]

Add 12 and 4 together under the radical.

[tex]g(12) = \sqrt{16}[/tex]

Take the square root of 16.

g(12) = 4

Now, substitute 4 as x in f(x) = 4x + 8.

f(4) = 4(4) + 8

Multiply.

f(4) = 16 + 8

Add 16 and 8 together.

f(4) = 24

f(4) has the same value as (f∘g)(12), since 4 is the value of (g)(12), and then the value of g(12) was plugged in as x in f(x).

Therefore, (f∘g)(12) is 24.

In the diagram below of triangle DEF, G is a midpoint of D E and H is a midpointof EF. If MZGHE = x + 52, and mZDFH = 96 – 102, what is the measureof ZDFH?

Answers

According to the given figure, angles GHE and DFH are corresponding angles, which are equal because GH and DF are parallels. So, we can express the following

[tex]m\angle GHE=m\angle DFH[/tex]

Replacing the given expressions, we have

[tex]x+52=96-10x[/tex]

Let's solve for x

[tex]\begin{gathered} x+10x=96-52 \\ 11x=44 \\ x=\frac{44}{11} \\ x=4 \end{gathered}[/tex]

Then, we find the measure of the angle DFH

[tex]\begin{gathered} m\angle DFH=96-10x=96-10\cdot4=96-40 \\ m\angle DFH=56 \end{gathered}[/tex]Hence, the angle DFH measures 56°.

Mary Beth collected 8 pounds of aluminum cans to recycle to start. She plans on collecting 3 more pounds each week.
How many total pounds of aluminum cans will she have collected after 3 weeks?

Answers

Answer:

She will have a total of 17 pounds.

Step-by-step explanation:

You could simply put the question is slop intercept form to figure it out from there.

y = m(x) + b

y = 3(x) + 8

y = 3(3) + 8

y = 9 + 8

y = 17

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victor had a goal of making a 90 on each of his math tests. at the end of the year, he was within 5 points of his goal for each test. what are the maximum and minimum scores that he could have received?

Answers

Answer: he could have gotten 100 or 0

Step-by-step explanation: he could have had alot of tests and gotten 100 on all of them to even out the one zero.

what is 12 times 12 i just need to know

Answers

Answer:

144

Step-by-step explanation:

12 * 12 = 144

Answer:

It's 144.

..............

Jacob has 7 marbles. Darren has 17 marbles.
How many more marbles does Darren have
than Jacob?

Answers

Darren has ten more marbles

Max is designing a hot tub for a local spa.

He wants the hot tub to have a diameter of 90 inches, what is the approximate area required for the installation of the hot tub? (Use 3.14 for.)

Answers

Max is designing a hot tub for a local spa, he wants the hot tub to have a diameter of 90 inches, the approximate area required for the installation of the hot tub is [tex]6358.5in^{2}[/tex]

What is a circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is  separation between any point on the circle and its center. The radius must typically be a positive integer. A degenerate case is a circle with r=0. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.

A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior. In common parlance, the word "circle" can apply to either the figure's boundary or its entirety, including its inside; in rigorous technical parlance, the circle only refers to the boundary and the entire shape is referred to as a disc.

A circle can also be described as a particular type of ellipse where the semi-major and semi-minor axes are equal, the eccentricity is 0, and the two foci are coincident, or as the two-dimensional shape with the greatest area per unit perimeter squared when applying calculus of variations.

if, diameter= 90 inches

radius = 90/2= 45inches

area= [tex]\pi r^{2}[/tex]

       = 3.14* 45* 45

      = 6358.5[tex]in^{2}[/tex]

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An investor puts ​$800 in an account that pays ​2% interest compounded annually. Find the account balance after 5 years.

Answers

The account balance is $883.264 after 5 years.

The Principal amount is $800, the time given is 5 years and the rate of interest is 2%.

We have to find the account balance after 5 years.

Formula to find the amount

Amount = Principal × [tex](1 +\frac{rate}{100}) ^{time}[/tex]

Now putting the value we get,

Amount = 800 × [tex](1 + \frac{2}{100} )^{5}[/tex]

             = 800 × [tex]\frac{102}{100 } ^{5}[/tex]

             = 800  ×[tex]1.02^{5}[/tex]

             = 800× 1.104

             = 883.264

Therefore the amount is $883.264 that is the account balance after 5 years.

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Marsha used a graphing calculator to graph an expense and a revenue function for her family’s printing business. The graph looked like the one below.

Answers

Answer:

a

Step-by-step explanation:

If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)

Answers

If we write [tex]k[/tex] where we see [tex]x[/tex] in the equation and set the result equal to [tex]-10[/tex], we get the result.

[tex]f(k)=k(k)^3+k^2-k(k)+2[/tex][tex]=k^4+k^2-k^2+2[/tex][tex]=k^4+2=-10[/tex][tex]k^4=-12[/tex][tex]k_{1}=\sqrt[4]{3}(-1-i)[/tex][tex]k_{2}=\sqrt[4]{3}(-1+i)[/tex][tex]k_{3}=\sqrt[4]{3}(1-i)[/tex][tex]k_{4}=\sqrt[4]{3}(1+i)[/tex]

PLEASE HELP ME I NEED HELP​

Answers

The ordered pairs are (0,-7).

How Can an Ordered Pair Be Found?

Any equation's ordered pair can be calculated by substituting any integer or the rational number for one of the variables, then solving for the remaining variable.

Consequently, we obtain values for both variables that meet the stated equation.

Solution:

5x - y = 7

Lets take, x = 0

Then,

5(0) - y = 7

y = -7

Then,

The ordered pair is (0,-7).

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The highest temperature recorded in the town of Westgate this summer was 95°F. Last winter, the lowest temperature recorded was −5°F. Find the difference between these extremes.

Answers

100° because since it’s subract you minus and since the value is negative you take it as well 95-(-5) = 95+5 = 100

Pentagon A’B’C’D’E’ is the image of pentagon ABCDE under a dilation with a scale factor of 3/4.

What is the length of segment AE?

Answers

The length of segment A'E'  under a dilation with a scale factor of 3/4 is; 3/2 units.

How to Interpret Scale of Dilation?

From the included graph the coordinates of the points A and E, in the pentagon ABCDE with reference to point A are;

A: (0, 0)

E: (0, 2)

The length of the segment AE = √((2 - 0)² + (0 - 0)²) = √(2²) = 2

When a pentagon ABCDE is dilated to pentagon A'B'C'D'E' with a scale factor of 3/4, we have;

Length of segment A'E' = 3/4 × Length of segment AE

Therefore;

Length of segment A'E' = 3/4 × 2 = 3/2  units.

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Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent.

From 68 to 63

Answers

The percentage increase is 7.9 %.

The given numbers are 68 and 63.

What is the percent change?

Percentage change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage.

Here, old value = 63 and new value = 68

Difference = 68-63 =5

Percentage increase = Difference of old value and new value ÷ old value

= 5/63 × 100

= 0.0793 × 100

= 7.93 %

≈ 7.9 %

Therefore, the percentage increase is 7.9 %.

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A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can
seat at most 200 people The manager wants to collect at least $1000 from ticket sales.
Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.
Which inequalities are among the constraints lor this situation?
Select each correct answer.
0 z t y ≥ 1000
O 12z + 8y ≥ 1000
O 12 + 8y ≤ 1000
O zty 2 200
O z+ yS 200
D 12z + 8y ≤ 200

Answers

The inequalities that are the constraints for the situation are 12x + 8y ≥ 1000 and x + y ≤ 200 options (B) and (D) are correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8.

Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.

Total collection = 12x + 8y

12x + 8y ≥ 1000

x + y ≤ 200

Thus, the inequalities that are the constraints for the situation are 12x + 8y ≥ 1000, and x + y ≤ 200 options (B) and (D) are correct.

The missing options are:

12x+8y≤100012x+8y≥1000x+y≥1000x+y≤200x+y≥20012x+8y≤200

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Using the SSS congruence criterion, what additional information is needed to show that ARST AUTS?​

Answers

A) RT and US
if you’re going by the SSS congruence therom you can see that side RS and UT are congruent. that’s given and TS and ST are also congruent because of the reflexive property. therefore all you need left is RT and US to prove SSS congruence therom

Rewrite the power as a product of powers (2ax)^3

Answers

The power can be re written as a product of  (2ax)^3 as (2ax *2ax* 2ax ).

What is product and power?

Product can be described as the multiplication operation of two or more terms so that another term can be gotten just like the one that is been given in the question that we were asked to rewrite.

Power serves as the degree that is been found on the terms , the degree that can be on the term is 3, then this can be expressed in three terms which will be done below.

Therefore, the given expression  (2ax)^3   can be rewritten as (2ax *2ax* 2ax )

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Evaluate. Write your answer as a whole number or as a simplified fraction.

Answers

36.

When you divide powers with the same base (in this case, 6), you subtract the exponents.

See details:

[tex]\frac{6^{8} }{6^{6} } \\8-6=2\\6^{2}=36[/tex]

DONT IGNORE HELP PLEASE

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0-3}{2-0}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line

please help
with answer

Answers

Answer:

-12 is the answer

Step-by-step explanation:

Substitute 1/4 for a and 6 for b in the equation

-8ab

-8(1/4)(6) Multiply

-8(1.5) Multiply

-12

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