How many combinations of 3 variables are possible where each variable can take only two values?

Answers

Answer 1

The total number of combinations is given by the product between the numbers of options, so there are 8 combinations.

How many combinations are possible?

Here we have 3 variables and each can take two values:

x = {x₁, x₂}

y = {y₁, y₂}

z = {z₁, z₂}

The total number of combinations is equal to the product between the number of options that we have for each variable, then the number of combinations is:

C = 2*2*2 = 4*2 = 8

C = 8

There are 8 combinations.

Learn more about combinations:

https://brainly.com/question/11732255

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Related Questions

Which has the greater value, -4 or -5?

please step by step

Answers

Answer:

-5 is the greater value

Step-by-step explanation: because they are both negative but if the other one is positive and the other one is negative, the positive is the greater value.

y=−x+2 y=3x−4 ​ khan

Answers

Answer: 0

Step-by-step explanation:

2y -3x - 4 = 0

Subtract 2y from both sides of the equation.

-3x - 4 = -2y

Add 4 to both sides of the equation.

-3x = -2y + 4

Divide each term by -3 and simplify

Solve for a
a³ = 100

Answers

Answer: 4.641588833612779

Step-by-step explanation:  

By using a calculator I was able to find the question answer.  I am hoping this was the answer you needed.  I hope I helped!  :)

Avery deposited 1250 in a new savings account. Which amount is closest to the balance of the account at the end of three years

Answers

Answer: $1,467.80

Step-by-step explanation:

The formula for the future value given annual compounding is:

= Amount * ( 1 + rate) ^ number of years

The amount after 3 years at 5.5% is therefore:

= 1,250 * ( 1 + 5.5%)³

= 1,250 * 1.174241375

= $1,467.80

WHAT IS THE RANGE FOR THIS GRAPH?

PLEASE HELP

Answers

Answer:

[0,5] or 0≤ y≤ 5

Step-by-step explanation:

Not 100% certain but all the values are included even though there is an open circle

Given the vertex of a parabola is (-3,1) and also contains the point (-4,-1). State the exact equation of the parabola in vertex form, show all your work.

Answers

Answer:

y = -2(x + 3)^2 - 1

Step-by-step explanation:

The vertex equation of a parabola is y = a(x - h)^2 + k.  If the vertex here is (-3, 1), then this equation becomes y = a(x + 3)^2 + 1.

Knowing that the graph passes through (-4, -1), we let  y = -1 and x = -4, obtaining:

-1 = a(-4 + 3)^2 - 1, which must be solved for a:

-1 = a - 1.  Therefore, a = -2, and the exact equation of this parabola is:

y = -2(x + 3)^2 - 1

pls helpppppppppppppppppppppp

Answers

Answer:

∠A = 6x + 4

Step-by-step explanation:

Hello There!

We are given the exterior angle ∠ACD and an interior angle ∠B

If you didn't know this is the rule for exterior angles of a triangle:

An exterior angle is equal to the sum of its opposite interior angles

so ∠ACD = ∠A + ∠B ( ∠A and ∠B being the opposite interior angles)

So with the information that we are given we plug them into their corresponding angle

then we would have

8x+5 = ∠A + 2x + 1

now we solve for A

Well how do we solve for A?

Well we have to isolate the variable

To do so we want to get rid of 2x + 1

We do that by subtract each side by 2x and 1

8x + 5 - (2x + 1 ) = 6x + 4

we're left with

∠A = 6x + 4

what is the diameter of the circle below? use 2.14 for pi

Answers

Answer:

4.8

Step-by-step explanation:

d = 4.8

The diameter is the WHOLE line for the circle and it's given

Dollhouse furnishing come in different sizes depending on the size of the doll house. Whyyy ratio of the size of the dollhouse item to the size of the larger item dollhouse piano: 1 3/4 in. High real piano: 3ft 6in. High

Answers

Answer:

1: 24

Step-by-step explanation:

The ratio = size of smaller object/size of larger object = Height of dollhouse piano, h/height of real piano, H

H = 3 ft 6 in = 12 in/ft × 3 ft + 6 in = 36 in + 6 in = 42 in

h = 1³/₄ in = 7/4 in

So ratio = h/H = 7/4 in ÷ 42 in = 7/4 in × 1/42 in = 1/4 × 1/6 = 1/24

So ratio = h/H = 1/24 ⇒ h:H = 1: 24

Drum Roll Please
Our school band is selling sweatshirts and t
shirts to raise money. The goal is to raise
$1200. The sweat shirts cost $12.50 and will
be sold for $15. The shirts will cost $6.50
and be sold for $8.
a) Write a function to describe the
number of shirts and sweatshirts the band can sell to reach their profit goal.
Explain your reasoning.

Answers

A pair of shirt and pants is 23$. 1200 divided by 23$ is 52 pairs of clothes which is 26 pants and 26 shirts.

6.5. Does Spending Measure Welfare? Suppose a community spends $1 million on salaries and equipment for its police department. Because it believes that citizens are now more law-abiding, the community decides to cut back on the number of police it employs. As a result, the community now spends $800,000 less on police officers. The crime rate remains the same.

a. What happens to measured GDP?

b. Does GDP accurately reflect welfare in this case?

Discuss the underlying issue that this example poses.

Answers

Answer:

(a) Measured GDP will decrease by $200,0000

(b) No

Step-by-step explanation:

(a) Gross Domestic Product (GDP) is the total value in monetary terms of al the goods produced in a geographic location.

There will be a $200,000 decrease in the value of the GDP of the community as a result of reduction in the community spending from $1 million to $800,000.

(b) Generally, GDP is not a true indicator of welfare, likewise in this case, GDP does not reflect the welfare of the community.

There's a decrease in the community spending from $1 million to $800,000 but there's an increase in the welfare of the community as a result of decrease in crime rate.

The fare for taxi journeys in a certain town is $2.00 plus $1.00 for each kilometre. Using this information, estimate: (i) The fare for a journey of 3.5 km. (ii) The distance travelled if the fare was $6.00​

Answers

Answer:

Step-by-step explanation:

Since the journey initially costs $2 (this will be our y-intercept), and the variable (x) is $1 for every additional kilometer. This can be modelled as...

y=1x+2

(i) if we want to know the cost of what 3.5 km would cost, we simply plug it into our equation...

y=1(3.5)+2

Answer: $5.5

(ii) For this question you can set the y value equal to 6 and plug in a random number for x until you get 6 on both sides. In this case...

6=1x+2

6=1(4)+2

The distance traveled if the fare was $6 is 4km

I hope this helps you! When I was younger I used to use this site for help and now I'm paying it forward!


(b) Write down the coordinates of the turning point of y = x^2 - 2x - 4

Answers

Answer: [tex](1,-5)[/tex]

Step-by-step explanation:

Given

Curve is

[tex]y=x^2-2x-4[/tex]

At the turning point of the curve, the slope will be zero.

Differentiate the curve

[tex]\Rightarrow y'=2x-2[/tex]

Substitute 0 for [tex]y'[/tex]

[tex]\Rightarrow 2x-2=0\\\Rightarrow x=1[/tex]

[tex]\therefore y=1^2-2\times 1-4=-5[/tex]

[tex](1,-5)[/tex] is the turning point

1-cosx/1+cosx=secx-1/secx+1
Verify the identity. I tried all identities that I could, but could not find how it worked. Can you show me how to verify with all steps?

I usually do not ask on brainly, but I've tried everything else and still got nothing.
Currently in Algebra 2 and in the 9th grade.

Answers

Answer:

Sorry cannot help you, I'm only in year 8 (7th grade if I'm correct), and am horrible at Algebra. I'm sorry :(

5 people shared 2 pizzas how much do they get

Answers

Answer: 2 and a half slices

Step-by-step explanation: 5/2 is 2.5

PLEASE HELPLPPPpppppp

Answers

Answer:

40

Step-by-step explanation:

it could be 40 all I did was subtract 80 from 120 but ¡dk wasn't really good in geometry

a b c d ????????? which one is it please hurry im timed . high points

Answers

Answer:

0

Step-by-step explanation:

X is greater than -4 which leads to having to technically add 4 getting you to 0.

-4, -3, -2, -1, **0**

I hope this is correct and helps you!!!!

Hello everybody please help me (this is 6th grade math)

Answers

Answer:

Look at the image.

Step-by-step explanation:

5. A right triangle has a hypotenuse that is 13 cm and a leg that is 4 cm.
Determine the length of the unknown leg. Round to the nearest tenth.

Answers

Answer:

ok so square 13 cm, and square 4 cm. then you will add those together then take that number and find the square root  plz mark brainliest

Jamal has 16 marbles. Zing has 9. How many fewer marbles does Zing
have than Jamal?

Answers

Answer:

7

Step-by-step explanation:

16 - 9 = 7

Answer:

7

Step-by-step explanation:

16-9=7

DhhdhcdchxKhkkjdchjcjjdhc

answers r
6 units
7 units
8 units
9 units

Answers

Answer:

9 units

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:


6. True or false: A compass contains a magnet that responds to the geomagnetic field of
earth

Answers

The correct answer is true

two three digit numbers are formed using the same integers and then when they are added they form another three digit number with the same integers find the added number​

Answers

Answer:

I just cannot find it, so I appologize to the author. ... 2. Sum of all the numbers which can be formed by using the digits (repetition being ... Same is true for the other two digits. ... One more tip: when we add up all the numbers, we can start with the ... (1+5+8)/3 * 111 - another way to write 3-digit number formed from "average

Step-by-step explanation:

Find the radius of the button

Answers

radius is half of diameter
d=28
28/2=14

radius =14

Answer:

the radius is 14

Step-by-step explanation:

... ....ur welcome.........

since the diameter of it is 28 the radius is half of it

Can Someone help me please I don't understand

Answers

Answer: 55 Gallons.

Step-by-step explanation: you can trust me on this, and I promise it will be correct.

What is a W-2? ОА. A tax form given to me by my employer each tax year to show my earnings and taxes withheld. ов. A tax form I fill out when I get my job to show my employer how many deductions I will be claiming on my taxes. OC. The tax form I fill out when I have to do my taxes. D. A tax form used by my parents to claim me on their income tax.​

Answers

Answer:

A) A tax form given to me by my employer each tax year to show my earnings and taxes withheld.

Can someone help???!!!

Answers

function a is a linear equation

Please please can someone help me asap thank you

Answers

Answer:

Answers bellow

Step-by-step explanation:

FIGURE A

Decreasing by 1/4 =25%

Figure B

Increase by 1/5 = 20 %

Page 2

b The amount of sunny days this year is 75% of the amount of sunny days last year

c The amount of houses sold this month is 150 % amount of houses sold last month

d The runner's time to complete this marathon was 110% he needed to complete the last marathon(not sure about that one )( it's either 90 % or 110)

what type of association is there ??

Answers

Answer:

Negative because the dots travel down away from the positive area

» Quinn is a contestant on a quiz show. Quinn's score changes by -15 points for 4 questions in a row. D *) What is the total change in Quinn's score?​

Answers

Answer:

-60

Step-by-step explanation:

-60 hope this helped you
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