If we have six decisions to make and 2 choices for each decision, how can we represent the number of potential outcomes?

A 6 to the power of 2
B 2 to the power of 2
C 6 to the power of 6
D 2 to the power of 6

Answers

Answer 1

Answer:

A

Step-by-step explanation:

because for each 6 you have 2

Answer 2

We can represent the number of potential outcomes by 2 to the power 6.

What is permutation and combination?

'In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order.

The combination is a way of selecting items from a collection, such that the order of selection does not matter.'

'The power of a number says how many times to use the number in a multiplication. Powers are also called exponents or indices.'

According to the given problem,

We can assume, for two choices, we have one decision.

This can be represented as [tex]2^{1}[/tex].

Since, we have six decisions,

Representation of the potential outcomes ⇒[tex]2^{1}+2^{1} +2^{1} +2^{1} +2^{1} +2^{1}[/tex]

                                                                       =  [tex]2^{6}[/tex]

                                                                       = [tex]64[/tex]

Hence, the representation of the number of potential outcome is 2 to the power 6.

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Related Questions

A triangle has a base of 15 feet and a height of 9 feet. What is the area of the triangle? Label the figure. Write the formula, plug in the values, and solve.

Answers

Answer:

135...................

In 2000, a population
of a city is one million
people. If it has a
doubling time of 25
years, when will its
population reach two
million?

Answers

Answer:

2025

Step-by-step explanation:

Given a starting date of 2000 with an initial population of 1 million.

If it takes 25 years for the population to double, then the population will be 2 million in 2025.

Because 2000 + 25 = 2025.

Which is a composite number? 81,41,71,61

Answers

Answer:

81

hope this helps:)

What is the range of this function?
Please help

Answers

Answer:

B

Step-by-step explanation:

The range is all numbers that Y can range from, so looking at the chart we can see that the highest value on the top of the curve that Y reaches is 4. Looking at the very start of the line and the very end of the line, you can see that -inf is definitely in the range of the y values. So, we can write it like this:

-inf<y<=4

which happens to be B

Range here should be option (b)

Which of the following is a prime number between 10 and 20?
A.
14
B.
11
C.
18
D.
15



Answers

Answer:11

Step-by-step explanation:

Answer:

B - 11

Step-by-step explanation:

the ratio of boys to girls in a class is 3:5. how many girls if there are 27 boys

Answers

Answer:

45 girls

Step-by-step explanation:

since the ratio is 3:5, 3 being the boys, we can divide 27 by 3. We get nine, which is the number we multiply 5 with. 9*5=45 girls

there is 45 girls when you divide

The number of snowboarding accidents reported weekly during one winter season at the Fun
Mountain Resort:
12, 15, 6, 8, 12, 17, 10, 8, 7, 13, 14, 16, 8, 18, 11

Whats the mean?

Answers

Answer:

11.7

Step-by-step explanation:

add all the numbers then divide the answer with the number of how many numbers they are

12 +15+ 6+ 8 +12+17 +10+8+ 7+ 13+ 14 +16 +8+18+11=175

175/15=11.6666666667

round the answer to the nearest whole number=11.7

Kites have at least one pair of congruent opposite angles. Plsss helpp

Answers

Answer:

I mean you could have looked it up but, here is the answer...

Step-by-step explanation:

If a quadrilateral is a kite, then its diagonals are perpendicular. If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent. If a quadrilateral is a kite, then one of the diagonals bisects the pair of non-congruent angles.

Kites or kite shapes have at least one pair of congruent opposite angles, and the provided statement is correct.

What are the properties of Kite shapes?

A kite is a closed shape quadrilateral which have 4 sides. In this 4 sides, the two pair of adjacent sides are equal.

Properties of kite shapes are listed below-

Two pairs of adjacent sides are equal in a kite shape.The kite has a pair of opposite angles which are equal.The long diagonal bisect the short one.Both the diagonals of the kite is perpendicular to each other.

As, the kites has a pair of opposite angles which are equal.

Thus, Kites or kite shapes have at least one pair of congruent opposite angles, and the provided statement is correct.

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Choose the answer that best completes the sentence if you know a root of a function is -2+Sqrt3i then

Answers

Answer:

The answer is D,

-2 - (square root) 3i

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is 30 percent off of 70?

Please explain why and how

Answers

Answer:

49

Step-by-step explanation:

10% of 70 is 7

multiply that by 3 = 21

70 - 21 = 49

You will have to pay $49 for a item with original price of $70 when discounted the 30% because if you buy an item at $70 with 30% discount and you will pay 70 - 21 = 49 dollars.

The area, A, of a triangle is one-half the product of the triangle's base and height. A = A = (12)(5) A = ( b+ h) A = A = (b·h)

Answers

Answer:

A = (1/2) * b * h

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

The area of a triangle is half the product of the base of the triangle and the triangle height. The area is given by the formula:

A = (1/2) * b * h

A = (1/2)bh  = 0.5bh

Where A is the area of the triangle, b is the bae of the triangle and h is the height of the triangle.

Fill in the missing values
in the table below:

Answers

I don’t think I can get a dance to go to

Based on the information the values in the table will be:

20 35

4. 7

15. 21

What's proportion?

In mathematics, proportions refer to the equality of two ratios. A ratio is a comparison of two quantities, typically expressed as a fraction. When two ratios are equal to each other, they form a proportion.

A proportion can be written in the form:

a/b = c/d

Here, "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio. The proportions state that the ratio of "a" to "b" is equal to the ratio of "c" to "d".

20/35 × 7

= 4

Learn more about proportion

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what is COP in mathematics

Answers

Answer:

Coefficient of Performance

Using the substitution method, Vito is solving the following system of equations algebraically:
y + 3x =-4
2x – 3y =-21
Which equivalent equation could Vito use?
A) 2(-3x - 4) + 3x =- 21
B) 2(3x - 4) + 3x =- 21
C) 2x - 3(-3x – 4) =- 21
D) 2x - 3(3x - 4) =- 21

Answers

Answer:

The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]

Step-by-step explanation:

The given equations are:

[tex]y + 3x =-4\ \ \ Eqn\ 1\\2x-3y =-21\ \ \ Eqn\ 2[/tex]

The equations have to be solved using substitution method. In substitution method we find the value of a variable from one equation and put it in the other equation.

To find the value, we usually choose the equation in which a variable without any coefficient is available.

From equation 1

[tex]y +3x = -4\\y = -3x-4\\[/tex]

This value of y will be put in equation 2

[tex]2x-3(-3x-4)=-21[/tex]

It is the C option in choices

Hence,

The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]

Answer:

Hey, where did you get this question? Do you have answer key of this worksheets all things I need it to.

Step-by-step explanation:


The map shows different locations at a county fair. Each unit of the coordinate plane represerits 1 meter.

Which expression shows how to use the coordinates of the Ferris wheel and ticket booth to find the distance between
them?

A) (-3) - 2
B) 4 - 4
C) 2 - 4
D) 4 - (-3)

Answers

Step-by-step explanation:

answer is a I got it right on the quiz

Answer:

A

Step-by-step explanation:

can you guys please help.

Answers

Answer:

The saturday median is equal to the sunday median.

Step-by-step explanation:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

14 subtracted from a number, Divided by three, equals -8

Answers

Step-by-step explanation:

x-14 = -8

3

x-14= -8×3

x-14= -24

x= -24+14

x = -10

hope it helps..

The equation is of the form [tex]x=-10[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Here, [tex]14[/tex] subtracted from a number, Divided by three, equals [tex]-8[/tex]

So,

[tex]x-14 = -8[/tex]

Multiplify right side with [tex]3[/tex]

[tex]x-14= -8(3)\\x-14= -24\\x= -24+14\\x = -10[/tex]

Hence, the equation is of the form [tex]x=-10[/tex].

To know more about the equation

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The figure below is a net for the box to the right. What is the surface area of the box? T 1.5 feet 1.5 feet lid + + 2 feet 2 feet 1.5 feet bottom 1.5 feet T 1.5 feet 1 2 feet 4 feet 2 feet 2 feet 4 feet 34 square feet 12 square feet 33 square feet 24 square feet Done​

Answers

Answer:24 feet

Step-by-step explanation:I used it and it seem like I got it correct

Click on all the coordinate pairs that are solutions to y =2x^2 + 3x + 1.
A(0,1)
B( 1,0)
D (1,6)
C(2,11)
D(2, 15)

Answers

I think C sorry if I’m wrong

Answer:

I think it’s A C E

Step-by-step explanation:

Find an equivalent ratio in simplest terms:
54 : 70

Answers

Answer:

27/35.

I can break it down for you to understand if u want.

Step-by-step explanation:

Answer:

27/35

Step-by-step explanation:

In a right triangle, if the length of one leg is 3 cm and the length of the other leg is 4 cm, what is the length of the hypotenuse?

A. 5 cm
B. 3 cm
C. 4 cm
D. 35 cm

Answers

Answer: 5 cm

Step-by-step explanation:

9 + 16  = c^225 = c^2[tex]\sqrt{25[/tex] = c5 = c

Answer:

5

Step-by-step explanation:

Remy walked to a friend’s house m miles away at an average rate of 4 mph. The m-mile walk home was at only 3 mph, however. Express as a fraction
a) Time Remy spent walking home.
b)Time Remy spent walking.

Answers

Answer:

sorry if  im rong b

Step-by-step explanation:

It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.

Answers

Answer:

125 meters

Step-by-step explanation:

Let distance = d and time is t

Using the variation;

d = k t^2

So let’s us get k

80 = k * 4*2

16k = 80

k = 80/16 = 5

So for 5 seconds, the distance would be;

d = 5 * 5^2

d = 125 meters

Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch each line.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The gradient is the x-coefficient. The y-intercept is the constant. These are listed in the table in the first attachment. The graphs are shown in the second attachment.

Answer:

9514 1404 393

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeee pokimain soo howt :)

I need help someone help me

Answers

Answer:

Hey! So I think the answer is A! I'm so sorry if its wrong, I'm trying to get points so could you mark me as brainliest? Bye and stay safe!! <3

Step-by-step explanation:

FIND THE SLOPE 4,0 6,3

Answers

Answer: slope is 3/2

Step-by-step explanation:

Answer:

slope:  m = 3/2

Step-by-step explanation:

Identify the terms in the expression 5x−3x+12

Answers

Answer:

9,8,7,6

Step-by-step explanation:

they are 6,7,8,9 backwards so its the answer

Please help for brainliest

Answers

Answer:

I think it is C.

Step-by-step explanation:

Please mark brainliest I am knew at this

The swim team manager needs to purchase award ribbons for competitions. The table shows the sizes of packages he can purchase.



For a package of 500 ribbons, what is the cost per ribbon?

A.
$0.15


B.
$0.21


C.
$0.67


D.
$0.07

Answers

The answer is A I did the question
A I hoped this helped

which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x

Answers

Answer:

6x +15

Step-by-step explanation:

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