Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, S, for this event?

Answers

Answer 1

Answer:

S = {ABC, ABD, ACD, BCD}

Step-by-step explanation:

We are told that Ariana, Boris, Cecile, and Diego are students in the service club.

Let's denote their names with letters;

Ariana = A

Boris = B

Cecile = C

Diego = D

We are told that Three of the four students will be chosen to attend a conference. This means that the sample space will be a set showing combination of any 3 out of the 4 students.

Thus, sample space is;

S = {ABC, ABD, ACD, BCD}

Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

please help this is due tomorrow!! (SQUARE ROOTS)
Ill give brainliest!! find the value
√b^6
3√-x^6
3√-y^9

Answers

To simplify a square root: make the number inside the square root as small as possible (but still a whole number):

Example: √12 is simpler as 2√3

Get your calculator and check if you want: they are both the same value!

Here is the rule: when a and b are not negative

√(ab) = √a × √b

And here is how to use it:

Example: simplify √12

12 is 4 times 3:

√12 = √(4 × 3)
Use the rule:

√(4 × 3) = √4 × √3
And the square root of 4 is 2:

√4 × √3 = 2√3
So √12 is simpler as 2√3

Another example:

Example: simplify √8

√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)

And another:

Example: simplify √18

√18 = √(9 × 2) = √9 × √2 = 3√2
It often helps to factor the numbers (into prime numbers is best):

Example: simplify √6 × √15

First we can combine the two numbers:

√6 × √15 = √(6 × 15)
Then we factor them:

√(6 × 15) = √(2 × 3 × 3 × 5)
Then we see two 3s, and decide to "pull them out":

√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10
Fractions
There is a similar rule for fractions:

root a / root b = root (a / b)

Example: simplify √30 / √10

First we can combine the two numbers:

√30 / √10 = √(30 / 10)
Then simplify:

√(30 / 10) = √3
Some Harder Examples
Example: simplify √20 × √5√2

See if you can follow the steps:

√20 × √5√2
√(2 × 2 × 5) × √5√2
√2 × √2 × √5 × √5√2
√2 × √5 × √5
√2 × 5
5√2
Example: simplify 2√12 + 9√3

First simplify 2√12:

2√12 = 2 × 2√3 = 4√3
Now both terms have √3, we can add them:

4√3 + 9√3 = (4+9)√3 = 13√3.

Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2

Answers

Answer:

D. About 2700 in^2

Step-by-step explanation:

The area of a circle A = πd²/4 where d = diameter of circle.

A/d² = π/4 = k the proportionality constant.

So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.

So, we have

A₁/d₁² = A₂/d₂²

A₂ = A₁d₂²/d₁²

A₂ = A₁(d₂/d₁)²

substituting the values of the variables, we have

A₂ = 300 in²(60 in/20 in)²

A₂ = 300 in²(3)²

A₂ = 300 in²(9)

A₂ = 2700 in²

So, the area of circle B is about 2700 in²

The following is an example of the ____________

(a+b)+c=a+(b+c)


A.Commutative Property


B.Identity Property


C.Distributive Property


D.Associative Property

Answers

Answer:

D.Associative Property

Step-by-step explanation:

Answer:

D. Accociative Property

Step-by-step explanation:

You switched around the parenthesis!

La mitad de la edad que tenia anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años. ¿ qué edad tiene actualmente anahí?

Answers

Responder:

59 años

Explicación paso a paso:

Asumir que:

Edad actual = x

Edad 27 años atrás = x - 27

Edad dentro de 5 años = x + 5

La mitad de la edad de hace 27 años = 1/2 (x - 27)

Cuarto de edad dentro de cinco años = 1/4 (x +5)

0,5 (x - 27) = 0,25 (x + 5)

0.5x - 13.5 = 0.25x + 1.25

0.5x - 0.25x = 1.25 + 13.5

0,25 veces = 14,75

Dividir por 0,25

0,25x / 0,25 = 14,75 / 0,25

x = 59

Por lo tanto, la edad de Anahí ahora es de 59 años.

La edad actual de Anahí es de 59 años.

Sabemos por la pregunta que la mitad de la edad que tenía Anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años.

Para escribir esto como una ecuación, sea y la edad actual;

1/2(s - 27) = 1/4(y + 5)

El MCM de 2 y 4 es 4 por lo tanto;

4/2(y - 27) = 4/4(y + 5)

2(s - 27) =(y + 5)

2y - 54 = y + 5

2y -y = 5 + 54

y = 59

La edad actual de Anahí es de 59 años.

Más información sobre ecuaciones: https://brainly.com/question/2263981

Find the center and radius of the circle with the equation:

Answers

Answer:

where is the equation? And I will help.

Step-by-step explanation:

Answer:

i cant answer if there is no problome

Step-by-step explanation:

Determine the seating capacity of an auditorium with 30 rows of seats if there are 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on

Answers

Answer:

The seating capacity of the auditorium is 2,340.

Step-by-step explanation:

This question relates to an Arithmetic Progression (AP).

An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.

Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:

Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)

Where;

n = number of rows = 30

a_1 = Number seats in the first row = 20

d = Common difference = 24 - 20 = 28 - 24 = 4

Substituting the values into equation (1), we have:

Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))

Seating capacity =  15 * (40 + (29 * 4))

Seating capacity =  15 * (40 + 116)

Seating capacity =  15 * 156

Seating capacity = 2,340

Therefore, the seating capacity of the auditorium is 2,340.

hi can someone help me with this

Answers

6-3y-9y+5.7
3y-9y+6+5.7
6y+11.7

You can’t do anything further bc y doesn’t equal anything

Answer:

=−12y+11.7 I believe it's that but I am not completely sure

I believe it is

NEED HELP ASAP. WILL GIVE BRAINLIEST

Which statement describes the equivalent vectors?

The magnitudes are 10, and the direction angles are about 18º

The magnitudes are 10, and the direction angles are about 162°

The magnitudes are 100, and the direction angles are about 18°

The magnitudes are 100, and the direction angles are about 162º.​

Answers

Answer:

A) The magnitudes are 10, and the direction angles are about 18º

Step-by-step explanation:

got it right on edge :)

The statement describes the equivalent vector is A) The magnitudes are 10, and the direction angles are about 18º.

How to find the cross product of two vectors?

Suppose that two vectors in consideration are u and v, then their cross product is evaluated as:

[tex]u \times v = |u|.|v|.sin(\theta)\hat{n}[/tex]

where

the normal unit vector whose direction is decided by right hand thumb rule, and theta is the angle between u and v vector.

The two bars around a vector represents the magnitude of that vector.

Cross product returns the result as a vector itself.

From the given graph we can conclude that the magnitudes are 10, and the direction angles are about 18º.

The statement describes the equivalent vector is A) The magnitudes are 10, and the direction angles are about 18º.

Learn more about vectors here;

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What is the value of x

Answers

Answer:

x=39

Step-by-step explanation:

First I try to find the angle measurements for the rest of the angles inside the triangle. I saw that the 68 degrees and I notice that it was vertical angles, meaning that the inside is also 68. I then notice that the 107 and the other unknown angle besides x must be 180 when adding up, so I can do 180-107=73. Now I know that that angle is 73 degrees I can find x by solving this equation 180=73+68+x, which the answer comes out to be 39. so x=39.

Hope this helps you

F(x) = x^2 - 5x+8, g(x) = x^2-4
Find g(x)-f(x)

Answer Choices:
-5x-4
5x+12
5x-12
-5x-12

Answers

Answer:

-5x -12

Step-by-step explanation:

BRAINLIEST PLEASE

Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.

Answers

9514 1404 393

Answer:

  see attachments for a table and graph

Step-by-step explanation:

I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.

__

Your specific question asks for h(0):

  h(0) = -|0 +2| +1 = -2 +1

  h(0) = -1

You may want to check your other table values.

What is 2.53 Times 57.62

Answers

Answer:

145.7786

simplified to 145.78

Step-by-step explanation:

Answer:

The answer is 145

Time (seconds)

2

3

4

5

6

Height (cm)

14

21

28

35

42

Answers

Answer:

What do you need done?

Step-by-step explanation:

Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7)

Answers

y=-3x -3 is the answer i believe
y=-3x+7 you can check using and app called desmos

Customers of a certain credit card earn points for using the card. The table below shows the number of points earned for the amount spent. ( Photo Attached )

Predicted number of points for spending $10 :
___

Will give Brainliest (:

Answers

Answer:

Just hit continue.

Step-by-step explanation:

The predicted amount is for the second button only.

Each dollar spent does not always earn the same number of points.

What is an expression?

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

Given that;

Customers of a certain credit card earn points for using the card.

The table shows the number of points earned for the amount spent.

Now, By the given table which shows the number of points earned for the amount spent.

⇒ Number of points in 4 dollars = 36

Hence, Number of points in 1 dollars = 36/4 = 9

⇒ Number of points in 7 dollars = 56

Hence, Number of points in 1 dollars = 56/7 = 8

⇒ Number of points in 9 dollars = 72

Hence, Number of points in 1 dollars = 72/9 = 8

Thus, We get;

⇒ Each dollar spent does not always earn the same number of points.

Learn more about the mathematical expression visit:

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What is the first step of the following division problem?

Answers

Answer:

There is no picture

Step-by-step explanation:

But... if i were to answer to any problem first thing u do is set it up with the numbers when doing long division

What is the distance between the points (2, 3) and (5, -4)?

Answers

Answer:

7.6158

Step-by-step explanation:

7.6158 is the answer I think

¿Cuál es el volumen de un prisma octagonal cuyo lado de la base es de 2 cm
, apotema de 2.41 cm
y altura de 17 cm
?

Answers

Answer:

yes

Step-by-step explanation:

yes yes yes yes yes teehee

What is the solution to the system of equations?
y= 1/3x-10
2x + y = 4

Answers

34756Step-by-step explanation:

Write an algebraic expression that models the following statement:

Four times the sum of 'x' and '7'.

Answers

Answer:

4(x+7)

or 4x+28

Step-by-step explanation:

Here you go:)

Neil bought 4 baseballs for a total of $15.25. If the baseball were the same cost, about how much did each baseball cost?
$3.00
$64.00
$4.00
$3.81

Answers

Answer: your answer is $74.81  and you are welcome

Step-by-step explanation:

$3.00 +$64.00 + $4.00 +$3.81 = $74.81

how much time will it take for the plane to land?

Answers

Answer:

Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes

will give BRAINLIEST

Find the area of each circle
. Round to the nearest tenth.

Answers

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

work out the inverse function

y=x-2

Answers

Answer:

x + 2

Step-by-step explanation:

Replace the x with y.

Making is x = y -2

Solve for x=y-2

and you get x+2

Answer:

x+2

Step-by-step explanation:

When doing inverse functions, you switch the x and y.

x = y-2

Then you solve for y (add the 2 to the other side to get "y" by itself)

y = x+2

What is the answer to this question?
will get awarded with brainliest!
(6x-7)(2x+5)

Answers

12x^2 + 16x - 35
hope it helps

A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?


PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

75

Step-by-step explanation:

The answer is 75 because you have to cross mutiply:

1       3

25     x

3 x 25 is 75

Find the slope of the line passing through the points (6, 1) and (6,-6).

Answers

Answer:

Slope = undefined

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

3(x + 3) – 2 < 4 or 1 – x ≤ –1

Answers

Answer:

eu singer nuştiu

terog scuză

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?

Thanks! :)

Answers

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

[tex]1.5c+1.2p[/tex]

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

[tex]1.5c+1.2p=1.35(c+p)[/tex]

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

[tex]c+p=20[/tex]

We now have the system of equations:

[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

[tex]c=20-p[/tex]

Let's now substitute this into the first equation:

[tex]1.5(20-p)+1.2p=1.35(20)[/tex]

Distribute:

[tex]30-1.5p+1.2p=27[/tex]

Combine like terms:

[tex]-0.3p+30=27[/tex]

Subtract 30 from both sides:

[tex]-0.3p=-3[/tex]

Divide both sides by -0.3. So, the amount of peanuts needed is:

[tex]p=10[/tex]

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:

(6th grade math)
adrian has 50$ she spent 12.45 at the movies and 10.19 at the bowling alley. how much money does she have left?

Answers

Answer:

$27.36

Step-by-step explanation:

To find how much she spent you add the costs of the movie and bowling alley: 22.64

Now you subtract that from the amount of money you had to get: 27.36

Hope this helps!

Answer:

Adrian has $27.36 left.

Step-by-step explanation:

First add up the total Adrian spent!

12.45 + 10.19 = 22.64

Now subtract that amount from $50

50.00 - 22.64 = 27.36

Therefore, Adrian has $27.36 left

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