Patty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.

Which choice represents the sample space, S, for this event?

S = {PQR}
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S = {PQ, PR, QR}
S = {PQ, QP, PR, RP, QR, RQ}

Answers

Answer 1

Answer:

S =  {PQ, QP, PR, RP, QR, RQ}

Step-by-step explanation:

We have 3 friends:

Patty (who we can represent with the letter P)

Quinlan (who we can represent with the letter Q)

Rashad (who we can represent with the letter R)

There are two positions, that can be represented as:

First-Second.

Where "first" refers to the student whose name is chosen first, this student will be the president.

"second" refers to the student whose name is chosen second, this student will be the vice president.

For example:

PQ

refers for the case where Patty is the president and Quinlan is the vice-president.

Notice that PQ is different than QP.

The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:

PQ, QP, PR, RP, QR, RQ

Then the sample space is:

S =  {PQ, QP, PR, RP, QR, RQ}

The correct option is the last one.

Answer 2

Answer:

D. S = {PQ, QP, PR, RP, QR, RQ}


Related Questions

what is the area of the figure below?

Answers

Answer:

D. 72 [tex]in^2[/tex]

Step-by-step explanation:

The square is 36 in2

The 2 triangles are both 18 in2.

36+18+18=72 in2

I hope this helps!

pls ❤ and give brainliest pls

Answer:

Area is 72 in²

Step-by-step explanation:

= Area of three triangles + area of square.

[tex]{ \bf{ = 3 \times ( \frac{1}{2} b \times h) + (s \times s)}}[/tex]

substitute:

[tex]{ \sf{ = ( \frac{1}{2} \times 6 \times 6) + 2( \frac{1}{2} \times 6 \times 3) + (6 \times 6)}} \\ = { \sf{18 + 18 + 36}} \\ = { \sf{ {72 \: in}^{2} }}[/tex]

What is the difference between-5and2

Answers

Answer:

7

Step-by-step explanation:

Consider the absolute value of the difference , that is

| - 5 - 2 | = | - 7 | = 7

or

| 2 - (- 5) | = | 2 + 5 | = | 7 | = 7

Answer:

7

Step-by-step explanation:

Difference is - sign so the equation is: 2- -5 which is 7. Or

think a number line, -5 is 5 spots to 0, then two more spots to 2 so 5+2=7

Find 3rd and 5th form by using nth term formula tn=a+(n-1)d when tn=a+(n-1)d when a=2 and d=3.​

Answers

Answer:

t3 = 8, t5 = 14

Step-by-step explanation:

t3 = 2 + (3-1) × 3

t3 = 2 + (2) × 3

t3 = 2 + 6

t3 = 8

t5 = 2 + (5-1) × 3

t5 = 2 + (4) × 3

t5 = 2 + 12

t5 = 14

if f(x+1)=3x+4,find f(x) and f(3).​

Answers

f(x+1)=3x+4

Let y be x+1 So x=y-1

[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]

[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]

[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto 3(3)+1[/tex]

[tex]\\ \sf\longmapsto 9+1[/tex]

[tex]\\ \sf\longmapsto 10[/tex]

Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.​

Answers

Answer:

∠ ELM = 149°

Step-by-step explanation:

∠ KLM = ∠ KLE + ∠ ELM  , substitute values

17x - 1 = 20 + 15x - 1

17x - 1 = 15x + 19 ( subtract 15x from both sides )

2x - 1 = 19 ( add 1 to both sides  )

2x = 20 ( divide both sides by 2 )

x = 10

Then

∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°

An employee is scheduled to work 40 hours per week at a base rate of $18.50 per hour. In addition to the 40 scheduled hours, the employee is asked to work 8 hours of overtime for one week due to staffing shortages. If overtime is paid at a rate of 1.5 times the base rate, how much will the employee earn for the week? (use $xxx.Xx format)

Answers

Answer:

$962.00

Step-by-step explanation:

We can start from the first sentence of the word problem and work from there.

First, the employee is working for 40 hours at $18.50 per hour. This means that for each hour, the employee is gaining $18.50 . This can be represented as $18.50 * 40 = $740 for their base pay.

Next, the employee works 8 hours of overtime at 1.5 * base pay (18.50). For each hour of overtime they work, they earn 1.5 * 18.50 = $27.75 dollars. Their earnings from overtime work for the week can be represented as

8 * 27.75 = $222

Because all the employee's hours are encompassed in overtime and base pay, we can add the two together to get

740 + 222 = $962.00 for their total pay for the week

Solve for the value of n.
n =

Answers

Answer:

136+(4n-8)=180

136+4n-8=180

4n+128=180

4n=52

n=13

Step-by-step explanation:

please mark me as brainliest

The answer is n=13 hope that helps

show the work please and thank you

Answers

Answer:

Option a, 13

if you solve it, you get 13 as the answer

³√(5x-1)=4

or, 5x-1=64

or, 5x=65

or, x=13

Which property does the following statement illustrate? (a+b)c = (b+a)c

A: associative
B: Commutative
C: Identity
D: None

Answers

I believe the answer is b I think

Five children share 24m of ribbon equally.
How much ribbon will each child get?
Write your answer as a mixed number.

Answers

Answer: 4 8/10m

Explanation:

Total Ribbon = 24m

Total children = 5

Ribbon each student gets = 24÷5

= 4.8

Now 4.8 = 48/10

4 8/10m is the mixed fraction

So each child will get 4 8/10m ribbon

Must click thanks and mark brainliest

If five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that five children share 24m of ribbon equally.

We have to find the amount of ribbon each children gets.

To find this we have to divide the length of the ribbon with the number of children.

Twenty four divided by five.

24 is the dividend and five will be the divisor

24/5

Now we have to write this in mixed fraction

[tex]4\frac{4}{5}[/tex]

Hence, if five children share 24m of ribbon equally then each children gets [tex]4\frac{4}{5}[/tex] of ribbon.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ3

which statement is true

Answers

3) an $8 delivery fee and $1.50 per litre of water

This is because the $8 is a constant baseline, then adding $1.50 times the amount of litres purchased.

Help Pls if you want!!!!

Answers

Answer:

Its 2.5 percent ladd enjoy

Step-by-step explanation:

Answer:

2 per team and 2 left

Step-by-step explanation:

10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.

4*2 = 8

10-8 = 2

SOMEONE HELP ME PLEASE

Answers

Answer:

Step-by-step on:ơ


What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2

(will mark brainliest <3)

Answers

Answer:  70 ft^2   ( choice D )

=========================================================

Work Shown:

L = 8 ft = lengthW = 3 ft = widthH = 1 ft = height

SA = surface area of the rectangular prism (aka block or box)

SA = 2*(LW + LH + WH)

SA = 2*(8*3 + 8*1 + 3*1)

SA = 2*(24 + 8 + 3)

SA = 2*(35)

SA = 70 square feet

This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.

Ian drives an electric car. He can drive 425 kilometres before he needs to stop and recharge his car. It takes 10 minutes to charge 50 kilometres. How long does Ian have to wait for his car to fully charge?

Answers

Answer:

85 minutes

Step-by-step explanation:

425/50=8.5 10 minute increments

8.5*10= 85 minutes

Please help me out with my maths I would really appreciate it ​

Answers

Answer:

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Step-by-step explanation:

Answer:

I'm not sure about the answer.

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Hope this helps you ^^

One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answers

Answer:

17.02939

Step-by-step explanation:

Please help 15 points! And brainlist! Hurry I need help right now!

Answers

Answer: quadrant 1

Step-by-step explanation:

the triangle will make 5 360° rotations and then one 180° rotation. we know this because 1980/360=5.5

Select the two values of x that are roots of this equatio 2x - 5 = - 3x ^ 2

Answers

alright I can help!

so to find the two values of x that are roots of the equation we need to put the variables all on one side so that we can set up the quadratic formula.

3x^2+2x-5=0 (the -3x^2 becomes positive when moved across the equal sign)

now we can set up the quadratic formula. the equation is x= (-b+-(sqrt of b^2 -4ac))/ 2a

so now we just plug in our variables.

x= (-2+-(sqrt of 2^2 -4×3×-5))/ 2×3

x= (-2+-8)/6

now we just seperate the equations so that we have the two roots. and then just solve!

x= (-2-8)/6 -> x= -5/3

x= (-2+8)/6 -> x=1

hope this helps! best wishes and best of luck!!

Let g(x) = f (x+1) - 2, find when g(x) = 12

I don't know how to evaluate this since I have both g(x) and an f(x).

Answers

Answer:

f(x +1 ) =14

Step-by-step explanation:

12= f(x +1) -2

f(x +1) = 12 +2

f (x+1 ) = 12

Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP

Answers

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

What is the difference of the two polynomials?

(9x2 + 8x) – (2x2 + 3x)

7x2 + 5x
7x2 + 11x
11x2 + 5x
11x2 + 11x

Answers

Answer:

The answer is 7x²+5x

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

Answer:

7x^2 + 5x

Step-by-step explanation:

(9x^2 + 8x) - (2x^2 + 3x)

Combine like terms

9x^2 - 2x^2 = 7x^2

Combine like terms

8x - 3x = 5x

Add the two terms together

7x^2 + 5x
•••••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
Thanks!

Boston wheel chair marathon how long would it take to run a 30 mile race

Answers

G all please come to mpu-xcny-did

Find the area of ABCD

Answers

Answer:

Applying Heron's Formula

[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]

[tex]s_1=7[/tex]

[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]

[tex]A_1=10.56[/tex]

Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]

[tex]s_2=11.49[/tex]

[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]

[tex]A_2=24.69[/tex]

Total Area:

[tex]10.56+24.69[/tex]

[tex]=35.25[/tex]

OAmalOHopeO

What is the measure of each intercepted arc for each inscribed angle of a regular hexagon inscribed in a circle?

Answers

Answer:

Step-by-step explanation:

The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.

In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?

Answers

Answer:

7744

Step-by-step explanation:

Let the number is in the form of aabb.

We can put it as:

aabb = 11*(100a + b) = 11*(99a + a + b)

The number is a perfect square so it must be divisible by 11.

It is divisible by 11 if (a + b) is divisible by 11..

On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.

Also, both a and b must be within (0,9) interval.

Considering the above conditions we have options:

a,b = 2,9 or 5,6 or 6,5 or 7,4

The numbers are:

2299556666557744

By testing we confirm only one of them is a perfect square:

7744

solve for each of the following equations. /2x+3/=10

Answers

Answer:

/2x+3/=10

2x+3=10 or 2x+3=-10

2x=10-3 or 2x=-10-3

2x=7 or 2x=-13

X=7÷2 or X=-13÷2

X=3.5 or X=-6.5

If the each side of equalaterial triangle is a cm. what is the area?​

Answers

Step-by-step explanation:

[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]

which one of the following has a terminating decimal expansion?
a.5/64
b.8/9
c.14/15
d.1/12​

Answers

Answer:

b. 8/9

Step-by-step explanation:

step by step explanation

Answer:

A

Step-by-step explanation:

Because if you were to out each fraction into a calculator you see that b,c, and d have a never ending decimal. The only fraction that does end in option A, therefore ur answer is option a

Help me in this one pls I give 15 pts

Answers

Answer:

I think option b i.e 7 is right but not sure

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