Five state officials are listed to the right. a. List the 10 possible samples​ (without replacement) of size 3 that can be obtained from the population of five officials. Governor ​(Upper G​) Lieutenant Governor ​(Upper L​) Secretary of State ​(Upper S​) Representative ​(Upper R​) Press Secretary ​(Upper P​) b. If a simple random sampling procedure is used to obtain a sample of three ​officials, what are the chances that it is the first sample on your list in part​ (a)? the second​ sample? the tenth​ sample? a. List all 10 possible samples​ (without replacement) of size 3. Use the letter abbreviation for each official.

Answers

Answer 1

Answer:

All possible are:

(G,L,S)

(G,L,R)

(G,L,P)

(G,S,R)

(G,S,P)

(G,R,P)

(L,S,R)

(L,S,P)

(S,R,P)

{L,R,P)

Probability of 1st/2nd/10th sample = 1/10

Step-by-step explanation:

All the possible combinations of the 3 size samples from a 5 size population have been listed without repetition.

Total Numbers of Samples = 10

To find the probability of finding the first sample from random sampling procedure,

Probability = Number of desired outcomes/ Total number of outcomes

Where Number of desired outcome is 1 and total number of outcomes is 10.

Probability = 1/10

Similarly, to find 2nd sample or 10th sample, the number of desired outcomes is same i.e 1, hecne the probability remains the same i.e 1/10

Answer 2

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

a) Given:

Population size [tex]N=5[/tex].

Sample size [tex]n=2[/tex]

Possible sample (without replacement)

[tex]\Rightarrow 5C_{2}=\frac{5!}{2!\times 3!}[/tex]

[tex]=\frac{5\times 4}{2}[/tex]

[tex]=10[/tex]

[tex]10 samples:-[/tex]

Governor, Lieutenant Governor, secretary of state, Attorney General, Press (P)

Possible samples:

(G,L), (G,S), (G,A), (G,P), (L,S), (S,A), (A,P), (L,P), (S,P), (A,L).

b) Event: [tex]E\to[/tex]choosing sample second and tenth.

[tex]E=\left\{\left ( G,S \right ),\left ( A,L \right ) \right\}\\n\left ( E \right )=2\\n(S) =10[/tex]

The Probability of that it is the first sample.

Second and tenth sample[tex]=\frac{n\left ( E \right )}{n(S)}[/tex]

                                           [tex]=\frac{2}{10}[/tex]

                                           [tex]=\frac{1}{5}[/tex]

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Related Questions

tom paid $16 for 6 audio cassettes. Which proportion can be used to find the amount of money (m) he would pay for 9 audio cassettes

Answers

Answer:

Step-by-step explanation:

From the question, Tom paid $16 for 6 audio cassettes and we are told to find the proportion to get the amount of money (m) he would pay for 9 audio cassettes. To get this, we have to know the amount of the cost of 1 audio cassette. Since Tom paid $16 for 6 audio cassettes, 1 audio cassette will cost:

= $16/6

= $2.67

1 audio cassette will cost $2.67

The amount of money spent will depend on the number of audio cassettes. Therefore,

m = $2.67 × n

m = $2.67n

where n = number of audio cassette

The amount of money he'll pay for 9 cassette will be:

m = $2.67n

m = $2.67 × 9

m = $24.03

The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c

Answers

Answer:

b y=1.5x+20

Step-by-step explanation:

JUST DID IT ON ENDGE 2021

The equation for Wild Dogs program is y = 20 + 1.5x.

What are Linear Equations in Two Variables?

The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.

Given membership program for  Wild Dogs and the Rattlers,

for Wild Dogs,

initial fee = $20

ticket price per game = $1.50

for Rattlers

initial fee = $14

ticket price per game = $2.25

linear equation for  Wild Dogs program,

Let x represent the number of games and y the total

y = 20 + 1.5x

for Rattlers

y = 14 + 2.25x

Hence the equation for  Wild Dogs program, is y = 20 + 1.5x.

Learn more about Linear Equations in Two Variables;

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What is the answer to 1 7/9 ÷ 4/5 and explain please

Answers

Answer:

2 2/9

Step-by-step explanation:

So I'm sure you've heard of KCF (Keep, flip, change). So first to make things easier, make 1 7/9 an improper fraction, which is 16/9. And you keep it that way, but you flip 4/5, which will become 5/4. The division sign will become a multiplication sign. The F in KCF was FLIP, to flip the fraction. The C was to change the operation. The K was to keep the first fraction. Anyways, you have to do numerator x numerator and denominator x denominator when multiplying fractions, so 16 x 5 is 80, and 9 x 4 is 36. 36 can go into 80 2 times, so it'll be 2 8/36. But to simplify it, both can be divided by 4, so 8 divided by 4 is 2 and 36 divided by 4 is 9

And that is how to do it.

Answer: 2 8/36 or 2 2/9 (simplified)

HOPE THIS HELPS :)))

The answer to this is 20/9 or 2 2/9

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0

Answers

Answer:

Domain of the given function is all real numbers i.e. R.

Step-by-step explanation:

It is given that the given graph is a V shaped graph.

It is crossing x - axis at [tex](-2,0)[/tex]

then y-axis at [tex](0,-2)[/tex] and

then again x - axis at [tex](2,0)[/tex].

If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at [tex](-2,0)[/tex], then intersects y axis at [tex](0,-2)[/tex]  and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at [tex](2,0)[/tex].

Please find attached graph for the same.

This graph denotes the following function:

[tex]y=f(x)=|x|-2[/tex]

Domain of a function [tex]y =f(x)[/tex] is the values of [tex]x[/tex] that can be provided to the function.

Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.

Modulus function has R as its domain.

So, the answer is:

Domain of given function is all Real Numbers, R

Answer:

A on edg. all real numbers

Step-by-step explanation:

Find the y-intercept of the following equation. Simplify your answer.

y = 4x + 4


y-intercept

Answers

Answer:

The slope is 4 and the y intercept is 4

(0,4)

Step-by-step explanation:

The equation is in the form

y = mx+b where m is the slope and b is the y intercept

y = 4x+4

The slope is 4 and the y intercept is 4

(0,4)

hanako goes to the movies with 2 friends.
They each buy a movie ticket. They will share
a large popcorn for $8. They spend a total of
$38. What is the price of 1 movie ticket?

Answers

wouldnt a movie ticket cost 10? since popcorn is 8, and there’s three people including hanako, so 10 10 10 plus the 8 from the popcorn ?

An acite triangle has sixes measuring 10 cm and 16 cm .the length of the third side is unknown .which best describes the range of the possible values for the third side of the triangle ?

Answers

Answer:

6 < x < 26

Step-by-step explanation:

let x be the third side, then

difference of 2 sides < x < sum of 2 sides , that is

16 - 10 < x < 16 + 10

6 < x < 26

Share £90 in the ratio 1:5

Answers

Answer:

the answer is

Step-by-step explanation:

if we take a and b as two pupil to share the money,then a gets

$15 and b gets $75

sum of the ratio is=6

a =1/6×$90

=$15

b=5/6×$90

=$75

y=-3x + 6
y = 9
What is the solution to the systems of equations

Answers

Answer:

-1,9

Step-by-step explanation:

You use the equal values method to combine the two equations

-3x+6=9

then subtract 6 on both sides of the equal sign

      nine minus six is 3

-3x=3

divide negative three on both sides to isolate the x value

to get....

x=-1

then plug the x value back in to find the y value

(you can plug in to one of them but I would plug into both of them just for double checking) ALWAYS CHECK YOUR WORK

3+6 is 9

9=9 check!

Answer:C -(-1,9)

Step-by-step explanation:

ANSWER THIS AND I WILL FRIEND YOU!!! What is x? 2x(3+4x) *2 -5

Answers

Answer:

Step-by-step explanation:

[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]

Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.

Answers

Answer:

36h + 75 < 1200

solve:

36h + 75 = 1200

36h = 1125

h = 1125 divided by 36 = 31.25.

Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200

factorise m²-14m+49​

Answers

Answer:

(m-7[tex])^{2}[/tex]

Step-by-step explanation:

Find the measure of arc FGH.

Answers

[tex]arc \: fgh = \: 238° \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

PLEASE HELP ME IM BAD AT GEO! URGENT

Answers

Answer:

SSS

Step-by-step explanation:

Given that the sides are equal and no angles are given

Answer:

A: SSS

Step-by-step explanation:

We already know 2 of the S's since it's given that AB is congruent to CD and BC is congruent to AD. To get the last "S" of "SSS," we know that BD and DB are congruent by the reflexive property. Knowing that these triangles are congruent using SSS, you can go on to prove what it's asking you to prove, but for this question, I'm pretty sure you just need to know to use SSS.

Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the
motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, It takes her to have $150 left to pay.
A. -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B. 18.75x - 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C. -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D. 18.75x - 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.

Answers

Answer: A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Step-by-step explanation:

Given, Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend.

Cost of scooter = $600

Weekly installment = $18.75

Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.

Let 'x' be the number of weeks .

Money she left to pay = (Cost of scooter ) - (Weekly installment) x (Number of weeks)

[tex]\Rightarrow\ 150=600-18.75x[/tex]

[tex]\Rightarrow\ 18.75x=600-150=450\\\\\Rightarrow\ x=\dfrac{450}{18.75}=\dfrac{45000}{1875}=24[/tex]

i.e. After 24 months when she has $150 left to pay for the motorized scooter.

Hence, the correct answer is :

A. -18.75x + 600 = 150

Clarissa's sister will have $150 left to pay after 24 weeks.

Answer:

B)-18.75x+600=150

Step-by-step explanation:

Got it right on my test!

When Anna bought 10 cream puffs and ice creams, at $1.50 per
cream puff and $1.20 per ice cream, the total price was $13.80.
How many cream puffs and ice creams did she buy, respectively?​

Answers

Answer:

6 cream puff and 4 ice creams

Step-by-step explanation:

i = ice cream

p = cream puff

p+i= 10

1.50p + 1.20 i = 13.80

Multiply the first equation by -1.2

-1.20p -1.20 i = -12.00

Add this to the second equation

1.50p + 1.20 i = 13.80

-1.20p -1.20 i = -12.00

----------------------------------

.3p = 1.80

Divide each side by .3

p =6

Now find i

p+i = 10

6+i= 10

i= 10-6 =4

Which statement correctly describes the slope of the linear function that is represented by the data in the table?
Х
8
8
8
8
8
у
-8
4
0
4
8
O The slope is positive.
O The slope is negative.
O The slope is zero.
O There is no slope.

Answers

there is no slope. boom

Answer:

there is no slope :)

Step-by-step explanation:

give the other person brainliest bc theyre swag

Which ordered pair makes both inequalities true? y x On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)

Answers

Answer:

  (-2, 2)

Step-by-step explanation:

Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).

Answer:

(-2,2)

Step-by-step explanation:

compare: 5/12 to 1/12 which one is greater

Answers

Answer:

5/12 is greater

Answer:

5/12 is greater than 1/12

Step-by-step explanation:

when you compare 2 fractions with the same denominator, greater is the one with bigger numerator so 5/12  

Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x-3
5 < 10x - 3
2 - 2x < 8x

Answers

Answer:

5 < 10x-3

Step-by-step explanation:

5 - 2x < 8x - 3

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5 < 10x-3

Answer:

The answer is C.

Step-by-step explanation:

Trust me, I got you.

What is the value of x?

Answers

Answer:

x =40

Step-by-step explanation:

x and 4x-20 form a straight line which means they add to 180

x+4x-20 = 180

Combine like terms

5x -20 =180

Add 20 to each side

5x = 200

Divide by 5

5x/5 = 200/5

x =40

Answer:

it just looks confusing sry

Step-by-step explanation:

but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck

What is the answer to this, I need an explanation please ASAP

Answers

Answer:

323 ft^2

Step-by-step explanation:

Separate the figure on the left into two figures, a trapezoid and a square

The area of a trapezoid is

A = 1/2 (b1+b2)h

A = 1/2 (12+15)*7

  = 1/2 (28)7

     98 ft^2

The area of a square is

A = s^2

   = 15^2

   = 225 ft^2

Add the areas together

A total = 98+225 =323 ft^2

what is the length of BC?please help!!!

Answers

Answer:

2.1

Step-by-step explanation:

using cosine theorem or substraction of two vector

b = AC = 5

c = AB = 6

a² = b² + c² - 2bc cos A

a² = 5² + 6² - 2*5*6 cos 20°

a² = 4.62

a = √4.62

a = 2.149

a ≈ 2.1

3x2 + 5x - 7 = 0 is a quadratic equation.
True
False

Answers

Answer:

True

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2. The given equation has 3x^2, meaning that it is quadratic.

Calculate the length of a cuboid whose volume= 342 cubic cm , b= cm and h=9 cm

Answers

Answer.if breadth is 1 then length is 38 cm

v= l×b×h

342=l×1×9

342=9l

l=342/9

l=38

____________________________

Breadth=1 cm

Height=9cm

Volume=342cm^3

Length=?

Now,

Volume=l*b*h

or,342=l*1*9

or,342=9l

or,l=342/9

length=38 cm

So the length is 38 cm

Hope it helps

Good luck on your assignment.

_______________________________

pls help me with my work

Answers

The answer is D 2n-11

Answer:

I think it is c because the nth term is mostly 2n and 2n - 9 would use one if the terms.

Step-by-step explanation:

£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?

Answers

Answer: Paul gets £186

Step-by-step explanation:

Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.

1/2 * 1/3 = 1/6

So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.

1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6

Now, divide 620 by 1 4/6 to find Malachy’s amount.

620/1 4/6 = 372

Now, divde 372 by 2 to get Paul’s amount.

372/2 = 186

A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the nearest hundredth. Use 3.14 to approximate pi.

Answers

Answer:

Step-by-step explanation:

Surface area of sphere = 125 sq.ft

4πr² = 125

4*3.14*r² = 125

[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]

r = 3.15 ft

Answer:

631 feet

Step-by-step explanation:

125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.

what is the volume of the cone using pi/3.14 using the numbers 2and 3

Answers

Answer:

V=π*r^(2)*h/3

Step-by-step explanation:

Someone please help :(.

Answers

Answer:

  (-9, 16)

Step-by-step explanation:

If (x, y) = (-9, 4), then (x, 4y) = (-9, 4·4) = (-9, 16).

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