witch numbers are domain -3 ,-2 ,-3 ,0 ,-1 ,2 ,1 ,2

Answers

Answer 1

Correct Presentation of Question

Which numbers are domain? (-3,-2) (3,0)(-1,2)(1,2)

Answer:

Domain = {-3,-3,-1,1}

Step-by-step explanation:

Given

(-3,-2) (3,0)(-1,2)(1,2)

Required

Determine which numbers are domain

A function is always represented as thus (x,y) in this format (domain, range);

Tabulate the given data

x   ||   y

-3  ||  -2

3  ||  0

-1  ||  2

1  ||  2

The values under the x column are the domain;

Hence, the domain are {-3,-3,-1,1}


Related Questions

Solve the equation 3x+16+45+68=180

Answers

Answer:

x=17

Step-by-step explanation:

3x+16+45+68=1803x+129=1803x=180-1293x=51x=51/3x=17

I hope you understood well !

Answer:

x = 17

Step-by-step explanation:

3x + 16 +45 + 68 = 180

             3x + 129 = 180

Subtract 129 form both sides

          3x + 129 -129 = 180 - 129

                           3x = 51

Divide both sides by 3

                         3x/3 = 51/3

                              x = 17

Represent 1/3 and 5/2 on the same number line. Please Draw it

Answers

Answer:

[tex]\Huge{\fbox{\red{Attachment}}}[/tex]

#Be Brainly

A.) pinky bought 1 1/2 kg of apples and 5 1/4 kg of mangoes and 1 1/2 Kg of oranges. Find the total weight of fruits B.) If her family eats 3/4 Kg of apples and 2 1/2 kg of mangoes and 1/2 Kg of oranges. Find the weight of the fruits left (Can any one say the answer please with explanation if who say the answer first I will mark them as the brainliest)

Answers

Answer:

a) The total weight of fruits is [tex]8\,\frac{1}{4}[/tex] kilograms, b) The weight of the fruits left is [tex]4\,\frac{1}{2}[/tex] kilograms.

Step-by-step explanation:

a) The total weight of fruits ([tex]m_{T}[/tex]) is calculated by the following formula:

[tex]m_{T} = m_{a} + m_{m}+m_{o}[/tex]

Where:

[tex]m_{a}[/tex] - Total weight of apples, measured in kilograms.

[tex]m_{m}[/tex] - Total weight of mangoes, measured in kilograms.

[tex]m_{o}[/tex] - Total weight of oranges, measured in kilograms.

If [tex]m_{a} = 1\,\frac{1}{2} \,kg[/tex], [tex]m_{m} = 5\,\frac{1}{4}\,kg[/tex] and [tex]m_{o} = 1\,\frac{1}{2}\,kg[/tex], then:

[tex]m_{T} = 1\,\frac{1}{2}\,kg + 5\,\frac{1}{4}\,kg + 1\,\frac{1}{2}\,kg[/tex]

[tex]m_{T} = \frac{6}{4}\,kg + \frac{21}{4}\,kg + \frac{6}{4}\,kg[/tex]

[tex]m_{T} = \frac{33}{4}\,kg[/tex]

[tex]m_{T} = 8\,\frac{1}{4}\,kg[/tex]

The total weight of fruits is [tex]8\,\frac{1}{4}[/tex] kilograms.

b) The weight eaten by her family is determined by the following expression:

[tex]m_{E} = m_{a,e} + m_{m,e} + m_{o,e}[/tex]

Where:

[tex]m_{a,e}[/tex] - Eaten weight of apples, measured in kilograms.

[tex]m_{m,e}[/tex] - Eaten weight of mangoes, measured in kilograms.

[tex]m_{o,e}[/tex] - Eaten weight of oranges, measured in kilograms.

Given that [tex]m_{a,e} = \frac{3}{4}\,kg[/tex], [tex]m_{m,e} = 2\,\frac{1}{2}\,kg[/tex] and [tex]m_{o,e} = \frac{1}{2}\,kg[/tex], the weight eaten by her family is:

[tex]m_{E} = \frac{3}{4}\,kg + 2\,\frac{1}{2}\,kg + \frac{1}{2}\,kg[/tex]

[tex]m_{E} = \frac{3}{4}\,kg + \frac{10}{4}\,kg + \frac{2}{4}\,kg[/tex]

[tex]m_{E} = \frac{15}{4}\,kg[/tex]

[tex]m_{E} = 3\,\frac{3}{4}\,kg[/tex]

The weight of the fruits left is found by subtraction:

[tex]m_{R} = m_{T}-m_{E}[/tex]

[tex]m_{R} = 8\,\frac{1}{4} \,kg -3\,\frac{3}{4}\,kg[/tex]

[tex]m_{R} = \frac{33}{4}\,kg-\frac{15}{4}\,kg[/tex]

[tex]m_{R} = \frac{18}{4}\,kg[/tex]

[tex]m_{R} = 4 \,\frac{1}{2}\,kg[/tex]

The weight of the fruits left is [tex]4\,\frac{1}{2}[/tex] kilograms.

Estimate. Then determine the area. Please please please, need help!

Answers

Estimate:

2.3 rounds down to 2

So after multiplying by 2, the area is estimated to be 4 cm squared.

Actual Area:

2.3 x 2 = 4.6

The actual area of the shape is 4.6 cm squared.

Hope this helped!

Answer:

4.6

Step-by-step explanation:

What is g(x)?
Please help

Answers

Answer:

g(x) = -x²

Step-by-step explanation:

Answer:

-x^2

Step-by-step explanation:

The parent equation of a parabola is x^2.

Because the parabola is upside down, the equation becomes negative.

PLEASE HELP!!! Jim made a table to show the length of his walking sticks.
Which walking sticks measured less than 3/5 meters? Choose 2 answers

Answers

Answer:

Stick 2: [tex] \frac{1}{2} [/tex]

Stick 3: [tex] \frac{4}{10} [/tex]

Step-by-step explanation:

To determine which of the lengths are less than ⅗ meters, you would compare each given length with ⅗ meters.

Stick 1: Comparing ⁹/10 and ⅗

Find The common denominator of both fractions. 10 is the common denominator. Multiply the numerator and denominator of ⅗ by 2 to create a fraction equivalent to ⁹/10.

Thus,

[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]

Compare the numerator of [tex] \frac{9}{10} [/tex] and [tex] \frac{6}{10} [/tex].

9 is greater than 6. This means [tex] \frac{9}{10} [/tex] > [tex] \frac{6}{10} [/tex].

Therefore, [tex] \frac{9}{10} [/tex] > [tex] \frac{3}{5} [/tex]

Stick 2: comparing ½ and ⅗

Common denominator = 10

Make both fractions equivalent to each other as follows,

[tex] \frac{1*5}{2*5} = \frac{5}{10} [/tex]

[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]

5 < 6. This means, [tex] \frac{5}{10} [/tex] < [tex] \frac{6}{10} [/tex].

Therefore, [tex] \frac{1}{2} [/tex] < [tex] \frac{3}{5} [/tex]

Stick 3: comparing ⁴/10 and ⅗

Common denominator = 10

Make the fractions equivalent as follows,

[tex] \frac{4*1}{10*1} = \frac{4}{10} [/tex]

[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]

4 < 6. This means, [tex] \frac{4}{10} [/tex] < [tex] \frac{6}{10} [/tex].

Therefore, [tex] \frac{4}{10} [/tex] < [tex] \frac{3}{5} [/tex]

Stick 4: comparing ⅘ and ⅗

Common denominator = 5

Since both denominators are already the same, both fractions are equivalent. Comparing their numerator, 4 > 3. Therefore, ⅘ > ⅗.

Find the common ratio for the geometric sequence for which [tex]a_1[/tex]=3 and [tex]a_5[/tex]=48. A. -3 B. -2 C. 3 D. 2

Answers

Answer:

An= A1 * r^n-1

A5= 3 * r^5-1

48= 3*r^4

48÷3=r^4

16=r^4

r=

[tex] \sqrt[4]{16} [/tex]

r=2

The answer is D. 2

Espero que te sirva

hsじぇいrんふぉそ具jんじょおlっっっkjか、

The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?

Answers

Answer:

Step-by-step explanation:

y = -2x - 5

perp. slope: 1/2

y + 2 = 1/2(x + 1)

y + 4/2 = 1/2x + 1/2

y = 1/2x - 3/2

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

9.6km

Step-by-step explanation:

Do 6x1.6 ÷1= 9.6km

Answer:9.6km

Step-by-step explanation: Recall BSM(big-small-multiply),so

1.6km×6

Help wanted ill do brainliest!!

Answers

Answer:

x=-1

Step-by-step explanation:

0.5 ( 5 - 7x ) = 8 - ( 4x + 6 )

- Distribute 0.5 by 5 and -7x

2.5 - 3.5x = 8 - ( 4x + 6 )

Second- Distribute the invisible one into 4x and 6

2.5 - 3.5x = 8 - 4x - 6

- Combine like terms: Subtract 6 from 8

2.5-3.5x= - 4x + 2

-Add 4x from both sides of the equation

2.5 + 0.5x = 2

-Subtract 2.5 from both sides of the equation

0.5x = 2- 2.5

0.5x = -0.5

-Then divide each side by 0.5x

0.5x  = -0.5

0.5      0.5

-Cancel the common factor of 0.5

x = - 0.5

      0.5

-Divide -0.5 by 0.5

X = -1

three people alice , ben , calvin, are conversing at a taxi stand since taxis are the only ride service in this town. although they havent met before ,they realize that all are going the same route to get desire destination. alice destination is 20 miles away , ben destination 30 miles away and calvins destination 40 miles away , the taxi costs 2 dollars per mile with tip included regardless of the number of passengers. how much should each person pay if the three share a cab to their respective destination

Answers

Answer:

Alice will have to pay $13.33

Ben will have to pay $23.33

Kelvin will have to pay $43.33

Step-by-step explanation:

Given that

Alice destination is 20 miles away

Ben destination is 30 miles away

Calvin destination is 40 miles away.

For a mile, taxi costs 2 dollars.

To find:

How much each person has to pay if they share the same taxi to their respective destinations?

Solution:

For the first 20 miles, the taxi will be shared by all 3 of them.

Charges for 20 miles = 20 [tex]\times[/tex] 2 = $40

This $40 will be shared among all 3.

Each will pay = [tex]\frac{40}{3} = \$13.33[/tex]

Charges for Alice = $13.33

Charges for Ben = $13.33

Charges for Calvin = $13.33

For the next 10 miles, the taxi will be shared by Ben and Calvin.

Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20

This $20 will be shared between Ben and Calvin.

Each will pay = [tex]\frac{20}{2} = \$10[/tex]

Charges for Alice = $13.33

Charges for Ben = $13.33 + 10 = $23.33

Charges for Calvin = $13.33 + 10 = $23.33

For the next 10 miles, Calvin travels alone.

Charges for 10 miles = 10 [tex]\times[/tex] 2 = $20

This $20 will be paid by Calvin alone.

Charges for Alice = $13.33

Charges for Ben = $23.33

Charges for Calvin = $23.33 + 20 = $43.33

Find all values of $x$ such that \[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]If you find more than one value, then list your solutions, separated by commas.

Answers

Greetings from Brasil...

2X/(X + 2) = 6/(X + 4)

2X(X + 4) = 6(X + 2)

2X² + 2X - 12 = 0     ÷2

2X²/2 + 2X/2 - 12/2 = 0/2

X² + X - 6 = 0

Δ = 25

X' = 2X'' = - 3

S = {-3, 2}

By using factorization,  [tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex] , values of x are -2, 3.

What is factorization?

Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number. These numbers are broken down into factors or divisors.

Given

[tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex]

⇒ 2x(x + 4) = 6(x + 2)

⇒ [tex]2x^{2} +8x = 6x + 12[/tex]

⇒ [tex]2x^{2} +8x-6x-12=0[/tex]

⇒ [tex]2x^{2} +2x -12=0[/tex]

Divide above equation by 2, we get

⇒ [tex]x^{2} +x -6=0[/tex]

⇒ [tex]x^{2} +2x-3x-6=0[/tex]

⇒ [tex]x(x+2)-3(x+2)=0[/tex]

⇒ [tex](x+2)(x-3)=0[/tex]

⇒ x = -2, 3

By using factorization,  [tex]\frac{2x}{x+2} =\frac{6}{x+4}[/tex] , values of x are -2, 3.

Find out more information about factorization here

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I need help one this question how do you Factor 75 - 95.

Answers

Answer:

+-(1,2,4,5,10,20)

Step-by-step explanation:

well if this is factors of -20 (bc 75-95=-20)

then it will be +-(1,2,4,5,10,20)

PLEASE HELP
You have to create 3 functions to make hills on a grap

Requirements are in the photo.
(ignore graphs)

4. Write equations for three hills that do meet the requirements. Sketch them on one axis. (For the
purposes of this exercise, this is a sketch, so the steepness and minimums and maximums of the
graphs do not need to be exact). (6 points: 1 point for each equation, 1 point for each sketched curve)

Answers

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

what is the x intercept for y=(2x(x-3))/(x-1). ?

my answer sheet says it is supposed to be -0.5​

Answers

Answer:

( 0,0) and (3,0)

Step-by-step explanation:

y=(2x(x-3))/(x-1)

Set y = 0

0 =(2x(x-3))/(x-1)

Multiply each side by x-1, which makes x not equal to 1

0 =(2x(x-3))

Using the zero product property

2x=0  x-3 =0

x=0   x= 3

The x intercepts are x=0   x= 3

( 0,0) and (3,0)


Solve the equation. Do not put "x = "in your answer, just type the number.
Ex: -8 3x - 5 = 13*

Answers

Answer:

6

Step-by-step explanation:

3x - 5 = 13

3x = 18 (Add 5 to both sides; 13 + 5 = 18)

x = 6 (Divide both sides by 3; 18 / 3 = 6)

The graph represents revenue in dollars as a function of greeting cards sold. A coordinate plane showing Greeting Card Revenue, Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. A line starts at (0. 0) and passes through (2, 8), (4, 16), and ends at (5, 20). Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Answers

Answer:

D

Step-by-step explanation:

Just did it

A function assigns the values. The equation that represents the function shown on the graph is y=4x.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given that the graph represents revenue in dollars as a function of greeting cards sold. Therefore, we can write the function as,

Revenue ∝ Number of cards sold

Since the Number of Cards Sold on the x-axis and Revenue in dollars on the y-axis. Therefore, we can write,

y ∝ x

Removing the proportionality, we will get,

y = k x

Now, substitute any point through which the graph of the function passes to get the value of k,

20 = k × 5

20/5 = k

k = 4

Thus, the function can be represented as,

y = kx

y = 4x

Hence, the equation that represents the function shown on the graph is y=4x.

Learn more about Function here:

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Factorise using suitable identities (0.1x-0.2y)^2

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

a = 0.1x

b = 0.2y

(0.1x - 0.2y)²= (0.1x)² - 2*0.1x*0.2y + (0.2y)²

                   = (0.1)²x² - 0.04xy + (0.2)²y²

                   = 0.01x² - 0.04xy + 0.04y²

Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16

Answers

Answer:

31/16

or

1 15/16

Step-by-step explanation:

1/8 = 2/16

1/4 = 4/16

1/2 = 8/16

1 = 16/16

then:

1 + 1/2 + 1/4 + 1/8 + 1/16

= 16/16 + 8/16 + 4/16 + 2/16 + 1/16

=(16+8+4+2+1)/16

= 31/16

31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16

Which of the following expressions demonstrates the distributive property?
3 + 4 + 5 = 4 + 3 + 5
-2(5 + 7) = -2(7 + 5)
O 3(-8 + 1) = 3(-8) + 3(1)
6[(7)(-2)] = [(6)(7)](-2)

Answers

Answer:

3(-8 + 1) = 3(-8) + 3(1)

Step-by-step explanation:

The distributive property is quite literally when you distribute numbers. This is the only instance of that happening here

The first two are the communitive property of addition, and the last one is the communitive property of multiplication.

Cheers.

Answer:

c

Step-by-step explanation:

Nimisha wants to draw a wheel like the one shown. Each shaded part of the wheel should be one-third of each unshaded part. What should be the degree measure of the angle formed at the center by each shaded part?

Answers

Answer:

Each shade has a 22.5 degree angle from the middle

Each unshaded has a 67.5 degree angle from the middle.

Step-by-step explanation:

You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:

x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360

Combine Like terms:

16/3x = 360

Multiply both sides by the opposite:

(3/16) (16/3x) = (360) (3/16)

x=135/2 or x=67.5

Then you can plug 67.5 in for x:

1/3x ---> 1/3(67.5) = 22.5

Based on the image below, if you know that , find the following:

a) sin A
b) cos A
c) tan A
d) tan B

Answers

Answer:

A. Sine A = 4/5

B. Cos A = 3/5

C. Tan A = 4/3

D. Tan B = 3/4

Step-by-step explanation:

We'll begin by calculating the value of b in the attached photo.

This can be obtained as follow:

Cos B = 4/5

Cos B = Adjacent /Hypothenus

Adjacent = 4

Hypothenus = 5

Using pythagoras theory, the value of b can be obtained as follow:

b² = 5² – 4²

b² = 25 – 16

b² = 9

Take the square root of both side.

b = √9

b = 3

A. Determination of Sine A

Sine A =?

Opposite = 4

Hypothenus = 5

Sine A = Opposite /Hypothenus

Sine A = 4/5

B. Determination of Cos A

Cos A =?

Adjacent = 3

Hypothenus = 5

Cos A = Adjacent /Hypothenus

Cos A = 3/5

C. Determination of Tan A.

Tan A =?

Opposite = 4

Adjacent = 3

Tan A = Opposite /Adjacent

Tan A = 4/3

D. Determination of Tan B

Tan B =?

Opposite = 3

Adjacent = 4

Tan B = Opposite /Adjacent

Tan B = 3/4

If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
A. -1, 2
B. -1/2, 5/2
C. -3/2, 3/2
D. -1/2, 1
E. -2/4

Answers

Answer:

E. -2, 4

Step-by-step explanation:

If the zeroes of a function are given as [tex]\alpha, \beta[/tex], then the function can be written as:

[tex](x-\alpha)(x-\beta) = 0[/tex]

Here, we are given that zeros of [tex]f(x)[/tex] are x=-1 and x=2.

As per above, we can write the function [tex]f(x)[/tex] as:

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

So, [tex]f(x) =(x+1) (x-2)[/tex]

To find:

Zeroes of [tex]f(\frac{x}2)[/tex].

Solution:

We have found that [tex]f(x) =(x+1) (x-2)[/tex]

Replacing [tex]x[/tex] with [tex]\frac{x}2[/tex]:

[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2)[/tex]

Now, Let us put it equal to 0 to find the zeroes.

[tex]f(\frac{x}2) =(\frac{x}2+1) (\frac{x}2-2) = 0\\\Rightarrow (\frac{x}2+1) = 0 \ OR\ (\frac{x}2-2) =0\\\Rightarrow \frac{x}{2} = -1\ OR\ \frac{x}{2}=2\\\Rightarrow \bold{x =-2, 4}[/tex]

So, the zeroes are -2, 4.

There is a regular dodecahedron with all the points connected to each other. What is the area if each of the shales formed if the distance between each Point is x?

Answers

Answer:

18581.16

Step-by-step explanation:

The area of each of the shale can be calculated as

distance between each point = x

The area of the regular Dodecahedron

A = [tex]\sqrt[3]{25+10\sqrt{5} } a^{2}[/tex]

where a = number of edges = 30

hence the area of the regular dodecaheron = 18581.16


Show how the greatest common factor of the numbers 10 and 15 can be used to reduce the fraction 10/15.

Answers

Answer:

2/3

Step-by-step explanation:

The greatest common factor is 5 because it can divide two of them. When you divide 10/15, it becomes 2/3.

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.
Answers
(A) 950 sq ft
(B) 986 sq ft
(C) 1,040 sq ft
(D) 1,068 sq ft

Answers

Answer:

Hey there!

1 gallon=400 square feet

2 3/8 gallon= 400 (2 3/8) square feet

2 3/8 gallon= 950 square feet.

Let me know if this helps :)

find the product of the first 3 positive integers and then the first 5 negative integers.

Answers

Answer:

6 and -120

Step-by-step explanation:

The first 3 positive integers are 1, 2 and 3 and their product is 6, the first 5 negative integers are -1, -2, -3, -4 and -5 and their product is -120.

Hey please help me with Math!
There’s a bicycle that runs 45km in 1 hour and 15 minutes.
1) What is the speed of this bicycle? (__km/ph)
2) How far will this bicycle get in 2 hours and 40 minutes?

Answers

Step-by-step explanation:

Hello!!!!

According to the question,

distance covered (d)= 45km.

time taken (t)= 1 hr and 15 mins.

now,

let's find answer of this question no. i).

answer :

speed (s)= distance by time taken

= 45 /1.25

so, the speed is 36 km/hr.

now, for 2nd question,

time (t)= 2hrs and 40 mins.

speed (s)= 36km / hr

now,

distance (d)= s×t

= 36×2.6666666667

= 96km....is yourrequired answer.

Hope it helps...

another question what's the formula for an open end of a cylinder??​

Answers

Answer:

Formula for an opened end of a cylinder =

[tex]\pi r^2 +2\pi rh\\[/tex]

Closed at both end =

[tex]2\pi r^2 +2\pi r h[/tex]

Opened at both end =

[tex]2\pi rh[/tex]

Step-by-step explanation:

In a local kickball league, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and the ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one random college graduate is picked, what is the probability that they hold a graduate degree

Answers

Answer:

3 / 19

Step-by-step explanation:

Given the following :

ratio of college graduates with a graduate degree to non-college graduates = 1:8

ratio of college graduates without a graduate degree to non-college graduates is 2:3

If college graduate with a degree = A

College graduate without a degree = B

Non-college graduate = C

College graduate to non college graduate = A:C

College graduate without degree to non college graduate = B:C

A:C = 1:8 - - - (1) ; B:C = 2:3 - - - (2)

Combining the two ratios :

To do so : the proportion of non college graduate should be the same in both ratios

To do this, multiply (1) by 3 and (2) by 8

A:C = 3 : 24

B:C = 16 : 24

combining both, we have :

A:B:C = 3:16:24

If one random college graduate is picked, what is the probability that they hold a graduate degree?

Total proportion of college graduate : (college graduates with degree + college graduates without degree)

A + B = (3 + 16) = 19

Proportion who hold a graduate degree = A = 3

Probability = require outcome / Total possible outcomes

Thus :

P = A / (A +B)

= 3/19

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