Theoretical probability is the probability that an event occurs when all of the outcomes of the experiment are equally likely.
Theoretical Probability

number of ways the event can occur
number of ways the event can occur P(event) = _____________________________________
total number of equally likely outcome



A bag contains 6 red marbles and 12 blue ones. You select one marble at random from the bag.

(1)What is the probability that you select a red marble? Write your answer in the simplest form

(2) What is the probability that you select a blue marble? Write your answer in the simplest form

Answers

Answer 1

1. The probability that we select a red marble is 1/3.

We found this out by taking the amount of red marbles there are and the total amount of marbles. The total amount of marbles is 18 and there are red marbles. So, it would become 6 out of 18 or 6/18. Then, we simplify 6/18 to the simplest form. The greatest common factor of both of those numbers is 6. Lastly, we divide each of them by 6 to get the simplest form.

6/18 = (6/6)/(18/6)

(6/6)/(18/6) = 1/3

So, therefore, the theoretical probability of picking a red marble is 1/3.

2. The probability that we select a blue marble is 2/3.

We can find this out by taking the amount of blue marbles there are and the total amount of marbles. We know that the total amount of marble is 18 and there are 12 blue marbles. So, we simply get the GCF (greatest common factor) and divide them by it.

Greatest Common Factor of 12 and 18 = 6

12/18 = (12/6)/(18/6)

(12/6)/(18/6) = 2/3

Thus, the theoretical probability of picking a blue marble is 2/3.


Related Questions

evaluate 8 j - k + 14 when j = 0.25 and k = 1

Answers

Answer:

15

Step-by-step explanation:

8 j - k + 14

Let j = .25 and k = 1

8(.25)  -1 +14

Multiply

2 -1 +14

Then add and subtract

1 +14

15

Answer:

The answer is 15.

Step-by-step explanation:

8j - 1 + k + 14

8(0.25) - (1) + 14

2 - 1 + 14 = 15

ANSWER ASAP! EASY! I GIVE BRAINLIEST!​

Answers

Answer:

B

Step-by-step explanation:

One intersection

Answer:

C

Step-by-step explanation:

is this right
the task: Set up and solve an equation to find the value of .
my answer :X = 360 -( 123 + 90)
X = 147

Answers

Answer:

360 = x+123+ 90

x = 147

Step-by-step explanation:

The three angles form a circle which is 360 degrees

360 = x+123+ 90

Subtract 123 and 90 from each side

360 -123 - 90 = x

147 = x

X = 360 - ( 123 + 90 )
X = 360 - 213
X = 147

Factor this polynomial completely.
x2 + 3x - 18

Answers

Answer:

[tex] \boxed{(x + 6)(x - 3)} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} + 3x - 18 \\ \\ = > {x }^{2} + (6 - 3)x - 18 \\ \\ = > {x }^{2} + 6 x - 3x - 18 \\ \\ = > x(x + 6) - 3(x + 6) \\ \\ = > (x + 6)(x - 3)[/tex]

Answer:

(X-3)(x+6)

Step-by-step explanation:

Plan A:
$ 40 fee plus $0.45 per minute
Plan B:
$70 fee plus $0.35 per minute
a)
Write an expression to represent the cost of Plan A

Answers

Answer:

A= 40+.45m

Step-by-step explanation:

A= plan a

40=$40 fee

.45m= .45 per minute

Which points lie on the line whose equation is -8x - 6y - 7 = 17? Select ALL that apply Response : (3,0) (-2,-1) (0,-4) (-9,6) (-6,4)

Answers

Answer:

(0;-4)

(-6;4)

Step-by-step explanation:

-8x - 6y - 7 = 17

-8x-6y-24=0

y=-(4x)/3-4

(3;0)

-(4*3)/3-4=8

8≠0

(-2;-1)

-(4*(-2))/3-4=-4/3

-4/3≠-1

(0;-4)

-(4*0)/3-4=-4

-4=-4

(-9;6)

-(4*(-9))/3-4=8

8≠6

(-6;4)

-(4*(-6))/3-4=4

4=4

What type of triangle, if any, can be formed with angle measures of 32, 126, and 32


-only an acute isosceles triangle

-either an acute isosceles triangle or an obtuse isosceles triangle

-no triangle

-only an obtuse isosceles triangle

Answers

Answer:

No triangle

Step-by-step explanation:

All triangles must have angles that measure up to 180 degrees. When you add 32, 32, and 126 you get 190. That means that no triangle can be formed.

I hope this helps!

help help help help plz

Answers

Answer: (5, 12, 13).

Step-by-step explanation:

Pythagorean triples are any three side lengths of a right triangle that are all whole numbers.

The most common triples are (3, 4, 5), (5, 12, 13), and (9, 40, 41).

You can test the options given in the Pythagorean theorem to see if they make the theorem correct.

25 + 64 = 100 is not correct.

9 + 16 = 36 is not correct.

25 + 144 = 169 is correct.

1 + 1 = 4 is not correct.

The correct choice is (5, 12, 13).

Answer:

[tex](5 \:, \: \: 12 \: , \: \: \: 13)[/tex]

Third answer is correct

Step-by-step explanation:

PYTHAGORAS theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Let's take one by one.

1)(5,8,10)

[tex] {5}^{2} + {8}^{2} = {10}^{2} \\ 25 + 64 = 100 \\ 89 = 100[/tex]

No,it's not correct.

2)(3,4,6)

[tex] {3}^{2} + {4}^{2} = {6}^{2} \\ 9 + 16 = 36 \\ 25 = 36 [/tex]

No, it's not correct.

3)(5,12,13)

[tex] {5}^{2} + {12}^{2} = {13}^{2} \\ 25 + 144 = 169 \\ 169 = 169[/tex]

Yes,it's correct

4)(1,1,2)

[tex] {1}^{2} + {1}^{2} = {2}^{2} \\ 1 + 1 = 4 \\ 2 = 4 [/tex]

No, it's not correct

SO, IT'S CLEAR THAT THE CORRECT ANSWER IS THE THIRD ANSWER

hope this helps

brainliest appreciated

good luck! have a nice day!

plz help me. its " joseph runs 2/3 of a mile in 8 minutes. if joseph runs at that speed, how long will it take him to run 1 mile. and show your work". PLZ HELP ME ILL GIVE U 20 POINTS.

Answers

Answer:

He runs 2/3 mile in 8 mins, he runs one mile in 12 mins

It will take Joseph 12minutes to run 1 mile

Speed is defined as the ratio of the distance covered to the time taken.

If Joseph runs 2/3 of a mile in 8 minutes, then;

[tex]\frac{2}{3} miles = 8minutes[/tex]

In order to calculate the time it will take Joseph to run 1 mile, we can write:

[tex]1mile=x[/tex]

Divide both expressions

[tex]\dfrac{\frac{2}{3} }{1} =\dfrac{8}{x} \\\dfrac{2}{3}=\dfrac{8}{x}[/tex]

Cross multiply

[tex]2x=3 \times 8\\2x=24\\x=\frac{24}{2} \\x=12minutes[/tex]

This shows that it will take Joseph 12minutes to run 1 mile.

Learn more here: https://brainly.com/question/23774048

a line with a slope of 1/2 passes through the point (2, -1) what is the Equation of the line​

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

Hope this helps!

Find the volume of the figure.
10 cm
8 cm
10 cm
14 cm
10 cm
8 cm
n. cubic centimeters​

Answers

Answer:

42^2 is your answer.

Step by step:

add the numbers together and cube it= that will equal your answer

4×[tex]10^{3}[/tex] times what number is equal 16×[tex]10^{5}[/tex]?

Answers

4000 (4x10^3) times 400 (4x10^2) is equal to 16x10^5 ( 1,600,000)

Round 4.778 to the nearest hundredth

Answers

Answer:

4.778 to the nearest hundredth is 4.78

Step-by-step explanation:

Answer: 4.78

Step-by-step explanation: Find the number in the hundredth place, 7 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

Please mark me brainliest :)

A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per liter, and the other 80 cents per liter. How much of each kind should be mixed to get 2,000 liters of the blend?

Answers

Answer:

I actually don't know I am comfused

Find the area of the shape shown below.

Answers

Answer:

25

Step-by-step explanation:

(7,5+2,5).2,5=25

Answer:

12.5

Step-by-step explanation:

The given figure is a trapezium .

Area of Trapezium ;

[tex] \boxed{\frac{a + b}{2} h}[/tex]

given ;

A = 7.5B = 2.5h = 2.5

Putting given value into formula

[tex] \frac{7.5 + 2.5}{2} \times 2.5[/tex]

[tex] \frac{10}{2} \times 2.5 \\ [/tex]

[tex]5 \times 2.5 \\ \\ \implies \boxed {\purple{12.5 - answer}}[/tex]

What is the measure of an interior
angle of a regular 16-gon?

Answers

Answer:

Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘ ???

Step-by-step explanation:

Answer:

It’s 157.5

Step-by-step explanation:

2. The lengths of two insects are given below.
Ladybug: 10 millimeters
Walking stick: 30 centimeters
What is the difference in length of these two insects in millimeters
A 70 mm
B 20 mm
C 290 mm
D 2,990 mm

Answers

The conversion rate of millimetres to centimetres is 10 = 1 (Meaning 10 millimetres will equal one centimetre).

Knowing this, we can convert the centimetres to millimetres by multiplying by 10.

30 x 10 = 300

So a walking stick is 300 millimetres long.

To find the difference, we need to subtract the larger number from the smaller one.

300 - 10 = 290

Therefore the answer is 290mm.

Hope this helps! :)

Which expressions have the same solution as –4(6)? Check all that apply.
A.–4(– 6) B.4(– 6) C.6(– 4) D.–8(2) E.12(– 2)

Answers

Answer:

B, C and E

Step-by-step explanation:

To get the expressions that have the same solution as the given expression;

first, we need to get the result of the given expression.

-4(6) = -4 * 6

-4(6) = -24

the next step is to test each of the given options.

A.

-4(-6) = -4 * -6

-4(-6) = 24

B.

4(-6) = 4 * -6

4(-6) = -24

C.

6(-4) = 6 * -4

6(-4) = -24

D.

-8(2) = -8 * 2

-8(2) = -16

E.

12(-2) = 12 * -2

12(-2) = -24

From options A through E,

option B,C and E have the same result as the expression in the question

Answer: B C E

Step-by-step explanation:

Pls pls answer this correctly and I will mark it has brainlist pls pls

Answers

Answer:

111

Step-by-step explanation:

make them into two rectangles

Answer:

63

Step-by-step explanation:

first you divide them up like that and add them up like this

5+6+5+6+8+6+8+7+5+7=63

Use the right triangle ABC. The figure is for reference only and is not drawn to scale. If AC = 16 cm and AB = 34 cm what is the length BC?

Answers

Answer:

AB = 34 and AC = 16

BC^2 = 34^2 - 16^2

BC^2 = 1,156 - 256

BC^2 = 900

BC = 30

Step-by-step explanation:

There are 500 students in a high school senior class. Of these 500 students

Answers

What is the rest of the question??

What are the zeros of the polynomial function F(x) = x3 - 5x2 - 6x?

Answers

Answer:

The zeros are {2, 3}

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  

F(x) = x^3 - 5x^2 - 6x

Factoring out x, we get:

F(x) = x(x^2 - 5x - 6)

Factoing the quadratic, we get:

F(x) = x(x - 3)(x - 2) = 0

The zeros are {2, 3}

Given the following Venn diagram, choose the correct set for .



{2, 3, 5, 6, 8, 9}
{2, 5, 6, 8}
{2, 5, 8}

Answers

Answer:

{2, 3, 5, 6, 8, 9

Step-by-step explanation:

Explain, with a test, why the two triangles in each figure are similar. Find the
unknown lengths.

Answers

Answer:

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

[tex]\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}[/tex]

[tex]\frac{AB}{AD}=\frac{AC}{AE}[/tex]

[tex]\frac{AD+BD}{AD}=\frac{AE+EC}{AE}[/tex]

[tex]\frac{3}{2}=\frac{x+1.5}{x}[/tex]

3x = 2x + 3

3x - 2x = 3

x = 3

Similarly, [tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]

[tex]\frac{3}{2}=\frac{y}{4}[/tex]

y = [tex]\frac{3\times 4}{2}[/tex]

y = 6

What am i missing? Or am i wrong?

Help.​

Answers

I don’t think you need the “i” variable in the answers.
Don’t need the i in it

what is the missing constant term in the perfect sqaure that starts with x^2 - 4x

Answers

Answer:

The expression is; x^2 – 4c + 4

Step-by-step explanation:

For the expression to be a perfect square, let us say the constant term should be assigned as ⇒ c;

This creates of following expression;

x^2 - 4x + c

In order to be a perfect square, the discriminant needs to be zero ;

( - 4 )^2 - 4 * ( 1 )c = 0 ,

16 – 4c = 0 ,

4c = 16 ,

c = 4 ,

Solution; The expression is, therefore; x^2 – 4c + 4

What is the decimal expansion of the following fraction?
1/16
___
A. 0.0625


B.1.16


C. 0.0625


D.0.16

Answers

Answer:

C

Step-by-step explanation:

just divide 1 by 16


Find the slope and y-intercept of the line
that is graphed on the coordinate grid
below.
A slope: -1; y-intercept: -1
B slope: -1; y-intercept: 1
C slope: 1; y-intercept: -1

Answers

Answer:

C

Step-by-step explanation:

The slope is 1.  Note how each time x increases by 1 unit, y also increases by 1 unit.

The y-intercept is (0, -1).

Answer C is correct.

Ms.Nichols math group earned the following grades in math for geometry: 88, 65, 60, 42 , 55, 58, 88, 90 and 85
SHOW YOUR WORK .

Answers

Answer:

What kind of answer are you looking for? The Median, the average?

Step-by-step explanation:

Answer:

70.11111111

Step-by-step explanation:

88+65+60+42+55+58+88+90+95=631

631/9=70.11111111

THE PERSON WHO PAID $7.99 WAS EITHER THE PERSON WHO HAD THE ICED TEA OR THE PERSON WHO HAD THE WATER

Answers

Answer:

Iced Tea

Step-by-step explanation:

water is not normally 7.99$ so i'm guessing Iced tea depending on the fact that it could be a large or extra large which could get to the total of 7.99$

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