Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or a 3. He rolls the
number cube one time,
What is the probability that he will roll a 2 or a 3?

Who ever answer FIRST I WILL GIVE YOU BRAINIEST ANSWER

Answers

Answer 1

Answer:

The probability that he will roll a 2 or a 3

 [tex]P((E_{1} UE_{2} ) = \frac{1}{3}[/tex]

Step-by-step explanation:

Step(i);-

Dimas is playing a game that uses a number cube.

The sides of the cube are labelled from 1 to 6

The total number of Exhaustive cases

n(S) = {1,2,3,4,5,6} = 6

Step(ii):-

Let E₁ be the event of roll a '2'

n(E₁) = 1

The probability that Dimas wants to roll a '2'

[tex]P(E_{1} ) = \frac{n(E_{1} )}{n(S)} = \frac{1}{6}[/tex]

Let E₂ be the event of roll a '3'

n(E₂) = 1

The probability that Dimas wants to roll a '3'

[tex]P(E_{2} ) = \frac{n(E_{2} )}{n(S)} = \frac{1}{6}[/tex]

But E₁ and E₂ are mutually exclusive events

P(E₁∩E₂) = 0

Step(iii):-

The probability that he will roll a 2 or a 3

we have  P((E₁UE₂) = P(E₁)+P(E₂)

                               = [tex]= \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]

            [tex]P((E_{1} UE_{2} ) = \frac{1}{3}[/tex]


Related Questions

-3.25 (5 continues forever) ○ -3.2 (2 continues forever) Greater than or less than​

Answers

Answer:

Less than.    <

Step-by-step explanation:

X(x+1)=1 it’s quadratic equations

Answers

x=1 i need 20 characters x=1
x2+x=1
x2+x-1=0
then do the quadratic formula
u will get
X= 1.6180.... or X= -0.618033.


Substitution:
2x - y = 6
x + y = -3

Answers

Answer:

4 and for x+y is 2+1

Step-by-step explanation:

Find the slope of (-2, 5) & (2, 13)

HELPPPOO

Answers

Answer:

The slope is 2.

Step-by-step explanation:

DIVIDE 13-5/2+2

That gives you 8/4 which equals 2.

There are 18 plates in 1 stack. How many plates are in 20 stacks​

Answers

Answer:

is there any info missing?

Answer:

360 plates

Step-by-step explanation:

if there are 18 plates in 1 stake your times 20 bye 18

18

20

000

360

The sketch of this crayon represents an irregular polygon. Find the area of the figure. 21.75 cm²
75 cm²
37.5 cm²
40.5 cm²​

Answers

The total area of the sketch will be 40.5 cm².

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, The sketch of this crayon represents an irregular polygon.

Dimension of the polygon are given in the figure,

To calculate the area of the given figure first we need to break this into two parts:

The first one will be rectangular form with a length of 12.5 cm and a width of 3 cm

The second one will be in triangular form with a height of 2 cm and a base of 3 cm.

Area of rectangle = length * width

in our case,

Area of rectangle = 12.5*3

Area of rectangle = 37.5 square cm

Area of triangle = 1/2 base *height

In our case,

Area of triangle = 1/2* 3 * 2

Area of triangle = 3 square cm

So,

The total area of the sketch = area of rectangle +area of the triangle

The total area of the sketch = 37.5 + 3

The total area of the sketch = 40.5 Square cm

Therefore, the total area of the sketch will be 40.5 cm².

Learn more about Area here:

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What is the measure of Angle M R N?

Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.
16 degrees
19 degrees
71 degrees
87 degrees

Answers

Answer:

A:16

Step-by-step explanation:

hope this helps you i am taking the test now LOL

plz mark me brainlist i think its called

Answer:

Its 16

Step-by-step explanation:

Because 180 - 109 is 71, and 71 plus 90 is 164, and 180 - 164 is 16 therefore that is your missing angle.

n is an integer such that 3n + 4 < 19 and
10n/n+ 16 > 1
Find all the possible values of n.

Answers

Answer:

Step-by-step explanation:

3n+4<19

3n<19-4

3n<15

n<5

[tex]\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n<0,n<0\\and ~n+16 <0\\n<-16\\again\\10n<n+16\\9n<16\\n<\frac{16}{9} \\combining\\n<-16[/tex]

combining

(-∞,-16)U(16/9,5)

Answer:

n = 3,4,5

Step-by-step explanation:

3n + 4 < 19

3n ≤ 15

n ≤ 5

10n/n+16 > 1

10n > n²+16

-n²+10n-16

(-n+2)(n-8)

n = 2 or n = 8

2 < n < 8

So 2<n≤5 = 3,4,5

Pls Help!! will give 15 points
solve for x

7(8-x) = 210

Answers

Answer:

x=266

Step-by-step explanation:

I'm sure if this is correct but this is how I did it seven times eight is 56 and you have to subtract that number by x so x would have to be bigger so it would be 56 minus 266

will give you 210

Answer:

x=-22

Step-by-step explanation:

7(8-x)=210

you would use the distributive property

56-7x=210

then subtract both sides by 56

-7x=154

then divide both sides by -7

x=-22

Add 12+35

1.) 2

2.) 1 110

3.) 25

4.) 47

Answers

Easy it’s 4.) because I know

Man what the hell is ghis

Answers

Answer:

Bro this is how I understood it

Step-by-step explanation:

11/12-2/3=1/4

1 5/8-1 4/7=3/56

By:nick

Yo sorry am on my gbf account and I have this app on my phone tht could help out but sense I am on hers I don’t understand tht type of math no more long time sense I saw them number’s ..

2765 x 5991 +2231 help

Answers

Answer:

16,567,346

Step-by-step explanation:

Answer:

16,567,346

Step-by-step explanation:

the first thing you do is:

2765 x 5991 = 16,565,11516,565,115 + 2231 = 16,567,346

So your answer is 16,567,346

hope this helps

anyone know the answer to x^2 - 11x + 18 = 0

Answers

Answer:

x= 9, x= 2

Step-by-step explanation:

x^2- 2x- 9x+ 18= 0

x (x-2) -9 (x-2)

(x-9) (x-2)

x-9= 0, x-2= 0

Therefore, x= 9, x= 2

If you don't mind, plz mark me brainliest

Two solutions are found
1. x=9
2. x=2

A(n+1)=A(n)+4 for n21 and A(1)=-6*
Helllllp

Answers

9514 1404 393

Answer:

  74

Step-by-step explanation:

The recursive definition is for an arithmetic sequence with a first term of -6 and a common difference of 4.

The general term of such a sequence is ...

  a(n) = a(1) +d(n -1)

This sequence is ...

  a(n) = -6 +4(n -1) = 4n -10

Then for n = 21, the term is ...

  a(21) = 4(21) -10 = 84 -10

  a(21) = 74

PLEASE HELP ME SOLVE THIS
2x-11>3

Answers

Answer:

The answer is x>7

Step-by-step explanation:

Answer:

x > 7

Step-by-step explanation:

Isolate x:

2x - 11 > 3

2x > 14

Divide each side by 2:

x > 7

So, the answer is x > 7

3/5 is simplest form yes or no

Answers

Answer:

Yes

Step-by-step explanation:

3 and 5 don't got a GCF

Pls help my semester end today and I have ds

Answers

Answer:

4.125 I believe.

Step-by-step explanation:

math i need help with

Answers

D. 15/24
5 x 3 = 15
8 x 3 = 24

Select the three expressions that are equivalent to each other

Answers

Answer:

The first one, third One, and the fifth One

Step-by-step explanation:

Find the angle of this sector.
6 cm
NEED ASAP
5 cm

Answers

Answer:

x ≈ 68.8°

Step-by-step explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex]  = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

Hopefully someone can help me with this question

Answers

This is kinda hard for me sorry, at least I get points


The measure of angle is
_________ degrees.

Answers

Answer:

65 degrees

Step-by-step explanation:

Triangle = 180 degrees

Straight line = 180 degrees

180 - 145 = 35

35 + 80 = 115

180 - 115 = 65 degrees

Unit 8 homework 2 special right triangles

Answers

Answer:

bro I cant see can you zoom in more im sorry j would answer if I could see

The junior class sold 120 turkey dinner plates and 200 chicken dinner plates for a total of $2,150. The senior class sold 100 turkey plates and 300 chicken plates, raising $2,625. What was the cost of each turkey dinner plate? What is the cost of each chicken plate?

Answers

Answer:

Write the system of equations with 2 unknowns x and y denoting the prices of two types of chickens:

(1) 120x + 200y = 2150

(2) 100x + 300y = 2625

Solving the system of equations above we have 2 solutions:

x = 15/2 = $ 7.5 and y = 25/4 = $ 6.25

Step-by-step explanation:

A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing?

Answers

Answer:

7.5

Step-by-step explanation:

Suppose a city with a population of 200,000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 21 years. Round to the nearest whole number as needed (1 point)​

Answers

Answer:

Growing at a rate of 3% per year : 200,000 x 3% =  6,000 population/ year

The population of this city in 21 years : 200,000 + ( 6,000 x 21 ) = 326,000 p

Step-by-step explanation:

The population of the city after 21 years is given by the exponential equation A = 372,059

What is exponential growth factor?

The exponential growth rate is the value which increases exponentially over a period of time and

x ( t ) = x₀ ( 1 + r )ⁿ

x ( t ) is the growth at time t

x₀ is the initial value growth at time t = 0.

r is the growth rate expressed as percentage when r > 0

And , the decay rate when r < 0 , in percentage

t is the time in discrete intervals and selected time units

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Let the initial population of the city be x₀ = 200,000

Now , let the number of years be n = 21 years

Let the percentage of increase be r = 3 %

And , exponential growth formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( 21 ) = 200,000 ( 1 + 0.03 )²¹

On simplifying the equation , we get

x ( 21 ) = 200,00 ( 1.03 )²¹

x ( 21 ) = 200,000 ( 1.86029457 )

On further simplification , we get

x ( 21 ) = 3,72,058.914

On rounding the population , we get

x ( 21 ) = 372,059

Therefore , the value of A is 372,059

Hence , the exponential growth of the population after 21 years is 372,059

To learn more about exponential growth factor click :

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I need help.?.?.?.?>

Answers

Answer:

Yes, this sample is valid.

Step-by-step explanation:

This sample is valid  because it surveys a random sample of the 750 students.  

Let me know if this helps!

Arletta built a cardboard ramp for her little brother's toy cars.Identify the shade of the ramp.Then find its volume.

Answers

Answed equally 14=5173=*71792 divided by 1572936219§

Step-by-step explanation:

Simplify The Expression

2y - y + 4 + y
y=3​

Answers

-0.5

Step-by-step explanation:

um bc it is the answer

Please help with a lot of points

Answers

Step-by-step explanation:

the answer would be 6 meters

btw the origin is known as (0,0)

hope this helps bro<33

It would be 6 meters - just follow the 5 seconds up and it shows the line going to 6 meters
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