You roll a​ six-sided die. Find the probability of each of the following scenarios. ​(a) Rolling a 5 or a number greater than 3. ​(b) Rolling a number less than 5 or an even number. ​(c) Rolling a 2 or an odd number

Answers

Answer 1

Answer:

Step-by-step explanation:

a.

let A= number 5

B=number >3

P(A)=1/6  {5}

P(B)=3/6  {4,5,6}

p(A∩B)=1/6   {5}

P(AUB)=P(A)+P(B)-P(A∩B)=1/6+3/6-1/6=3/6=1/2

b.

let  event C=number<5

D=even number

C=[1,2,3,4}

D={2,4,6}

C∩D={2,4}

P(C)=4/6

P(D)=3/6

P(C∩D)=2/6

P(C∪D)=P(C)+P(D)-P(C∩D)=4/6+3/6-2/6=5/6

c.

let event E=number 2

F= an odd number.

E={2}

F={1,3,5}

E∩F={}

P(E)=1/6

P(F)=3/6

P(E∩F)=0

P(E∪F)=P(E)+P(F)-P(E∩F)=1/6+3/6-0=4/6=2/3


Related Questions

NEED HELP!!
Which is a valid proportion?

Answers

Answwer is DDdDdDdDdDdD

What is the answer to this?

Answers

Answer:

C.) [tex]A=12x-20[/tex]

Step-by-step explanation:

The area formula:

[tex]A=l*w[/tex]

Insert the values:

[tex]A=4*(3x-5)[/tex]

Use the distributive property:

[tex]A=4(3x)+4(-5)\\\\A=12x-20[/tex]

:Done

I would seriously appreciate if u helped me TvT

Answers

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5+(x-2)=-8[/tex]

Let's subtract 5 from both sides:

[tex](5+(x-2))-5=(-8)-5[/tex]

The left side will cancel. Subtract on the right:

[tex]x-2=-13[/tex]

Now, add 2 to both sides:

[tex](x-2)+2=(-13)+2[/tex]

Again, the left side will cancel. Add the right:

[tex]x=-11[/tex]

And we're done!

Answer:

it should be x=5

Step-by-step explanation:

5+(x-2)= -8

3+x=8

-3    -3

answer is x=5

NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees

Answers

Answer:

y=5.44

Step-by-step explanation:

47+16y=134 subtract 47 from both sides

16y=87

y=5.44

Round 4,368 to the nearest ten.

Answers

Answer:

4370

Step-by-step explanation:

Answer:

4,370.0

Step-by-step explanation:

What is the domain of the absolute value f(x) equals -.5 |X -2|-4

Answers

Answer:

Domain: All Real Numbers or (-∞, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that any value of x can be plugged into the function.

∴ Our answer is all real numbers

I NEED HELP 11POINTS
Casey has a small business making and selling dessert baskets. She estimates that her
fixed weekly costs to bake the items is $100. She sells each dessert basket for $12.
How much would her monthly profit be for x amount of dessert baskets?

Answers

Answer:

500=2.5x+200

x=the amount of desserts.

500-200=2.5x

300=2.5x

x=120

Step-by-step explanation:

URGENT!!! Please help

Answers

Answer:

The 3rd answer i think

Step-by-step explanation:

Which of the following equations has a graph with a y-intercept of -8?
Ay=3x - 8
B. y = -8x + 3
C. 3x - 8y = -5
D. -8x + 3y = -5

Answers

the answer is a because when the 8 is by itself it menas it's the y-intercept

The equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8

To determine which of the given equations has a graph with a y-intercept of -8.

We will compare the equations with the slope-intercept form of the equation of a straight line.

The slope-intercept form of the equation of a straight line is

y = mx + c

Where m is the gradient or slope

and c is the y-intercept

For A. y =3x - 8

By comparing with y = mx + c

m = 3 and c = -8

∴ The y-intercept here is -8

For B. y = -8x + 3

By comparing with y = mx + c

m = -8 and c = 3

∴ The y-intercept here is 3

For C. 3x - 8y = -5

This can be written as

y = (3/8)x + 5/8

By comparing with y = mx + c

m = 3/8 and c = 5/8

∴ The y-intercept here is 5/8

D. -8x + 3y = -5

This can be written as

y = (8/3)x - 5/3

By comparing with y = mx + c

m = 8/3 and c = - 5/3

∴ The y-intercept here is -5/3

Hence, the equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8

Learn more here:https://brainly.com/question/1280589

It says to solve for z, but don’t know how to.
Z-7x(-2)=-6

Answers

Answer:

z = - 6 - 14x

Step-by-step explanation:

Given

z - 7x(- 2) = - 6 , that is

z + 14x = - 6 ( subtract 14x from both sides )

z = - 6 - 14x

Enter the value 15+(-29)-15-29

Answers

Answer:

-58

Step-by-step explanation:

Answer:-58

Step-by-step explanation:

(-5)+(+7)=( ____) ???

Answers

Answer: 2

Step-by-step explanation:

What is the simplified form of (2b2 – 6) + (4b + 7) – (b2 + 5b – 3)?

Answers

Answer:

b2−b+4

Step-by-step explanation:

Write the problem as a mathematical expression.

(2b2−6)+(4b+7)−(b2+5b−3)(2b2-6)+(4b+7)-(b2+5b-3)

Remove parentheses.

2b2−6+4b+7−(b2+5b−3)2b2-6+4b+7-(b2+5b-3)

Simplify each term.

2b2−6+4b+7−b2−5b+32b2-6+4b+7-b2-5b+3

Simplify by adding terms.

b2−b+4

The Answer would be: b2-b+4

What is the difference between the absolute value of -8 and the absolute value of 6?
O 2
O 8
O 14
0.16

Answers

Answer:

2

Step-by-step explanation:

Since the absolute value of -8 is 8, and the absolute value os 6 is 6, we can

do 8-6=2.

June charges $27.95 per oil change and $9.50 per tune up each week he does 40 oil changes and 15 tune ups . how much money did June make in a week?​

Answers

I think it should be $1,262.5??? If not I’m so sorry

Find each of the following using prime
factorisation
(a)
[tex] \sqrt[3]{3375} [/tex]

Answers

Answer:

15

Step-by-step explanation:

The product of the prime factors of 3375 are

3375 = 3³ × 5³, then

[tex]\sqrt[3]{3375}[/tex]

= [tex]\sqrt[3]{3^3(5^3)}[/tex]

= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]

= 3 × 5

= 15

the answer would be 15

One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

Answers

Answer:

20 seconds

Step-by-step explanation:

Alarm 1 = every 10 seconds

Alarm 2 = every 5 seconds

Alarm 3 = every 4 seconds

If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm

Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,

Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50

Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds

Therefore, they will all sound at the same time again in the next 20 seconds

Idk how to do this. Please help?

Answers

Answer:

Is that algebra??

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

1. Distance = √((√5)^2 + (-1)^2)

= √(5 + 1)

= √6.

2. √(1^1 + (-2)^2)

= √5.

3. √(4^2 + 3^2)

= √(16 + 9)

= √25

= 5.

4. √(6)^2 + (-8)^2)

= √(36 + 64)

= √100

= 10.

Today the temperature is 0 degrees Fahrenheit. The temperature rose
11 degrees Fahrenheit from yesterday's temperature.
What was yesterday's temperature?

Answers

Answer: -11 degrees Fahrenheit

Step-by-step explanation:

Which inequality is shown in the graph?

Answers

i think it’s B). y ≤ x2 − 5

hope this helps!

8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that contains 60 fruit loops, how many will probably be yellow?​

Answers

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

A boat traveled 70 miles in 5 hours.how far did the boat travel in one hour

Answers

Answer: 14 miles

Step-by-step explanation:

70/5 = 14

please help me answer this i need asap

Answers

Answer:24 xexponet 3 − 5

Step-by-step explanation:

Please help me the question is on the file ;-;

Answers

Answer:

D) 3x + 15 ≥ 300

Step-by-step explanation:

The rectangle must have a area of AT LEAST 300 square ft, or 300 or greater. Use the greater than or equal sign: ≥ 300.

Note that your are solving for the area, and that this shape is a rectangle. To get the area of the rectangle, simply multiply length and width:

(3) * (x + 5) = Area of rectangle.

Distribute the 3 to all terms:

3(x + 5) = 3x + 15 = Area of rectangle.

Put the two parts together:

3x + 15 ≥ 300.

~

Answer:

The last answer.

Step-by-step explanation:

The area of a rectangle is

Area=(width)*(length)

If we substitute the 2 given values into the formula we will get

Area= 3(x+5)

=3x+15

Since it's asking that it has to be "at least 300", it's saying that the equation has to be 300 or more.

3x+15>(less than or equal to) 300.

A rectangular trampoline has an area of 187 square feet. The length of the trampoline is
What is its width? (Include the units)
O 11 feet
O 153 feet
17 feet
160 feet

Answers

Answer:

Its 17 feet and 11 units

Step-by-step explanation:

Find the x- and y- intercepts of the linear equation y=x+5 x-intercept=? y-intercept=?

Answers

Y=5 x=-5
In x axis y =0
-x=5
X=-5
In y axis x=0
Y=5

2x+4 translation 7 units left

Answers

Answer: (-5,4)

Step-by-step explanation:

I’m not quite good at explaining but I think my answer might be right not sure

Answer:

(2x+7)+4

Step-by-step explanation:

Anytime it says number of units left is a +7.

And it goes in the parentheses or absolute

How do you figure this equation out?
4r + 7 = 35

Answers

Answer:

r = 7

Step-by-step explanation:

Step 1: Write out equation

4r + 7 = 35

Step 2: Subtract 7 on both sides

4r + 7 - 7 = 35 - 7

4r = 28

Step 3: Divide both sides by 4

4r/4 = 28/4

r = 7

Solve 4r+7=35

4r=35-7

4r=28

r=7

:)

Find the slope of the line that passes through the points (3, 2) and (-2,-2). 0-4 4/5 5/4​

Answers

Answer:

Step-by-step explanation:

Describe what shape and axis of rotation are
required to generate a: Cone, Cylinder and sphere?

Answers

A cone can be made by rotating a triangle! The triangle is a right-angled triangle, and it gets rotated around one of its two short sides. The side it rotates around is the axis of the cone.


When the two bases are exactly over each other and the axis is a right angles to the base, this is a called a 'right cylinder'. Rectangles can be rotated to make cylinders.

A sphere is created when a circle is rotated in space about one of its diameters. A sphere is the set of all points in space that are a given distance (radius) from a given point (center). The intersection of a plane through the center of a sphere is known as a great circle. figure below.
Cone can be made by spinning and sphere is a round circle spinning rotating and a cylinder is something shaped
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