A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a number less than 4.
Event B: The marble selected has an odd number.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
A
(a) Event "A and B": {
(b) Event "A or B":
(c) The complement of the event B: {}
0,0..
X

Answers

Answer 1

From set theory, A and B: {4, 6} A or B: {2, 3, 4, 5, 6, 8} B's complement is 1, 2, 7, and 8.

What are the types of set theory?

Basic set theory describes these various kinds of sets as follows: Finite set: There are only a finite number of elements. A set with an infinite number of elements. A set that is empty has no elements. A singleton set consists of just one element.

The elements that appear in both A and B at the same time are referred to as A and B.

From 1 to 8, the even numbers are 2, 4, 6, and 8.

The numbers 3, 4, 5, and 6 are in that order.

Look for the components that are the same in both sets.

A and B: {4, 6}

The union of the two sets is either A or B.

Combine the components from both sets.

A or B: {2, 3, 4, 5, 6, 8}

All the components that are absent from B make up its complement.

Except for the event elements, write all of the sample space's components.

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Related Questions

Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the triangle formed by it and the hypotenuse is 50 grades. If Priya wants to build a fence around her garden, how many meters of fence will she need?

Answers

Answer:

Perpendicular = 6 meter (Approx.)

Length of fence required = 18.81 meter

Step-by-step explanation:

Given:

One side of triangle = 5 m

Angle with side and hypotenuse = 50°

Find:

Other sides

Length of fence required

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

For 50° angle , 5 m is base

Tan 50 = Perpendicular / 5

1.1917 = Perpendicular / 5

Perpendicular = 5.9585

Perpendicular = 6 meter (Approx.)

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √6² + 5²

Hypotenuse = √36 + 25

Hypotenuse = √61

Hypotenuse = 7.81 meter (Approx.)

Length of fence required = 5 + 6 + 7.81

Length of fence required = 18.81 meter

Mo played 30 games of chess. He won 18 of these games. (b) He played 20 more games. He had then won 64% of all of his games. How many of the 20 games did he win?

Answers

Answer:

14

Step-by-step explanation:

First of all he played a total of 50 games which he won 32 of due to 64% of 50 being 32 then you subtract the 18 games he won at the start to get 32-18=14

would be amazing if you marked this as brainliest

Answer:

Total no of games played =50

percentage of the win game=64%

total no of won games =64/100×50

=32

no of games he won of the 20 =32-18

=14

so he won 14 games from 20

hope it helps

What type of angles are these???

Answers

Answer:

Alternate exterior

Step-by-step explanation:

1 and 11 are on different sides which makes them alternate and they are both on the outside

At Florida A&M University, the ratio of students from Florida to students not from Florida is about `3\ :\ 1`.



How many of its `12000` students are from Florida?

Answers

Based on the information given, the number of students from Florida will be; 9000 students.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1

The Total number of students = 12000

Fraction from Florida = 3/4

Fraction of students not from Florida = 1/4

Therefore, the students from Florida will be:

= 3/4 × 12000

= 9000

Hence, the number of students from Florida is 9000.

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6. Check whether the following numbers are perfect square or not, by expressing each as the sum of
odd numbers
a. 91
b. 196
Plz help me

Answers

I think the answer is A I hope you have a wonderful day
B. 196

Hope this helps :))

1 3/8 - 1/12 as a fraction

Answers

Answer:

31/24 or 1 7/24

Step-by-step explanation:

1 3/8 in an improper fraction is 11/8:

1 times the denominator (8)= 8, add the numerator (3), and get 11

then keep the original denominator

multiply 11/8 by 3 to get 33/24

multiply 1/12 by 2 to get 2/24

now you have the same denominator and can subtract

33/24-2/24= 31/24

Ans the question............
very urgent ​

Answers

Answer:

It's false.

Step-by-step explanation:

By breaking the middle term.

Put the root into equation, if it equals 0, then it's a root.

2x^2+3x-1=0

2(1/2)^2+3(1/2)-1=0

2(1/4)+3/2-1=0

2/4+3/2-1=0

1/2+3/2-1=0

(1+3-1*2)/2

4-2/2 = 1

1 is not equal to 0.

Graph each equation.
12. y + 3 = 2(x - 1)

Answers

Given line in point-slope form:

y + 3 = 2(x - 1)

Point-slope form is:

y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) is the point on the line

We know that to graph a line it is enough two have two points.

One of the points is (x₁, y₁) = (1, - 3).

Find one more point, when x = 3:

y + 3 = 2(3 - 1)y + 3 = 4y = 1

The point is (3, 1).

Plot and connect these two points to get the line.

Law of sines: Which measures are accurate regarding triangle JKL? Check all that apply. M∠K = 84° m∠K = 94° k ≈ 3. 7 units k ≈ 4. 6 units KL ≈ 2. 5 units KL ≈ 3. 2 units

Answers

The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.

Who defines median?

The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.

the class interval that have  median.

total is frequency is as -

∑f = 30

median class of corresponds to half of the value

∑th is the  value

i.e.  15th value.

least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.

[tex]2+8+9=19[/tex]

So, corresponds to the class interval  = [tex]20 < h\leq 30.[/tex]

Hence, median class is [tex]20 < h\leq 30.[/tex]

Since this is a grouped data we use the midpoint

The median:-

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I need help pls answer ASAP

Answers

The value of x in the triangle WXY is 19 degrees

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

The triangle XYZ and the line YZ such that lie YZ and XW are parallel lines

Using the above as a guide, we have the following:

∠ZYW = ∠XWY (alternate angles are equal)

∠XWY = 2x (Given)

So, we have

∠XWY + ∠XYW + ∠YXW = 180° (the sum of angles in a triangle)

Substitute the known values in the above equation, so, we have the following representation

2x + (3x - 5) + 90 = 180

Open the brackets and solve

5x - 5 = 90

Evaluate the like terms

5x = 95

Divide both sides by 5

x = 19°

Hence, the value of x is 19°

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Penelope wants to go on a kayak trip. She has a budget of $75. To rent a kayak, there is a fixed $35 fee and an hourly fee of $4. Write an inequality that would be used to solve for the maximum number of hours Penelope can rent the kayak on her budget.

A. 35x + 4 ≤ 75
B. 35x + 4 ≥ 75
C. 35 + 4x ≤ 75
D. 35 + 4x ≥ 75

Answers

The inequality that shows the maximum number of hours Penelope can rent is 35 + 4x ≤ 75

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

Let x represent the number of hours to rent

There is a fixed $35 fee and an hourly fee of $4. Hence:

Total cost = 4x + 35

Penelope has a budget of $75. hence:

35 + 4x ≤ 75

The inequality is 35 + 4x ≤ 75

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can someone help me with this :/

solve using the quadratic formula: x=(-b +/-sqr(b^2 - 4ac)/(2a)
2x² + x - 1 = 0


answers in (pic)



Answers

Answer:

2x² + x - 1 = 0

a= 2 b= 1 c= -1

x = [ -b +- sqr rt( b^2 -4ac) ] / 2*a

x = -1 +- sqr rt (1 - 4 *2*-1) / 4

x1 = [ -1 + (sqr rt (1 +8)) / 4

x1 = ( -1 + sqr rt (9)) / 4

x1 = (-1 + 3) / 4

x1 = .5

x2 = (-1 -3) / 4

x2 = -4 / 4

x2 = -1

And to check that answer: http://www.1728.org/quadratc.htm

Step-by-step explanation:

Ryan has 1/2 pound of chocolate. He divides it into 4 equal portions. Write the amount of chocolate, in pounds, in each portion

Answers

Answer:

1/8

Step-by-step explanation:

Ryan has 1/2 pound of chocolate

He divided into 4 portions

Therefore the amount each of them will get can be calculated as follows

1/2 ÷ 4

= 1/2 × 1/4

= 1/8

Hence each portion Is 1/8

What is parallel lines Class 7?

Answers

Parallel lines are those lines that lie in the same plane and never intersect each other. They are equidistant from each other at every point and have the same slope.

Two lines are stated to be parallel when they do not meet at any point in a plane. This means that lines which do not have a common intersection point and never cross paths with each other are parallel to each other. The symbol used for representing parallel lines is ‘||’.

Two parallel lines are represented as:

AB║CD

That is line AB is parallel to CD.

The perpendicular length between the two parallel lines is always constant.

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Find the square roots of 169. Then find 169 squared

Answers

Answer:

1. 13

2. 28561

Step-by-step explanation:

Answer:

The other guy said both but i know that the square root of 169 is 13!

Step-by-step explanation:

Brainlist?

Hope this helps!

A standard six-sided die is rolled, and P is the product of the five numbers that are visible. What is the largest number that is certain to divide P?
A. 6 B. 12 C. 24 D.14 E.720

Answers

The largest number which certain to divide P is 12. The correct option is B.

The product of all six numbers of the six-sided die is 6! = 720.

The products of numbers which can be visible are:

720 / 1, 720 / 2, …, 720 / 6.

In this case, the answer is the largest common divisor, that is:

720 / L

where L = the least common multiple of {1,2,3,4,5,6}.

So, it is clear that L = 60.

Thus, the answer is:

= 720 / L

= 720 / 6

= 12

Hence, the largest number which certain to divide P is 12, it is option B.

What is the largest number in the world?

A Googolplex is studied to be the largest number in the world. It is stated as 10^googol. The number 10^googol can also be written in the exponential format which will equal 10^10^100. When writing the number googol in normal number writing format, the probability of losing count is very high. Thus, it is more convenient to write it in the form of exponent and powers.

The number googolplex is so extremely large which is unimaginable to be expressed in number writing format. Hence, the number remains a concept as it is of no use in mathematics for basic calculations.

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need help quickly
The polygons are similar. x = ___ Write your answer as a decimal

Answers

Answer:0.23

Step-by-step explanation:

Solve each equation by taking square roots. Show your work. Simplify your answers. Do not write your answers in decimal form.

Answers

Answer:

1) n=±2[tex]\sqrt{5}[/tex]

2) a=±3[tex]\sqrt{10}[/tex]

Step-by-step explanation:

1) [tex]n^{2}[/tex] =20

✰Take the square root of both sides n=±[tex]\sqrt{20\\}[/tex]

✰ Simplify [tex]\sqrt{20\\}[/tex] to 2[tex]\sqrt{5}[/tex]

→ n=±2[tex]\sqrt{5}[/tex]  

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

2) [tex]a^{2}[/tex] =90

✰ (Same as above) Take the square root of both sides ​a=±[tex]\sqrt{90\\}[/tex]

✰ Simplify [tex]\sqrt{90}[/tex] to 3[tex]\sqrt{10}[/tex]

→ a=±3[tex]\sqrt{10}[/tex]

What is the measure of W the parallelogram shown?
32°

O A. 155°
O B. 32°
O C. 58°
O D. 148°

Answers

Answer:

148 degrees

Step-by-step explanation:

For a parallelogram, angles on the same side sum up to be 180

what this simply means is that they are supplementary

Mathematically, we have it that;

X + W = 180

W = 180 - X

W = 180 -32

W = 148 degree

The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3

Answers

The fans at the semi final is less than the fans at the final .

What is the away goal rule in FIFA?

The implementation of the away goals rule makes any goals scored away from home effectively count twice when the scores are tied, as is customary in matches with home and away legs, such as the knockout stage of the Champions League.

In the UCL, do away goals still count?

Champions League and Europa League, two of its premier club championships, starting in the 2021–22 season.

Semi final : 250*4/6+4 = 100

Final : 400*3/7+3= 120

Hence, The fans at the semi final is less than the fans at the final .

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

Answer A

Step-by-step explanation:

The coefficients of the x terms are 1, 4 and 7.  Thus, the discriminant, b^2 - 4ac, is 16 - 4(1)(7) = -12 = -3·4.  Because the discriminant is negative we know that there are two unequal, complex roots.

                               -4 ± i√3√4         -2 ±i√3

The roots are x = --------------------- =

                                       2              

This is Answer A.

-2 1/3 - (-5) = ? can someone please help me ty!

Answers

Answer: 8/3

Step-by-step explanation:

Answer: I THINK ITS THE SENCOND ONE

Step-by-step explanation:

Find the value of x.
8 20 36​

Answers

Answer:

4.4

Step-by-step explanation:

do a ratio, so 8:36 = x:20

36/8=4.5

4.5x=20

x=4.4

A magazine cover measures 28 cm by
22 cm. The title uses one-quarter of the area of
the cover. How much area is needed for the
title?

Answers

i don’t know got a message but she’s like actually i

Please help me and actually give me the answer please

Answers

Answer:

Coin flip: 29 times

Blue spinner: 15 times

Standard cube: 18 times

Step-by-step explanation:

50% chance of head/tails, 58 x 0.5 = 29 times it will probably land on heads

60 spins/4 colors = 15 times likely each color

1,3,5 are odd, out of 6 numbers on a cube, so 50% chance, 36 x 0.5 = 18 times

There are 30 markers in a bag. There is at least 1 red marker among any 12 randomly selected markers, and there is at least 1 black marker among every 20 randomly selected markers. How many red markers are in the the bag?

Answers

Answer:

at least 2 red markers are in the bag

Step-by-step explanation:

1/12=.0833333333

"" times 20 = 1.66666666

brainliest?

Answer:
the estimate is atleast 2 markers are in the bag

Step-by-step explanation:

Find the Surface Area of the figure below

Answers

Answer:

132 [tex]cm^{2}[/tex]

Step-by-step explanation:

Triangle formula is 1/2 bh (4x3/2) is 6 (4 triangles)=24

Base is 6x8=48

sides are 6x5=30 then multiply by 2 of the sides =60

add all together

True or False:
You can choose your own x-values.
True
False

Answers

The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.

the answer is true because you can make your own equations but it is a given equation then no you can’t do then it would be false.

Write the name of the polynomial that is obtained when two polynomials are divided and leaves no remainder.

Answers

Answer:

smlnsılasınız

Step-by-step explanation:

ben biyoml sou rmifn ilpuanlazı m baan

a

Four expressions are show below. Which expressions would give the same answer? Select TWO that apply?* Expression A: -2.43 + 1.57 Expression B: -2.43 -1.57 Expression C:-2.43 + (-1.57) Expression D: -2.43 - (-1.57) A and B A and C A and D Band C Band D C and D​

Answers

Answer:

A. 2.43 kg x 1000 g/1 kg

Step-by-step explanation:

i dont really know how to explain it

but yea its A

Answer:

Same as the other person, cant explain much, im a horrible explainer, even if i did explain it would be false

Step-by-step explanation:

Its A

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