the rules of probability can be used to predict the flip of a coin, the drawing of a card from a deck, or the role of a pair of dice

Answers

Answer 1

Probability is a mathematical concept that allows us to quantify the likelihood of different outcomes in uncertain situations. The rules of probability can indeed be used to predict the outcomes of events such as coin flips, card drawings from a deck, or dice rolls.

Probability is a mathematical concept that allows us to quantify the likelihood of different outcomes in uncertain situations. It provides a framework for understanding and predicting the occurrence of events based on their underlying probabilities.

When it comes to coin flips,

the probability of getting heads or tails is 1/2 or 0.5,

assuming a fair coin. By applying the rules of probability, we can make predictions about the likelihood of obtaining a specific outcome.

Similarly, in the case of card drawings from a well-shuffled deck, the probability of drawing a particular card depends on the number of favorable outcomes (e.g., the number of aces) divided by the total number of possible outcomes (e.g., the total number of cards in the deck).

For the roll of a pair of dice, the probability of getting a specific combination (e.g., rolling a sum of 7) can be determined by counting the favorable outcomes and dividing them by the total number of possible outcomes.

In all these cases, the rules of probability provide a systematic way to analyze and make predictions about the likelihood of specific outcomes based on the underlying probabilities of the events involved.

Learn more about Probability here:

https://brainly.com/question/31828911

#SPJ11

Related Questions

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}. Find the probability of getting two numbers whose sum is greater than 9. Group of answer choices 6

Answers

The probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].

What is probability?Probability is a measure of the possibility that an event will occur in a Random Experiment. Probability is expressed as a number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty. The higher the likelihood of an occurrence, the more probable it will occur.

To find the probability of getting two numbers whose sum is greater than 9:

The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Set of numbers greater than 9:

{(5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}

Formula:

Favorable event / Total number of events = [tex]\frac{5}{36}[/tex]

Therefore, the probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

The science teacher has to write report cards for all her students. It takes 1/8 of an hour to complete one report card. How many report cards can the teacher complete in 14 hours?

Answers

Answer:

112

Step-by-step explanation:

If she takes 1/8 of an hour to complete one then she can finish 8 in 1 hour.

8 x 14 = 112

Define the domain and range of each function. GRAPH IS BELOW :)

Domain:
Range:

FIRST PERSON TO ANSWER GETS BRAINLIEST OR 5 STARS!

Answers

Answer:

Domain: ( Positive infinity, Negative Infinity)

Range: (-3, Positive Infinity )

Step-by-step explanation:

State if the three side lengths 3 mi, 12 mi, 13 mi?

Answers

Since the sum of any two sides is greater than the third, hence the three sides for the sides of a triangle

What is a triangle?

A triangle is a 2-D shape with 3sides and angles. According to the question, we are to determine whether the given measures form sides of a triangle.

For the following measure to form the sides of a triangle, the sum of any two sides must be equal to the third as shown:

3 + 12 = 15 > 13

3 + 13 = 16 > 12

13 + 12 = 25 > 3

Since the sum of any two sides is greater than the third, hence the three sides for the sides of a triangle

Learn more triangle here: https://brainly.com/question/2217700

#SPJ1

The radius of a circle is 58 centimeters. enter the circumference of the circle

Answers

Answer:

C = 364.24

Step-by-step explanation:

Comment

The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r

Givens

pi = 3.14

r = 58 cm

Circumference = ?

Formula

C = 2*pi * r

C = 2 * 3.14 * 58

C = 364.24

A box contains colored jelly beans. There are 14 red, 6 yellow, and x blue jelly beans in the bag. If the probability of drawing a yellow jelly beans is 1/4, what is the value of x?

Answers

Answer:

Step-by-step explanation:

If the probability of drawing a yellow jelly beans is 1/4, the box is has 1/4 yellow jellybeans.

1/4b=6

b=24

14+6+x=24

20+x=24

x=4

Answer:

36 blue jelly beans

Step-by-step explanation:

We can find the total number of jelly beans by adding all red, yellow, and blue jelly beans together.

14+6+x

This simplifies to 20+x

For probability, it is (the number of things you want)/(the total number of things there are).

If the probably of drawing a yellow jelly bean is 1/4, we can set up this equation:

[tex]\frac{14}{20+x}=\frac{1}{4}[/tex]

We can cross multiply:

[tex]20+x=14(4)\\x+20+56\\x=36[/tex]

There are 36 blue jelly beans.

First consider the system of equations y = -1/2 x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x+1 and y < x-5. When comparing the number of solutions in each of these systems, which statement is true?
Both systems have an infinite number of solutions.
The system of equations has more solutions.
The system of inequalities has more solutions.
Both systems have only one solution.

Answers

we conclude that the system of inequalities has more solutions than the system of equations.

What can we conclude about the two given systems?

We have the system of equations:

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

y = x - 5

And the system of inequalities:

y > (-1/2)*x + 1

y < x - 5

First, if you look at the first system you can see that we have two non-parallel lines, so that system has only one solution.

Now let's look at the system of inequalities, we can get solutions like:

x = 10

y = 1

1 > (-1/2)*10 + 1 = -4

1 < 10 - 5 = 5

So both inequalities are true, which means that the point (10, 1) is a solution.

And also is the point (11, 1), and (12, 1), and infinite other points.

Then we conclude that the system of inequalities has more solutions than the system of equations.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Fair coin say you flip a coin 10 times. It comes up tails 8 times and heads twice. Is this a fair coin?

Answers

Yes this is a fair coin because it could have landed on either sides 8\10+6

can someone helpp cuz this is confusing me

Answers

Answer:

4. b) an angle

5. b) the angles of a triangle

6. b) opposite, hypotenuse and adjacent

Step-by-step explanation:

4. To find sine, cosine, tangent, you use the sin, cos, tan key of the calculator.

If you are given the value of the sin, cos, tan, and you are looking for the angle, then you use the second function of the calculator.

Answer: b) angle

5. angles of a triangle

6. The sides that form the right angle are the legs. In trig, there is an angle of interest, so to distinguish between the legs, one leg is called the adjacent leg, and the other leg is called the opposite leg. The side opposite the right angle is the hypotenuse.

Answer: opposite, hypotenuse and adjacent

Identify the function with a period of 4 and an amplitude of 2.

Answers

Answer:

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

Arrange the tiles on both boards to find the value of x.
Board sum: 3x + (-5) = 1
What x value solves the equation?
3x - 5 = 1
X =

Answers

Answer:

3x-5=1

3x=5+1

3x=6

x=6/3

x=2

Find the distance between the points C(−6, 5) and D(−3, 1).

Answers

Answer:

5 units

Step-by-step explanation:

Given the following question:

To find the answer to this question we will use the formula to calculate distance.

(6, 5) = (x1, y1)
(-3, 1) = (x2, y2)

[tex]d=\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
[tex]d=\sqrt{(-6-(-3))^2+(5-1)^2}[/tex]
[tex]-6+3=-3[/tex]
[tex]5-1=4[/tex]
[tex]d=\sqrt{(-3^2+4^2)}[/tex]
[tex]-3^2=-3\times-3=9[/tex]
[tex]4^4=4\times4=16[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]9+16=25[/tex]
[tex]\sqrt{25}[/tex]
[tex]\sqrt{25} =5\times5=25[/tex]
[tex]=5[/tex]

Which means the distance between the two points is "5 units."

Hope this helps.

Find a linear inequality with the following solution set. Each grid line represents one unit.

Give your answer in "standard form" ax+by+c>0 or ax+by+c\geq0 where a, b, and c are integers with no common factor greater than 1.)

Answers

The linear inequality in standard form is: x + y < -2 or x + y + 2 < 0

How to Write a Linear Inequality?

To determine what sign to use, follow these rules:

Use "<" or ">" when the boundary line is dotted or dashed.Use "<" or "≤" when the shaded area is under the boundary line (dotted or dashed).Use "≤" or "≥" when the boundary line is not dotted or dashed.Use ">" or "≥" when the shaded area is above the boundary line (dotted or dashed).

The graph given has the following features:

It has a boundary line that is dotted/dashed.It has a shaded area that is under the boundary line.Thus, the inequality sign we would use is, "<".

Find the slope:

Slope (m)= rise/run = -(2 units) / (2 units).

Slope (m) = -1.

The y-intercept (b) = -2.

Substitute m = -1 and b = -2 into y < mx + b:

y < (-1)x + (-2)

y < -x - 2

Rewrite

x + y < -2

x + y + 2 < 0

Learn more about inequality on:

https://brainly.com/question/11234618

#SPJ1

If a client is exercising for 150 minutes per week (30 minutes, 5 days per week), then a 10% increase in volume would result in how many minutes total per week

Answers

It takes 165 minutes per week if 10% increase in volume for an exercising client.

How much is the 10% increase in the volume?

A client is exercising for 150 minutes per week. I.e., 30 minutes, 5 days per week.

So, 10% increase results,

30 minutes × 10% = 3

So, the increased minutes per day = 30 + 3 = 33 minutes/day.

How many minutes total per week results if a 10% increase in the volume?

After the 10% increase, the minutes per day = 33 minutes

Since 5 days a week, he does exercise, the total minutes per week

= 33 × 5 = 165 minutes.

So, a 10% increase in volume would result in 165 minutes total per week.

Learn more about calculating the percentage increase of a number here:

https://brainly.com/question/20796661

#SPJ1

2^4n × 2^ 2n = 512
What is the value of n.

Answers

Step-by-step explanation:

[tex] {2}^{4n} \times {2}^{2n} = 512[/tex]

[tex] {2}^{4n} \times {2}^{2n} = {2}^{9} [/tex]

[tex] {2}^{4n + 2n} = {2}^{9} [/tex]

[tex]6n = 9[/tex]

[tex]n = \frac{3}{2} [/tex]

n would equal to 3/2

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

A 2-column table with 4 rows. The first column is labeled age range with entries 25 to 29, 30 to 34, 35 to 39, 40 to 45. The second column is labeled number of sick patients with entries 3, 6, 5, 4.
Which dot plot could represent the same data as the frequency table?

Answers

The dot plot that could represent the same data as the frequency table is the second plot. This is further explained below.

What is dot plot?

Generally, Data points are represented as dots on a graph with an x- and y-axis in a dot plot sometimes referred to as a strip plot or dot chart, which is a straightforward kind of data visualization.

The frequency table displays the number of ill patients in each age group. The first two plots are incorrect because the sum of the dots connecting the numbers 24, 25, 26, 27, 28, and 29 in the first two plots is 3, but not in the other two plots.

In conclusion, there are only 4 ill individuals when the dots from the 30-34 age range on the first plot are added together. There are a total of 6 cases in that age group on the second graph. As a result, the second dot plot is the one that matches the frequency table.

Answers

3a) The coordinate of R after dilation is; R' = (-6, 21)

3b) The coordinate of T after dilation is; T' = (1, 3)

5) A dilation by a scale factor of 2 followed by a translation right 1 up 3.

How to carry out dilation in Transformation?

3a) We are given the coordinates of the rectangle as;

Q(-2, -1), R(-2, 7), S(4, 7), T(4, -1)

Now, we are told that R(-2, 7) is dilated about the origin with a scale factor of 3. Thus;

R' = (-2 *3), (3 * 7)

R' = (-6, 21)

3b) We are now told that T(4, -1) is dilated by a scale factor of 1/2 with R as center of origin. R has a coordinate of (-2, 7). Thus;

Coordinate of T' = (-2, 7) + ¹/₂((4, -1) - (-2, 7))

Coordinate of T' = (-2, 7) + ¹/₂(6, -8)

Coordinate of T' = (-2, 7) + (3, -4)

Coordinate of T' = (1, 3)

5) We can see that LN is 2 units while L'N' is 4 units and so we can say scale factor in the transformation of ΔLMN to ΔL'M'N' is 2.

Now, if we apply scale factor of 2 to coordinates of N before transformation, we will have; 2(3, 1) = (6, 2)

Comparing to N' which is (5, 5) we can say that it was shifted up by 3 units and right by 1 unit.

Read more about Dilation at; https://brainly.com/question/26261650

#SPJ1

write each as the sum of two terms in the form t_n,r. t_5,3 , t_11,2 , t_15,13

Answers

The sum of two terms are:

t₅, ₃ = 8t₁₁, ₂ = 13 t₁₅,₁₃ = 28.

What is the sum about?

The sum of two numbers is one that tells you to find the sum of two or more numbers, and as such, you have to add the numbers altogether.

t₅, ₃ = 5 + 3

= 8

t₁₁, ₂ = 11 + 2

= 13

t₁₅,₁₃ = 15 + 13

= 28.

Hence the correct sum of two terms are:

t₅, ₃ = 8t₁₁, ₂ = 13 t₁₅,₁₃ = 28.

Learn more about sum from

https://brainly.com/question/17695139

#SPJ1

The shallowest section of an underground tunnel is -50 feet. The deepest section of the tunnel is -135 feet. How many feet below the shallowest section is the deepest section?
A. -95 feet
B. -185 feet
C. 85 feet
D. 195 feet

Answers

Answer:

Step-by-step explanation:

1) eliminate the negative answers since we need the amount of feet below a section and a negative number below a section doesn't make sense in this context and would result in a distance higher than the shallowest section.

Just find the absolute value or the difference between 135 and 50 resulting in 85

A rectangle’s area is 18 m2 it perimeter is 18 m one side is

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

3. Which of the following is equivalent to (10a³b³) (5a³b²)?

Answers

Answer:

50a^6b^5

Step-by-step explanation:

I don't see answer choices, but this is the simplified version. To do this, multiply 10*5, a^3 * a^3 (which adds the exponents), and then b^3*b^2.

In gym class, the students are going to design and build obstacles for an upcoming field day. Before they can start building, each student has to submit a two-dimensional scale drawing of the obstacle they want to build. Barbara's drawing of her obstacle is shown below.

Note: Figure not drawn to scale.

In Barbara's drawing, the obstacle has a total area of______ square feet.

This obstacle will have a width of 4 feet. The volume of the obstacle is____cubic feet.

Answers

The obstacle has a total area of 69 square feet and a volume of 276 cubic feet.

The total area of the obstacle

To determine the total area, we calculate and add up the area of each shape.

The shapes in the figure are:

Triangle: Base = 1, Height = 6Triangle: Base = 5, Height = 8Square: Length = 2Rectangle: Length = 7; Width = 6

Using the area formula of each shape, the total area is:

Total = 0.5 * 1 * 6 + 0.5 * 5 * 8 + 2 * 2 + 7 * 6

Evaluate

Total = 69

Hence, the obstacle has a total area of 69 square feet.

The volume of the obstacle

This is calculated as:

Volume = Base area * Height

The height is 4.

So, we have:

Volume = 69 * 4

Evaluate

Volume = 276

Hence, the obstacle has a volume of 276 cubic feet.

Answers

The data should be displayed using a line graph, as shown in the attached figure.

Definition of a Line Graph

In a line graph, also known as a line plot or a line chart, each data point is connected by its own line. A line graph displays numerical values across a chosen time span.

Why is a line graph the best choice in this situation?

A line graph would be the best option for showing the data for David's family's grocery spending over the previous 10 weeks because it would show us the trend in the data. This graph tells us of how we can recognize instances where there were significant expenses by analyzing the trend from the line graph.

Learn more about a line graph here:

https://brainly.com/question/16321364

#SPJ1

Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other
equivalent forms. Explain how each form was created. (10 points)

Answers

The polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2

How to create the polynomial?

The GCF is given as:

GCF = 5z

This means that the polynomial can be represented as:

P(z) = GCF * Another factor

We can make use of the following function

P(z) = 5z * (z - 1)

Expand

P(z) = 5z^2 - 5z

Rewrite as:

P(z) = -5z + 5z^2

Hence, the polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2

Answers

The probability of matching six numbers is [tex]\frac{1}{47C_{6}}[/tex].

How to find the probability of matching six numbers?

To find the probability, we have to divide the favorable events by the total number of events.

The total number of events is given by:

[tex]47C_{6}[/tex]

We use combinations since the order doesn't matter.

The total number of favorable events is given by:

[tex]6C_{6}[/tex]

The probability is given by:

[tex]\frac{\text{Favorable events}}{\text{Total events}}=\frac{6C_{6}}{47C_{6}} \\= \frac{1}{47C_{6}}[/tex]

We have found the probability of matching all six balls to be [tex]\frac{1}{47C_{6}}[/tex].

Therefore, we have found that the probability of matching six numbers is [tex]\frac{1}{47C_{6}}[/tex].

Learn more about probability here: https://brainly.com/question/24756209

#SPJ4

Disclaimer: The question was incomplete, the complete question is attached below.

Question: In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probability of matching six numbers.

_____ is a quantitative statistical analysis that compares and combines the results of individual but similar studies.

Answers

"Meta Analysis" is a quantitative statistical analysis that compares and combines the results of individual but similar studies.

What is meta analysis?

A quantitative statistical analysis of numerous distinct but related experiments or research to assess the statistical significance of the pooled results.

Some characteristics of meta analysis are-

The statistical method for merging data from various studies is called meta-analysis. Meta-analysis can be used to pinpoint this common impact when the treatment effect (or effect size) is constant from one trial to the next. Meta-analysis can be performed to determine the cause of variance in the effect when it differs between studies.Regulatory agencies occasionally demand a meta-analysis as part of the approval process, which pharmaceutical companies employ to obtain clearance for new medications. Meta-analysis is used by clinicians and applied researchers in a variety of sectors, including medicine, education, psychology, criminal justice, and many more, to identify which therapies are most effective.

To know more about Meta-analysis, here

https://brainly.com/question/14723190

#SPJ4

help quick, it's based on polynomials .
Find the area of the shape

Answers

Answer:

Step-by-step explanation:

I got you first you want to get some little ceasers

a colony of bacteria grows by 5% every hour. how long does it take for the colony to double in size

Answers

Answer:

20 hrs

Step-by-step explanation:

growth per hour=5%

no of hrs to double=100/5=20

(it may be wrong)<3

In a(n) _____________ design, two or more treatments are alternated relatively quickly on a regular schedule.

Answers

In a(n) reversal design, two or more treatments are alternated relatively quickly on a regular schedule.

Reversal designs are used to observe the impact of a remedy on the conduct of a single player. The participant is observed time and again previous to remedy to establish a baseline stage of behavior.

One ought to not use a reversal layout with behaviors that aren't reversible. For instance, if you train a person to fish, that man or woman is not probable to forget about how to fish, making a reversal design a negative preference for evaluating your fishing intervention.

Reversal layout: reversing among remedies (e.g., baseline, treatment, NCR, treatment, NCR, remedy, and many others.) Withdrawal design: reversing among treatment and no treatment (e.g., baseline, remedy, baseline, treatment, etc.)

Learn more about reversal design here https://brainly.com/question/20388722

#SPJ4

Evaluate 3x for x = -2, x = 1, and x = 3.
A) 1/9, 3,27
B) ¹/3, 0, 9
C) 9,3, 27
D) 1/9, 9, 27

Answers

Answer:

A) 1/9, 3, 27

Step-by-step explanation:

i think you mean 3^x (and not 3x).

because otherwise none of the answer options withdraw makes any sense.

3^-2 = 1/(3²) = 1/9

3¹ = 3

3³ = 27

Other Questions