fair dice. consider one set of tosses of two fair 4 sided die. c. what are the odds (probability) of each outcome for tossing a pair of dice?

Answers

Answer 1

When considering a set of tosses of two fair 4-sided dice, there are a total of 16 possible outcomes. Each die has four possible outcomes, and since there are two dice, we multiply 4 by 4 to get 16.

The probability of rolling any specific outcome is 1/16. This is because each outcome is equally likely to occur, and there are 16 total outcomes.

To calculate the probability of rolling a specific total, we can create a table of all the possible outcomes and their corresponding totals. For example, if we roll a 1 on both dice, the total would be 2. If we roll a 2 and a 3, the total would be 5.

Once we have the table, we can count how many times each total occurs and divide by the total number of outcomes (which is 16). This will give us the probability of rolling each total.

For example, there is only one way to roll a total of 2 (rolling two 1's), so the probability of rolling a total of 2 is 1/16. There are three ways to roll a total of 5 (1+4, 2+3, and 3+2), so the probability of rolling a total of 5 is 3/16.

In summary, the probability of each outcome when tossing a pair of fair 4-sided dice is 1/16, and the probability of each total can be calculated by creating a table and counting the number of times each total occurs.

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Related Questions

someone finish this rq

someone finish this rq

Answers

Answer:

1

Step-by-step explanation:

y= 4x+?

points on the graph

(-1, -3) and (1, 5)

-3= -1*4+?

-3= -4+1  ⇒ ? = 1

5= 1*4 +?

5= 4+ 1 ⇒ ? = 1

Verified by second point

Please solve thank you

Please solve thank you

Answers

Answer:One fraction:16/10

Mixed number:1  6/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Leila drove 756 miles in 12 hours. At the same rate, how many miles would she drive in 5 hours?

Answers

Lia achived 315 miles in 5 hours

what is the slope from (-4,6) to (2, 3/2)?

Answers

Answer:

1\2

Step-by-step explanation:

a classroom of children has 18 boys and 19 girls in which five students are chosen at random to do presentations. what is the probability that more boys than girls are chosen? a) 0.1334 b) 0.4731 c) 0.0197 d) 0.4535 e) 0.3398 f) none of the above.

Answers

The probability that more boys than girls are chosen is 0.4731. So option b is correct.

Combination:

The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given that there are 18 boys and 19 girls and 5 students are chosen.

We have to find the probability that more boys than girls are chosen.

Probability = \(C^{5} _{18}\) + \(C^{4}_{18} C^{1} _{19}\) + \(C^{3} _{18} C^{2} _{19}\) / \(C^{5}x_{37}\)

                  = 8568 + 58140 + 139536 / 435897

                  ≈ 0.4731

Therefore the probability is 0.4731.

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What is the area in square centimeters of the triangle below?

What is the area in square centimeters of the triangle below?

Answers

Answer:

it's 10 times 7 divided by 2

From a survey of coworkers you find that 51% of 200 have already received this year's flu vaccine. An approximate 95% confidence interval is (0.439,0.581). Which of the following are true? If not, explain briefly?


a. 95% of the coworkers fall in the interval (0.439,0.581).

b. We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 43.9% and 58.1%

c. There is a 95% chance that a randomly selected coworker has received the vaccine

d. There is a 51% chance that a randomly selected coworker has received the vaccine

e. We are 95% confident that between 43.9% and 58.1% of the samples will have a proportion near 51%.

Answers

b. We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 43.9% and 58.1%

It is only (b) option is TRUE.

From the question, we have the information available is:

From a survey of coworkers you find that 51% of 200 have already received this year's flu vaccine.

An approximate 95% confidence interval is (0.439,0.581).

We have to find the which statement is true.

Now, According to the question:

a. 95% of the coworkers fall in the interval (0.439,0.581).

It is false statement because This interval is about the worker's flu vaccine proportion.

b. We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 43.9% and 58.1%

This is true statement.

c. There is a 95% chance that a randomly selected coworker has received the vaccine

It is False. A random selected coworker has received the vaccine proportion is between 43.9% and 58.1%

d. There is a 51% chance that a randomly selected coworker has received the vaccine

It is False. This chance is between 43.9% and 58.1% in 95% confidence level.

e. We are 95% confident that between 43.9% and 58.1% of the samples will have a proportion near 51%.

It is also false . because there is no meaning of this sentence.

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what is the common factor of 8x^3+5x

Answers

Answer:

X

Step-by-step explanation:

X(8X^2 + 5)

Then, the common factor is X

Evaluate the expression. −8÷−4 CLEAR CHECK −2 −12 12 2

Answers

Evaluate the expression is -10.

How should examples of expressions be evaluated?

You must replace each variable with a number and carry out the arithmetic procedures to evaluate an algebraic expression. As 6 + 6 = 12, the variable x in the preceding example is equal to 6. We can replace our variables with their values if we know what they are, then evaluate the expression after doing so.

The division can be done as follows when assessing the phrase 8 4:

−8 ÷ −4 = 2

The expression is thus reduced to:

2 - 12

12 is subtracted from 2 to yield:

-10

Thus, -10 is the correct response.

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Match the correct statement with the given information.


Column A

1.

A cone's radius increases x 3:


A cone's radius increases x 3

2.

A cone's height increases x 3:

A cone's height increases x 3

3.

A sphere's radius increases x 3:

A sphere's radius increases x 3

4.

A cylinder's radius increases x 6:

A cylinder's radius increases x 6

Column B


a.The cone's volume will increase x 9

b.The cone's volume will increase x 3

c.The cylinder's volume will increase x 6

d.The sphere's volume will increase x 6

e.The cylinder's volume will increase x 12

f.The cone's volume will increase x 6

g.The sphere's volume will increase x 3

h.The cylinder's volume will increase x 18

i.The cylinders volume will increase x 36

j.The sphere's volume will increase x 9

k.The sphere's volume will increase x 27

Answers

The correct statements regarding the transformations to the volumes are given as follows:

1. A cone's radius increases x 3: -> The cone's volume will increase x 9.

2. A cone's height increases x 3: -> The cone's volume will increase x 3

3. A sphere's radius increases x 3 -> The sphere's volume will increase x 27.

4. A cylinder's radius increases x 6 -> The cylinders volume will increase x 36.

What are the volumes?

The equations that give the volumes of each solid are given as follows:

Cone: V = πr²h/3.Sphere: V = 4πr³/3.Cylinder: V = πr²h.

Then the increases are given as follows:

Radius: Volume is multiplied by the scale factor squared in the case of cone/cylinder, and scale factor cubed in the case of the sphere.Height: Volume is multiplied by the scale factor.

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Will get brainliest!!!!!
Will report bots

Will get brainliest!!!!!Will report bots

Answers

Answer:

x= -5 or x=4

Step-by-step explanation:

Lets first turn this into quadratic formula form

(-1 ±\(\sqrt{1^2-4*1*-20}\)) / 2

(-1 ± 9 )/2

-10 / 2   =x or 8/2 =x

x= -5 or x=4

It was hard to type it in the comments hope this helped

Mathias and his brother divided 2,017 marbles equally. Use compatible numbers to estimate how many marbles each brother received. They each received about marbles.

Answers

Answer:

compatible numbers are numbers that we can use to solve complex calculations in a simpler manner.

instead of dividing 2,017 by 2, we can decompose this division in the following way:

even if you do not like math, you are probably able to divide 2,000 by 2 = 1,000

we still have 17 marbles left, and since you should know that 2 x 8 = 16

we calculated that each brother received 1,000 + 8 = 1,008 marbles and they had 1 left over.

find [t]-1 given that cos sin sin cos and show that [t]21 5[t]t and hence that [t] is an orthogonal matrix.

Answers

TT is equal to T-1, so the given matrix is an orthogonal matrix.

What is an orthogonal matrix?

A matrix is said to be orthogonal if its antipode is also its transpose and if its relationship to the inner product is established. A real square matrix with orthonormal vectors in its columns and rows is known as an orthogonal matrix or orthonormal matrix in direct algebra. Where QT is the transpose of Q and I is the identity matrix is one system to put this into words. However, the matrix is said to be orthogonal, If the transpose of a square matrix with real figures or values is equal to the inverse matrix of the matrix. In other words, an identity matrix will always be affected by the product of a square orthogonal matrix and its transpose.

Here, the determinant of T,

 |T| = cos²∅ + sin²∅

      = 1

Now, its cofactors,

\(T_{11}\) = cos ∅

\(T_{12\) = sin ∅

       \(T_{21\)= -sin ∅

\(T_{22\) = cos ∅

Now, the adjoint matrix of cofactors matrix transpose \(T^T\) is equal to \(T^{-1.\)

Hence, the given matrix is an orthogonal matrix.

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PLEASE HELP IM ALMOST DONE I WILL GIVE BRAINLIST

PLEASE HELP IM ALMOST DONE I WILL GIVE BRAINLIST

Answers

The width of a rectangle that has the length of 72 would be = 90 inches. That is option B.

What is a proportional rectangle?

A proportional rectangule represents the rectangles that have similar ratios of both length and width.

From the table given,

Rectangle with length 8 = width 10

Rectangle with length 12 = width 15

Rectangle with length 24 = width 30

We can now say that if 8 = 10 the width of length 72 = X

Make X the subject of formula;

X = 72×10/8

X = 720/8

X = 90 inches.

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plss help me due now

plss help me due now

Answers

Answer:

B

Step-by-step explanation:

Hi!!

since they both equal y so we can set these equations equal to each other

60x+30=70x

-60x.        -60x

30=10x

/10. /10

3=x

3 hours is x and now we can fill in x to find y

y=70(3)

y=210

210 miles so B is the correct answer

Hopes this helps please mark brainliest

a particular investment losses, on average, 2.1 % in value twice a year. which equation represents the amount of money, y, an investor will have after t years if the initial investment is $400?

a particular investment losses, on average, 2.1 % in value twice a year. which equation represents the

Answers

Given:

2.1 % loses twice a year.

So at first, the initial investment is $400.

Then first year will be,

\(\begin{gathered} 1.\text{ }400(1-2.1\%)=400(1-\frac{2.1}{100})=400(1-0.021) \\ 2.\text{ }400(1-0.021)^2 \end{gathered}\)

Second year:

\(\begin{gathered} 1.\text{ }400(1-0.021)^2\times(1-0.021) \\ 2.\text{ }400(1-0.021)^3\times(1-0.021) \\ . \\ . \\ . \\ So\text{ it is }y=400(1-0.021)^{2t} \end{gathered}\)

Hence, the correct option is Option D.

Which of the following tests can be used to assess whether variances are equal between multiple groups? Welch's test Shapiro-Wilk test Goodness of Fit test Levene test 26 10 points Cancer patients were treated with a new cell-based therapeutic to aid in reducing tumor size. The data table below shows the patients' adverse reactions to this treatment: Weak reaction Strong reaction Male patients Medium reaction 203 110 213 138 182 Female patients 154 Is the sex (male or female) of the patient linked to the severity of the adverse reaction that is observed? Show your work and explain your logic below. Bold or circle your final answer. 0000 The correlation coefficient (r) is used for linear, exponential, and logarithmic relationships. True False

Answers

The test that can be used to assess whether variances are equal between multiple groups is the Levene test.

The Levene test is a hypothesis test for the equality of variances in a statistical population. It is named after the American statistician Howard Levene. It is commonly used to check the null hypothesis of homoscedasticity or equal variances across k groups. The test is used to determine if two or more groups have different variances or if the variance is unequal. The null hypothesis of the Levene test is that the variance of the populations from which the groups are drawn is equal. The Levene test is an alternative to the F-test for equal variances. Therefore, it can be concluded that the Levene test can be used to assess whether variances are equal between multiple groups.

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Simplify the expression and combine like terms.
​ 3(x+1)+8+4x3(x+1)+8+4x

please help, it would mean the world to me :D

Answers

Answer:

im gonna guess that the x's aren't multiplication, the answer is 14x+20

Arlene did chores at her house for 8 hours
last week. In the future she plans to do 2 hours
of chores per week. Write an algebraic
expression to represent the total number of
hours she will do chores.

Answers

The algebraic expression to represent the total number of hours she will do chores will be f(x) = 8 + 2x

Linear function and algebraic equations

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Let the number of hours she will do chores be x

Arlene did chores at her house for 8 hours last week and she plans to do 2 hours of chores per week, then the algebraic expression to represent the total number of hours she will do chores will be;

f(x) = 8 + 2x

where f(x) is the required total hour

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The territory of a small town can be modeled by a rectangle with an area of 45 square miles. If the town has a population of 14,850, then what is its population density?

Answers

Answer:

330 people per square mile

Step-by-step explanation:

Here, we want to find the population density of the town

To find this, we have to divide the population by the area

That will be ;

14,850/ 45 = =330 people per square mile

An item is regularly priced at $34. Reuben bought it on sale for 10% off the regular price.

Answers

Answer:

New price is $30.6

Step-by-step explanation:

10% of 34 is 3.4

34 - 3.4 = 30.6

Finding the values of Product and Quotient Functions:

Finding the values of Product and Quotient Functions:

Answers

Answer:

2

Step-by-step explanation:

r(x) = 2 sqrt(x)

s(x) = sqrt(x)

r(x) / s(x) =  2 sqrt(x) / sqrt(x)

              = 2

Answer:

2

Step-by-step explanation:

Edge,

PLS HELP ILL MARK AS BRAINLIEST

PLS HELP ILL MARK AS BRAINLIEST

Answers

Answer:

296, 288, 280, 240

Step-by-step explanation:

y = -8x + 296 is a linear equation by which you're plugging the x values of 0,1,2,7 into it to get a y value.

y = 296 when x = 0,

y = 288 when x = 1,

y = 280 when x = 2,

y = 240 when x = 7.

Cheers!

what is the y-coordinate of the solution for the system of equations? {x-y=12 {27+3y=2x

Answers

Answer:

-3

Step-by-step explanation:

x - y = 12 is the same as -2x = -24 - 2y

                                         2x = 27 + 3y

                                     +  --------------------

                                         0 =   3  +  y

                                        -3 = y

please help, will mark brainliest!!

please help, will mark brainliest!!

Answers

Answer:

$12000

Step-by-step explanation:

P=CRT

C=cost

R=rate

T=time

P=3000 x 8 x 50/100= $12000

T/F. Exception reports show a greater level of detail than is included in routine reports.

Answers

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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What is the value of the dependent variable if the value of the independent variable is -4?
f(x)= -3x^2 + 5x
A. 28
В. -44
C. -68
D. 4

Answers

f(-4)= -3(-4)^2 + 5(-4)=-68
Option C is correct.
Hope it is useful!!

Help please this is also confusing

Help please this is also confusing

Answers

Answer:

6-r

7-t

8-m

9-a

Hope this helps plz mark me s brainliest for both questions

On September 1, 2010, you decided to put $ 16000 in a money market fund. On March 1, 2015, you deposit another $ 13000 and on January 1, 2018, you added another $ 12000. This fund pays interest at the annual rate of 7.2%, compounded monthly. Find the future value of the fund on January 1, 2018, just after the third deposit.
a.5 41571.76
b$41856.39 $41203.09
c. $41660.91
d.$ 38213.59

Answers

The future value of the fund on January 1, 2018, just after the third deposit, is approximately $47,986.47.

To find the future value of the fund on January 1, 2018, just after the third deposit, we can use the compound interest formula:

\(FV = P(1 + r/n)^{nt}\)

Where:

FV = Future Value

P = Principal amount (initial investment)

r = Annual interest rate (expressed as a decimal)

n = Number of times the interest is compounded per year

t = Number of years

Let's calculate the future value step by step:

First deposit:

P = $16000

r = 7.2% = 0.072 (as a decimal)

n = 12 (compounded monthly)

t = 4.333 years (from September 1, 2010, to March 1, 2015)

\(FV_1 = 16000(1 + 0.072/12)^{(12*4.333)}\\= 16000(1 + 0.006)^{52}\\= 16000(1.006)^{52}\\= 20,296.43\)

Second deposit:

P = $13000

r = 7.2% = 0.072 (as a decimal)

n = 12 (compounded monthly)

t = 2.917 years (from March 1, 2015, to January 1, 2018)

\(FV_2 = 13000(1 + 0.072/12)^{(12*2.917)}\\= 13000(1 + 0.006)^{35}\\= 15,618.04\)

Third deposit:

P = $12000

r = 7.2% = 0.072 (as a decimal)

n = 12 (compounded monthly)

t = 0.084 years (from January 1, 2018, to January 1, 2018)

\(FV3 = 12000(1 + 0.072/12)^{(12*0.084)}\\= 12000(1 + 0.006)\\= $12,072.00\\\)

Adding up the future values:

\(Total FV = FV_1 + FV_2 + FV_3\)

= $20,296.43 + $15,618.04 + $12,072.00

≈ $47,986.47

Therefore, the future value of the fund on January 1, 2018, just after the third deposit, is approximately $47,986.47.

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Please helpppppp
Given m
11
n, find the value of x and y.
(9x+1)
m
jo
(7x+13)
n

Please helppppppGiven m11n, find the value of x and y.(9x+1)mjo(7x+13)n

Answers

(9x+1)=(7x+13)
2x+1=13
2x=12
x=6

7(6)+13
42+13
55

180-55
125
y= 125°

Answer:

x = 6

y° = 125°

Step-by-step explanation:

9x + 1 and 7x + 13 are alternate angles and has same measurement

9x + 1 = 7x + 13

9x - 7x = 13 - 1

2x = 12

x = 6

y° and 7x + 13 are supplementary angles so their sum is 180°

7x + 13 ➡ 7×6 + 13 = 55°

55 + y° = 180 subtract 55 from both sides

y° = 125°

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