what is the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order?

Answer:

180 for the interior angles

360 for the exterior angles

Step-by-step explanation:

It’s a rule, no matter how big the triangle gets the interior angles equal 180 and the exterior equals 360

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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The degenerate conic formed when a double cone is sliced at the apex by a plane parallel to the base of the cone is a Option C) Circle.

When a double cone is sliced at the apex by a plane parallel to the base of the cone, the cross-section formed is a circle. A circle is a degenerate conic because it can be obtained as a limit of an ellipse as its semi-axes approach equal lengths. In other words, as the semi-axes of an ellipse become more and more equal, the ellipse approaches a circle. Therefore, the degenerate conic formed when a double cone is sliced at the apex by a plane parallel to the base of the cone is a circle.

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Complete Question

which degenerate conic is formed when a double cone is sliced at the apex by a plane parallel to the base of the cone?

a) two lines

b) hyperbola ellipse

c) Circle

d) one line

Answer: point

Step-by-step explanation:

i got it right

Total number of selecting three partners randomly in which at least one junior partner must be there out of 23 senior and 24 junior partners is 14,444

Combination:

                       Combination is the number of possible ways, where order is irrelevant and replacements are not permitted, to select a sample of r elements from a set of n different objects.

                             \(C(n,r)=nCr = \frac{n!}{(n-r)! r!}\)

  C(n, r) means, Selection of r things out of n different things

           According to question,

        Given,

                    A firm has 23 senior and 24 junior partners.

      We have to select three partners randomly in which at least one junior partner must be there.

Case I : 2 senior and 1 junior partners

            2 senior partners can be selected out of 23 in C(23,2) ways

            1 junior partner can be selected out of 24 in C(24,1) ways

      hence number of ways of selecting 2 senior and 1 junior partners is equal to

                      C(23,2) x C(24,1)

Case II :  2 senior and 1 junior partners

               1 senior partners can be selected out of 23 in C(23,1) ways

               2 junior partner can be selected out of 24 in C(24,2) ways

      hence number of ways of selecting 1 senior and 2 junior partners is equal to

                          C(23,1) x  C(24,2)    

Case III :  0 senior and 3 junior partners

               0 senior partners can be selected out of 23 in C(23,0) ways

               3 junior partner can be selected out of 24 in C(24,3) ways

      hence number of ways of selecting no senior and 3 junior partners is equal to

                          C(23,0) x  C(24,3)    

Thus,

        Total number of selecting three partners randomly in which at least one junior partner must be there is

           C(23,2) x C(24,1) +  C(23,1) x  C(24,2)   + C(23,0) x  C(24,3)  

Using formula,

                           \(C(n,r)=nCr = \frac{n!}{(n-r)! r!}\)

       C(23,2) x C(24,1) +  C(23,1) x  C(24,2)   + C(23,0) x  C(24,3)  

    =    253    x 24        +  23        x  276        + 1           x 2024

    =    6072   +  6348 + 2024

    =    14,444

Total number of selecting three partners randomly in which at least one junior partner must be there is 14,444

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The number of applicants that were not accepted are calculated to be 1260.

The number of applicants that were not accepted can be determined as follows;

Since 2 out of every 9 applicants are accepted; therefore the total number of applicants out of which 360 applicants were accepted can be calculated as follows;

360 × 9 / 2 = 3240 / 2 = 1620

Therefore the total number of applicants is calculated to be 1620, out of these 1620 applicants, 360 were accepted therefore the number of applicants that were not accepted can be determined by subtraction.

The number of applicants that were not accepted can be determined by subtracting the accepted applicants from the total number of applicants as follows;

Applicants not accepted = 1620 - 360

Applicants not accepted = 1260

Therefore 1260 applicants were not accepted by the program.

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Answer:

The answer is 35

Step-by-step explanation:

It wants to know how many basketball and baseball players there are. If there are 20 basketball players and the ratio is 4:3 then you need to divide the number of basketball players by 4 then multiply by 3. Add 20 to that number and the answer is C

Answer:

35

Step-by-step explanation:

I came up with 35 because 20/4= 5, so we are multiplying players by 5. Similarly, 3x5=15 for baseball players. 20 basketball players plus 15 baseball players is 35. I hope this helps!

The area of the expression  2 1/2 x 1/3 Using an area model is 5/6.

The area model is a method of calculating area by parts.

Given that, we are asked to find the area of the expression 2 1/2 x 1/3 Using an area model,

Area =

\(= (2\frac{1}{2}) . (\frac{1}{3}) \\\\= 2.\frac{1}{3}+\frac{1}{2}.\frac{1}{3}\\\\= \frac{2}{3}+\frac{1}{6}\\\\= \frac{15}{18}\\\\= \frac{5}{6}\)

Hence, the area of the expression  2 1/2 x 1/3 Using an area model is 5/6.

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Answer:

50

Step-by-step explanation:

since all angles add up to 180

and since this is a right triangle the square in the corner is 90 degrees

so 40+90+x=180

130+x=180

subtract 130 from both sides

130-130+x=180-130

x=50

Hope that helps :)

To solve the given recurrence relation an = 3an-1 - 2 for n ≥ 1 using iteration, we start with the initial condition a₀.

Using the recurrence relation, we can express a₁ in terms of a₀:

a₁ = 3a₀ - 2.

Next, we express a₂ in terms of a₁:

a₂ = 3a₁ - 2 = 3(3a₀ - 2) - 2 = 9a₀ - 8.

Continuing this process, we find a₃:

a₃ = 3a₂ - 2 = 3(9a₀ - 8) - 2 = 27a₀ - 26.

We can observe a pattern emerging. The coefficient of a₀ in each term is increasing by a factor of 3, and we subtract 2 from the previous term to obtain the current term.Based on this pattern, we can write the general formula for an as:

an = 3ⁿa₀ - (3ⁿ - 1) / 2.

This formula represents an analytic solution for the recurrence relation.

Therefore, the analytic formula for an using iteration is an = 3ⁿa₀ - (3ⁿ - 1) / 2, where a₀ is the initial condition.

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I don't know either that's why I came here but there was no answer soooooooooooo

To schedule the tasks on two machines in a way that minimizes the time for both machines to finish their tasks, we can use the "Longest Processing Time" algorithm.

1. Sort the list of times in descending order: (18, 16, 12, 8, 6).

2. Assign the tasks one by one to the machine with the currently shorter total processing time.

  Machine 1: (18) -> Total time: 18

  Machine 2: (16) -> Total time: 16

  Machine 1: (12) -> Total time: 30

  Machine 2: (8) -> Total time: 24

  Machine 1: (6) -> Total time: 36

3. The best time for both machines to finish their tasks is the maximum of the two total times: 36.

the correct answer is:

D) 35 (Incorrect)

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Answer:

100 Centermeters in one meter

Step-by-step explanation:

Hope This Helps

Have A Great Day

Perimete23.33 feet

Explanation:

A room is like a rectngle. SO we would apply the perimeter of a rectangle

perimeter of a rectangle = 2(length + width)

length = 10'6" = 10 feet 6 inches

Width = 14' = 14 inches

Let's make the unit oof length and width to be in feet (that is the unit in the question option)

12 inches = 1 foot

6 inches = 6/12 = 1/2 feet

14 inches = 14/12 = 7/6 feet

length = 10 feet + 1/2 feet = 10 1/2 feet = 21/2 feet

width = 7/6 feet

perimeter of a rectangle = 2(21/2 + 7/6)

Answer:

En 5 horas se habrá enterado todo el pueblo.

Step-by-step explanation:

Sabemos que en un pueblo 5 personas escucharon una noticia.

Una hora más tarde, cada una de ellas le contó la noticia a otras 5.

Luego, éstas contaron la noticia a otras 5 y así sucesivamente.

Nadie cuenta ni escucha la noticia más de una vez y en ese pueblo hay un poco más de 19000 habitantes.

La ecuación a desarrollar para resolver el problema es la siguiente :

Comenzamos con 5 personas que escucharon la noticia a la ''hora 0''.

Una hora más tarde, cada una de ellas le contó a 5 personas, es decir , pasada la primera hora tendremos :

\(5+5^{2}=30\) (I)

Las 5 personas originales de la ''hora 0'' más 25 personas que se enteraron pasada la primera hora. La ecuación que planteamos es la siguiente :

\(5^{1}+5^{2}+5^{3}+...+5^{x}>19000\) (II)

Buscamos el valor de \(x\) que satisface la ecuación (II).

Probando y realizando las sumas encontramos que :

\(5^{1}+5^{2}+5^{3}+5^{4}+5^{5}+5^{6}>19000\)

\(19530>19000\)

El valor de \(x\) que satisface (II) es \(x=6\).

Para hallar el número de horas nos fijamos que en (I) el valor del mayor exponente del 5 es el número 2. Para ese valor 2, el tiempo que pasó es una hora.

Entonces para nuestro \(x=6\), el número de horas que pasaron son 5 horas (1 menos que el valor de \(x\))

Todo el pueblo se habrá enterado en 5 horas de la noticia.

Answer:

X=18

Step-by-step explanation:

This is on a straight line, which is 180° in total.

Information:

106°

4x

On a straight line

106+4x=180

Subtract the 106 from 180 to cancel it out.

4x=74

Divide 4 to both sides to single the x out

x=18.5

The expression is 14 - 14.

Subtraction is a mathematical operation that is used to determine the difference between two or more numbers. The sign used to depict subtraction is -. Other mathematical operations are addition, multiplication and division.

In order to determine the expression for the amount of gas left, we need to subtract the gas bought from the gas used: 14 - 14

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A large retail company has different stores in the United States and in Europe.

a) i) Sampling method 2, results in a stratified sample of employees and strata is US And Europe.

ii) Sampling method 1, results in a Cluster sample of employees and Clusters: 8 (Employees of each 8 Stores).

b) Advantage and disadvantage of sampling method l is provided below.

c) Accurate Sampling, is statistical advantage of using sampling method 2 over a simple random sample.

We have the following information about problem :

1) In United States company and Europe company have 500 and 300 stores and a total of 100000, 60000 employees respectively (200 per store).

2) benefits offered by company are 1) One additinal day of paid vacation per year 2) Small increase in salary. Company wants to Know which offer is preferred and does employees in US And in Europe has difference of preference.

Now A)

i) Stratified sample of employees

Because in stratified sampling technique researcher identifies the contrubution of each strata in overall population. As in this case company chose 1000 employees out of100000 employees from US And 600 employees out of 60000 from Europe. Dividing them in 2 strata depending on there contribution in the over all population.

ii) Cluster sample of employees

Because in cluster sampling researcher divides sample in different groups (clusters) then researcher choose groups randomly for data analysis. groups get equal chance to be represented. In this example 8 stores (clusters) choosen randomly for study.

B) Sampling method 1 : Statistical advantage:

Accurate sampling is not guaranteed as proper representation of different groups in the population depending upon there representation is not practiced.

C) Statical advantage of sampling method 2 over simple random sample. In Sampling method 2 (Stratified sampling) Researcher identifies the contribution of each starata in population then picks the appropiriate sample size. Thus the most important advantage of method 2 over simple random sample is Accurate Sampling (attribution of each strata is properly represented in the sample chosen from the population).

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Solution

We can use the following identity:

Solving for x we got:

Answer:

7.8*10^3

Step-by-step explanation:

7.800

The value of x is 77.5. In order to solve for x, we need to use the Triangle Angle Sum Theorem.

Value is a subjective concept that referred to the word of importance that an individual group of people places on something it is often associated with principal beliefs and standard that are accepted by society when you can be seen as a measure of how important something is true person of organization it is often seen as a reflection of ones worldview and can help to save attitudes decision and behaviors believe is not an absolute and very depending on the context of the looks like commands.

In order to solve for x, we need to use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is 180°. Since angle BAC is bisected by segment AD, the two angles must be equal. Therefore, we can set up the following equation to solve for x:

180° = angle BAC = (x + 7) + (x + 18)

We can solve this equation by combining like terms and isolating the variable x.

180° = 2x + 25

2x = 155

x = 77.5

Therefore, the value of x is 77.5.

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Answer:

The second one

Step-by-step explanation:

The two lines never intersect.

The Solution:

We are to name each of the polynomials based on their number of terms and degrees.

Thus, all the answers are correct as ticked in the above pictures.

To solve the inequality:

Now, the graph of this inequality would be a number line with a shaded region of any number greater or equal than 7, like this:

Answer: Two dice

Step-by-step explanation:

For the two dice, there are 5 possible: (6, 2);(5, 3);(4, 4);(3, 5);(2, 6)

So two dice, the probability is 5/36 = 30/216

For three dice, the number of favorable cases is 21

The probability is 21/216

So the two dice are more likely

If a driver drives at a constant rate of 32 miles per hour, how long would it take the driver to drive 272 miles? It would take the drive hour(s) to drive 272 miles?​

In this problem

Applying proportion

1 /32=x/272

solve for x

x=272/32