You have thrown money fifty times and always got a clave. What is the probability that the next two throws will give you a crown on each? 2. From a box of 15 white and 12 black balls, lift five balls to the end. What is the probability of getting three white balls and two black balls? 3. Persons A and B join the queue with 8 other persons completely indiscriminately. What is the probability that there are at most two people between A and B? 4. Randomly draw cards from the deck. What is the probability that the sixth bet will result in a third pot? 5. 1 (a) Distracted Mr K forgets his umbrella in trade with probability What is the probability that he has forgotten his umbrella in four trades? (b) After four trades, Mr K finds that he has forgotten his umbrella. What is the probability that the umbrella will now remain in the first trade? What about the second, third, or fourth tendon? 6. Roll three dice. What is the expected number of eyes?

Answer

Part 1

Step-by-step explanation:

T2=3(5)-12=3

T3=-3

T4=-21

T5=-75

Answer:

The correct answers is letter C

Step-by-step explanation:

= x(1/6 + 2/5 - 8/3) + 42 - 19

= - 21/10x + 42 -19

= -21/10 x + 23

Answer:

0.11111111111

Step-by-step explanation:

Any number taken to the zeroth power = 1 therefore, 3^-2 = 1/3^2 = 1/9 = 0.111111111 recurring.

Answer: um..

Step-by-step explanation:

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

y - 4= -2(x - 2)

Step-by-step explanation:

(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)

So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.

Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .

So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)

the dimensions of the poster with the smallest area are approximately 28.94 cm × 22.53 cm. we can conclude that the dimensions of the poster with the smallest area are: Width of the poster = x + 12 = 1831 / 48 + 12 = 463 / 16 cm ≈ 28.94 cm Height of the poster = (382 / x) + 24 = (382 / (1831 / 48)) + 24 = 1826 / 81 cm ≈ 22.53 cm

The area of printed material on the poster is set at 382 square centimeters. We are to find the dimensions of the poster with the smallest area Let the width of the printed material on the poster be x cm. Since the top and bottom margins of the poster are each 6 cm, the height of the printed material on the poster is given by:(382 / x) + 12 cm We know that the area of the poster is equal to the sum of the areas of the printed material and the margins on all sides. Thus,

we can write: Width of the poster = (width of the printed material) + (margins on left and right sides)

= x + 12 cm

Height of the poster = (height of the printed material) + (margins at top and bottom)

= (382 / x) + 12 + 12 cm= (382 / x) + 24 cm

Therefore, the area of the poster can be written as:

A(x) = (x + 12) [(382 / x) + 24] sq.cm

= (382 + 24x + 1449 / x) sq.cm

= [(24x² + 24x + 1831) / x] sq.cm

Now we need to minimize the function A(x).

To do this, we will differentiate A(x) with respect to x and equate it to zero :dA(x) / dx

= [x (48x - 1831) / x²] = 0

=> 48x - 1831 = 0

=> x = 1831 / 48 cm

Now, we need to check whether this value of x minimizes A(x).For this, we can check the signs of dA(x) / dx for x < 1831 / 48 and x > 1831 / 48.A(x) is decreasing for x < 1831 / 48 and increasing for x > 1831 / 48.

Thus, we can conclude that the dimensions of the poster with the smallest area are: Width of the poster = x + 12 = 1831 / 48 + 12

= 463 / 16 cm ≈ 28.94 cm

Height of the poster = (382 / x) + 24

= (382 / (1831 / 48)) + 24 = 1826 / 81 cm ≈ 22.53 cm

Thus, the dimensions of the poster with the smallest area are approximately 28.94 cm × 22.53 cm.

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Answer:

x(x-1)=72 x=9

Step-by-step explanation:

The diagram below is given

From the diagram

By the properties of right angle triangle

By the rule of the sum of angles on a straight line

It implies that

Substitute a = 90 and solve for x

Therefore, the value of x is 38 degrees

The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.

For the given question.

The difference in the percentiles and raw scores is-

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Answer:

x = 18

∠A = 83

Step-by-step explanation:

Since you have a line intersecting two parallel lines, the angles formed from the intersection will be equal to 180.  This means that you can add up the two angle measures and set them equal to 180.

(6x - 35) + (3x + 53) = 180

6x - 35 + 3x + 53 = 180

9x + 18 = 180

(9x + 18) - 18 = 180 - 18

9x = 162

x = 18

Now to solve for ∠A, plug in the x-value and solve.

∠A = 6x - 35

∠A = 6(18) - 35

∠A = 118 - 35

∠A = 83

Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

Answer:

Length of the string let out by Jim is 156.9 m.

Step-by-step explanation:

From the figure attached,

Jim observes the angle of elevation of the kite = 85°

And Patty observes the angle of elevation of the kite = 40°

Angle formed between the lines joining kite to Jim and Patty = 180° - (85 + 40)° = 55°

Distance between Jim and Patty = 200 m

Let the length of the string between Jim and the kite = x meters

By applying Sine rule in the triangle formed between Jim, Patty and the kite,

\(\frac{\text{Sin}55}{200}=\frac{\text{Sin}40}{x}\)

x = \(\frac{200\times \text{Sin}40}{\text{Sin}55}\)

x = 156.94 m

  ≈ 156.9 m

Therefore, length of the kite string from Jim and the kite is 156.9 m.

Answer:

Step-by-step explanation:

A matrix is a set of numbers organized in rows and columns to represent the variables in a situation, and the determinant is used to find the inverse of a matrix which helps you solve for different variable values.

Answer: A matrix or matrices is a rectangular grid of numbers or symbols that is represented in a row and column format. A determinant is a component of a square matrix and it cannot be found in any other type of matrix. ... A determinant is a number that is associated with a square matrix.

Step-by-step explanation:

The probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%

To calculate the probability that exactly 4 out of the 5 employees selected to work on Labor Day are cashiers, we need to use the concept of combinations and probabilities.

First, let's determine the total number of ways to select 5 employees out of the 22. This can be calculated using the combination formula:

C(n, k) = n! / (k!(n-k)!)

where n is the total number of employees (22) and k is the number of employees selected (5).

C(22, 5) = 22! / (5!(22-5)!)

= 22! / (5! * 17!)

= (22 * 21 * 20 * 19 * 18) / (5 * 4 * 3 * 2 * 1)

= 22,957

So, there are a total of 22,957 ways to select 5 employees out of the 22.

Next, let's determine the number of ways to select exactly 4 cashiers out of the 9 cashiers. This can also be calculated using combinations:

C(9, 4) = 9! / (4!(9-4)!)

= 9! / (4! * 5!)

= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

= 126

Now, let's calculate the probability of selecting exactly 4 cashiers out of the 5 employees randomly selected for overtime pay:

P(4 cashiers) = Number of ways to select 4 cashiers out of 9 / Total number of ways to select 5 employees from 22

= C(9, 4) / C(22, 5)

= 126 / 22,957

≈ 0.00549

Therefore, the probability that exactly 4 out of the 5 randomly selected employees are cashiers is approximately 0.00549 or 0.549%

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The linear function that fits the given data points is: f(t)=17.4−0.6t

To fit a linear function of form f(t)=c0+c1t to the data points (-3,19), (0,1), (3,-11), using least squares, the values of c0 and c1 must be found.

The least squares method gives the values of c0 and c1 that minimize the sum of the squares of the errors between the predicted and actual values of the dependent variable (f(t)).

The first step is to calculate the means of t and f(t) from the given data points. Since there are three data points, we have:

t¯=1/3(−3+0+3)

 =0f(t)¯=1/3(19+1−11)

 =3.0

Using the values of t and f(t), we can set up a system of equations to solve for c0 and c1.

The equations are:19=c0−3c1, (1)=c00−c1⋅0−f(t)¯=c019−t¯⋅c1−f(t)¯=−8c1.

The solution to the system of equations can be found by substitution or elimination.

In this case, we will use substitution.

Using the first equation to solve for c0, we have:

c0=19+3c1

Substituting this expression for c0 into the second equation,

we have:

19+3c1−t¯⋅c1−f(t)¯=0

Simplifying, we get:

3c1−3=8c1c1=−3/5

Using this value of c1, we can find c0 using the first equation:

c0=19+3(−3/5)=17.4

Thus, the linear function that fits the given data points is:f(t)=17.4−0.6t

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answer

a 17× + 5× + 16 + 7

b 22× + 23

Step-by-step explanation:

the perimeter of a shape is calculated by adding up all the the sides.

part a asks you to use all four lengths so just place them side by side with the addition sign.

in part b you are asked to simplify it so you have to add the like terms. 17× and 15x add up to 22 and 16 and 7 add up to 23.this is the simplest we can go since 22x and 23 are not like terms.

hope this helps :)

The percentage of people who filed their taxes during the week of tax day is 10%

I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.

A percentage is a portion of a sum divided into 100 equal parts.

Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.

Let :

a represents the total number of taxpayers during the week of April 15th.

b represents the total number of taxpayers for that year.

The original equation is reduced to

a/b× 100

As an illustration, 100 individuals submitted their taxes the week of April 15th and

Let's say that year, 1000 persons filed their taxes.

= 100/1000 = 10%

Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.

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The points out where the tangents of the function are horizontal are\(\(x = 2\), \(x = 5\), and \(x = \frac{7}{2}\).\)

What is the tangent of a given function?

The tangent of a given function refers to the slope of the line that touches or intersects the graph of the function at a specific point. Geometrically, the tangent represents the instantaneous rate of change of the function at that point.

To find the tangent of a function at a particular point, we calculate the derivative of the function with respect to the independent variable and evaluate it at the desired point. The resulting value represents the slope of the tangent line.

To find the points where the tangents of the function\(\(y = (3x - 6)(x^2 - 7x + 10)^2\)\) are horizontal, we need to determine where the derivative of the function is equal to zero.

Let's first find the derivative of the function \(y\):

\(\[\begin{aligned}y' &= \frac{d}{dx}[(3x - 6)(x^2 - 7x + 10)^2] \\&= (3x - 6)\frac{d}{dx}(x^2 - 7x + 10)^2 \\&= (3x - 6)[2(x^2 - 7x + 10)(2x - 7)] \\&= 2(3x - 6)(x^2 - 7x + 10)(2x - 7)\end{aligned}\]\)

To find the points where the tangent lines are horizontal, we set \(\(y' = 0\)\)and solve for

\(\(x\):\[2(3x - 6)(x^2 - 7x + 10)(2x - 7) = 0\]\)

To find the values of x, we set each factor equal to zero and solve the resulting equations separately:

1. Setting\(\(3x - 6 = 0\),\) we find\(\(x = 2\).\)

2. Setting\(\(x^2 - 7x + 10 = 0\)\), we can factor the quadratic equation as\(\((x - 2)(x - 5) = 0\),\) giving us two solutions:\(\(x = 2\) and \(x = 5\).\)

3. Setting \(\(2x - 7 = 0\),\) we find \(\(x = \frac{7}{2}\).\)

So, the points where the tangents of the function are horizontal are\(\(x = 2\), \(x = 5\), and \(x = \frac{7}{2}\).\)

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Answer: Change of $9.51

Step-by-step explanation: Use parenthesis to simplify this, 2(14) + 1(24.99)+1(37.50) = 100. Then subtract accordingly.

Answer:

9.51

Step-by-step explanation:

multiply the cost of the cds by 2, add the DVD and the video game, then subtract that answer with a 100 dollar bill.

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

Answer:

A. day 12

Step-by-step explanation:

because that is when both lines meet

brainliest please :)

Answer:

d) y = (-3/4)(x - 3)^2 - 7

Step-by-step explanation:

The vertex form of a quadratic function is:

y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (3, -7), so we can substitute these values into the equation:

y = a(x - 3)^2 - 7

Now we need to find the value of "a". We can use the fact that the function passes through the point (1, -10). Substituting these values into the equation gives us:

-10 = a(1 - 3)^2 - 7

Simplifying, we get:

-10 = 4a - 7

-3 = 4a

a = -3/4

Substituting this value of "a" into the equation, we get:

y = (-3/4)(x - 3)^2 - 7

Therefore, the quadratic function in vertex form that can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10) is:

y = (-3/4)(x - 3)^2 - 7

Answer:

Zavier had 37 books, and Maria had 33 books

Step-by-step explanation:

You take 70 and divide it by 2 (cause you are only dividing the books up to maria and Zaviar); this will give you 35 books to each person EXCEPT Zavier has two more books to his pile, so you subtract two books from Marie and add it to Zaviers!

The solution to the inequality are the region in the shaded area and the graph is attached

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

y ≥3(0.8)^x

y ≥ x² - 5

Represent properly

y ≥ 3(0.8)^x

y ≥ x² - 5

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)

None of the options represent the shaded area (see attachment)

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The answer  is that the graph corresponding to the map of the postal worker's route would likely be a line graph.

This is because the route follows a linear path along the road, with the postal worker delivering mail to both sides of the road as she goes.

A line graph is a type of graph that is used to represent data that changes over time or along a continuous line. In the case of the postal worker's route, the line graph would show the distance traveled along the road as the independent variable on the x-axis, with the number of mail deliveries made on each side of the road as the dependent variable on the y-axis.

The postal worker is likely aiming to solve a graph problem related to optimizing her route and maximizing efficiency in delivering mail to all the houses along the road. By using a line graph to visualize the data of her route, she can analyze patterns in mail delivery and adjust her strategy as needed to improve her efficiency and accuracy.

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Three reasons why protestors in an advocacy campaign should avoid using violence during their protest are - safety concerns, damage to the cause and legal repercussions.

What is violence?

According to the definition of violence, it is "the intentional use of physical force or power, threatened or actual, against oneself, another person, or against a group or community, which either results in or has a high likelihood of resulting in injury, death, psychological harm, maldevelopment, or deprivation."

The three reasons are -

Safety concerns: Violence during protests can lead to serious harm to both protestors and bystanders. The use of violence can also result in police or military intervention, leading to more harm and arrests.

Damage to the cause: Protests that turn violent can damage the credibility and legitimacy of the cause being advocated for. Violence can overshadow the message of the protest and create a negative perception of the movement in the public eye.

Legal repercussions: Violent protests can result in legal repercussions, including arrests and criminal charges. This can harm individual protestors and the broader advocacy campaign. Additionally, it can lead to legal restrictions on future protests or even the banning of the advocacy group.

Therefore, the reasons are safety, damage to cause and legal consequences.

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Answer:

i believe the answer is c aka 51.84

Answer:

B is the answers for the question

Step-by-step explanation:

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