The circle graph shows how Tremaine divided his time on the computer last week Tremaine's Computer Time Games 25% Homework 20% Research 5% Other 10% Social media 40% Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play video games than to do research? 6 hours 20 hours 7.5 hours • 15 hours

Please explain ​

a) Yes. (b)           G        Y        R

   G  [0.60     0.00     0.40]

   Y  [1.00     0.00     0.00]

   R  [0.30     0.20     0.50]

(c) P(G, G, G, G) = 0.216. P(G, G, G, Y)= 0.144. P(G, G, G, R) = 0.120. P(G, G, Y, R) = 0.000. P(G, Y, R, R) = 0.000. P(Y, R, R, R) = 0.000

(a) Yes, this situation represents a Markov chain because the probabilities of moving to the next state (traffic light) depend only on the current state (traffic light) and not on any previous states.

(b) The transition probability matrix is:

         G        Y        R

   G  [0.60     0.00     0.40]

   Y  [1.00     0.00     0.00]

   R  [0.30     0.20     0.50]

where G represents green, Y represents yellow, and R represents red. The transition diagram can be drawn with arrows between states labeled with the transition probabilities.

(c) There are two classes: {G, Y} and {R}, where {G, Y} is a transient class and {R} is an absorbing class.

(d) Starting with the first light being green, the probabilities after three more lights are:

P(G, G, G, G) = 0.60 * 0.60 * 0.60 = 0.216

P(G, G, G, Y) = 0.60 * 0.60 * 0.40 = 0.144

P(G, G, G, R) = 0.60 * 0.40 * 0.50 = 0.120

P(G, G, Y, R) = 0.60 * 0.00 * 0.50 = 0.000

P(G, Y, R, R) = 0.00 * 0.50 * 0.30 = 0.000

P(Y, R, R, R) = 0.00 * 0.50 * 0.50 = 0.000

The interpretation of these probabilities is, for example, that the probability of passing through four consecutive green lights is 0.216, and the probability of passing through three consecutive green lights followed by a yellow light is 0.144.

(e) Let p_G, p_Y, and p_R be the proportions of green, yellow, and red lights, respectively. Then we have the system of equations:

0.60 p_G + 0.00 p_Y + 0.40 p_R = p_G

1.00 p_Y + 0.00 p_Y + 0.00 p_R = p_Y

0.30 p_G + 0.20 p_Y + 0.50 p_R = p_R

p_G + p_Y + p_R = 1

Solving this system of equations, we get:

p_G = 0.44

p_Y = 0.14

p_R = 0.42

Therefore, approximately 44% of the street lights are green, 14% are yellow, and 42% are red.

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Answer:

72

Step-by-step explanation:

The estimation of total counters in bag p is 72.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total number of counters is p.

Let's say the number of nonyellow counters is x

Then,

p = 12 + x

Now,

By taking 30 counters 5 were yellow

So,

Fraction of 5 out of 30 ⇒5/30 = 1/6

So since 1/6 fraction of yellow counters is taken it means x counters will also be taken by the same fraction.

So,

1/6 of x ⇒ x/6

So,

5 + (1/6)x = 30

x = 60

So,

p = 12 + 60 = 72

Hence "The estimation of total counters in bag p is 72".

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Answer:

im learning the same thing

Answer:

George Washington was the first president of the United States of America.

Answer: George washington

Step-by-step explanation:

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

\( \sin(60) = \frac{9 \sqrt{3} }{c} \\ \\ c = 18 \)

\( \tan(30) = \frac{a}{9 \sqrt{3} } \\ \\ a = 9\)

Answer:

Step-by-step explanation:

The parallelogram EFGH has the following coordinates at point H: H(x, y) = (6, 4).

Parallelograms are quadrilaterals with two pairs of parallel sides and any quadrilateral can be generated by the knowledge of four vertices. Based on this fact, the following conditions must be observed:

\(\overline {EF} \parallel \overline {GH}\)

The coordinates of the missing vertex can be found by the following vector sum:

F(x, y) - E(x, y) = H(x, y) - G(x, y)

H(x, y) = G(x, y) + F(x, y) - E(x, y)

H(x, y) = (4, 2) + (3, 5) - (1, 3)

H(x, y) = (6, 4)

The coordinates of point H in parallelogram EFGH are H(x, y) = (6, 4).

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The type of symmetry it possesses is: Reflection symmetry about the line x = 7

We are given the coordinates of the vertices of the kite as:

(5, 6), (7, 9), (9, 6) and (7, 1)

Now, looking critically at the kite with the vertices, we can tell that it is a reflection symmetry because reflection symmetry is a type of symmetry related to reflection. Reflection symmetry is also called line symmetry or reflection symmetry. It states that there is at least one line dividing a figure in half, and that one half is the mirror image of the other.

Thus, we conclude that the type of symmetry  it possesses is: reflection symmetry about the line x=7

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Answer:

y = 2/3x + 6

Step-by-step explanation:

First, put the original equation in y = mx + b form

3y = 2x − 3

y = 2/3x - 1

The slope of the other line will also be 2/3, since parallel lines have the same slope.

Plug in this slope and the given point into y = mx + b, and solve for b:

y = mx + b

4 = 2/3(-3) + b

4 = -2 + b

6 = b

Plug in the slope and b:

y = 2/3x + 6 is the equation of the line

The most appropriate choice for maxima or minima will be given by-

Length of field of largest dimension = 1200 ft

Width of field of largest dimension = 600 ft

What is maxima or minima?

Suppose a function is increasing for some values of the domain, changes its slope and then decreases. The point where the function changes slope is the point of maxima of the function.

Suppose a function is decreasing for some values of the domain, changes its slope and then increases. The point where the function changes slope is the point of minima of the function.

Here,

Let the length of the rectangle be l ft. and width of the rectangle be x ft.

Length of fencing = \((x + l + x)\) ft

                              = \((2x + l)\) ft

By the problem,

\(2x + l = 2400\\l = 2400 - 2x\)

Area  of the field (A) = \(lx\) sq. ft

                            =\((2400 - 2x)x\)

                            = \(2400x - 2x^2\) sq.ft

\(\frac{dA}{dx} = \frac{d}{dx}(2400x - 2x^2)\\2400 - 4x\)

\(\frac{dA}{dx} = 0\)

\(2400 - 4x = 0 \\4x = 2400\\x = \frac{2400}{4}\\\)

\(x = 600\) ft.

For checking maxima or minima double derivative has to be calculated\(\frac{d^2A}{dx^2} = \frac{d}{dx}(2400 - 4x)\\= -4 < 0\)

Hence the area is maximum at x = 600 ft

\(l = 2400 - 2\times 600\\l = 2400 - 1200\\\)

\(l = 1200\) ft.

Length of field of largest dimension = 1200 ft

Width of field of largest dimension = 600 ft

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Complete Question

The diagram has been attached here-

The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Let's denote the price of a student ticket as "s" and the price of an adult ticket as "a".

From the information given, we can set up the following system of equations:

Equation 1: 10s + 20a = 200 (from the first event)

Equation 2: 20s + 25a = 280 (from the second event)

To solve this system of equations, we can use any method, such as substitution or elimination. In this case, let's use the elimination method.

Multiply Equation 1 by 2 to make the coefficients of "s" in both equations equal:

20s + 40a = 400

Now, subtract Equation 2 from this new equation:

(20s + 40a) - (20s + 25a) = 400 - 280

15a = 120

Divide both sides of the equation by 15:

a = 120/15

a = 8

Now, substitute the value of "a" back into Equation 1 to solve for "s":

10s + 20(8) = 200

10s + 160 = 200

10s = 200 - 160

10s = 40

s = 40/10

s = 4

Therefore, the price of one student ticket is $4, and the price of one adult ticket is $8.

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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The optimal point (x, y) can be found by solving the simultaneous equations. The slack for constraint (1) is the difference between the right-hand side and the left-hand side of the inequality, representing the unused capacity in the constraint.

The optimal point (x, y) can be found using the simultaneous equations method. From the given constraints:

2X + 3Y ≤ 240 ...(1)

2X + Y ≤ 120 ...(2)

X, Y ≥ 0

To find the optimal point, we need to solve these two equations simultaneously. By solving equations (1) and (2), we can find the values of X and Y that satisfy both constraints. Once we have the values of X and Y, we can substitute them into the objective function (profit function) to determine the maximum profit.

To find the slack for constraint (1), we need to evaluate the difference between the left-hand side (LHS) and the right-hand side (RHS) of the inequality. In this case, the slack for constraint (1) is calculated as:

Slack for constraint (1) = RHS - LHS = 240 - (2X + 3Y)

The slack represents the amount of unused resources or capacity in the constraint. It tells us how much "slack" or leeway we have in the constraint before it becomes binding. If the slack is positive, it means that the constraint is not fully utilized and there is room for improvement. If the slack is zero, it indicates that the constraint is exactly satisfied. If the slack is negative, it implies that the constraint is violated and adjustments need to be made.

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On the arranged survey, the statistical margin of error is supposed to be 14.73 SEK.

In a large consumer survey, 610 randomly selected customers are interviewed in a large grocery store. They are asked, among other things, how much they have shopped for. On average, they have shopped for 412 SEK with a standard deviation of 181 SEK .

Estimate with a 95% confidence interval the average purchase amount in the entire population. The formula for finding the margin of error is given as;

Margin of Error = z * (σ/√n)

Where:

σ is the standard deviation

n is the sample size

z is the Z-score for the desired confidence level, which is 95%.

Z-score corresponding to 95% confidence level is 1.96

Margin of Error = 1.96 * (181/√610) = 14.73

The statistical margin of error is 14.73 SEK.

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The x-intercept of the function are at (0, 0) and (2, 0). Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The function f is given by f(x) = x² – 2x.

f(x) = 0

On factorization, we have

x² – 2x = 0

(x – 2)x = 0

x = 0, 2

For x = 0, the function f(x) will be

f(x) = 0² – 2(0)

f(x) = 0

For x = 2, the function f(x) will be

f(x) = 0² – 2(2)

f(x) = 4 – 4 = 0

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Como se puede ver, el gasto del canal calculado con el método de integración gráfica coincide con el caudal transportado, por lo que el cálculo es correcto.

El caudal transportado es el volumen (m3) de agua que fluye a través de una sección transversal de un canal por unidad de tiempo, en este caso es de 18.4m3/s. La pendiente de fondo es la pendiente de la superficie de fondo de un canal, en este caso es de 0.022. El coeficiente de rugosidad es una medida de la rugosidad del canal, en este caso es de 0.024.

Para calcular el gasto del canal utilizando el método de integración gráfica, se usa la siguiente fórmula:

Q = A*(S^(1/2))*C*(L^(2/3))

Donde Q es el gasto en m3/s, A es el área de sección transversal del canal en m2, S es la pendiente de fondo en m/m, C es el coeficiente de rugosidad del canal y L es la longitud del canal en m.

En este caso, el área de sección transversal es de 18.4m2, la pendiente de fondo es de 0.022 m/m, el coeficiente de rugosidad es de 0.024 y la longitud del canal es de 400m.

Utilizando los datos anteriores, el gasto del canal es de:

Q = 18.4 * (0.022^(1/2)) * 0.024 * (400^(2/3))

Q = 18.4 * 0.05 * 0.024 * 8.93

Q = 18.4m3/s

Como se puede ver, el gasto del canal calculado con el método de integración gráfica coincide con el caudal transportado, por lo que el cálculo es correcto.

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The linear equation to represent the value of the car in terms of the year will be c = 64000 - 5000y

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

In this situation, the upfront cost of a Porsche is 64K and at the end of 12 Years, the car is worth only $4000.

The difference in amount will be:

= $64000 - $4000

= $60000

Number of years = 12

Amount in depreciation per year = $60000 / 12

= $5000 per year

The linear equation to represent the value of the car in terms of the year will be:

c = 64000 - 5000y

where c = value

y = number of years

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The Expected Utility Hypothesis (EUH) is an economic theory that proposes individuals make decisions based on maximizing their expected utility, which is a measure of the satisfaction or happiness they derive from an outcome.

The EUH assumes that individuals are rational decision-makers who consider the probabilities and utilities associated with different outcomes when making choices.

The EUH is based on several key assumptions. First, individuals are assumed to have well-defined preferences that can be represented by a utility function. The utility function assigns a numerical value to each possible outcome, reflecting the individual's subjective preference or satisfaction level. Second, individuals are assumed to make choices by evaluating the expected utility of each alternative. The expected utility is calculated by multiplying the utility of each outcome by its respective probability and summing up these values. Third, individuals are assumed to have a preference for risk-aversion, meaning they would prefer a certain outcome with a lower expected utility over a risky outcome with a potentially higher expected utility.

The strengths of the EUH lie in its logical and consistent framework for decision-making under uncertainty. It provides a clear and intuitive way to model individual choices by incorporating both probabilities and utilities. The EUH has been influential in many fields, including economics, finance, and psychology, and has served as a basis for further research and theories.

However, the EUH has also faced criticisms and has been subject to empirical challenges. One weakness is that the assumptions of well-defined preferences and utility maximization may not always accurately reflect human decision-making behavior. Research has shown that individuals often deviate from the predicted behavior of the EUH, exhibiting biases and inconsistencies in their choices.

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Answer: 128 - 48 equals 80. 80 - 35 equals 45. That means the answer is 45.

Step-by-step explanation:

The probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

If you and your friend each roll two dice, there are two possible cases:

You both roll doubles (i.e., both dice show the same number).

You both roll non-doubles (i.e., the two dice show different numbers).

Let's calculate the probability of each case separately:

The probability of rolling doubles on one die is 1/6, since there are six possible outcomes (1, 2, 3, 4, 5, or 6) and only one of them will result in doubles. The probability of rolling doubles on both dice is the product of the probabilities of rolling doubles on each die, which is (1/6) * (1/6) = 1/36. Therefore, the probability that you and your friend both roll doubles is (1/36) * (1/36) = 1/1296.

The probability of rolling non-doubles on one die is 5/6, since there are five possible outcomes (2, 3, 4, 5, or 6) that will result in non-doubles, out of a total of six possible outcomes. The probability of rolling non-doubles on both dice is the product of the probabilities of rolling non-doubles on each die, which is (5/6) * (5/6) = 25/36. Therefore, the probability that you and your friend both roll non-doubles is (25/36) * (25/36) = 625/1296.

Therefore, the overall probability that you and your friend both have the same two numbers is the sum of the probabilities of the two cases:

1/1296 + 625/1296

= 626/1296

= 0.4823 (rounded to four decimal places)

So, the probability that you and your friend both have the same two numbers is approximately 0.4823, or about 48.23%.

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The correct statement that represents the arithmetic sequence for the amount of pennies that Jamie puts into the jar on day d is given by:

D. f(d+1)= f(d)+5

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d, hence, the relation can always be represented by:

f(n + 1) = f(n) + d

Researching the problem on the internet, it is found that:

Hence, the common difference is d = 15 - 10 = 10 - 5 = 5, and option D is correct.

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Answer:

AC = 12.6

AB = 49.8

C = 73°

Step-by-step explanation:

(B/sin(14)) = (52/sin(93))

B = (52*sin(14))/sin(93)

B = 12.6

(C/sin(73)) = (52/sin(93))

C = (52*sin(73))/sin(93)

C = 49.8

ahmed got a better buy because he got toy for $4.1 each while robert got 3 for $4.3 each

Answer:

Ahmed

Step-by-step explanation:

for Robert, one toy cost = $12.6 ÷ 3

                                        = $4.2

for Ahmed, one toy cost = $20.5 ÷ 5

                                         = $ 4.1

As Ahmed spent less money per toy, he got the better buy.

Answer:↓↓↓

Step-by-step explanation:

We are given that side AB is congruent to BD. We are also given that side AC is congruent to CD.

We know that side BC and side CB are congruent because of the Reflexive property.

Therefore, ΔABC and ΔDBC are congruent because of SSS Postulate.

Hope this helped!

Answer:

(4, -8) or x=4 y=-8

Step-by-step explanation:

Answer: x=4 and y=−8

Step-by-step explanation: 7x+2y=12, −3x−2y=4

7x+2y+−2y=12+−2y

7x /7 = −2y+12 /7

x= −2 /7 y+ 12 /7

−3( −2 /7 y+ 12 /7 )−2y=4

−8 /7 y+ −36 /7 + 36 /7 =4+ 36 /7

−8 /7 y / /−8/7 = 64 /7 /−8 /7

y=−8

x= −2 /7 y+ 12 /7

x= −2 /7 (−8)+ 12 /7

x=4

x=4 and y=−8

For the given line RC is parallel to TN with KH is transversal and HX ≅ XK then by ASA congruency triangles ΔRXH ≅ ΔNXK.

As given in the question,

In the given diagram,

Line RC is parallel to TN with KH is transversal

HX ≅ XK

In the triangles ΔRXH and ΔNXK we have,

Line RC is parallel to TN with KH is transversal

m ∠RHX = m ∠NKX ( alternate angles )

HX ≅ XK  ( given )

m ∠RXH  = m ∠NXK ( Vertically opposite angles )

By Angle side Angle (ASA) congruency we have,

ΔRXH ≅ ΔNXK

Therefore, for the given line RC is parallel to TN with KH is transversal and HX ≅ XK then by ASA congruency triangles ΔRXH ≅ ΔNXK.

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Answer:

Step-by-step explanation:

find the two points and do "rise over run" to fins the slope.

the y-intercept is the point on the y-axis

(0, 3) and (-5, 5)

slope is 2/5

y-intercept is 3

y = 2/5x + 3