2) For the following data, approximate the median number of unused vacation days at the end of the year: Days frequency 1-2 4 3-4 10 5-6 8 7-8 2 Total 24 A) 4.1 B) 5.5 C) 3.3 D) 2.9

The answer is , the conditional probability that an even-numbered card is picked given that the 2 is picked is 1/2 or 0.5.

The conditional probability that an even-numbered card is picked given that the 2 is picked can be calculated using the formula for conditional probability.

Let's assume there are 52 cards in the deck, with half of them being even-numbered (26 cards) and 4 of them being twos (2 of which are even-numbered).

To find the conditional probability, we need to divide the number of favorable outcomes (even-numbered cards that are twos) by the total number of possible outcomes (all twos).

Therefore, the conditional probability can be calculated as:

Conditional Probability = Number of favorable outcomes / Number of possible outcomes

Conditional Probability = 2 / 4

Simplifying the fraction, we get:

Conditional Probability = 1/2

So, the conditional probability that an even-numbered card is picked given that the 2 is picked is 1/2 or 0.5.

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The mode of the survey results is 6 hours, as this was the most commonly reported number of hours of video games played in the previous week.

The mode of the survey results is the most frequently occurring number of hours of video games played in the previous week. In this survey, the most commonly reported number of hours played was 6. This is because 9 students reported playing 6 hours of video games in the previous week, which is the highest number of students reporting any single amount of hours played. The other numbers of hours played were reported less often, with 2 students reporting 5 hours, 4 students reporting 2 hours, 2 students reporting 1 hour, and 3 students reporting 0 hours. Therefore, the mode of the survey results is 6 hours.

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Answer:

Reflection.

Step-by-step explanation:

Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.

On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.

At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.

Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.

Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection.

Answer:

Closed side up : 5/50

1/50 = open side up

44/50 = landing side

experimental probablity Formula:

no. of times event was conducted/ Total no. of times experiment was conducted.

Let's first start with open side up.

No. times it was conducted was 1.

Total no times experiment conducted:  50 times

1/50 = open side up

Closed side up

No. times it was conducted was 5

Total no times experiment conducted:  50 times

5/50

The same for landing on side :

44/50

Have a wonderful day!!

The experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side) is  given as:

\(P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\\)

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

\(P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}\)

where, \(P_e(E)\) is denoting experimental probability of occurrence of E.

For the given case, if we name the events for results of tossing of paper cup as:

Then, as it is given that:

Number of times paper cup was tossed = 50

Thus, their experimental probabilities are obtained as:

\(P_e(A) = \dfrac{1}{50} = 0.02\\\\P_e(B) = \dfrac{4}{50} = 0.08\\\\P_e(C) = \dfrac{44}{50} = 0.88\\\\\)

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The value of the variable x in first figure will be 15.

The value of the variable x in second figure will be 20.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

There are two figure is shown in figure.

Now,

In first figure;

The sum of all the interior angle in a triangle is 180°.

So, We can formulate;

⇒ (6x - 10)° + (2x + 20)° + (3x + 5)° = 180°

Solve for x as;

⇒ (6x - 10)° + (2x + 20)° + (3x + 5)° = 180°

⇒ 6x - 10 + 2x + 20 + 3x + 5 = 180°

⇒ 11x + 15 = 180

⇒ 11x = 180 - 15

⇒ 11x = 165

⇒ x = 15

Thus, The value of the variable x in first figure will be 15.

For second figure;

We can formulate by the corresponding angle of the parallel lines as;

⇒ x + 50 = 70

⇒ x = 70 - 50

⇒ x = 20

Thus, The value of the variable x in second figure will be 20.

Therefore,

The value of the variable x in first figure will be 15.

The value of the variable x in second figure will be 20.

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9514 1404 393

Answer:

  0.4, 0.004, 0.004

Step-by-step explanation:

The "what" in each case is found by dividing the target value by 10. That is accomplished by moving the decimal point one place to the left.

4/10 = 0.4   ⇒   10 times 0.4 = 4

0.04 and .04 are exactly the same value, so the last two on your list are the same:

0.04/10 = 0.004   ⇒   10 times .004 = 0.04

The three-month moving average is calculated by adding up the demand for the past three months and dividing the sum by three.

To calculate the forecast for month four, we need to find the average of the demand over the past three months: 700, 750, and 900.

Step 1: Add up the demand for the past three months:
700 + 750 + 900 = 2350

Step 2: Divide the sum by three:
2350 / 3 = 783.33 (rounded to two decimal places)

Therefore, the forecast for month four, based on the three-month moving average, is approximately 783.33.

Keep in mind that the three-month moving average is a method used to smooth out fluctuations in data and provide a trend. It is important to note that this forecast may not accurately capture sudden changes or seasonal variations in demand.

Answer: B. (2,1)

Step-by-step explanation:

its not c because if you look at R you see that it is going 4,3 not 3,4 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then the x-axis.

It's not D because if you look at Q you see that it is going 3,5 not 5,3 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then x-axis.

That's the same thing for A so your answer is b.

Answer:

B.......................

Answer:

A: \(f(x)\leq -2\)

Step-by-step explanation:

After graphing the equation, the highest point is (-1,-2). Since f(x) is the 2nd number in the coordinates (x, f(x)), the range is \(f(x)\leq -2\)

Given:

As, this is right angled triangle

So, the side XZ = 5.7 ( nearest to tenth)

On average, approximately 3.152 customers will be waiting in the queue at the stadium.

To calculate the average number of customers waiting in the queue, we can use the queuing theory formulas. The arrival rate of customers is given as 180 per minute, which means the arrival rate is λ = 180/60 = 3 customers per second. The service time is given as an average of 21 seconds per customer, so the service rate is μ = 1/21 customers per second.

To calculate the utilization factor (ρ), we divide the arrival rate by the service rate: ρ = λ/μ. In this case, ρ = 3/1/21 = 9.857.

Next, we calculate the coefficient of variation for arrival time (C_a) and service time (C_s) using the given values. C_a = 13% = 0.13 and C_s = 13% = 0.13.

Using the queuing theory formula for the average number of customers waiting in the queue (L_q), we have L_q = ρ^2 / (1 - ρ) * \((C_{a}^2 + C_{s}^2)\) / 2.

Plugging in the values, L_q = \((9.857^2) / (1 - 9.857) * (0.13^2 + 0.13^2) / 2 = 3.152\).

Therefore, on average, approximately 3.152 customers will be waiting in the queue at the stadium.

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The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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The volume of the figure is the sum of the volume of the square prism and the volume of the square pyramid which is 67.2cm³

To calculate the volume of the figure, we need to find the volume of the square prism and the volume of the square pyramid.

The volume of a square prism is given as;

V = L³

V = 4³

V = 64cm³

The volume of the square pyramid is given as;

V = 1/3lh

V = 1/3 * 4 * 2.4

V = 3.2cm³

The volume of the figure is 64cm³ + 3.2cm³ = 67.2cm³

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According to the scree plot, if we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

The scree plot is a diagnostic tool in factor analysis that aids in determining the number of significant factors to retain. It plots eigenvalues against factor number, with the first factor representing the highest variance in the data set.

The scree plot represents the eigenvalues of the factors. The total variance in the original dataset can be expressed as the sum of the eigenvalues of the factors. If we choose to retain fewer factors, the overall variance preserved will be less, resulting in less precise results.

If we want to keep the most variance possible while maintaining a reasonable level of abstraction, we can look at the scree plot's “elbow.” This represents a point on the scree plot where the eigenvalues decrease dramatically.

Therefore, We should retain all of the factors to the left of the elbow, as they represent the most significant eigenvalues that account for the most variance in the data. If we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

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Answer:

q = 10

Step-by-step explanation:

-3(q - 7) = -9

-3q + 21 = -9

-3q = -9 - 21

q = -30/-3

q = 10.

Answer:

\(34.5575191895\)

Step-by-step explanation:

\(2\pi r(180/360)\\2\pi *11*1/2\\=11\pi\)

The arc length of the semicircle is half the circumference i.e., 11π.

The circumference is the perimeter of a circle.

Formula of Circumference = 2πr.

= Arc length of a semicircle  

= half of the circle's circumference

= 2πr/2

= πr

=11r

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Answer:

-4.192

Step-by-step explanation:

Answer:

      Alan's earnings   = $296

Shannon's earnings   = $ 444

Step-by-step explanation:

For every $4 Alan earns Shannon earns $6.

So, the ratio of earnings of Alan : Shannon = 4 : 6

Alan's earning = 4x

Shannon's earning = 6x

Total earnings = $ 740

Equation:

          4x + 6x  = 740

                   10x = 740

                       x = 740/10

                       x = 74

      Alan's earnings = 4 *74 = $296

Shannon's earnings = 6*74 = $ 444

Answer: 9:13

Step-by-step explanation:

4+9= 13

so our total is 13, and there are 9 daffodils

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Step-by-step explanation:

y=5x+1 ---> 1

4x+y=10 -----> 2

Put the value of y from 1 in 2,

4x+5x+1 = 10

9x+1=10

Subtract 1 from both the sides,

9x= 9

Divide by 9,

x=1

Put the value of x in 1,

y=5*1 + 1 = 5+1 = 6

So, x=1 and y=6

Answer:

24

Step-by-step explanation:

if u subrtact 207-15 u will have 192 i divided that by 8 and got 24

Answer: -4 and 9

Step-by-step explanation:

1. 4x+36

2. -6x+12

and aww your pfp

The five dealers included in the sample are: Dealer 02: 05, Dealer 06: 28, Dealer 09: 38, Dealer 03: 08, Dealer 11: 66

To select a random sample of five dealers from the given random numbers, we need to use a method known as random sampling without replacement, which ensures that no dealer is selected more than once.

Here are the steps to select a random sample of five dealers from the given random numbers:

Step 1: List all the dealers using the given random numbers in ascending order.02, 05, 08, 20, 21, 28, 29, 31, 38, 49, 59, 66

Step 2: Assign each dealer a number between 01 and 12. Dealer 01 corresponds to 02, dealer 02 corresponds to 05, dealer 03 corresponds to 08, and so on.

Step 3: Generate five random numbers between 01 and 12 using a random number generator or by drawing numbers from a hat. For instance, let's assume that the five random numbers we get are 02, 06, 09, 03, and 11.02 corresponds to dealer 05, 06 corresponds to dealer 28, 09 corresponds to dealer 38, 03 corresponds to dealer 08, and 11 corresponds to dealer 66.

Therefore, the five dealers included in the sample are: Dealer 02: 05, Dealer 06: 28, Dealer 09: 38, Dealer 03: 08, Dealer 11: 66

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If the two firms do not cooperate, the payoff that North Springs and South Springs receive in the dominant-strategy equilibrium and the Nash equilibrium would depend on the specific game or scenario being played. Without more information about the specific game being played and the strategies of the two firms, it is impossible to provide a definitive answer.

However, in general, the dominant-strategy equilibrium refers to the situation where each player chooses their best strategy, regardless of what the other player does. The Nash equilibrium refers to the situation where each player chooses their best strategy given what the other player is doing. In some cases, the dominant-strategy equilibrium and the Nash equilibrium may be the same, but in other cases, they may differ.

So, in order to determine the payoff that North Springs and South Springs receive in these equilibria, more information about the game being played and the strategies of the two firms would be needed.
Based on the information given, we can analyze the payoff for both North Springs and South Springs firms in the dominant-strategy equilibrium and the Nash equilibrium.

Dominant-Strategy Equilibrium:
1. Identify each firm's dominant strategy (the best response regardless of the other firm's action).
2. Combine the dominant strategies for both firms to find the outcome.

Nash Equilibrium:
1. Identify each firm's best response given the other firm's action.
2. Find the outcome where both firms are simultaneously choosing their best responses.

Without specific numerical payoffs, I cannot provide the exact payoff amounts. However, once you have the payoff matrix, you can follow the steps mentioned above to find the payoffs for North Springs and South Springs in the dominant-strategy equilibrium and the Nash equilibrium.

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Answer: you add them all up

Step-by-step explanation: you can get the answer from above and dont trust this answer.

Answer:

18.75

Step-by-step explanation:

5/v=2/7.5

2v=37.5

False. Convenience samples are not always appropriate for identifying research participants, but they can be useful in some cases. For example, if a researcher is interested in studying a particular group of people, such as college students, then a convenience sample of college students may be appropriate. However, it is important to keep in mind that convenience samples are not representative of the general population, so the results of a study using a convenience sample may not be generalizable to the general population.

Here are some of the advantages and disadvantages of convenience samples:

Advantages:

Convenience samples are easy and inexpensive to collect.

Convenience samples can be collected quickly.

Convenience samples can be collected from a variety of locations.

Disadvantages:

Convenience samples are not representative of the general population.

Convenience samples may be biased towards certain groups of people.

Convenience samples may be difficult to generalize to the general population.