If the meeting started at 12:15pm and it took 55 minutes what time did they finish?

Probability of receiving a hand with exactly three suits \(= (4 * (13^3)) / 2,598,960\)

What is Combinatorics?

Combinatorics is a branch of mathematics that deals with counting, arranging, and organizing objects or elements. It involves the study of combinations, permutations, and other related concepts. Combinatorics is used to solve problems related to counting the number of possible outcomes or arrangements in various scenarios, such as selecting items from a set, arranging objects in a specific order, or forming groups with specific properties. It has applications in various fields, including probability, statistics, computer science, and optimization.

To calculate the probability of receiving a hand with exactly three suits when dealt 5 cards from a well-shuffled deck of cards, we can use combinatorial principles.

There are a total of 4 suits in a standard deck of cards: hearts, diamonds, clubs, and spades. We need to calculate the probability of having exactly three of these suits in a 5-card hand.

First, let's calculate the number of favorable outcomes, which is the number of ways to choose 3 out of 4 suits and then select one card from each of these suits.

Number of ways to choose 3 suits out of 4: C(4, 3) = 4

Number of ways to choose 1 card from each of the 3 suits\(: C(13, 1) * C(13, 1) * C(13, 1) = 13^3\)

Therefore, the number of favorable outcomes is \(4 * (13^3).\)

Next, let's calculate the number of possible outcomes, which is the total number of 5-card hands that can be dealt from the deck of 52 cards:

Number of possible outcomes: C(52, 5) = 52! / (5! * (52-5)!) = 2,598,960

Finally, we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:

Probability of receiving a hand with exactly three suits =\((4 * (13^3)) / 2,598,960\)

This value can be simplified and expressed as a decimal or a percentage depending on the desired format.

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The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.

By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.

Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.

Therefore,

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

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The probability that a student is in choir, given that the student is in the school musical is (c) 56%

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

School musical and choir = 18%

School musical = 32%

The requird probabilty is calculated as

P = School musical and choir/School musical

Substitute the known values in the above equation, so, we have the following representation

P = 18%/32%

Evaluate

P = 56%

Hence, the probability is (c) 56%

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The series 16+24+36+54+... diverges.

Divergent series are those that contain an infinite series that never converges and an infinite sequence of partial sums with no finite limit. In contrast, a series is considered to be convergent when its limits converge to its finite range of values. A limit that is finite in nature and exists for the partial sum of the series is crucial since only at that point will the series converge.

The given series in question 16 + 24 + 36 + 54 + deviates from the series. 16n, where n is the number of terms, can be used to denote the series' overall term. The total of the terms in the series also increases as n increases since 16n grows along with n, too. This indicates that the series diverges since it does not reach a particular finite value.

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Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

Step-by-step explanation:

Overtime Rate = \(17.70 \times 1\frac{1}{2}\)

                        \(= 17.70 \times \frac{3}{2}\)

                       \(=\frac{53.10}{2}\)

                      \(=\pounds26.55\)

Pay \(=11*26.55=\pounds 292.05\)    (I assume you can use a calculator for this)

Solution: \(\pounds 292\)

The results of dividing 1 into pieces that are each 1/9 of a whole is 9

1 ÷ 1/9

1 ÷ 1/9

= 1 × 9/1

= (1 × 9) / (1 × 1)

= 9/1

= 9

Complete question:

If 1 is divided into pieces that are each 1/9 of a whole, how many pieces are there

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Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

Answer:

a. True

Step-by-step explanation:

Calculus is the mathematical study of continuous change. Calculus is usually developed by working with very small quantities. Calculus has two major branches, which are,  differential calculus and integral calculus. Differential calculus involves instantaneous rates of change, and the slopes of curves, while integral calculus deals with the accumulation of quantities, and areas under or between curves.

Therefore , the solution of the given problem of triangle comes out to be x = Tan⁻¹(15/8) .

Because a triangle has two or so more extra parts, it is a polygon. It has a straightforward rectangular shape. Only two of a triangle's three sides—A and B—can differentiate it from a regular triangle. Euclidean geometry produces a single area rather than a cube when boundaries are still not perfectly collinear. Triangles are defined by their three sides and three angles. Angles are formed when a quadrilateral's three sides meet. There are 180 degrees of sides on a triangle.

Here,

Given :

=> AS =15 and AN = 8

So,

We have to find m∠N = x

=> Tanx = 15/8

=> x = Tan⁻¹(15/8)

Therefore , the solution of the given problem of triangle comes out to be  x = Tan⁻¹(15/8) .

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Answer:

4

Step-by-step explanation:

Because when 1,234 is x by 5,6780=7 million,6thousand and 652 so when that is divided by 5 it=1,401,330 with r 4.

Hope this helps have a great afternoon:)

Answer:

2

Thanks!

Answered by: FieryAnswererGT

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By answering the presented question, we may conclude that As a result, equation the final score is 3/5.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

1/5 times 3 Equals (1/5) * 3

To answer this expression, we may apply the multiplication rule of fractions, which states that to multiple two fractions, multiply their numerators first and then their denominators. Therefore:

(1/5) * 3 = (1 * 3) / (5 * 1)

We obtain by simplifying the numerator and denominator:

3/5

As a result, the final score is 3/5.

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Pilot should take reverse bearing, calculated using atan2(East,North),converted in degrees.

What is radian ?

A radian is a unit of measurement for angles. It is defined as the ratio of the length of an arc of a circle to the radius of that circle. One radian is approximately 57.3 degrees. Radians are often used in mathematics, physics, and engineering because they allow for a more natural way of measuring angles and help simplify certain calculations.

To find the bearing, we can use the formula ,

Bearing = atan2(East, North)

Where East is the number of miles east of the airport and North is the number of miles north of the airport.

The atan2 function is a variation of the arctangent function, which returns the angle (in radians) whose tangent is the quotient of its two arguments. This function is defined for all real arguments and returns a value between -π and π.

So you can convert the bearing from radians to degrees using the formula ,

degrees = bearing * (180/π)

Pilot should take reverse bearing, calculated using atan2(East,North),converted in degrees.

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Answer:

6.8 miles

Step-by-step explanation:

a^2+b^2=c^2

Answer:

Step-by-step explanation:

The product of the slopes of two non-vertical perpendicular lines is always -1.

It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.

The definition of perpendicular lines is lines that intersect and at the point of intersection they form a right angle of 90°.

In determining the gradient of two mutually perpendicular when multiplied it will produce the number -1. So the formula used is:

y = mx + c

Meanwhile, the gradient formula is m1 = -1/m2.

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Answer:

Answer:

The correct answer is D.

Step-by-step explanation:

D. Yes, all of the conditions for inference are met.

A large t-statistic indicates a greater difference between the sample means and provides stronger evidence for a significant difference between the populations.

The t-statistic is a measure of the difference between two sample means relative to the variability within the samples. When the population means are different, the difference between the sample means will tend to be larger, which will result in a larger numerator in the t-statistic formula. The larger the difference between the sample means, the greater the evidence for a difference between the populations. In contrast, if the population means are similar, the difference between the sample means will be smaller, resulting in a smaller numerator and a weaker test of significance.

The denominator of the t-statistic formula is the standard error of the mean, which measures the variability of sample means around the population mean. If the sample size is large enough, the standard error of the mean will be small, resulting in a smaller denominator and a larger t-statistic. Therefore, when the population means are different, a larger t-statistic would be expected due to a combination of a larger numerator and a smaller denominator.

In summary, If the population means are different, a large t-statistic would be expected.

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Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

Given:

Principal Amount, P = $4,400

Interest rate, r = 90%

Here, Camilla needs to create an exponential equation that allows her tract the interest earned over time.

This is a Compound interest problem.

To find create an exponential equation, apply the formula below:

WHere:

P is the principal amount = $4,400

r is the rate = 90% = 0.90

t is the time (number of years)

Input values into the equation above:

Therefore, the exponential equation that allows her to track the interest earned over time is:

Plugging the value for the number of years for t, you will get the interest earned over time, t.

ANSWRER:

Apples: $1.30 per pound

Oranges: $1.84 per pound

1+1/2 pound of oranges: $2.76

1+1/2 pound of apples: $1.95

The cost of 1 1/2 pounds of oranges is 2.76 and the cost of 1 1/2 pounds of apples is 1.95, therefore ...

The cost of 1 1/2 pounds of oranges is $0.81 more than the cost of 1 1/2 pounds of apples

1) angle UWV

2) angle VWU

Answer: \(P=6(2)^{w-1}\)

Step-by-step explanation:

Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.

In geometric progression, nth term  = \(ar^{n-1}\)

Substitute  r= 2 , a= 6 and n=w, we get

wth term = \(6(2)^{w-1}\)

The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:

\(P=6(2)^{w-1}\)

The graph of the function is given below.

The function is a continuous function.

The range of the function is 4, 5, 6, 7, and 8.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = -(1/2)x + 6

Domains = -4, -2, 0, 2, 4

Now,

y = f(x)

f(x) = -(1/2)x + 6

For x = -4, -2, 0, 2, 4

f(-4) = -(1/2) x -4 + 6 = 2 + 6 = 8

f(-2) = -(1/2) x -2 + 6 = 1 + 6 = 7

f(0) = -(1/2) x 0 + 6 = 0 + 6 = 6

f(2) = -(1/2) x 2 + 6 = - 1 + 6 = 5

f(4) = -(1/2) x 4 + 6 = - 2 + 6 = 4

The range of the function is 4, 5, 6, 7, and 8.

Thus,

The graph of the function is a straight line.

So,

The function is a continuous function.

The range of the function is 4, 5, 6, 7, and 8.

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Answer:

6

Step-by-step explanation:

391/23=17 per hour

102/17=6 Hours

So he would have to work 6 hours to earn $102.00.

Ideal group size is 5 to 7 members, for work, social, and academic groups. Optimal interaction, decision-making, problem-solving, and logistics are possible, with reduced conflicts and power struggles.

The ideal group size is a topic that has been widely studied by communication researchers. While there is no universally agreed-upon answer, many researchers suggest that a group size of 5 to 7 members is optimal for a range of different types of groups, including work teams, social groups, and academic groups. One reason why this group size is considered ideal is that it allows for optimal interaction and participation. In small groups, each member has a greater opportunity to speak and be heard, and there is less likelihood of individuals being drowned out or overlooked. This can lead to more productive and satisfying group interactions, as well as increased engagement and motivation among group members.

Another reason why a group size of 5 to 7 members is preferred is that it allows for effective decision-making and problem-solving. In larger groups, it can be difficult to achieve consensus or to reach a decision that reflects the needs and perspectives of all members. Conversely, groups that are too small may lack diversity of thought and expertise, which can limit the range of possible solutions or approaches to a problem.

In addition to these benefits, a group size of 5 to 7 members may also be more manageable in terms of logistics and group dynamics. For example, it may be easier to schedule meetings and coordinate group activities with a smaller group, and there may be less potential for conflicts or power struggles to arise among members.

It's worth noting that while a group size of 5 to 7 members is often recommended, there are certainly situations in which larger or smaller groups may be appropriate or necessary. For example, certain types of projects or initiatives may require a larger pool of resources or expertise, while others may benefit from a more intimate and tightly-knit group dynamic. Nonetheless, the research suggests that a group size of 5 to 7 members is a good starting point for most types of groups.

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