A receptionist named Alec spends 4 minutes routing each incoming phone call. If he routes
4 phone calls, how much time will Alec have spent on the phone in total?

Answer: yes

Step-by-step explanation:

Answer:

I think so

Step-by-step explanation:

I think all numbers are technically natural

Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

Answer:

133.5

This is because transfer it to hours nd then divide and this is what you get

(a) The probability of having two Tails given that at least one of the coins landed Tails is 1/2.

(b) The probability that both coins are from an "I" state is 6/1225, which simplifies to 2/245.

(c) The probability that one of the coins tossed was the Illinois quarter, given that you do not see the name "Illinois", is 49/75.

(d)

Therefore, the PMF of X is:

P(X=0) ≈ 0.4265

P(X=1) ≈ 0.5135

P(X=2) ≈ 0.0565

P(X=4) ≈ 0.0035

(a) To find the probability of having two Tails given that at least one of the coins landed Tails. Let B be the event that both coins landed Tails. Then, the probability we are looking for is P(B|A) = P(B and A)/P(A).

using complement rule: P(A) = 1 - P(neither coin landed Tails) = 1 - P(both coins landed Heads) = 1 - (1/2) * (1/2) = 3/4.

using conditional probability formula: P(B and A) = P(B|A) * P(A) = P(Tails on second coin | Tails on first or second coin) * P(Tails on first or second coin) = (1/2) * 3/4 = 3/8.

Therefore, P(B|A) = P(B and A)/P(A) = (3/8)/(3/4) = 1/2.

(b) There are 50 coins in total, so the sample space has size 50 choose 2 = 1225. There are 4 states whose name begins with "I", so the number of ways to choose two coins from those states is 4 choose 2 = 6. Therefore,

(c) Let B be the event that one of the coins tossed was the Illinois quarter.Then, P(B) = 1/2.

using formula: P(A and B) = P(B|A) * P(A) = P(B and A).

using law of total probability: P(B and A) = P(B and neither coin is Illinois) + P(B and one coin is Illinois) = (48/50) * (1/2) + (1/50) * (1/2) = 49/100.

Therefore, P(B|A) = P(B and A)/P(A) = (49/100)/(3/4) = 49/75.

(d)The number of ways to choose two coins from these states is 7 choose 2 = 21. Let X be the total number of G's in the state names for the two coins that were tossed. Then, X can take on the values 0, 1, 2, 3, or 4.

To find the PMF of X, we need to calculate P(X = k) for each value k.

The probability of getting a sum of 0 G's is therefore:

P(X=0) = 42C2 / 50C2 ≈ 0.4265

The probability of getting a sum of 1 G is therefore:

P(X=1) = 2(6C1 × 44C1 + 6C2) / 50C2 ≈ 0.5135

The probability of getting a sum of 2 G's is therefore:

P(X=2) = 6C2 / 50C2 ≈ 0.0565

The probability of getting a sum of 4 G's is therefore:

P(X=4) = 1 / 50C2 ≈ 0.0035

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The slope of a function determines the consistency in the functions.

The slope of the function is the change in y /change in x .

The slope of the function determines the change in the value of the function. It determines the consistency of the function. If the slope of the function is changing rapidly then it is said to be inconsistent but if the slopes of the function is not changing rapidly then it is said to be consistent.

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Answer:

54 + 28i

Step-by-step explanation:

I hope this helps!!!

The coefficient of correlation is 0.303. There are six positive residuals and four negative residuals. The point with the greatest residual is (6,2), which is also the place with the greatest discrepancy between the projected and actual value.

The scatter plot is given in the question

As per the scatter plot, the coordinates of these points are as follows:

(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).

Compute these points into a calculator, the coefficient is:

0.303.

A residual is defined as the difference between the observed and predicted values, so:

The positive residuals are the points above the line, thus there are six of them.

The points below the line are the negative residuals, so there are four positive residuals.

As a result, the largest residual in absolute value is at the point:

(6,2).

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Answer:

6,5,4 are exterior angles.

Answer:

6,5,4 are exterior angles.

Step-by-step explanation:

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Answer:

A = 1100cm^2

Step by step Explanation:

given the dimensions of width and length of the picture are x+20 by 2x-10 and the frame is a constant 5 cm wider from the edge of the picture to the frame, than the area of the frame is defined as (x+30)(2x)-(x+20)(2x-10) = 30x+200.

If the width is equal to the length which I assume is true if the width is constant.

than x+30=2x, which means x = 30.

if this is true than 30(30)+200 = 1100cm^2

Answer:

42°

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

1) 90-48 = 42

Hope this helps! :)

Answer:

angle I = 42 degree

Step-by-step explanation:

In complementary angles sum of two angles ia always 90 degree.

angle I +angle N=90 degree (since they are complementary)

substitute the value of angle N

angle I + 48 = 90

angle I = 90 -48

angle I =42 degree

Answer: 26

Step-by-step explanation:

lets replace a and b with the numbers provided

2+4(2+4)=2+4(6)=2+24=26

Our expression is

The answer is (-3, -6)

Step-by-step explanation:

turn the x into a y, and the y into a opposite x.

The perimeter of the quadrilateral with sides A, B, C and D is 9.23

The quadrilateral is a shape which has 4 sides, such as square and rectangle.

The perimeter of a quadrilateral is the addition of all sides.

Perimeter = Side A + side B + side C + side D

= 2.56 + 2.22 + 3.01 + 1.44

= 9.23

Therefore, the perimeter of the quadrilateral with sides A, B, C and D is 9.23

Calculate the perimeter of each quadrilateral with sides Side A = 2.56, Side B = 2.22, Side C = 3.01 and Side D = 1.44 and the ratio of the perimeters. round your answers to the hundredths place.

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Statistics is the science of conducting studies to collect, organize, summarize, analyze and draw conclusions from data.

Therefore, the correct option is: c

The statistics it involves using various methods to gather and analyze data to form hypotheses, experiments and draw conclusions. In order to do so, statistics uses a variety of tools and techniques to summarize and analyze data, including descriptive statistics, inferential statistics, and hypothesis testing.

Its main goal is to draw conclusions or make decisions based on data. In order to do so, statistics uses a variety of tools and techniques to summarize and analyze data, including descriptive statistics, inferential statistics, and hypothesis testing.

Additionally, statistics can also be used to monitor, study and report on a subject by looking at different options.

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Let's begin by identifying key information given to us:

Answer:

The SI unit for measuring mass is the kilogram

The correct answer is a) True. In numerical methods, it is often infeasible to compute solutions exactly, so approximations are used to make the computation feasible.

Explanation:

In numerical methods, it is often infeasible to compute solutions exactly, so approximations are used to make the computation feasible. The error incurred by an approximation is the difference between the exact solution and the approximation. Because these techniques frequently rely on iterative methods, numerical error can accumulate rapidly. We can generate inaccuracies in computation when we approximate complex mathematical expressions that are too resource-intensive to compute in terms of runtime and memory resources, which is one source of error in numerical methods. As the statement is correct, the answer a) is the correct answer.

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When 4•12 is compared to 8•6, it can be concluded that →

4 • 12 = 8 • 6.

Comparison in mathematics is used to compare two numbers or expressions in order to find which number or expression is greater or small.

Following symbols are used for comparison →

> (greater than)  

< (less than)

≥ (greater than or equal to)

≤ (less than or equal to)

= (equal to)

Given is the following statement -  4•12 compared to 8•6.

In order to compare both expressions, first we will have to simplify them-

4 • 12 = 48  

8 • 6 = 48

Now, if we compare both the expressions, we can conclude that both are equal.

Therefore, when 4•12 is compared to 8•6, it can be concluded that →

4 • 12 = 8 • 6.

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Answer:

The answer is 224

Step-by-step explanation:

You would have to multiply 45 by 7 which is 315

Then subtract 315 from 987 which equals 672 then divide 672 and 3 which is 224.

Answer:

=224

Please I need a Brainliest

Answer:

5g/cm³

Step-by-step explanation:

A solution to the given system of linear inequalities is (-6, -1).

In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection;

2x + 7y ≤ -14     .....equation 1.

-3x + 5y > 5    .....equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of inequalities is the shaded region below the solid and dashed line, and the point of intersection of the lines on the graph representing each, which is given by the ordered pair (-6, -1).

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When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.

Here are some guidelines for effectively addressing such suggestions:

Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.

Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.

Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.

Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.

Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.

Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.

Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.

Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.

Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.

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The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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The Newton-Raphson algorithm is used to find the root of the equation \(e^{-x^2}\) - \(x^3\) = 0. Three iterations are performed from the starting point x₀ = 1. The estimated root is 0.806553.

The Newton-Raphson algorithm is an iterative method used to find the root of an equation. It involves repeatedly improving an initial guess by using the formula:

xᵢ₊₁ = xᵢ - f(xᵢ)/f'(xᵢ),

where xᵢ is the current approximation, f(xᵢ) is the function value at xᵢ, and f'(xᵢ) is the derivative of the function at xᵢ.

To apply the algorithm to the equation \(e^{-x^2}\) - \(x^3\)= 0, we need to find the derivative of the function. Taking the derivative of \(e^{-x^2}\) gives -2x *\(e^{-x^2}\), and the derivative of \(x^3\) is 3\(x^{2}\).

Starting from x₀ = 1, we can perform three iterations of the Newton-Raphson algorithm to approximate the root. After each iteration, we update the value of x based on the formula mentioned above.

After three iterations, we find that the estimated root is approximately 0.806553.

To estimate the error, we can calculate the difference between the estimated root and the actual root. In this case, the actual root is given as 0.806553. The error can be obtained by taking the absolute value of the difference between the estimated root and the actual root.

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Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

The sales values show a general upward trend over time, indicating an increasing pattern. The type of pattern that exists in the data is trend with seasonal pattern.

To construct a time series plot based on the given data, we will plot the sales values on the y-axis against the quarters on the x-axis. Here is the time series plot:

Year      Quarter    Sales

  1               1             6

  1               2            2

  1               3            3

  1               4            5

  2              1            6

  2              2           3

  2              3           5

  2              4           7

  3              1            7

  3              2           6

  3              3           6

  3              4           8

Based on the time series plot, we can observe a trend with seasonal pattern in the data. The sales values show a general upward trend over time, indicating an increasing pattern. Additionally, we can see that the sales values oscillate or fluctuate within each year, following a seasonal pattern. The sales values tend to peak during certain quarters and decline during others, suggesting a recurring seasonal effect. Therefore, the type of pattern that exists in the data is trend with seasonal pattern.

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