Find the absolute maximum value of f(x) = x^3- 3x^2 on the interval -1 (E) 2

Answer:

24/7

Step-by-step explanation:

cos(theta)=24/25

so draw right triangle

you get the length of each side be

7 24 25

(you must draw a picture)

then the answer would be 24/7

The component of the data that a data analyst is most interested in is sample size.

Given,

To prevent results from being skewed or causing incorrect conclusions, we must identify the data element on which the data analyst should concentrate;

The data analyst;

A data analyst looks at data to uncover useful consumer insights and possible applications for the knowledge. They also tell the management of the business as well as other stakeholders of this information.

Although it is advisable for data analysts to have a foundational knowledge of statistics and mathematics, many of their responsibilities can still be carried out without it. However, knowledge in statistics, linear algebra, and calculus is often required for data analysts.

Here,

A data analyst's primary interest in the data is sample size

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In order to advance knowledge of unit personnel on evidence-based practice, it should be addressed first to the unit managers who can provide leadership and support to their staff. Therefore, the correct option is (b) unit managers. However, involving academic experts, experienced staff, and medical librarians is also important to ensure proper utilization of the best available evidence and training of staff.

When finding evidence that shows a need to advance knowledge of unit personnel on evidence-based practice, it should be addressed first to the unit managers. Unit managers are responsible for the overall functioning of the unit and can play a crucial role in implementing evidence-based practices. They can provide leadership and support to their staff in learning and incorporating new evidence-based practices into their daily work. However, it is important to involve academic experts, experienced staff, and medical librarians in the process as well to ensure that the best available evidence is being utilized and that staff members are properly trained on evidence-based practices.

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To find the distance from the airport at point C to the airplane, we can use the concept of trigonometry. Let's label the angles of elevation from airports A and C to the airplane as angle A and angle C, respectively.

Since we know the distance between the two airports (743 meters) and the angles of elevation, we can use the tangent function to calculate the distances from each airport to the airplane.

Let's say the distance from airport A to the airplane is x meters. Using trigonometry, we have:

tan(angle A) = x / 743

Similarly, let's say the distance from airport C to the airplane is y meters:

tan(angle C) = y / 743

Now, we can rearrange the equations to solve for x and y:

x = 743 * tan(angle A)
y = 743 * tan(angle C)

So, the distance from the airport at point C to the airplane is y meters, which is equal to 743 multiplied by the tangent of angle C.

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The probability of selecting a boy from the class is 15/25, or 3/5, since there are 15 boys in a class of 25 students.

When selecting two students randomly without replacement, the probability of selecting a boy on the first draw is 15/25, and the probability of selecting another boy on the second draw (assuming the first student selected was a boy) is 14/24, since there will be 14 boys left out of 24 students remaining.

So the probability of selecting two boys in a row is:

(15/25) * (14/24) = 7/20

Therefore, the probability that both students chosen for the presentation are boys is 7/20, or approximately 0.35.

Step-by-step explanation:

the distance between 2 points is the Hypotenuse of a right-angled triangle with the legs being the x coordinate difference and the y coordinate difference.

so, Pythagoras applies.

c² = a² + b²

distance² = (2 - -7)² + (11 - 9)² = 9² + 2² = 81 + 4 = 85

distance = sqrt(85) = 9.219544457... ≈ 9.2

The distance between the points A(2,11) and B(−7,9) is d = √85.

There are two points (a, b) and (c, d) then the distance between two points is

d= √(c -a)² + (d-b)²

We have the points A(2, 11) and B(-7, 9).

Using the Distance Formula

d = √(-7-2)² + (9-11)²

d= √(-9)² + (-2)²

d= √81 + 4

d = √85

Thus, the distance between points is √85 unit.

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a. Based on the population data, the researchers found that there was a difference in how many hours per week adult learners and traditional students planned to devote to STAT 200. This suggests that the initial conclusion drawn from the randomization test (null hypothesis not rejected) may have been incorrect.

b. In this case, a Type II error was likely committed. A Type II error occurs when the null hypothesis is not rejected, even though it is false (i.e., there is a difference in the population means). Since the null hypothesis was not rejected initially based on the randomization test, but the population data revealed a difference, it indicates that the researchers failed to detect the true difference in means, leading to a Type II error.

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value of given expression = 48

The order of operations is a rule that specifies the correct steps for evaluating mathematical expressions. We can remember the order with PEMDAS -

Parentheses, exponents, multiplication and division (left to right), addition and subtraction (left to right).  

Given expression,

9 - 4 ÷ (2 + 2) + 2³ . 5

By PEMDAS rule

First solving parentheses

= 9 - 4 ÷ 4 + 2³ . 5

then solving exponent

= 9 - 4 ÷ 4 + 8 . 5

Now solving multiplication

= 9 - 4 ÷ 4 + 40

Now solving division

= 9 - 1 + 40

Now solving addition

= 49 - 1

Now solving subtraction

= 48

Hence, 48 is the value of the expression.

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When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Effective presentation characteristics include speaking style, storytelling, audience engagement, and enthusiasm. To convey technical information, visual aids and multimedia can be used. Keeping presentations brief and straightforward maintains audience attention. Understanding the audience's background is important. Dealing with distractions involves polite addressing and refocusing.

Overcoming the fear of public speaking requires preparation and practice.

3.1 The presentation characteristics that might influence Elizabeth and John's performances include their delivery style, tone of voice, use of storytelling, engagement with the audience, slide design, and ability to make information memorable and impactful.

Elizabeth's sluggish manner, monotone voice, and ineffective slide design contribute to her unimpressive performance. In contrast, John's engaging storytelling, humor, direct communication, and focus on audience enjoyment make him an excellent presenter.

3.2 When conveying technical, complicated, and abstract information in the IT industry, other communication tools can aid the situation. These tools may include visual aids such as slides, diagrams, charts, and graphs to illustrate complex concepts.

Demonstrations or simulations to provide hands-on experiences, interactive workshops or exercises to engage participants, and multimedia presentations incorporating videos or animations to enhance understanding and retention of information.

3.3 The guideline of keeping presentations brief and straightforward is important because it helps maintain audience attention and prevents information overload.

By focusing on key points and avoiding excessive details, presenters can effectively convey their message in a concise manner. This guideline ensures that the audience can grasp and retain the essential information without feeling overwhelmed or disengaged.

3.4 Understanding the audience is crucial in giving a presentation. Presenters need to know the audience's background knowledge, interests, needs, and expectations.

This information helps tailor the content, language, and examples to resonate with the audience, making the presentation more relevant and engaging.

Knowing the audience also allows presenters to anticipate potential questions, concerns, or objections and address them proactively.

3.5 To deal with distractions during a presentation, presenters can employ several strategies. They can politely address noise makers and request them to maintain silence.

Irrelevant questions can be redirected or politely deferred to the end of the presentation. Interruptions or objections can be acknowledged and addressed respectfully, either immediately or by promising to address them later.

In case of arguments, the presenter should aim to maintain a calm and professional demeanor, listen attentively, and attempt to find common ground or defuse the situation through rational discussion.

3.6 Overcoming the fear of public speaking can be achieved through various approaches. Preparation and practice play a crucial role, as they build confidence and familiarity with the content.

Deep breathing exercises and positive self-talk can help manage anxiety before and during the presentation. Visualizing a successful presentation outcome and focusing on the audience's benefit rather than personal fears can shift the mindset.

Seeking opportunities for public speaking, starting with smaller or supportive audiences, gradually builds confidence over time. Professional training or joining public speaking clubs can provide valuable guidance, feedback, and support in overcoming the fear of public speaking.

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Answer:

14.57$

Step-by-step explanation:

The required balance in her account after 2 days is $14.57.

Given that,

Account balance ever falls below zero, the bank charges her a fee of $5.95 per day.

Today, the balance in Lin's sister's account is -$2.67.

We have to find,

The balance in her account after 2 days.

According to the question,

If she does not make any deposits or withdrawals, the balance in her account balance after 2 days is = (2)($5.95) = $11.90.

And Today, the balance in Lin's sister's account is -$2.67.

Then, The balance in her account after 2 days = The balance in her account after 2 days + The balance in Lin's sister's account.

= $11.90 + $2.67 = $14.57.

Hence,  The required balance in her account after 2 days is $14.57.

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The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Refer to the images attached.

Answer:

G = 6(2)^n

Step-by-step explanation:

a) At 1 month he will have 12 guppies, at 2 months he will have 24 guppies and at 3 months he will have 48 guppies.

b) G = 6(2)^n

This is following the exponential formula.

c) G = 6(2)^6.5 = 543 guppies

d) At this rate, there will be no room for the guppies to continue growing.

Answer:

x = 17, -3

Step-by-step explanation:

I'm not sure why this is the answer I only know because I've had it before

pretty sure you have to use (b/2) ^2

The complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Rearranging the equation x² - 51 = 14

x²- 14x -51 = 0
x² - 14x + 49 - 49 - 51 = 0
(x - 7)² = 100
x - 7 = √100
x - 7 = ± 10
Taking RHS positive,
x - 7 = 10
x = 17
Taking RHS negative
x - 7 = -10

x = 7 - 10
x = -3

Thus, the complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

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Answer:

1/2 because one part of the stick is black and another is white

Answer:

first * can be any number greater than 6

second * can be any number larger than 16

Step-by-step explanation:

take each part alone:

multiply by 24 in both sides → * > 6

multiply by 4 in both sides → 1 > 16/*

take * to first side → * > 16

there is no specific answers you can go with 8 and 18

Answer:

Solve x/24>1/4 for x.

x>6

Solve 1/4>4/xfor x.

x<0 or x>16

Find the intersection of x>6 and x<0 or x>16 .

x>16

Step-by-step explanation:

4 because I think I guessed

Therefore, the points on the graph where the tangent line is vertical are:

(x, y) = (6, 3)

(x, y) = (-6, 3)

(x, y) = (12, -3)

(x, y) = (-12, -3)

To find the points on the graph where the tangent line is vertical, we need to identify the values of (x, y) that make the derivative of y with respect to x undefined. A vertical tangent line corresponds to an undefined slope.

Given the equation y^3 - 27y = x^2 - 90, we can differentiate both sides of the equation implicitly to find the slope of the tangent line:

Differentiating y^3 - 27y = x^2 - 90 with respect to x:

3y^2 * dy/dx - 27 * dy/dx = 2x.

To find the values where the slope is undefined, we set the derivative dy/dx equal to infinity or does not exist:

3y^2 * dy/dx - 27 * dy/dx = 2x.

(3y^2 - 27) * dy/dx = 2x.

For a vertical tangent line, dy/dx must be undefined, which occurs when (3y^2 - 27) = 0. Solving this equation:

3y^2 - 27 = 0,

3y^2 = 27,

y^2 = 9,

y = ±3.

So, the points where the tangent line is vertical are when y = 3 and y = -3.

Substituting these values of y back into the original equation to find the corresponding x values:

For y = 3:

y^3 - 27y = x^2 - 90,

3^3 - 27(3) = x^2 - 90,

27 - 81 = x^2 - 90,

-54 = x^2 - 90,

x^2 = 36,

x = ±6.

For y = -3:

y^3 - 27y = x^2 - 90,

(-3)^3 - 27(-3) = x^2 - 90,

-27 + 81 = x^2 - 90,

54 = x^2 - 90,

x^2 = 144,

x = ±12.

Ordered from smallest to largest x and then from smallest to largest y:

(x, y) = (-12, -3)

(x, y) = (-6, 3)

(x, y) = (6, 3)

(x, y) = (12, -3)

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According to some reports, the proportion of American adults who drink coffee daily is 0.54. Given that parameter, if samples of 500 are randomly drawn from the population of American adults, the mean and standard deviation of the sample proportion are 0.54 and 0.0223, respectively.

The standard deviation of a population or sample and the standard error of a statistic are quite different, related. The sample mean's standard is the standard deviation . The standard deviation of the set of means that would be found by  an infinite number of repeated samples,  from the population and computing a mean.

The mean's standard out to the equal the population, the standard deviation is divided by the square root of the sample size,  by using the sample standard deviation divided by the square root of the sample size. For a poll's standard is the expected standard deviation of the estimated mean if the same poll were to be conducted multiple times. Thus, the standard error estimates the standard deviation of an estimate, which itself measures how much the estimate depends on the particular sample that was taken from the population.

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Add all her expenses =2024.08

Then divide by 165=12.268

Go with choice 12.27

Answer:

$12.27, B, top left answer thingie on ttm

Step-by-step explanation:

To solve, you need to add her expenses of everything to get 2024.08.

You know she works 165 hours each month, so you need to divide the 2024.08 total expenses by 165 to get her minimum hourly wage. 2024.08/165 = 12.267151515....

You can only have two decimals in money so just round up to make it easier so 12.267151515 ~ 12.27.

Hence 12.27.

Units: Money so $$$$$

$$

O

Hope this helps!

(_) /_)  

(o . o)  

('')_('')

  (\   /)

   ('.')

(")  (")

 (\_/)

(o.o)

(___)0

Answer:

I think it would be either $134.89 or 113.22

Step-by-step explanation:

just from an estimate, I got close to one of these two

In the 2012 Gallup survey, a random sample of 474,195 U.S. adults was interviewed by phone to gather information about their work status, height, and weight.

The objective was to determine the prevalence of obesity (defined as having a body mass index greater than 30) among different work status groups. The survey found that 24.9% of the participants who were employed (either full-time or part-time by choice) were classified as obese. In contrast, 28.6% of the participants who were unemployed and actively seeking work were also found to be obese. This indicates that there may be a relationship between employment status and obesity rates in the U.S. adult population.

However, it is important to note that correlation does not necessarily imply causation, and various factors could contribute to these findings. Further research may be necessary to determine the underlying causes behind the differences in obesity rates among employed and unemployed individuals.

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The value of ∠ADC is,

⇒ ∠ADC =  108°.

Since, We know that,

An angle is combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

In the circle P,

ABCD is inscribed quadrilateral.

And, ∠DAB = 110°,

⇒ ∠ABC = 72°

Hence, To find the value of ∠ADC.

We know that,

Theorem:

A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary that is, sum of the opposite angles will be 180°.

Hence, According to the theorem,

⇒ ∠ABC + ∠ADC = 180°

⇒ ∠ADC + 72 = 180

⇒ ∠ADC = 108°

Therefore, We get;

The value of ∠ADC is 108°.

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Answer: 20 cm

Step-by-step explanation:

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

The allowance time, if the standard time is 234.15 minutes and the basic time is 233.4 minutes is 0.75 minute

To calculate the allowance time, we can use the following formula:

Allowance time = Standard time - Basic time

Thus, Allowance time = 234.15 minutes - 233.4 minute = 0.75 minutes

Therefore, the allowance time is 0.75 minutes.

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Answer:

the answer is y= -3/4 x-3 i do believe

Answer:The juice left in bottle is 0.5 litre

Step-by-step explanation:Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the bottle. 2.