What is the difference between -4 and 6? negative 10, negative 2, 2, or 10​

Answer:

13.8cm

Step-by-step explanation:

formula

b x h / 2

6.9 x 4 / 2

= 13.8

Given:

The figure of a right triangle ABC.

To find:

The trigonometric ratios \(\sin B, \tan A, \cos B\).

Solution:

Using Pythagoras theorem,

\(Hypotenuse^2=Perpendicular^2+Base^2\)

\(AB^2=AC^2+BC^2\)

\((10)^2=(6)^2+BC^2\)

\(100-36=BC^2\)

\(64=BC^2\)

Taking square root on both sides.

\(\sqrt{64}=BC\)

\(8=BC\)

So, measure of BC is 8 units.

Now,

\(\sin \theta=\dfrac{Opposite}{Hypotenuse}\)

\(\sin B=\dfrac{AC}{AB}\)

\(\sin B=\dfrac{6}{10}\)

\(\sin B=\dfrac{3}{5}\)

Similarly,

\(\tan \theta=\dfrac{Opposite}{Adjacent}\)

\(\tan A=\dfrac{AC}{BC}\)

\(\tan A=\dfrac{6}{8}\)

\(\tan A=\dfrac{3}{4}\)

And,

\(\cos \theta=\dfrac{Adjacent}{Hypotenuse}\)

\(\cos B=\dfrac{BC}{AB}\)

\(\cos B=\dfrac{8}{10}\)

\(\cos B=\dfrac{4}{5}\)

Therefore, the required trigonometric ration are \(\sin B=\dfrac{3}{5}, \tan A=\dfrac{3}{4}, \cos B=\dfrac{4}{5}\).

Sample mean of 2.4% or higher is somewhat unlikely to occur by chance alone, and may indicate that the true mean childhood asthma prevalence in the sampled cities is higher than the Population mean of 2.16%.

We can use the Central Limit Theorem (CLT), which states that the sample mean of a sufficiently large sample size from a population with any distribution will be approximately normally distributed. The mean of the sampling distribution of the sample mean will be the same as the population mean, and the standard deviation of the sampling distribution of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

In this problem, we are given that the population standard deviation sigma is 1.27%, the population mean mu is 2.16%, and the sample size n is 34. Therefore, the standard error of the sample mean is:

standard error = sigma / sqrt(n) = 1.27% / sqrt(34) = 0.218%

The probability that the sample mean is greater than 2.4%, we need to standardize the sample mean using the formula:

z = (x - mu) / standard error

where x is the sample mean. Substituting the given values, we get:

z = (2.4% - 2.16%) / 0.218% = 1.10

Using a standard normal table or calculator, we find that the probability of a standard normal random variable being greater than 1.10 is approximately 0.1379. Therefore, the probability that the sample mean is greater than 2.4% is 0.1379, or about 13.79%.

Interpreting this probability, we can say that if we take many random samples of size 34 from the population of 43 cities and compute the sample mean for each sample, about 13.79% of these sample means will be greater than 2.4%. This suggests that a sample mean of 2.4% or higher is somewhat unlikely to occur by chance alone, and may indicate that the true mean childhood asthma prevalence in the sampled cities is higher than the population mean of 2.16%.

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It is false that mobile banner ads perform significantly better than desktop banners.

There is no clear consensus on whether mobile banner ads or desktop banner ads perform better. The effectiveness of banner ads depends on various factors such as the placement of the ad, its design, and the target audience.

However, it is true that mobile usage has been increasing rapidly in recent years, and more people are accessing the internet through their mobile devices than through desktop computers. Therefore, it is important for advertisers to optimize their ads for mobile devices and ensure that they are mobile-responsive.

Nevertheless, it cannot be generalized that mobile banner ads are more effective than desktop banner ads. The effectiveness of an ad should be evaluated on a case-by-case basis, taking into account the specific objectives, target audience, and design of the ad.

Therefore, it is important for advertisers to test their banner ads on both desktop and mobile devices to determine which platform works best for their specific campaign. And the given statement is false.

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The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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The correct sequence of transformations that maps triangle DEF into triangle ABC is:

A 90º rotation about point F, then a translation along the directed line segment FC.

Hence option B is correct.

Transformations in the graph of a function involve operations such as addition, subtraction, multiplication, division, or rules in the format (x,y) -> for rotations, reflections and dilation, and are classified as follows:

For this problem, we have that:

Thus the correct sequence is given by Sequence B, from the last bullet point, due to the precedence of the rotation over the translation.

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Answer:

a. angle 6 and angle 7

b. angle 6 and angle 8

c. angle 3 and angle 1

Step-by-step explanation:

linear pair is two angles that share a base and and add up to 180

vertical angles is the pair of opposite angles formed by two intersecting lines

congruent is the same measure

Answer:

see explanation

Step-by-step explanation:

(a)

A linear pair of angles, are adjacent to each other and sum to 180°

There are 8  linear pairs in the diagram, they are

1 and 2 / 2 and 3 / 3 and 4 / 4 and 1 / 5 and 6 / 6 and 7 / 7 and 8 / 8 and 5

(b)

There are 4 vertical angles in the diagram

1 and 3 / 2 and 4 / 5 and 7 / 6 and 8

Note that vertical angles are congruent

Other congruent angles are

2 and 6 / 3 and 7 / 1 and 5 / 4 and 8 ( All corresponding angles )

4 and 6 / 3 and 5 ( are Alternate angles )

Annika will spend for the interest is $72.

Answer:

$72.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

Answer:

\(\textsf{$x$-intercept}: \quad \left(\dfrac{5}{3},0 \right)\)

\(\textsf{$y$-intercept}: \quad \left(0,\dfrac{5}{2} \right)\)

Step-by-step explanation:

Given equation:

\(3x+2y=5\)

The x-intercept is when y = 0:

\(\implies 3x+2(0)=5\)

\(\implies 3x=5\)

\(\implies x=\dfrac{5}{3}\)

Therefore, the x-intercept is:

\(\left(\dfrac{5}{3},0 \right)\)

The y-intercept is when x = 0:

\(\implies 3(0)+2y=5\)

\(\implies 2y=5\)

\(\impiles y=\dfrac{5}{2}\)

Therefore, the y-intercept is:

\(\left(0,\dfrac{5}{2} \right)\)

The mean of the distribution of sample means would be 27 hours, which is the same as the average life of the candles.

This is because the sample means would be expected to be centered around the population mean.

The standard deviation of the distribution of sample means (also known as the standard error of the mean) can be calculated using the formula:

standard deviation of sample means = standard deviation of population / square root of sample size

In this case, the standard deviation of sample means would be:

6 / square root of 4 = 3

So the answer is 3.

So, the mean of the distribution of the sample means would be 3. Your answer: 3.

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Answer:

525 in³

Step-by-step explanation:

Use the direct variation equation, y = kx.

Substitute y with v (volume) and substitute x with l (length) to represent this situation:

y = kx

v = kl

Plug in 35 as l and 15 as k, then solve for v (the volume):

v = kl

v = 15(35)

v = 525

So, the volume of the box is 525 in³

Answer:

18.55 - 1.75= 16.8

16.8/12= 1.4 oz

Answer- 1.4 oz

Step-by-step explanation:

Sorry if this is wrong, I suck at math, too.

The comparision between decimal number are 1.9 = 1.90, 0.05 < 0.2, 3.88 < 6.38

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Therefore, one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

Here we can see that

1.9 = 1.90

0.05 < 0.2

3.88 < 6.38

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Answer:

xy.

..

..

..

..

hope it helps

Answer:

fluid ounce

Step-by-step explanation:

A variable measured with discrete data means that the data identify participants as belonging to one of a finite number of categories or groups. Discrete data can only take on certain values and cannot be subdivided any further. For example, the number of siblings a person has is a discrete variable as it can only take on whole numbers (0, 1, 2, 3, etc.).

In contrast, continuous data can take on any value within a range. For example, a person's height is a continuous variable as it can be measured with decimals (5'7.5", 6'2", etc.).

It is important to distinguish between discrete and continuous variables as they require different methods of analysis and interpretation. Understanding the nature of the data is crucial in ensuring accurate and meaningful results in research studies.

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Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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B. 2x^4-11x^3+7x^2+5x-3

Answer:

Put one dot at (0,3) and the other dot at (1,0)

Step-by-step explanation:

Let x = 0

6x + 2y = 6

6(0) + 2y = 6

2y = 6  Divide both sides by 2

y = 3

(0,3)

Let y = 0

6x + 2y = 6

6x + 2(0) = 6

6x = 6  Divide both sides by 6

x = 1

(1, 0)

Answer:

1. 24 different 4-digit numbers can be formed.

Step-by-step explanation:

2. The probability that the number 3 will be the first or third digit is 1:1, which is equal to 1/2 and 50%

3. The probability is 3:1, 3/4, or 75%

4.  What is the probability that the first digit will be the number 3 and the second digit will be the number 7? Answer: 1/12

Answer:

The area of cone is 7240cm³.

Step-by-step explanation:

Given that the diameter is 2 times greater than radius.

So the radius of this cone will be 16cm.

Next, we have to apply volume formula, V = (1/3)×(area of circle)×height.

Formula for area of circle is A = π×r² :

\(V = \frac{1}{3} \times \pi \times {r}^{2} \times h\)

\(V = \frac{1}{3} \times \pi \times {16}^{2} \times 27\)

\(V = 7240 { \: cm}^{3} \: \: (3sf)\)

Answer:

The volume of cylinder is 7234.56 cm³.

Step-by-step explanation:

Given :

To Find :

Using Formulas :

\(\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}\)

\(\star{\small{\underline{\boxed{\sf{\pink{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}}}\)

Solution :

Finding the radius of cone by substituting the values in the formula :

\(\implies{\sf{Radius = \dfrac{D}{2}}}\)

\(\implies{\sf{Radius = \dfrac{32}{2}}}\)

\(\implies{\sf{Radius = \cancel{\dfrac{32}{2}}}}\)

\(\implies{\sf{\underline{\underline{\red{Radius = 16 \: cm}}}}}\)

Hence, the radius of cone is 16 cm.

\(\rule{200}2\)

Now, finding the volume of cone by substituting the values in the formula :

\({\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}\)

\({\implies{\sf{Volume_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(16)}^{2} \times 27}}}\)

\({\implies{\sf{Volume_{(Cone)} = \dfrac{1}{\cancel{3}} \times \dfrac{314}{100} \times {(16 \times 16)}\times \cancel{27}}}}\)

\({\implies{\sf{Volume_{(Cone)} = \dfrac{314}{100} \times 256 \times 9}}}\)

\({\implies{\sf{Volume_{(Cone)} = \dfrac{314}{100} \times 2304}}}\)

\({\implies{\sf{Volume_{(Cone)} = \dfrac{314 \times 2304}{100}}}}\)

\({\implies{\sf{Volume_{(Cone)} = \dfrac{723456}{100}}}}\)

\({\implies{\sf{\underline{\underline{\red{Volume_{(Cone)} = 7234.56 \: {cm}^{3}}}}}}}\)

Hence, the volume of cone is 7234.56 cm³.

\(\rule{300}{1.5}\)

The simplified fraction expression results into \(\frac{1}{9}\).

What is fraction?

A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

A number that represents a rational number is called a common fraction. The three main sorts of fractions are as follows. Proper fractions, incorrect fractions, and mixed fractions are these three types.

Given,

Expression = \(\frac{3^{-6}}{3^{-4}}\)

                   = \(3^{-6-(-4)}\)

                   = \(3^{-6+4}\)

                   = \(3^{-2}\)

                   = \(\frac{1}{3^2}\)

                   = \(\frac{1}{9}\)

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Answer:

The time Jacob spent on the test represented by J = (m + 10) minutes

where m is the number of minutes spent by Mark on the test

Step-by-step explanation:

Here, we want to give an equation which represents the time taken for Jacob to finish his test compared to the time m which Mark spent on the test.

Since Jacob finished 10 minutes before Mark, it means Mark actually took longer on the test.

Now, we are told that Mark spent m minutes on the test, the time spent by Jacob on the test is thus (m + 10) minutes

Let the amount of time spent by Jacob be J minutes. This in relation to the amount of time spent by Mark will be ;

J = (m + 10) minutes

The 50% of the company will tyreek still own after the investment, according to the given question.

What do you mean by investment pitches?

A brief outline of your business plan that piques the curiosity of potential investors should be included in your investment pitch presentation. Because your product is only one component of your business strategy, it shouldn't only be a pitch for your product.

According to data in the given question,

We have the information:

The total value of Tyreek's company = $200,000

Contributed amount of the four investors = $25,000 * 4 = $100,000

Assume P is the percentage of the company which Tyreek will still own after the investment.

\(P=\frac{Total amount contributed by the four investors }{Value of Tyreek's company} \\P=\frac{100,000}{200,000}\\ P=0.5 or 50%\)

Therefore, the 50% of the company will tyreek still own after the investment, according to the given question.

The 50% of the company will tyreek still own after the investment, according to the given question.

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A function to represent the number of pizzas Antonio’s pizza shop can make in x hours using function notation is y = 13x + 5.

A reasonable domain and range for the number of pizzas Antonio’s can make include the following:

In order to write a function to represent the number of pizzas Antonio’s pizza shop can make in x hours using function notation, we would have to determine the slope and y-intercept by using the point-slope form equation;

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

The table representing the number of pizzas Antonio’s pizza shop can make in x hours should be completed as follows;

Hours, x           1      2      3      4     5

# of pizzas, y  18     31    49    67   85

Next, we would determine the linear equation representing the line which passes through the points (1, 18) and (2, 31) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 18 = (31 - 18)/(2 - 1)(x - 1)

y - 18 = 13/1(x - 1)

y = 13x - 13 + 18

y = 13x + 5

Therefore, a reasonable domain and range for y = 13x + 5 is given by:

Domain = 1 ≤ x ≤ 5 or [1, 5]

Range = 18 ≤ y ≤ 85 or [18, 85]

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Answer:

Around 19 rows

Step-by-step explanation:603/31= 19.40 so I'm not too sure

Answer:

3/7

Step-by-step explanation:

add them all up 9+3+12+4=28

28 will be the bottom number of the fraction 12 wil be the top

12/28 then simplify by dividing by 2 6/14 then once more 3/7

Answer:24-25a

Step-by-step explanation: