A bamboo plant can grow 96 centimeter per hour what is the growth of the plant for each hour

Answer: m =2

Step-by-step explanation:

rise over run = 6/3 = 2

Formula to find out slop, we have to calculate the change in the y values over the change in the x values. That is -

\( \small \underline{ \boxed{ \sf{ \pmb{ Slop = \dfrac{y_2-y_1 }{x_2-x_1 }}}}}\\\)

As per question, points are -

On substituting the values -

\( \: \: \: \:\: \: \: \: \longrightarrow \sf {Slop = \dfrac{-4-2}{-1-2}}\\\)

\(\: \: \: \:\: \: \: \: \longrightarrow \sf {Slop = \dfrac{-6}{-3}}\\\)

\(\: \: \: \:\: \: \: \: \longrightarrow \sf {Slop = \cancel{\dfrac{-6}{-3}}}\\\)

\(\: \: \: \:\: \: \: \: \longrightarrow \boxed{ \tt{ \pmb{ \red{Slope = 2}}}}\\\)

\( \\ \therefore \underline{ \cal{ \pmb{The \:Answer \: is \: \frak{\purple{ 2 }. }}}}\\\)

Answer:

No solution,

They never intersect,

They are parallel line

Answer:

Plug the x and y values to get it

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8x - 4 = 60

8x = 60 + 4

x = 64/8

x = 8

The probability that a randomly selected student majors in business or economics is 44.8%.

Let 'B' be the students of business.

P(B) = 35.1%

Let 'E' be the students of business.

P(E) = 12.3%

Thus,

P(E ∩ B) = 2.6%

P(E ∪ B) = probability for student majors in business or economics.

P(E ∪ B) = P(B) + P(E) - P(E ∩ B)

Put the values-

P(E ∪ B) = 35.1% + 12.3% -  2.6%

P(E ∪ B) = 44.8%

Thus, the probability that a randomly selected student majors in business or economics is 44.8%.

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The equation that can be used to determine the number of gigabyte data London can use while staying within her budget is 54.40 = 44 + 4g where g is 3.6 gigabyte

54.40 = 44 + 4g

54.40 - 44 = 4g

14.40 = 4g

g = 14.40 / 4

g = 3.6 gigabyte

In conclusion, the number of gigabytes of data London can use while staying within her budget is 3.6 gigabyte.

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Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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Answer:

i think it is c but sorry if im wrong

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

if each of the 10 students have 10 cubes, that's 100, plus the 10 cubes Ms Smith has is 110

There are 35 ways to select three unordered elements from a set with five elements when repetition is allowed.

Explanation:
To find the number of ways to select three unordered elements from a set with five elements when repetition is allowed, we can use the combination formula, which is:

nCr = n! / r!(n-r)!

where n is the total number of elements in the set, r is the number of elements we want to select, and ! denotes the factorial function (i.e., the product of all positive integers up to and including the given number).

In this case, we have n = 5 and r = 3, so we can plug these values into the formula:

5C3 = 5! / 3!(5-3)!
    = (5 x 4 x 3 x 2 x 1) / [(3 x 2 x 1) x (2 x 1)]
    = (120) / (6 x 2)
    = 20 x 1
    = 20

However, this formula assumes that repetition is not allowed (i.e., once an element is selected, it cannot be selected again). Since repetition is allowed in this case, we need to account for the fact that each element can be selected multiple times.

To do this, we can use a "stars and bars" approach. Imagine that we have three stars (representing the three elements we want to select) and four bars (representing the four "gaps" between the five elements in the set). We can place the stars and bars in any order to represent different selections of elements. For example:

* | * * | *   represents selecting the first element twice and the third element once.
| * * * |     represents selecting the second element three times.
* * * | |     represents selecting the first three elements once each.

There are a total of 7 objects (3 stars and 4 bars), and we need to choose where to place the 3 stars. This is equivalent to choosing 3 out of the 7 objects to be stars (and the rest are bars). So the number of ways to select three unordered elements from a set with five elements when repetition is allowed is:

7C3 = 7! / 3!(7-3)!
    = (7 x 6 x 5 x 4 x 3 x 2 x 1) / [(3 x 2 x 1) x (4 x 3 x 2 x 1)]
    = (7 x 2 x 5)
    = 70 / 2
    = 35

Therefore, there are 35 ways to select three unordered elements from a set with five elements when repetition is allowed.

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer:

her last call was 38 minutes

Explanation:

Given;

Long distance calls cost 18 cents a minute = $0.18 per minute

Initial credit = $15

Final credit after call = $8.16

The amount of credit C used to make the long distance call is;

C= initial - final credit

C = $15 - $8.16

C = $6.84

Then the number of minutes N used can be calculated by;

R = rate = $0.18 per minute

substituting we have;

Threrefore, her last call was 38 minutes

Answer:

The error is in the second line.

x = -1

Step-by-step explanation:

When solving for "x", you are trying to isolate it, or move everything else to the other side. You may have learned that "what you do to one side, you do to the other" .

2x + 18 = 16

2x = 34               18 was added to the right side, but not to the other.

If you add 18 on both sides, then the equation would be:

2x + 36 = 34       "x" is not being isolated.

Instead, you should subtract 18 from 16.

Correct solutions steps:

2x + 18 = 16

2x + 18 - 18 = 16 - 18     Subtract 18 from both sides to cancel out 18

2x = -2

2x/2 = -2/2                     Divide both sides by 2

x = -1                              Final answer

The number of years that he ruled as an Emperor is B. 41 years.

From the information, it was stated that Octavian became the emperor of rome in 27 b.c. and that he ruled until his death in a.d. 14

Therefore, the number of years that he rules will be:

= 27 + 14

= 41

Therefore, the number of years that he ruled as an Emperor is 41 years.

In conclusion, the correct option is B.

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The polygon is a regular hexagon.

Stella is using a compass and a straight edge to construct a polygon inscribed in a circle.

Also the circle is drawn with five arc markings that lie on the circle. Also there is an additional point marked on the circle.

So there are in total 6 points on the circle. Also the lines joining these five points will be equal. So we will get a regular hexagon through this construction.

The following is the process of construction.

First she starts at a point on the circle placing the compass there. Then she will measure the radius of the circle on compass. Fixing this distance, she will draw an arc on the circle. The process is repeated by placing the compass on the new point obtained on the circle.

So in total she will get the 6 vertexes of the regular hexagon. Joining the adjacent points, a regular hexagon is inscribed inside the circle.

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Answer: A regular hexagon

Answer:

-3 C

Step-by-step explanation:

Answer:

-3⁰c

Step-by-step explanation:

0-3=--0

hope this helps

To find the time required for more than 200 cars to have entered the parking lot with a probability of 0.9, we need to use the properties of the Poisson distribution and its cumulative distribution function (CDF).

Given:

- Poisson distribution rate (λ) = 100 cars per hour

- Desired probability (P(X > 200)) = 0.9

The Poisson distribution probability mass function (PMF) is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

To find the time required, we need to determine the value of λt (λ multiplied by time) that corresponds to the desired probability.

Using the CDF of the Poisson distribution, we can express the desired probability as:

P(X > 200) = 1 - P(X ≤ 200)

Since the CDF is a cumulative probability, we want to find the time (t) at which P(X ≤ 200) is less than or equal to 0.1. We can incrementally increase t until we reach the desired probability.

Step 1: Calculate the rate parameter for the desired time:

λt = λ * t

100 * t = λt

Step 2: Calculate the cumulative probability P(X ≤ 200) using the Poisson CDF:

P(X ≤ 200) = ∑[k=0 to 200] (e^(-λt) * (λt)^k) / k!

Step 3: Incrementally increase t until P(X ≤ 200) ≤ 0.1:

Start with t = 0, and increase it until P(X ≤ 200) ≤ 0.1 is achieved. This can be done using numerical methods or a Poisson distribution calculator.

The specific value of time required can vary based on the precise probability calculation and numerical approximation used. To obtain an accurate and precise result, it is recommended to use specialized software, statistical calculators, or programming languages with built-in functions for Poisson distributions.

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Given that 50% of all college students smoke cigarettes, the probability of a randomly selected student smoking is P(Smoker) = 0.5 and the probability of a randomly selected student not smoking is P(Non-smoker) = 0.5.

We are to find the probability of exactly one student smoking out of a sample of 10 students. This can be calculated using the binomial probability formula which is:P(X = k) = (nCk) * p^k * (1 - p)^(n - k)where n is the sample size, k is the number of successes, p is the probability of success, and (1 - p) is the probability of failure. In this case, n = 10, k = 1, p = 0.5, and (1 - p) = 0.5.

Substituting the values, we get:P(X = 1) = (10C1) * 0.5^1 * 0.5^(10 - 1)= 10 * 0.5 * 0.0009765625= 0.0048828125Rounding off to four decimal places, the probability of exactly one student smoking out of a sample of 10 students is 0.0049.Hence, the required probability is 0.0049, when exactly one student smokes out of a sample of 10 students.

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Answer:

The LCM of 306 and 657 is 22338

Step-by-step explanation:

We know that

HCF (a, b) × LCM (a, b) = a × b

⇒ HCF (306, 657) x LCM (306, 657) = 306 × 657

⇒ 9 × LCM = 306 × 657

⇒ LCM (306, 657) = 306 × 657 / 9

                              =  201042 / 9

∴ LCM = 22338

Thus, the LCM of 306 and 657 is 22338.

Answer:

D is the answer

Step-by-step explanation:

The method of documentation described is called gridding. Gridding involves setting up squares of known dimensions (e.g. 1 meter) over the entire pattern, usually starting at the center.

Gridding is setting up squares of known dimension over the entire pattern. The squares are then numbered in a clockwise fashion, allowing each individual artifact found within them to be documented and identified. Gridding ensures that all artifacts found within a pattern can be located and identified. Additionally, it helps to compare patterns with one another and to compare them to other patterns.
Gridding requires the excavation of a larger area than would otherwise be necessary, but the information that is obtained is worth the effort. The data obtained from gridding can be used to compare the relative amounts and types of artifacts present in various locations, which can be used to infer the type of activity that was conducted in the area. Furthermore, it allows for the accurate identification and documentation of individual artifacts, which can be extremely useful for studying a specific culture.

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The volume of Cube A and Cube B is 512 mm^2 and 4096 mm³ respectively.

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc.

Given that the length of the sides of Cube B is twice that of length of Cube A.

So, the dimensions of cube B are:

l = 2(8) = 16

The volume of the cube is given by the following formula:

V = a³

The volume of cube A is:

V = (8)^3

V = 512 mm^3

The volume of cube B is:

V = (16)^3

V = 4096 mm^3

Hence, the volume of Cube A and Cube B is 512 mm^2 and 4096 mm^3 respectively.

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The measure of angle R, found through the angle sum property of a triangle and corresponding angles in ΔKIX and ΔREM is m∠R = 61°

Corresponding angles are angles in two congruent or similar triangles, located between a pair of segments in one triangle that are congruent to a pair of segment in the other triangle

The details of the question are;

The transformation that maps triangle ΔKIX unto triangle ΔREM is a rotation.

Please see attached the example drawing of ΔKIX and ΔREM created with MS Excel.

A rotation transformation is a rigid transformation, therefore, the side lengths and shape of triangle ΔKIX is preserved in the image of the triangle, ΔREM

The measure of angle ∠X in triangle ΔKIX is ∠X = 117°

The measure of angle ∠I in ΔKIX is ∠I = 2°

∠K + ∠I + ∠X = 180° (angle sum property  of a triangle)

The measure of angle ∠K = 180° - (∠X + ∠I)

Therefore;

m∠K = 180° - (117° + 2°) = 61°

m∠K = 61°

Based on the naming of the triangles ΔKIX and ΔREM, we have;

∠K corresponds to ∠R, ∠I corresponds to ∠E, and ∠X corresponds to angle ∠R, therefore;

∠K ≅ ∠R, ∠I ≅ ∠E, ∠X ≅ ∠R, which by the definition of congruency indicates;

∠K = ∠R, ∠I = ∠E, ∠X = ∠R

m∠R = m∠K = 61°

m∠R = 61°

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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If Phil received £235 in the ratio 3:5, we can use this information to find out how much money was shared in total.

We know that the ratio of Samantha's share to Phil's share is 3:5.

This means that for every 3 parts of the total money that Samantha gets, Phil gets 5 parts.

We can use this information to set up a proportion:

(Samantha's share) / (Phil's share) = (3) / (5)

We know that Phil's share is £235, so we can substitute that into the proportion:

(Samantha's share) / (235) = (3) / (5)

To find the total amount of money shared, we can cross-multiply and divide:

Samantha's share = (3/5) * 235

Samantha's share = 141

To find the total amount of money shared, we can add the amount Samantha received to the amount Phil received:

141 + 235 = £376

Therefore, £376 was shared in total.

Answer:

61

Step-by-step explanation:

37+82+x=180 (Sum of triangle is 180)

119+x=180

x=180-119

x=61

Answer:

3.6 - 3 = 0.6

Should be D.

Error is 0.6 cm.

The absolute error of the measurement will be 0.6 cm. The correct option is D.

A data value's approximation error is the difference between an exact value and some approximation to it. This error can be expressed as either an absolute or relative error. A computing machine's precision or measurement error can cause an approximation error.

Given that the length of RS is 3.6 cm. The absolute error will be calculated as below,

Absolute error = 3.6 - 3

Absolute error = 0.6 cm

Therefore, the measurement will have an absolute error of 0.6 cm. D is the correct answer.

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The coordinates of M' is M'(-3,-4).

According to the statement

LMNP is rotated 90 degrees clockwise about the origin.

and we have to find the coordinates of M'.

so,

when it is rotated then it take four steps to reach at the end.

So, due to its moving procedure it takes four steps to reach at end.

and due to the four step procedure it's coordinates are changes four time and that's why at the end the coordinates we have to find are become a -3 and -4. So, the coordinate we get are -3 and -4

Due to this procedure the coordinate of m' become M'(-3,-4)

So, The coordinates of M' is M'(-3,-4).

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Answer: B. M'(4, -3) Just took the test

Step-by-step explanation: