Suppose that you bought a new car at a price of $27,600.
According to research on this make and model, similar cars
have straight line depreciated to o value after 12 years. How
much will your car be worth after 9 years?

c. What is the equation of the line?
A. y = 2300x + 27600
B.y=-2300x + 27600
C.y= -2300(9) + 27600
D.26700-12 = y

True. With a sample size of 100 and a p of .5, the sampling distribution of the sample proportion will approximate a normal distribution.

This is because of the central limit theorem, which states that with a sufficiently large sample size, the sampling distribution of the sample proportion will approach a normal distribution regardless of the shape of the population distribution.

The central limit theorem is an important concept in statistics that allows us to make inferences about population parameters based on sample statistics. It states that with a large enough sample size, the sampling distribution of the sample mean or proportion will approximate a normal distribution, even if the underlying population distribution is not normal. In this case, with a sample size of 100 and a p of .5, we have a sufficiently large sample size to apply the central limit theorem and approximate a normal distribution. Conclusion: In conclusion, the statement that the sampling distribution of the sample proportion will approximate a normal distribution with a sample size of 100 and a p of .5 is true. The central limit theorem is a powerful tool that allows us to make inferences about population parameters with confidence, even if the underlying population distribution is not known.

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1. True. The PESTLE framework categorizes environmental influences into six main types: Political, Economic, Sociocultural, Technological, Legal, and Environmental factors.

These factors help analyze the external macro-environmental forces that can impact an organization's strategies and operations. 2. False. The PESTLE framework analyzes the macro-environmental factors and not the micro-environment of organizations. The micro-environment is examined through other frameworks like Porter's Five Forces, which focus on specific industry dynamics and competitive factors.

3. True. Economic forces, such as inflation, interest rates, exchange rates, and economic growth, are one of the types included in the PESTLE framework. Economic factors play a significant role in shaping business decisions and strategies.

4. False. An organization's strengths are not part of the types studied in the PESTLE framework. Strengths, weaknesses, opportunities, and threats (SWOT) analysis is a separate framework used to assess internal strengths and weaknesses of an organization.

5. True. The PESTLE framework provides a comprehensive list of influences on the possible success or failure of strategies. By considering the political, economic, sociocultural, technological, legal, and environmental factors, organizations can gain insights into the external forces that may impact their strategies and make informed decisions.

The PESTLE framework categorizes environmental influences into six main types, including political, economic, sociocultural, technological, legal, and environmental factors. It analyzes the macro-environmental forces, not the micro-environment of organizations. Economic forces are one of the types studied in the framework, while an organization's strengths are not included. The framework provides a comprehensive list of influences on the success or failure of strategies, allowing organizations to consider various external factors in their decision-making process.

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The a) mean of the sample means is equal to the population mean.

This is because the mean of all of the sample means is a measure of the center of all of the samples, which is the same as the center of the population. This can be shown by calculating the arithmetic mean of the sample means.

The arithmetic mean of the sample means is calculated by summing the means and dividing by the number of samples. Since the sum of all the sample means is the same as the sum of the population, the mean of the sample means must also be equal to the population mean.

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20. The sample mean is an unbiased estimator for the population mean. This means: (a) The sample mean always equals the population mean. (b) The average sample mean, over all possible samples, equals the population mean. (c) The sample mean is always very close to the population mean. (d) The sample mean will only vary a little from the population mean. (e) The sample mean has a normal distribution.

Based on the  calculation done, one can't have a negative number, thus, the regular polygon does not exist.

For a regular polygon of N sides, the measure of each interior angle is:A = (N - 2)*180/N

Here we want to have an interior angle of 220°, then we need to solve the equation:220° =  (N - 2)*180/N

For N, so let's do that: N*220° = (N - 2)*180°We can see that this equation has no solution for N integer:

N*220° = N*180° - 360°N*220° - N*180° = -360°N*40° = -360°N = -360°/40° = -9

We can't have a negative number, thus, the regular polygon does not exist.

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The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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Answer:

0/5 1/5 2/5 3/5 4/5 5/5  hope this helps

To the nearest whole number, the probability of rolling a 2 and a 4 is 2.8%.

A 2 rolling up on the first throw has a 1/6 chance of happening. Given that a 2 was rolled on the first throw, the likelihood of rolling a 4 on the second throw is equally 1/6. We will have to multiply the probabilities to get the probability of both the events happening,

= (1/6)x(1/6)

= 1/36.

We get 2.8% after converting to a percentage and rounding to the next full amount. So, the chance of rolling a 2 and then a 4 is found to be 2.8% chance.

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Part A

Initial population of parrot in the animal sanctuary = 20 parrots

The population is increasing by 5 parrots per year.

let

number of years = x

y = population of parrot

The function can be represented as

Part B.

Initial population of snake in the sanctuary = 24

Each year 4 more snakes are born

let

number of year = x

y = population of the snake

The function can be represented below

Part C

Number of parrot in 10 years

Number of snakes in 10 years

Part D

The number of year where the number of parrot and snakes are the same can be calculated below

The snakes and the parrot will be equal in population after 4 years time.

Answer:

1. x^2 + 3x - 4 =0

x^2 + 3x = 4

x + 3x = √4

4x = 2

x =2/4

x = 1/4

2. 2x^2 - 4x - 3 = 0

2x^2 - 4x = 3

2x^2 - x = 3/4

2x - x = √3/4

x = √3/4

3.x(x-2) = 4

x^2 - 2x = 4

x - 2x = √4

- x = 2

x = -2

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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Applying the definition of an angle bisector, the measure of angle BAC is: 76°.

When a line segment divides an angle into two equal halves, the line segment is referred to as an angle bisector, and it bisects the angle to form two congruent angles.

AP is said to bisect angel BAC. This means that AP is an angle bisector of angle BAC, which divides angle BAC into congruent angles which are, angle 1 and angle 2.

We are given the following measurements:

m∠2 = 38x

m∠BAC = 75x + 1

Therefore, based on the definition of an angle bisector, we have:

2(m∠2) = m∠BAC

Substitute

2(38x) = 75x + 1

76x = 75x + 1

Subtract 75x from each side of the equation

76x - 75x = 75x + 1 - 75x

x = 1

m∠BAC = 75x + 1

Plug in the value of x

m∠BAC = 75(1) + 1

m∠BAC = 75 + 1

m∠BAC = 76°

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Answer:

1. is true

2. false

3. true

Step-by-step explanation:

If the graphs of the linear equations are identical, then there are infinitely many solutions.

If the graphs are not identical, then there are not infinitely many solutions. In this case, there may be either no solutions (lines are parallel but not collinear) or one solution (the lines are not parallel but they intersect).

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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Answer:

Rational numbers are the numbers which are integers and fractions

Irrational numbers are the numbers whose expression as a fraction is not possible.  

Step-by-step explanation:

Answer:

Rational is with fractions

Irrational is with expressions

Step-by-step explanation:

Answer: 6 doughnuts

Step-by-step explanation:

if he gave 2 away and was left with 1, that means we know he had at least 3. He ate half ans after he had the 3 left, and obviously if you know basic math then you know that half of 6 is 3. That's why the answer is 6

Answer:A

Step-by-step explanation: 1 Gallon is equal to 8 pints.

Answer:

A

Step-by-step explanation:

pint=1/8 of a gallon

therfor 7 pints = 7/8

7/8<1gal

To summarize, the mean of the sampling distribution of

hat is 0.5240 and the variance is 0.0002628, when n = 1000 persons are sampled from a population with a proportion of married persons of 0.524, based on the 2000 California census.

The mean of the sampling distribution of the sample proportion of married persons (?-hat) can be calculated by taking the population proportion (p) of married persons (0.524) from the 2000 California census.

This is because, according to the Central Limit Theorem, the mean of a sampling distribution approaches the population proportion as the sample size increases. Therefore, for a sample size of 1000, the mean of the sampling distribution of ?-hat is 0.5240.

Moreover, the variance of the sampling distribution of ?-hat can be calculated by using the formula: variance = (p*(1-p))/n. For this example, the variance = \((0.524*(1-0.524))/1000 = 0.0002628.\)

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\(\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}\)

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

\( \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \)

Area of Triangle 2

\( \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\)

Difference in the area =

\(xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \)

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

Answer:

\(\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}∣ANSWER∣

They both have same height,

let the height of both triangles be = x

let the base one triangle = y

then the base of another trainlgle = 2y

Area of triangle = 1/2 X B X H

Area of Triangle 1

\begin{gathered} \frac{1}{2} \times y \times x \\ = > \frac{xy}{2} \end{gathered}21×y×x=>2xy

Area of Triangle 2

\begin{gathered} \frac{1}{2} \times 2y \times x \\ = > \frac{2xy}{2} \\ = > xy\end{gathered}21×2y×x=>22xy=>xy

Difference in the area =

\begin{gathered}xy - \frac{xy}{2} \\ = > \frac{2xy - xy}{2} \\ = > \frac{xy}{2} \end{gathered}xy−2xy=>22xy−xy=>2xy

Hence Area of Triangle 1 is half the area of Triangle 2

Difference of 1/2 area.

\)

Step-by-step explanation:

side it

siso,;-):-(

True, if Στ = 0 in a single-factor experiment, then all treatment means must be equal.

In single-factor experiments, if the sum of the treatment effects (Στ) is equal to zero (Στ = 0) for all levels (i=1 to n), then it implies that all treatment means (Ti) must be equal.

In a single-factor experiment, a single independent variable (factor) is manipulated, and its effect on the dependent variable is studied across different levels or treatments.

The treatment effects (τ) represent the differences in the mean response between each treatment level and the overall mean of the dependent variable.

If the sum of these treatment effects (Στ) is equal to zero (Στ = 0), it means that the positive and negative differences cancel each other out, resulting in a net effect of zero.

If Στ = 0, it implies that the total treatment effect across all levels is balanced, indicating that there are no systematic differences between the treatment means.

Consequently, if all treatment effects cancel out and Στ = 0, it implies that the means of all treatment levels (Ti) must be equal since any deviations from the overall mean are offset by equal and opposite deviations in other treatment levels.

Therefore, if Στ = 0 in a single-factor experiment, it indicates that all treatment means must be equal.

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Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

Reference angle (∅) = 60

Adjacent = 4√3

Opposite = ?

tan 60 = opp/adj

tan 60 = Opp/4√3

√3 = opp/4√3

Opposite = √3 × 4√3

Opposite = 12

Reference angle (∅) = 60

Adjacent = 4√3

Hypotenuse = ?

cos 60 = adj/hyp

cos 60 = 4√3/hyp

hyp = 4√3/cos 60

hyp = 4√3/1/2

hyp = 4√3 × 2

hyp = 8√3

Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.

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Answer:

Find the volume of this prism.

Answer:

I hope this helps you

:)

To match each number on the left with the correct description on the right, you will need to carefully analyze each option and determine the most appropriate description for each number.

Here are some steps to help you with this task: 1. Read the descriptions on the right side carefully and understand their meanings. It is important to have a clear understanding of the terms before you start matching them with the numbers.

2. Start with the first number on the left and consider each description on the right. Think about the meaning of the number and how it relates to each description.

3. For example, if the first number is 5, and one of the descriptions on the right is "odd number," you can immediately identify that this description matches the number since 5 is indeed an odd number.

4. Continue this process for each number, carefully considering each description and matching it with the appropriate number.

5. Keep in mind that the descriptions on the right may be used more than once. So, you might need to revisit the descriptions to find the best match for each number.

6. Once you have matched all the numbers with their descriptions, double-check your answers to ensure their accuracy and appropriateness. Remember to take your time, think critically, and carefully consider each option before making your final choices.

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Answer:

\(125cm^{3}\)

Step-by-step explanation:

TSA of a Cuboid=  2LW x 2LH x 2WH
250 = 2 ( L X W X H)
250 / 2 = L X W X H
125 = L X W X H

The volume of a cuboid = L X W X H
125 = L X W X H
Volume = 125cm3

The experimental probability of landing on a number greater than 4 is 0.25 or 25%.

To find this probability, we need to determine the number of successful outcomes (landing on a number greater than 4) and divide that by the total number of trials (60).

The successful outcomes are 5 and 6, with a frequency of 10 and 8 respectively. To add these two frequencies together, we can use 10 + 8 = 18.

So, the experimental probability is 18/60 = 0.3 or 25%.

It's important to note that experimental probability is based on the outcomes of an experiment or a sample and it may not be the same as a theoretical probability which is based on the ratio of favorable outcomes to the total number of outcomes in a theoretical model.

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the answer in fraction form is 18/60

if thats what you are looking for.

Answer:

Step-by-step explanation:

dad hates me sorry bye

Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.

It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:

1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).

2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.

3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.

4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.

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Answer:

\(\frac{1}{2} d-8=12\)

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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