Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify your answer. -14, -5,4, 13, 22, ...

A firm should record an impairment in the value of property, plant, or equipment by reducing the carrying amount of the asset and recognizing the impairment loss as an expense in the financial statements.

When the value of property, plant, or equipment is impaired, meaning its recoverable amount is lower than its carrying amount, a firm should recognize this impairment in its financial statements. The impairment is recorded by reducing the carrying amount of the asset to its recoverable amount, which is the higher of its fair value less costs to sell or its value in use. The difference between the carrying amount and the recoverable amount is recognized as an impairment loss and recorded as an expense in the income statement. This adjustment reflects the decrease in the value of the asset and allows the firm to accurately report its financial position and performance.

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Two samples drawn from two populations are independent if the selection of one sample from a population is not related to the selection of the second sample from the same population. Option C is correct:

Independence is a fundamental concept in statistics when working with samples from different populations. It refers to the absence of any relationship or connection between the two samples. Option C correctly states that the selection of one sample from a population is not related to the selection of a second sample from the same population.

If the selection of one sample were related to the selection of the second sample from the same population (Option A), it would introduce bias and invalidate the assumption of independence. Similarly, if the two samples selected from the same population had a relationship or connection (Option B), it would violate the principle of independence.

Option D, stating that the selection of one sample from one population does not affect the selection of the second sample from the second population, is not the correct definition of independence. Independence refers to the relationship between samples drawn from the same population, rather than between samples drawn from different populations.

In summary, the independence of two samples implies that the selection of one sample from a population does not affect the selection of the second sample from the same population (Option C). This concept is crucial in statistical analysis to ensure unbiased and reliable results when working with multiple samples.

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Answer:

$0.49

Step-by-step explanation:

You will need to divide 5.88 with 12

Since she has 12 pens we will need to divide 5.88 by 12 to get the cost of one pen

Thus:

5.88/9

You will get 0.49

Thus each pen is $0.49

To check your answer you can multiply 0.49 with 12

This will get 5.88, the same price

Hope this helps!

The difference between the sample means has a standard deviation of 9.95 in the sampling distribution.

The standard deviation of the population divided by the square root of the sample size is equal to the standard deviation of the sampling distribution of means. The "standard error of the mean" refers to the sampling distribution's standard deviation.

The variation between particular data points and the mean is measured by the standard deviation. The standard error of the mean is a measure of how close the sample mean is to the population mean, which the mean is supposed to approximate.

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Answer:

200.96 units^2

Step-by-step explanation:

50.24/Pi = 16 (diameter)

16/2=8 (radius)

area = Pi(r^2)

area = 3.14(8^2) = 200.96 units^2

The total number of ways six dogs and four cats can sit in a row as per given condition is equal to 86,400 ways.

Total number of dogs = 6

Total number of cats = 4

Arrange six dogs and four cats in a row.

No two cats sit next to each other.

Use permutation ,

Arrange the six dogs in a row in 6! ways.

Now, place the four cats in the six spaces between the dogs.

Since no two cats can sit next to each other

Place them such that there is at least one dog between any two cats.

Spaces between the dogs as ,

_ D _ D _ D _ D _ D _

Place the four cats in any of the 5 spaces between the dogs

Choose four of these spaces without repeating any space.

⁵C₄ = 5

Arrange four cats in the chosen spaces in 4! ways.

Total number of ways to arrange the dogs and cats with the given conditions is,

= 6! x 5 x 4!

= 86,400

Therefore,  there are 86,400 ways for six dogs and four cats to sit in a row in a strawberry field so that no two cats sit next to each other.

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The probability of getting at least 14 heads when flipping a fair coin 20 times is 0.25.

This can be calculated using the binomial distribution formula which states that the probability of obtaining exactly x successes in n trials is given by

P(x) = (n choose x) * p^x * (1-p)^(n-x),

where n is the total number of trials, p is the probability of success, and x is the number of successes.

For this problem, n=20, p=0.5, and x=14, so the probability of getting at least 14 heads is P(x) = (20 choose 14) * 0.5^14 * 0.5^6 = 0.25.

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Answer:

600

Step-by-step explanation:

+2  

2 5

2 4

---------

 First 5 x 4=20 which means add 2 to the equation 2 x 4

Second 4 x 2=8 + 2=10 do first 3 numbers are 100

third we put a 0 below the first 0 on first line.

fourth do 5 x 2=10 so we add 1 to 2 x 2

fifth 2 x 2 + 1= 5

sixth 100 + 500=600 and there's your answer

Hope this helps have a great afternoon:)

Answer:

1. is the 3rd one

2. the last on is the answer

3 is A

4 is C

Step-by-step explanation:

The answer to all the subparts are:

So, the formula for mean calculation:

So, we obtain:

The formula for standard error:

So, we get:

\(\begin{aligned}&S E=\sqrt{\frac{0.64+(1-0.64)}{50}} \\&S E=\sqrt{0.004608} \\&S E=0.068\end{aligned}\)

So, the standard error is 0.068, and the mean is 32.

Given the size of the sample, a roughly normal shape can be anticipated.

In order to determine the likelihood of scoring less than 60%, we must first determine the z-score using:

So, we obtain:
\(\begin{aligned}&z=\frac{0.60-0.64}{0.068} \\&z=-0.588\end{aligned}\)

Then,

Consequently, the probability of receiving a score below 60% is 0.278.

Therefore, the answer to all the subparts are:

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The complete question is given below:
An exam consists of 50 multiple-choice questions. Based on how much you studied, for any given question, you think you have a probability of 0.64 of getting the correct answer. Consider the sampling distribution of the sample proportion of correct questions out of 50. (a) Find the mean and standard error of the sampling distribution of this proportion. Mean = (2 decimal places) Standard error = (3 decimal places) (b) What do you expect for the shape of this sampling distribution? approximately normal because n is large cannot be determined because p is greater than 0.5 cannot be determined because n is large approximately normal because the population is normal (c) If truly p = 0.64, calculate the probability of getting a sample proportion less than 0.60? (correct answers on less than 60% of the questions) Probability = (3 decimal places)

The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

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Answer: There would be 17 Left-handed students

Step-by-step explanation: I know there's a common core way to do this by doing cross multiplication with 1/5 x "x"/85 (x being the answer) but this question is simple enough to just divide 85 by 5

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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The relationship between p(a), p(b) and p(a > b) is that p(a) + p(b) - p(a > b) = 1, meaning the probability of having at least one of the two types of cards is equal to the sum of the individual probabilities minus the probability of having both.

A. No, it could not be the case that p(a > b) = 0.5. This is because

p(a) + p(b) = 1,

so p(a > b) = 1 - p(a) - p(b)

= 1 - 0.6 - 0.4

= -0.1, which is not a valid probability.

B. The probability that the selected student has at least one of these two types of cards is

p(a) + p(b) - p(a > b)

= 0.6 + 0.4 - 0.3

= 0.7.

C. The probability that the selected student has neither type of card is 1 - (p(a) + p(b) - p(a > b))

= 1 - 0.7

= 0.3.

D. The relationships among p(a), p(b), and p(a > b) can be summarized by the equation p(a) + p(b) - p(a > b) = 1. This equation states that the probability of having atleast one type of card is equal to the sum of the probabilities of having a Visa card and a Mastercard minus the probability of having both types of card.

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Answer: (-15, 3)

Let's solve your system by substitution.

x+5y=0;3y+2x=−21

Rewrite equations:

x+5y=0;2x+3y=−21

Step: Solvex+5y=0for x:

x+5y=0

x+5y+−5y=0+−5y(Add -5y to both sides)

x=−5y

Step: Substitute−5yforxin2x+3y=−21:

2x+3y=−21

2−5y+3y=−21

−7y=−21(Simplify both sides of the equation)

−7y

−7

=

−21

−7

(Divide both sides by -7)

y=3

Step: Substitute3foryinx=−5y:

x=−5y

x=(−5)(3)

x=−15(Simplify both sides of the equation)

Answer:

x=−15 and y=3

The equivalent resistance of the circuit is given by:

D. 2 Ω

In this problem, there are two resistors in parallel, with resistances of 4 Ω, hence:

Req = 4 x 4/(4 + 4) = 16/8 = 2 ohms.

Hence option D is correct.

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Answer:

D

Step-by-step explanation:

7^2 is 49-8x2 what is 16-16you get 49-16-16 what equals 17  so ur answer is D

Given the function:

\(f(x) = x + 2 sinx\)In order to find the values of x in the interval [0, 2] for which the graph of f(x) = x + 2 sinx has a horizontal tangent, we have to differentiate the given function: f(x) = x + 2 sinx using the chain rule of differentiation.

Then, we get:

\(f'(x) = 1 + 2cosx\) Setting the above equation to zero, we have:

\(1 + 2cosx = 0 ⇒ 2cosx = -1 ⇒ cosx = -1/2\) Now, we know that \(cos(60°) = 1/2 and cos(120°) = -1/2\). Since we are given that x belongs to the interval [0, 2], we get the following values of x at which the graph of\(f(x) = x + 2 sinx\)has a horizontal tangent.

\(x = π/3 + 2πk or x = 5π/3 + 2πk\), where k is an integer lying between 0 and 3.Therefore, the values of x for which the graph of\(f(x) = x + 2 sinx\) has a horizontal tangent are given by \(x = π/3, 5π/3.\)

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Answer:

we have

when

base=8cm

height=11cm

area of parallelogram is :base×height

=8*11=88cm³

Now for

base=15cm

height=h

we have

the area of parallelogram=88cm²

base ×height=88cm²

15*h=88

h=88/15

h=88/15 or 5 13/15 or 5.86 cm in approximately

Given parameters :

To find :

Solution :

We know that area of a parallelogram is base inti height .

In case 1 take the base as 8 cm and height as 11 cm

In second case take the base as 15 cm and the height as h cm .

Note that we are doing this in the same figure so the area would be same .

There are 342,700,125,300 ( or 60C11  ) ways of selecting 11 members for a committee from organization of 60 member by applying Combinations.

There are 60 people in total in my organisation where there are 35 women and 25 men.

A committee is to be formed where we need to select 11 people from 60 people of the organization.

The total number of ways the commicommittee can be formed is calculated with the help of combinations and permutations.

Since we are not specified that there will be some order in selection of committee members so we can assume that there is no such order.

Therefore, we apply the formula of combinations as the order of items does not matter in case of combinations.

Number of ways the committee can be formed is = nCr = \(\frac{n!}{(n-r)!(r!)}\)

where, n is the total number of people in the organization  and r is the number of people we require in the committee.

Thus, Number of ways the committee can be formed is = 60C11

= \(\frac{60!}{(60- 11)!(11!)}\)

= 342,700,125,300

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Answer: 26.6 repeating number or 26 2/3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Step 1:

13 = 2f + 5         Equation

Step 2:

8 = 2f      Subtract 5 on both sides

Step 3:

f = 8 ÷ 2     Divide

Answer:

f = 4

Hope This Helps :)

Answer:

I did this before! heres what i did: 13=2f+5

We simplify the equation to the form, which is simple to understand  

13=2f+5

We move all terms containing f to the left and all other terms to the right.  

-2f=+5-13

We simplify left and right side of the equation.  

-2f=-8

We divide both sides of the equation by -02 to get f.  

f=4

Answer:

Your Answer is going to be C

Answer:

4

Step-by-step explanation:

First you add all of the numbers one the first line and divide it by that amount of dots there are. In our case, 10.

Do the same thing to the bottom and then find the difference.

Answer:

3/14

Step-by-step explanation:

You add!

1/7 + 1/14

= 2/14 + 1/14 // Change 1/7 to 2/14 by doing this: 1x2/7x2

= 3/14

Answer:

60°

Step-by-step explanation:

All triangles have internal angles that add up to 180°.

180° / 3 = 60° each.

Answer:

=56p explanation:

Step-by-step

Step-by-step explanation:

\( {b}^{2} - 4b - 21 = (b + 3)(b - 7) \\ m = 3 \\ v = 4\)

Answer:

B

Step-by-step explanation:

12x18x2= 432 So your answer will be 432

Answer: 9 cm

Step-by-step explanation: 4+5=9