What is the solution to this equation? 1n(x + 6) - 1n(2x - 1) = 0

The primary advantage of the average rate of return method is its ease of computation. Additionally, it emphasizes the amount of income earned over the life of the proposal.

The average rate of return method is a simple and straightforward method for evaluating investment proposals. It calculates the average annual income or return generated by an investment over its useful life. This method is advantageous because it is easy to calculate, requiring basic financial information such as initial investment and expected annual income.

Moreover, the average rate of return method focuses on the income earned over the life of the proposal, providing a comprehensive view of the investment's profitability. This is in contrast to other methods that may focus on specific time periods or cash flows. By considering the overall income, the average rate of return method helps in assessing the long-term financial viability of the investment.

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a) Area (Ф(R)) = 5184 (b) Area (Ф(R)) = 25920

Let J be the Jacobian of Ф. We have J = det(DФ) = det([3 9; 9 9]) = -72.

(a) For R = [0,9] × [0,6], we have

Ф(R) = {(3u+9v,9u+9v) | 0 ≤ u ≤ 9, 0 ≤ v ≤ 6}.

The area of Ф(R) is given by the double integral over R of the Jacobian:

Area (Ф(R)) = ∬R |J| dudv

= ∫0^9 ∫0^6 72 dudv

= 5184.

Therefore, the area of Ф(R) is 5184.

(b) For R = [2,20] × [1,17], we have Ф(R) = {(3u+9v,9u+9v) | 2 ≤ u ≤ 20, 1 ≤ v ≤ 17}. The area of Ф(R) is given by the double integral over R of the Jacobian:

Area (Ф(R)) = ∬R |J| dudv = ∫2^20 ∫1^17 72 dudv = 25920.

Therefore, the area of Ф(R) is 25920.

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The statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

Given data:

7, 11, 12, 18, 20, 22, 43.

To find out whether the last observation is an outlier or not, let's use the three standard deviation criterion.

That is, if a data value is more than three standard deviations from the mean, then it is considered an outlier.

The formula to find standard deviation is:

S.D = \sqrt{\frac{\sum_{i=1}^{N}(x_i-\bar{x})^2}{N-1}}

Where, N = sample size,

             x = each value of the data set,

    \bar{x} = mean of the data set

To find the mean of the given data set, add all the numbers and divide the sum by the number of terms:

Mean = $\frac{7+11+12+18+20+22+43}{7}$

          = $\frac{133}{7}$

          = 19

Now, calculate the standard deviation:

$(7-19)^2 + (11-19)^2 + (12-19)^2 + (18-19)^2 + (20-19)^2 + (22-19)^2 + (43-19)^2$= 1442S.D

                                                                                                                               = $\sqrt{\frac{1442}{7-1}}$

                                                                                                                                ≈ 10.31

To determine whether the value of x = 43 is an outlier, we need to compare it with the mean and the standard deviation.

Therefore, compute the z-score for the last observation (x=43).Z-score = $\frac{x-\bar{x}}{S.D}$

                                                                                                                      = $\frac{43-19}{10.31}$

                                                                                                                      = 2.32

Since the absolute value of z-score > 3, the value of x = 43 is considered an outlier.

Therefore, the statement "Using the three standard deviation criterion, the last observation (x=43) would be considered an outlier" is true.

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The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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Step-by-step explanation:

(g. h)(-4) = g(4).h(4)

= [2(4)-1].[3(4)-1]

=7×11

=77

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

Answer:

The population can be divided into strata so that the individuals in each stratum are as much alike as possible.

Step-by-step explanation:

In short, if you can group the population into subgroups and are interested in their sub properties, then use stratified random sampling. If not, and interested only in the entire population as a whole, then use simple random sampling.

Simple random sampling, as the name suggests, is simply sampling randomly from the population. It doesn't make any assumptions of sub-classifications about the given population and is only interested in sampling the population as a whole representative.

Stratified random sampling, as the name suggests, does sampling on strata( parts or subgroups divided in the population). The sampling then is done from each group proportionate to the group's size versus the population size.

  One example is when you've got red, green and blue colored balls as the population and you want to sample the population based on colors, then the colored groups are strata and thus, the sampling will be done on subgroups and such type of sampling will be called as stratified random sampling.

Simple random sampling doesn't care about sub-properties in the population. It consider the population as whole and doesn't differentiate classes in the population, unlike stratified random sampling.

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The most accurate statement about a binomial random variable is that it counts the number of successes in a given number of trials. This statement is represented by option C.

A binomial random variable is a discrete random variable that models the number of successes in a fixed number of independent Bernoulli trials. Each trial has two possible outcomes: success or failure. The probability of success remains constant across all trials, denoted by the parameter p. The number of trials is denoted by n.

The binomial distribution is characterized by its probability mass function (PMF), which calculates the probability of observing a specific number of successes in the given number of trials. The shape of the binomial distribution is not necessarily bell-shaped, as stated in option A, but rather exhibits a peaked or skewed distribution depending on the values of p and n.

Option B, stating that a binomial random variable is a continuous random variable, is incorrect. Binomial random variables are discrete, meaning they can only take on whole number values. Continuous random variables, on the other hand, can take on any value within a specified range.

Option D, stating that a binomial random variable counts the number of successes in a specified time interval or region, is not accurate. Binomial random variables are concerned with counting successes in a fixed number of trials, not specifically related to a time interval or region.

In summary, the most accurate statement is that a binomial random variable counts the number of successes in a given number of trials, making option C the correct choice.

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So as mentioned in the condition we have to go on the same lane then have to increase out speed by 5mph or more to drive safely on the lane or else you can go to other lane where others speeds is same as or less than you speed.

You are technically in violation of the law. However, concurrently... You are a roadblock and will put other drivers in greater risk than you would by "flowing with the flow" if the average speed of traffic is 70 mph or more and you insist on driving at 65 mph.

Many vehicles are approaching you at 5 mph or more. A rear-end collision that may involve numerous cars might happen in the span of a split second of inattention.

The letter of the law and common sense are two different things.

If you're uncomfortable keeping up with the traffic flow... Take a different path. or else go speed up to go with others flow .

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Step-by-step explanation:

f(3)= -2*3^2 +3 -5

= -2*9 +3 -5

= 16

Answer:

it is a right angle triangle therefore

h²=b²+p²

8²=4²+p²

64-16=p²

48=p²

under root 48 =p

6.928

so 6.93 is the answer

The sheet-changing habits of a sample of 20 adults were surveyed and analyzed to estimate the sheet-changing habits of the general population. The mean and standard deviation were calculated, and a 95% confidence interval was constructed.

First, we can calculate the mean of the sample to determine the average sheet-changing frequency among the adults surveyed. To do this, we add up the sheet-changing frequencies for each adult and divide by the total number of adults:

Mean sheet-changing frequency = (frequency for adult 1 + frequency for adult 2 + ... + frequency for adult 20)/20

= (7 + 14 + ... + 28)/20

= X/20

Next, we can calculate the standard deviation of the sample to determine the degree of variation in sheet-changing habits among the adults surveyed.

Sum of squares of differences = ∑(sheet-changing frequency - mean sheet-changing frequency)²

For each adult in the sample, we can calculate the difference between their sheet-changing frequency and the mean frequency:

Adult 1: 7 - X

Adult 2: 14 - X

.

.

.

Adult 20: 28 - X

The sum of squares of differences is then:

Sum of squares of differences \(= (7 - X)^2 + (14 - X)^2 + ... + (28 - X)^2\)

We can then divide the sum of squares by the degrees of freedom (20-1=19) and take the square root to calculate the standard deviation:

Standard deviation = √((sum of squares of differences)/(degrees of freedom))

= √((X)/19)

= Y

To calculate the confidence interval, we can use the following formula:

Confidence interval = mean ± (critical value * standard deviation/√(sample size))

The critical value can be obtained from a t-table based on the desired confidence level and degrees of freedom. For a 95% confidence interval with 19 degrees of freedom, the critical value is 2.093.

Plugging in the values for the mean, standard deviation, and critical value, we can calculate the 95% confidence interval for the population mean sheet-changing frequency:

Confidence interval = X ± (2.093 * Y/√20) = X ± Z

The confidence interval gives us an estimated range for the population mean sheet-changing frequency, with a 95% level of confidence. This can be useful in understanding the sheet-changing habits of the general adult population, based on the sample data collected.

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Answer: where is the figure tot he right???

Step-by-step explanation:

6 number of stickers diana given to her sister.

A division is a process of splitting a specific amount into equal parts.

Diana had 41 stickers and she put them in 7 equal groups. To find out how many stickers she put in each group, we can divide 41 by 7:

41 ÷ 7 = 5 with a remainder of 6

This means that Diana put 5 stickers in each of the 7 groups, and she had 6 stickers leftover.

She gave the leftover stickers to her sister, so she gave her sister 6 stickers.

Hence, 6 number of stickers  diana given to her sister.

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Answer:

a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2

b) 120°

c) sin = -1/2 = -30° or 330° both are same

Use the trig circle which i have included in the answer to better understand trig angles

hope that answers your question

I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.

good luck!!

Answer:83999955 because of the gravity

Step-by-step explanation:

To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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26400 is what they travel in feet in a day divide that by 24 and that should be your answer

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\(7( - 2x + 4) = - 4x\)

\( - 14x + 28 = - 4x\)

Add sides 4x

\( 4x - 14x + 28 = 4x - 4x\)

\( - 10x + 28 = 0\)

Subtract sides 28

\( - 10x + 28 - 28 = - 28\)

\( - 10x = - 28\)

Negatives simplifies

\(10x = 28\)

Divided sides by 10

\( \frac{10}{10}x = \frac{28}{10} \\ \)

\(x = 2.8\)

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Answer:

j RJ irjcirkcks he ed dew wh he x vhg

Step-by-step explanation:

jrjrirjcjrjifjrjfjjfwodoqldmfjrj

Answer:

($8.16 is the taxes) ($110 is how much she paid without taxes)

Step-by-step explanation:

Susie bought 4 pairs of pants. Her total bill, including tax was

$110.16. If each pair of pants cost $25.50 before tax was added,

what tax rate did Susie pay on the pants?

Susie buys 4 pairs of pants. And individually each pair costed $25.50. What I did was multiply 25.50 by 4, and I got 102. Now subtract the 110.16 and 102 and u get 8.16 which that's the taxes.

The probability that a randomly selected utility bill is,

a) P(X < 68) ≈ 0.016 or 1.6%

b) P(81 < X < 90) ≈ 0.1476 or 14.76%

c) P(X > 120) ≈ 0.0912 or 9.12%

To find the probability in each case, we can use the standard normal distribution by converting the given values into z-scores.

a) To find the probability that a randomly selected utility bill is less than $68, we need to find P(X < 68). First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

z = (68 - 100) / 15 = -2.1333

Using a standard normal distribution table or a calculator, we can find the corresponding cumulative probability for z = -2.1333, which is approximately 0.016. Therefore, the probability P(X < 68) is approximately 0.016 or 1.6%.

b) To find the probability that a randomly selected utility bill is between $81 and $90, we need to find P(81 < X < 90). We calculate the z-scores for both values:

z1 = (81 - 100) / 15 = -1.2667

z2 = (90 - 100) / 15 = -0.6667

Using the standard normal distribution table or a calculator, we find the cumulative probability for z1 and z2: P(z1) ≈ 0.1038 and P(z2) ≈ 0.2514. Then, we subtract P(z1) from P(z2) to find the probability between the two values:

P(81 < X < 90) ≈ P(z1 < Z < z2) ≈ P(z2) - P(z1) ≈ 0.2514 - 0.1038 ≈ 0.1476 or 14.76%.

c) To find the probability that a randomly selected utility bill is more than $120, we need to find P(X > 120). We calculate the z-score:

z = (120 - 100) / 15 = 1.3333

Using the standard normal distribution table or a calculator, we find the cumulative probability for z = 1.3333, which is approximately 0.9088. Since we want the probability of X to be greater than 120, we subtract this value from 1:

P(X > 120) ≈ 1 - P(z) ≈ 1 - 0.9088 ≈ 0.0912 or 9.12%.

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Answer:

the answer is C

Step-by-step explanation:

on the graph when the x axes is at 0 the y axes is already at 2 so he bought it without 2000 miles on it already

If a prism's base is a regular \(n\)-gon, then the prism has 2 regular \(n\)-gon faces, n squares, 3n edges, and 2n vertices. This is because a prism has a top face, a bottom face, and n square faces.

1. If a prism's base is a regular \(n\)-gon, then it has \(n\) vertices on the base.

2. If the base has n vertices, then there will be n edges connecting those vertices.

3. The prism has two regular n-gon faces and n square faces. Therefore, it has 2n vertices and 3n edges.

4. A prism with base a regular n-gon has 2n + n = 3n faces, where 2n are the bases and n are the square faces. Therefore, it has n square faces.

If a prism has a regular polygon as its base with n sides, it will have n vertices, n edges, and n squares. A prism is a solid object that has a top face, a bottom face, and other flat faces that are usually parallelograms or rectangles.

The base is the shape that is repeated in the prism, and it can be any polygon. In this case, we're talking about a regular polygon, which is a polygon with all sides and angles equal in measure.

A regular polygon with n sides has n vertices. Therefore, a prism with a regular n-gon base has n vertices. The number of edges in a prism is found by counting the edges on the base and the edges that connect the corresponding vertices of the base.

So, a prism with a regular n-gon base has n edges on the base and n more edges that connect the corresponding vertices of the base, giving a total of 2n edges.The number of faces in a prism is the sum of the top and bottom faces and the number of lateral faces.

A prism with a regular n-gon base has two n-gon faces and n square faces. Therefore, the total number of faces is 2n + n = 3n faces.

Thus, we have that if a prism's base is a regular n-gon, then the prism has 2 regular n-gon faces, n squares, 3n edges, and 2n vertices.

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Answer:

D

Step-by-step explanation:

Answer:

628.298507463

Step-by-step explanation:

Answer:

628.298507463

brainliest? XD

Answer:

Its EFBGCAHDI

Answer:

4+12+20=j

3+9+15=m

j(answer) + m(answer)

Step-by-step explanation:

Answer:

I believe that the proper answer you would be looking for is...

Step-by-step explanation:

the measure of angle 2 would make this a prime factor of the factor tree and than you would use the 3 which is also a prime factor to make sure that 132 is prime if it is not prime you can not find the measure of angle 2.

but actually its congurent to 132 so its 132