find the value of x ​

The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."

The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.

The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.

Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n

Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value

The sum of forecast errors is also known as total forecast error.

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Answer:

Total distance = 6,540,000 km

Step-by-step explanation:

Given

Number of bicycles = 9,000,000

Average Distance = 6.5 km (to 1 d.p)

Required

Calculate the upper bound of all bicycle distance

First, we need to determine the range of the distance traveled by each bicycle;

Since, the average distance is approximated, then the Range is:

\(Range = (6.45km\ to\ 6.54km)\)

All number in this range approximate to 6.5km

Note that the upper bound of the range is 6.54km;

Hence, total distance is calculated as thus;

\(Total\ distance = Number\ of\ bicycle * upper\ bound\)

\(Total\ distance = 1,000,000 * 6.54km\)

\(Total distance = 6,540,000km\)

From the solution of algebraic equations, the value of x that will make the equation modeled in attached figure true is equals to the \( \frac{5}{4}.\)

Algebraic equations are equations that contain only algebraic operations, such as addition, subtraction, multiplication, and division. Word problems, are example of algebraic equations. Now, we have the equation model as present in attached figure. To solve this problem, we have to drive an equation based on figure, wherein the value of the left side of the figure is equivalent to the value on the right side of the figure.

Similarly consider the right side of the figure. It contains four triangles (each value -x) and 6 circles (each value 1). The right side expression is represented as 4x + 6. Now, equate the representations on both sides for determining the value of x. So, \(4x -4 = 6 - 4x\)

=> \(4x + 4x = 6 + 4 \)

=> \(8x = 10 \)

=> x = \( \frac{5}{4} \)

Therefore, to make the equation true, the value of x is \( \frac{5}{4}.\)

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Complete question:

The attached figure complete the question.

Answer:

James = 1 year

Austin = 5 years

Step-by-step explanation:

Let James age = x

Let Austin's age = y

James is four years younger than Austin.

x = y - 4

If three times James age is increased by the square of Austin's age, the result is 28.

3(x - 4) + y² = 28

Hence,

Note: x = y - 4

Hence,

3y - 12 + y² = 28

3y + y² - 12 - 28 = 0

y² + 3y - 40 = 0

y² + 8y - 5y - 40 = 0

y(y + 8) - 5(y + 8 ) = 0

(y + 8)(y - 5)

y = -8

y = 5 years

x = y - 4

x = 5 - 4

x = 1 years.

True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is

and the line equation will be:

For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:

and the line equation will be:

For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero

The bar diagram of the values is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The equation of the above details cannot be determined

This is so because the parameters do not represent a relation

Next, we make the bar graph

See attachment for the bar graph

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Answer: A  streetlight casts a shadow 15 feet long. At the same time, a 18-foot flag pole casts a shadow 10 feet long. How tall is the tree? | Socratic A tree casts a shadow 15 feet long.

Answer:

T = 1 + 1.5x

Step-by-step explanation:

Based on the information provided and we can subtract the time and rain gauge at the end of the data with the time and rain gauge at the beginning. This tells us that in 4 hours the rain increased by 6 inches. If we divide these two values we get.

6 inches / 4 hours = 1.5 inches per hour

We now see that rain has been accumulating at a rate of 1.5 inches per hour. We can use this info to create a linear model where we multiply this rate by the number of hours that have passed (x) after 1 hour which would give us the total amount of rain (T)

T = 1 + 1.5x

Answer: -4/5

Step-by-step explanation:

Any positive number/fraction multiplied by -1 will become negative

the time it would take for person 1 and person 2 to complete the task together is 2xy / (x + y) hours

If person 1 can do a task in x hours and person 2 can do the same task in y hours, then the combined rate at which they can complete the task is:

rate = 1/x + 1/y

This is because each person's rate of completing the task is the reciprocal of their time to complete the task, and their combined rate is the sum of their individual rates.

To find the time it would take for both persons to complete the task working together, we can use the formula:

time = 1 / rate

Substituting the expression for the rate above, we get:

time = 1 / (1/x + 1/y)

Simplifying this expression, we can use the formula for the harmonic mean of two numbers:

time = 2xy / (x + y)

Therefore, the time it would take for person 1 and person 2 to complete the task together is 2xy / (x + y) hours

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Answer:

27 days.

Step-by-step explanation:

Find 1% out of the 30-day period.

100% = 30 days

1% = 30 ÷ 100 = 0.30

Now find the percentage reported that had measurable snowfall which is 90%.

90% = 0.30 x 90 = 27

Out of the 30-day period, only 27 days received measurable snow.

here this probally will help

Answer:

5, 3

Step-by-step explanation:

The required expression is v(t) = 80,000 - $6000t

Cost of the truck =  $80,000

Depreciation rate = $6000/year

Cost price is that price for buyer which he pays to seller for an object or product.

Required expression-

m = $6000
t = time in years
b = original price
v(t) = mt + b
v(t) = -$6000t + $80000

negative sign for depreciation

Thus, the required expression is v(t) = 80,000 - $6000t

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Answer:

C2H2 + 3O2 ---> 2CO2 + 2H2O

Step-by-step explanation:

Answer:

\(\frac{27}{5} \pi m^{2}\)

Step-by-step explanation:

60cm must be convert into metres

60/100 =0.6

\(\pi r^{2} h\)=volume of cylinder

\(\pi( 3^{2}) (0.6)\)

= \(\frac{27}{5} \pi m^{2}\)

Answer:

16.96 cubic meters

Step-by-step explanation:

FORMULA>>>  V= H x PI x R^2

Step 1 fill in the Equation

V= 60cm X 3.14 X 3M^2

Step 2 Solve you can look up how many centimeters are in a meter which is 100 CM in 1 M

.6M X 3.14 X 3M^2

Hence the answer is 16.96 cubic M

Answer:

\( \frac{ 3}{4} \times 100\% \\ 75\%\)

The angle identities cos (A+B) = cos A cos B - sin A sin B.

To complete the angle identity cos (A + B), we can use the cosine angle addition formula:

cos(A+B)=cosA.cos B-sinA.sinB

This formula represents the cosine of the sum of two angles in terms of the cosines and sines of the individual angles.

It's important to remember that A and B should be in radians, not degrees, when using this formula.

If you have specific values for A and B, please provide them so I can assist you further in evaluating the expression.

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The factors of the trinomial are:

Options C and E

This is further explained below.

Generally, A trinomial is a kind of polynomial that is used in basic mathematics. It is composed of three components, also known as monomials.

In conclusion, The following expressions are the components of the trinomial: x - 7, x + 2

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Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Step-by-step explanation:

The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.

To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.

Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:

Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420

Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.

a) u(x) = 10 - 10x^4 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18

b) u(x) = 1 - 0.25 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35

c) u(x) = 5 - 2x^4 + x/300

If we substitute x = $420 into this utility function, e get:

u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16

d) u(x) = 0.25**(x/200)

If we substitute x = $420 into this utility function, we get:

u($420) = 0.25**(420/200) ≈ 0.063

Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.

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Answer:

Since it is area, it is most defined as base times height, so the larger rectangle would be 9x14 which is 126 and the smaller rectangle is 6x8 which is 48, and since they are together in one shape, you can add both areas which would give you an answer of 174

Step-by-step explanation:

The price-earnings ratio of the stock is 16.6. P/E ratios can vary widely across industries, so it's important to compare a stock's P/E ratio to other companies in the same industry.

The price-earnings ratio (P/E ratio) is calculated by dividing the stock price by the earnings per share (EPS). In this case, the EPS is $2.50 and the stock price is $41.50. So, the P/E ratio is:
P/E ratio = Stock price / EPS
P/E ratio = $41.50 / $2.50
P/E ratio = 16.6
Therefore, the price-earnings ratio of the stock is 16.6.

The price-earnings ratio is an important metric used by investors to evaluate the value of a stock. It reflects the amount that investors are willing to pay for each dollar of earnings generated by the company. A high P/E ratio may indicate that investors have high expectations for the company's future earnings growth, while a low P/E ratio may indicate that investors have lower expectations. In the case of National Advertising, the company had earnings of $2.50 per share last year and its stock price was $41.50 as of yesterday's close. By dividing the stock price by the EPS, we can calculate the P/E ratio, which is 16.6. This means that investors are willing to pay $16.60 for every dollar of earnings generated by the company. It's important to note that the P/E ratio should not be used in isolation when evaluating a stock. Other factors, such as the company's growth prospects, financial health, and industry trends, should also be taken into account.

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Answer:

132 degrees.

Step-by-step explanation:

Let the supplement be x and the angle be y.

x + y = 180 degrees.

y = (3x - 12) degrees.

x + 3x - 12 = 180

4x = 192

x = 48 degrees

y = 132 degrees

Hope this helped!

If two dice are rolled one time, the probability of getting a sum greater than 6 and less than 12: 13/18. The correct option is a.

To find the probability of getting a sum greater than 6 and less than 12 when two dice are rolled, we need to determine the favorable outcomes and divide them by the total possible outcomes.

The total number of outcomes when two dice are rolled is 6 x 6 = 36 (since each die has 6 faces).

To find the favorable outcomes, we need to count the number of ways to get a sum greater than 6 and less than 12. The possible sums in this range are 7, 8, 9, 10, and 11.

For a sum of 7, there are 6 favorable outcomes: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

For a sum of 8, there are 5 favorable outcomes: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

For a sum of 9, there are 4 favorable outcomes: (3, 6), (4, 5), (5, 4), and (6, 3).

For a sum of 10, there are 3 favorable outcomes: (4, 6), (5, 5), and (6, 4).

For a sum of 11, there are 2 favorable outcomes: (5, 6) and (6, 5).

Adding up the favorable outcomes, we get 6 + 5 + 4 + 3 + 2 = 20.

Therefore, the probability of getting a sum greater than 6 and less than 12 is 20/36 = 5/9. The correct option is a.

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The estimated standard deviation of the population is approximately 0.133 (rounded to 3 decimal places).

To estimate the standard deviation of the population, we will use the formula of the standard deviation using the sample means, also known as the standard error. The formula gives the standard error (SE):

SE = (s / √n)

Where:

s is the standard deviation of the sample means

n is the sample size

In this case, we know, the mean of the sample ranges is 0.8, but we don't have the exact sample data. As a result, we are unable to calculate the standard deviation (s).

However, we can an assumption that the sample ranges are normally distributed, which gives us the idea to use the relationship between the range and the standard deviation. For normally distributed data, the range is approximately equal to 6 times the standard deviation. Mathematically, we can express this as:

Range ≈ 6s

Given that the mean of the sample ranges is 0.8, we have the following:

0.8 ≈ 6s

Now, let's solve for s:

s ≈ 0.8 / 6 ≈ 0.133

So, the estimate of the population's standard deviation is approximately 0.133 (rounded to 3 decimal places).

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Answer:

52

Step-by-step explanation:

f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into

f(n-1)²+3 to get

f(1)²+3 = 2²+3 = 4+3=7

Thus, f(2) =7. Similarly,

f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52

Answer:

a) P(X=x) = p× (1-p)^(x-1)

b) P(X=3) = 0.081

c) P(X≤5) = 0.40951

d) Mean of X= 10

e) Var(X)= 90

Step-by-step explanation:

This is a question on geometric distribution.

In geometric distribution, we have two possible outcomes for each trial (success or failure) for independent number of binomials series trial. Also the probability of success is constant for each trial.

This discrete probability distribution is represented by the probability density function: f(x) = p× (1-p)^(x-1)

For a random variable with a geometric distribution, we do not know the number of trials we will have = {1, 2, 3, ...}

We stop the trials when we get a success.

From the question, there are 10 numbers

The probability of success = p = 1/10

For the solutions of the question from (a-e), See attachment below.

f(x) = P(X= x)

Where P(X= x) is the probability of X taking on a value x