Subtract 4 from any element's value that is greater than maxval. Ex: if maxval = 10, then datapoints = {2, 12, 9, 20} becomes {2, 8, 9, 16}.

The area of smaller square is 81

a) 1771 dollars. b) approximately 1799.33 dollars. c) the MSE for the 2-period moving average is 324, while the MSE for the 3-period moving average is approximately 106.59.

To calculate the forecast for Week 16 using a 2-period moving average and a 3-period moving average, we need to take the average of the previous sales data.

Week 16: Actual sales (to be forecasted)

a. 2-period moving average:

To calculate the 2-period moving average, we take the average of the sales from the two most recent weeks.

2-period moving average = (Week 15 sales + Week 14 sales) / 2

2-period moving average = (1789 + 1753) / 2

                       = 3542 / 2

                       = 1771

b. 3-period moving average:

To calculate the 3-period moving average, we take the average of the sales from the three most recent weeks.

3-period moving average = (Week 15 sales + Week 14 sales + Week 13 sales) / 3

3-period moving average = (1789 + 1753 + 1856) / 3

                       = 5398 / 3

                       ≈ 1799.33

c. Mean Squared Error (MSE) comparison:

MSE measures the average squared difference between the forecasted values and the actual values. A lower MSE indicates a better fit.

To calculate the MSE for each model, we need the forecasted values and the actual sales values for Week 16.

Using a 2-period moving average:

MSE = (Forecasted value - Actual value)^2

MSE = (1771 - 1789)^2

   = (-18)^2

   = 324

Using a 3-period moving average:

MSE = (Forecasted value - Actual value)^2

MSE = (1799.33 - 1789)^2

   = (10.33)^2

   ≈ 106.59

Based on the MSE values, the 3-period moving average model provides a better forecast for Week 16. It has a lower MSE, indicating a closer fit to the actual sales data. The 3-period moving average considers a longer time period, incorporating more historical data, which can help capture trends and provide a more accurate forecast.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

g(-4) = 8

Step-by-step explanation:

If x = -4, we would use the expression of the limit "if x is less than or equal to -1" since x is just that.

We would then plug in our x value into the expression and solve for g(x)

g(x) = -x + 4 -->  -(-4) + 4 = 4 + 4 = 8

The 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

To determine the 10%-90% rise time of a response, we need to find the time it takes for the response to go from 10% of its steady-state value to 90% of its steady-state value.

Looking at the graph or response data provided, we can estimate that the steady-state value of the response is approximately 1.4.

10% of 1.4 is 0.14, and 90% of 1.4 is 1.26.

So we need to find the time it takes for the response to go from 0.14 to 1.26.

By examining the graph or data, we can see that this occurs between t = 0.9 seconds and t = 1.2 seconds.

The difference between these two times is:

1.2 - 0.9 = 0.3 seconds

Therefore, the 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

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A study that is made in one point of time is a study is a Cross-sectional study.  A hypothesis explains the results found when testing a theory.  The correct option is c.  contributes to the occurrence of a phenomenon.

1. A cross-sectional study involves comparing differences between different groups or populations at a single point in time. It can involve observational or experimental study designs.

2. The statement that is not true about the hypothesis is: A hypothesis explains the results found when testing a theory.

A hypothesis is an educated guess about what will happen in a research study. It is an assumption or prediction about a relationship between two variables that can be tested scientifically.

3. The correct option is c. Science has to do with how things are and why. Science is a systematic approach that involves formulating hypotheses, collecting and analyzing data, and making conclusions based on empirical evidence.

It deals with the natural world and attempts to explain phenomena by identifying patterns, making predictions, and testing hypotheses.

4. A condition that must be present in order for an effect to follow is necessary cause.

A necessary cause is a condition that must be present in order for an effect to follow. It is an essential factor that contributes to the occurrence of a phenomenon.

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Answer:

1,6,2 and 5

Step-by-step explanation:

(2x/5)² . (1x⁴/4)^-1

=(2²x²/5²) . (4/x⁴)

=4x²/25 × 4/x⁴

= 16/25x²

Answer:

Yes.

Step-by-step explanation:

We need to make sure that we match up the right sides before checking for proportionality.

From the picture, we can see that SRT pairs with MLN.

It's easier to see if you draw a diagram of MLN on paper with the same orientation as SRT.

Were you to do this, you would see that as SR lies on the left side of SRT, so does MLN lie on the left side of ML.

Also, both ST of SRT and MN of MLN lie on the right side and RT of SRT and LN of MLN are the base.

Thus, the proportions are

\(\frac{SR}{ML}=\frac{ST}{MN}=\frac{RT}{LN} \\\\\\\frac{3.61}{5.415}=\frac{2}{3} \\\\\frac{9.71}{14.564}=\frac{2}{3}\\ \\ \frac{11.97}{17.955}=\frac{2}{3}\)

Since all the ratios simplify to 2/3 and are equal, the sides are proportional.

The speed of the train is 28.5 miles per hour.

According to given condition :

One possible equation to solve for the speed of the train is:

speed = distance / time

In this case, the distance is 285 miles, and the time is 10 hours. Plugging in those values, we get:

speed = 285 / 10

Simplifying this expression, we get:

speed = 28.5

Therefore, the speed of the train is 28.5 miles per hour.

What is equation ?

An equation is a mathematical statement that shows that two expressions are equal. Equations typically use variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.

For example, an equation might be:

2x + 3 = 7

This equation means that if we multiply x by 2 and then add 3, we get 7. The solution to this equation is x = 2, since if we substitute x = 2 into the equation, we get:

2(2) + 3 = 7

4 + 3 = 7

7 = 7

which is true.

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Answer:

a): A line has a total degree of 180. So just subtract it. 180-92 is

y=88

b): Similar to the previous, a right angle has a total angle of 90. 90-45=45.

y=45.

These are all the ones I can figure out. I hope someone else can get c) and d).

Answer:

67°

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the measure of the remote exterior angle. m∠x=(4n−18)°, m∠y=(n+8)°, m∠z=(133−6n)° angle Z being the exterior angle.

Before we can get the exterior angle Z, we need to first calculate the value of n.

In geometry, the sum of interior angles is equal to the remote exterior angle.

m∠z = m∠x + m∠y

(133-6n)° = (4n-18)°+(n+8)°

133-6n = 4n-18+n+8

-6n-4n-n = -18-133+8

-11n = -143

n = 143/11

n = 13°

Since the exterior angle m∠z =(133-6n)°

Substituting n = 11 into the equation will give:

m∠z = 133-6(11)

m∠z = 133-66

m∠z = 67°

The remote exterior angle is 67°

Answer: 55

Step-by-step explanation:

Answer:

\(22x^{2} y - 55xy^{2} = 11xy*(2x-5y)\)

Answer:

x = 25

Step-by-step explanation:

The sum of the three interior angles of a triangle is always 180°.

4x + 2x + 30 = 180

6x + 30 = 180

6x = 150

x = 25

Answer:

sum of the interior angles of a triangle =180

2× + 4× + 30=180

6× + 30= 180

6× + 30 = 180

6× = 180-30

6× =150

6×/6=150/6

×= 25

Answer:

\(A=81\pi $ m^2\)

Step-by-step explanation:

Circumference of the column \(=18\pi $ meters\)

Circumference of a circle\(=2\pi r\)

Therefore:

\(2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters\)

Area of a Circle \(=\pi r^2\)

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

\(=\pi *9^2\\=81\pi $ m^2\)

Answer:

81pi

Step-by-step explanation:

Ethan is in the process of constructing an equilateral triangle. So, option(A) is the correct answer.

Circle:

Polygon:

Triangle:

Therefore, Ethan is in the process of constructing an equilateral triangle.

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The complete question is:

Ethan is using his compass and straightedge to complete the construction of a polygon inscribed in a circle. Which polygon is he in the process of constructing?

1. An equilateral triangle

2. A square

3. A regular pentagon

4. A regular hexagon

Answer:

True:

The solution is the product of two factors.

The second factor is itself the sum of three terms.

False:

The solution is the sum of two terms.

The coefficient is 3.  (This one I'm confused about. There is no x/letter term, so there shouldn't be a coefficient in this problem at all.)

The second factor is the sum of two terms.

The average cost of all seats in the theater is $10.71

Given:

cost per seat x    number of available seats f        x × f

$5                                         22                                 110

$10                                        14                                  140

$15                                        10                                  150

$20                                       10                                  200

.........................................................................................................

Sum                                      56                                  600

..........................................................................................................

average cost of all seats = (sum of x × f) /sum of number of available seats

average cost of all seats = 600/ 56 = $10.71

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2 x 10-7  is the probability of drawing a T, replacing it, then drawing a C.

What is Probability?

Probability is simply the chance that something will happen. Whenever the outcome of an event is uncertain, we can speak of the probability, or likelihood, of a particular outcome. Analyzing events according to their probabilities is called statistics. 

There are 11 letters in MATHEMATICS which consist of 2 each of M, A and T and 1 each of H, E, I, C and S.  

P(M on 1st choice) = 2/11   since there are 2 M's out of 11 letters

P(A on 2nd choice) = 2/10   since there are 2 A's out of 10 remaining letters

P(T on 3rd choice) = 2/9     since there are 2 T's out of 9 remaining letters

At this point there are 8 letters remaining which are all distinct so they must be chosen in the correct order

P(H on 4th choice) = 1/8

P(E on 5th choice) = 1/7

P(M on 6th choice) = 1/6

P(A on 7th choice) = 1/5

P(T on 8th choice) = 1/4

P(I on 9th choice) = 1/3

P(C on 10th choice) = 1/2

P(S on 11th choice) = 1/1  

The probability of spelling the word correctly is the product of all the probabilities

P = 2*2*2 / 11! = 8 / 39916800 = 1 / 4989600 ~ 2 x 10-7

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Answer:

103.889

Step-by-step explanation:

I hope this helps :)

By alternating internal angles, angles 1 and 2 are equivalent.

What does the triangle's angle sum property entail?

According to the triangle's "angle sum property," the inner angles of a triangle add up to 180 degrees.

1. Angles 1 and 2 complement one another. Angles 2 and 3 compliment one another.

These angles are linear, hence their sum is 180 degrees.

2.m angle

Angle 1 + m2 Equals 90° Angle m2 + m3 = 90°

Equals makes a straight angle

3. m angle1 plus m angle2 equals m angle2 plus m angle3

= 180 degrees when the total of the two sides

4. m angle2 equals m angle

= The total of the two sides is equal

5. m angle1 = m angle3

= The total of the two sides is equal

6.Angle1 and Angle3 are congruent.

Alternate interior angles are what they are.

Angle 1 and Angle 3 are therefore equivalent based on the triangle's characteristics.

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The number of small boxes that will fill the truck will be 144 boxes

The formula for calculating rectangular box is expressed as:

V = LWH

L is the length

W is the width

H is the height

For the large box

Volume = 12 * 18 * 16

Volume = 3,456 cubic inches

For the small box:

Volume of the small box = 3 * 2 * 4

Volume of the small box = 24 cubic inches

Number of small boxes that will fill the truck = 3456/24

Number of small boxes that will fill the truck = 144

Hence the number of small boxes that will fill the truck will be 144 boxes

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Answer:

Step-by-step explanation:

To graph the equation 3y = -6x - 12, we can start by finding the x and y intercepts.

The x-intercept is the point where y = 0, so we can substitute 0 for y in the equation:

3y = -6x - 12

3 * 0 = -6x - 12

0 = -6x - 12

12 = -6x

x = -2

So the x-intercept is (-2, 0).

The y-intercept is the point where x = 0, so we can substitute 0 for x in the equation:

3y = -6x - 12

3y = -6 * 0 - 12

3y = -12

y = -4

So the y-intercept is (0, -4).

Now that we have the x and y intercepts, we can plot the points on the graph and draw a line that passes through both points. This line will be the graph of the equation.

In this case, the graph of the equation 3y = -6x - 12 is a downward sloping line that passes through the points (-2, 0) and (0, -4).

Answer:

560 cubes

Step-by-step explanation:

width: 8 cubes

length: 10 cubes

height: 7 cubes

volume: 8*10*7=560

divided l, w, and h by 1/3 to get them in cubes

Answer:

Step-by-step explanation:

The awnser is multiply by 9 then multiply by 2

To determine whether a critical point is a relative minimum or maximum using concavity, we need to examine the second derivative of the function at the critical point.

If the second derivative is positive, then the function is concave up, meaning it is shaped like a bowl opening upwards. At a critical point where the first derivative is zero, this indicates a relative minimum, as the function is increasing on either side of the critical point.

On the other hand, if the second derivative is negative, then the function is concave down, meaning it is shaped like a bowl opening downwards. At a critical point where the first derivative is zero, this indicates a relative maximum, as the function is decreasing on either side of the critical point.

If the second derivative is zero, then the test is inconclusive and further analysis is needed, such as examining higher order derivatives or using other methods such as the first derivative test.

Therefore, the concavity test is a useful method for determining the nature of critical points and whether they represent a relative minimum or maximum.

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Complete question is:

What we need to examine for a method for determining whether a critical point is a relative minimum or maximum using concavity.

The divergence of the vector field F(x, y, z) is:

\(div F = -44y cos(11xy) + x^6 sin(x^6y)\)

We have,

To calculate the divergence of the vector field

\(F(x, y, z) = -4sin(11xy)i - cos(x^6y)j,\)

we need to compute the partial derivatives with respect to each variable and then sum them up.

The divergence of F is given by:

div F = ∂/∂x (Fx) + ∂/∂y (Fy) + ∂/∂z (Fz)

where Fx, Fy, and Fz are the x, y, and z components of the vector field F, respectively.

Let's calculate each component separately:

Fx = -4sin(11xy)

∂/∂x (Fx) = -4 * (∂/∂x (sin(11xy)))

= -4 * (11y * cos(11xy))

= -44y * cos(11xy)

Fy = -cos(x^6y)

∂/∂y (Fy) = - (∂/∂y (cos(\(x^6\)y)))

= - (-\(x^6\) * sin(\(x^6\)y))

= \(x^6\) * sin(\(x^6\)y)

Fz = 0 (since there is no z component in the vector field)

Now we can substitute these results back into the divergence formula:

div F = ∂/∂x (Fx) + ∂/∂y (Fy) + ∂/∂z (Fz)

\(= -44y * cos(11xy) + x^6 * sin(x^6y) + 0\\= -44y * cos(11xy) + x^6 * sin(x^6y)\)

Therefore,

The divergence of the vector field F(x, y, z) is:

\(div F = -44y cos(11xy) + x^6 sin(x^6y)\)

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Answer:

11x = 19

Step-by-step explanation

5x + 2y = 5  and 3x - y = 14

5x + 2(3x -14) =5 and y = 3x -14

5x + 6x -  28 = 5 and  y = 3x -14

11x = 33  and y = 3x -14

x = 3 and y = 3 x 3 -14 = -5

11x =19 <=> x = 11/19 (F)

11x = 33 <=> x= 3 (T)

11y = -55 <=> x= -5 (T)

Answer:

Step-by step solution:

Step-1: Subtract 3 both sides.

Step-2: Multiply 12 both sides.

Step-3: Cancel out the denominator and the numerator.

Hence, the solution to the equation is 'x = 48'.

Hoped this helped.

\(BrainiacUser1357\)

P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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