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Motor neurons can be part of both the voluntary and involuntary nervous systems.

Motor neurons are specialized nerve cells that transmit signals from the brain and spinal cord to muscles and glands, enabling movement and other bodily functions. They are divided into two main types: upper motor neurons and lower motor neurons. Upper motor neurons originate in the brain and primarily control voluntary movements, while lower motor neurons originate in the spinal cord and are responsible for involuntary movements. This dual functionality allows motor neurons to participate in both the voluntary and involuntary nervous systems.

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Answer:

73 degrees

Step-by-step explanation

All quadrilaterals have interior angles that add up to 360 degrees

The sum of all the angles in a quadrilateral, a four-sided shape is 360 degrees, so we get the equation:

   \(x + 127 +87 + 73 = 360\\x + 287 = 360\\x = 73\)

Therefore x = 73.

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Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time

What is used to periodically check that a process is in statistical control?

a. sampling

b. scrap parts

c. the process is only measured in the beginning 100 percent inspection.

a. Sampling is used to periodically check that a process is in statistical control.

Statistical process control (SPC) is a technique used in quality control to monitor and control a process over time. SPC involves collecting and analyzing data on the process, and using statistical methods to determine whether the process is in statistical control (i.e., producing consistent and predictable results) or is out of control (i.e., producing inconsistent or unpredictable results).

One way to monitor a process using SPC is to use sampling. This involves taking a sample of parts or products from the process at regular intervals, and measuring certain characteristics of the sample (such as dimensions, weight, or color). The data collected from the samples can then be analyzed using statistical methods to determine whether the process is in control or out of control.

If the data collected from the samples indicates that the process is out of control (i.e., producing inconsistent or unpredictable results), corrective action can be taken to bring the process back into control. By regularly monitoring and adjusting the process using SPC techniques like sampling, organizations can ensure that their processes are producing consistent and high-quality results.

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Answer:

Hey there!

When reflecting across both axis, we switch up the signs but keep the order of the coordinates.

Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.

Let me know if this helps :)

Once you are satisfied with a model based on historical data and holdout period evaluations, you should respecify the model using all the available data. The correct option is D.

A model based on historical and diagnostic statistics, you should respecify the model using all the available data. This will help to ensure that the model is reliable and accurate, as it will be based on a larger sample size and will take into account any trends or patterns that may have emerged over time.

It is important to use all available data when respecifying the model, as this will help to minimize the risk of overfitting and ensure that the model is robust enough to be applied to real-world scenarios. While fit statistics and holdout period evaluations can also be useful tools for evaluating model performance, they should be used in conjunction with diagnostic statistics to ensure that the model is accurately capturing the underlying data patterns.

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Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.

b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.

c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).

d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).

e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).

In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.

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The number of people that can go to the amusement park is 10 people

There are three basic types of equation in mathematics. Namely:

259 = 6.50 + 25.25x

259 - 6.50 = 25.25x

252.50 = 25.25x

x = 252.50 / 25.25

x = 10 tickets

Therefore, the number of people that can go to the amusement park is 10 people

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Answer: Equation is x+45 = 90

It solves to x = 45

Explanation:

The two angles are complementary, which by definition means they join together to form a right angle. The two pieces x and 45 add to 90 degrees.

To solve the equation x+45 = 90, we subtract 45 from both sides to get x = 45.

As a check x+45 = 45+45 = 90.

The value of x is 77.5. In order to solve for x, we need to use the Triangle Angle Sum Theorem.

Value is a subjective concept that referred to the word of importance that an individual group of people places on something it is often associated with principal beliefs and standard that are accepted by society when you can be seen as a measure of how important something is true person of organization it is often seen as a reflection of ones worldview and can help to save attitudes decision and behaviors believe is not an absolute and very depending on the context of the looks like commands.

In order to solve for x, we need to use the Triangle Angle Sum Theorem, which states that the sum of the angles in a triangle is 180°. Since angle BAC is bisected by segment AD, the two angles must be equal. Therefore, we can set up the following equation to solve for x:

180° = angle BAC = (x + 7) + (x + 18)

We can solve this equation by combining like terms and isolating the variable x.

180° = 2x + 25

2x = 155

x = 77.5

Therefore, the value of x is 77.5.

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Answer:

In order, 10, 14, (7, 14), (10, 20)

Step-by-step explanation:

The slot for C - Number of Beads is 10

This is because the patern is that it is increasing by 3.

The slot for B - Length of Neclace (cm) is 14

This is because the patern is that it is X2 from the Number of Beads.

The slot for B - Ordered Pairs is (7, 14)

This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.

The slot for C - Ordered Pairs is (10, 20)

(See the explanation above)

Answer:

It is so C

Step-by-step explanation:

hopefully that really helps you have a great day

The possible sources of inaccuracy that could have an impact on your results are -

While conducting a scientific experiment, numerous errors—either systematic or random—could happen.

Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.

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Answer:

$48.91

Step-by-step explanation:

100% is 1 so 7% would be 0.07

times $39.75 by 0.07 to get the amount the tax would add which is $2.78

then add the two $39.75 + $2.78 = $42.53

then remove the tip which as we saw earlier convert the 15% to 0.15

times $42.53 by 0.15 to get the amount the tip would add which is $6.38

then add $6.38 to the total amount which would be $48.91

Answer:

Step-by-step explanation:

Let the speed of the current be c

Time upstream is

Time downstream is

Total time is 8 hours

Answer:

10.24

Step-by-step explanation:

128 x .08= 10.24

(the 8 in the equation is moved 2 places to the left because its a percentage)

In the given problem of percentage, 8 is 6.25\(\%\) of 128.

Percentage is a way of expressing a proportion or a relative value as a fraction of 100. It represents a portion or a fraction of a whole in terms of hundredths.

The term "percentage" comes from the Latin word "per centum," which means "per hundred."

The percentage is denoted using the symbol "\(\%\)". For example, 25\(\%\) means 25 out of 100, or 25 hundredths.

When working with percentages, it is often used to compare or represent ratios, proportions, or relative quantities. It provides a convenient way to express fractions or ratios in a standardized form.

Percentages are commonly used in various fields, such as finance, economics, statistics, and everyday situations involving ratios, discounts, interest rates, statistics, and probability. They provide a standardized way to express relative values and make comparisons across different quantities.

\(\frac{8}{128} \times 100\) = \(\frac{25}{4}\)\(\%\)

               = 6.25\(\%\).

So, the percentage of 8 out of 128 is 6.25\(\%\).

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Therefore, the probability that X is less than 11.5 is approximately 0.0186. So the correct option is (d) 0.0186.

To find the probability that X is less than 11.5, we can standardize the value using the z-score formula and then use the standard normal distribution table.

The z-score formula is given by:

z = (x - μ) / σ

Where:

x = the value we want to find the probability for (11.5 in this case)

μ = the mean of the distribution (24 in this case)

σ = the standard deviation of the distribution (6 in this case)

Substituting the values:

z = (11.5 - 24) / 6

z ≈ -2.0833

Now, we look up the corresponding area/probability in the standard normal distribution table for z = -2.0833. From the table, we find that the area to the left of z = -2.0833 is approximately 0.0186.

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Answer:

D'(8,5) E'(12,3)  F'(10,0)

Step-by-step explanation:

Translate will not change size, shape or rotate or reflect or dilate..

The resulting coordinate of △ D'E'F' is translated by the vector is (8, 5),  (12,3), and (10, 0).

Given that the vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0).

We need to translate the △ DEF using the (6, 0) vector

To translate a triangle using a vector, you simply add the components of the vector to the coordinates of each vertex of the triangle.

In this case, the vector is (6, 0).

Let's add (6, 0) to each vertex of △ DEF:

For point D(2, 5):

New x-coordinate = 2 + 6 = 8

New y-coordinate = 5 + 0 = 5

So, the image of point D after translation is D'(8, 5).

For point E(6, 3):

New x-coordinate = 6 + 6 = 12

New y-coordinate = 3 + 0 = 3

So, the image of point E after translation is E'(12, 3).

For point F(4, 0):

New x-coordinate = 4 + 6 = 10

New y-coordinate = 0 + 0 = 0

So, the image of point F after translation is F'(10, 0).

Therefore, the coordinates of the image triangle (△ D'E'F') after translation using the vector (6, 0) are:

D'(8, 5)

E'(12, 3)

F'(10, 0)

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Answer:

=-4

Step-by-step explanation:

Answer:

(20/100)×80=16

Step-by-step explanation:

There are 18 deluxe rooms in the hotel.

To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.

The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:

Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)

= 100% - (55% + 30%)

= 100% - 85%

= 15%

So, 15% of the total rooms in the hotel are deluxe rooms.

To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:

Number of deluxe rooms = 15% of 120 rooms

= (15/100) * 120

= 0.15 * 120

= 18

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Answer:

People were in discontent with the king. The first two estates were privileged and the third was very unprivileged and had to pay heavy taxes. The third estate did not get along with the first two. French kings spent a lot of money on wars.

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a) The high temperature for today using a 3-day moving average = 92.7 degrees.

b) The high temperature for today using a 2-day moving average = 91.5 degrees.

c) The mean absolute deviation based on a 2-day moving average = 1.5 degrees.

d) The mean squared error for the 2-day moving average = 2.25 degrees².

e) The mean absolute percent error (MAPE) for the 2-day moving average = 2.9%.

To calculate the high temperature for today using a 3-day moving average, we sum the high temperatures of the last three days (90, 93, and 95), and then divide the sum by 3. This gives us an average of 92.7 degrees, rounded to one decimal place.

For a 2-day moving average, we sum the high temperatures of the last two days (90 and 93), and divide the sum by 2. This gives us an average of 91.5 degrees, rounded to one decimal place.

To calculate the mean absolute deviation based on a 2-day moving average, we first find the absolute difference between each high temperature and the 2-day moving average (91.5 degrees). The differences are 1.5, 1.5, 1.5, 2.5, 3.5, and 1.5. Then, we calculate the average of these differences, which is 1.5 degrees, rounded to one decimal place.

The mean squared error for the 2-day moving average is calculated by squaring the differences between each high temperature and the 2-day moving average (91.5 degrees), and then finding the average of these squared differences. In this case, the squared differences are 2.25, 2.25, 2.25, 6.25, 12.25, and 2.25. The average of these squared differences is 4.83 degrees^2, rounded to one decimal place.

The mean absolute percent error (MAPE) for the 2-day moving average is calculated by finding the absolute difference between each high temperature and the 2-day moving average (91.5 degrees), dividing this difference by the high temperature, and then finding the average of these percentages. The percentages are 1.6%, 1.6%, 1.6%, 2.6%, 3.7%, and 1.6%. The average of these percentages is 2.9%, rounded to one decimal place.

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The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

What is the slope-intercept form?

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.

A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.

Let's check each of the given equations to see which ones are of this form:

A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.

B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.

C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

2y = -6x - 4

y = -3x - 2

This equation has the same slope as the given line, so it is parallel to the given line.

D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

-2y = -6x - 4

y = 3x + 2

This equation has the same slope as the given line, so it is also parallel to the given line.

Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

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Answer:

There ya go

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

goodluck on the rest! (:

Answer: y=1/4x+4

Step-by-step explanation:

Parallel means the new equation will have the same slope.

y= 1/4x+b

We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.

1= 1/4(-12)+b

1= -3+b

b= 4

y=1/4x+4

Answer:

9x+10x=19x

if you want the answer go to the App Store and download this app it’s called (Cymath) it Will help you a lot to find the answers and also it will explain for you the steps or the formula and thank you!

(a) The mean can be calculated using the frequency distribution by finding the weighted average of the data points.mean is 12.8
(b) The histogram of size versus relative frequency can be constructed by representing the size intervals on the x-axis and the corresponding relative frequencies on the y-axis.

(a) To find the mean using the frequency distribution, we need to calculate the weighted average of the data points. First, we determine the midpoint of each size interval by taking the average of the lower and upper limits. Then, we multiply each midpoint by its corresponding frequency. Next, we sum up these products and divide by the total frequency to obtain the mean.
For example, considering the given frequency distribution:
Size Frequency
[2, 6) 10
[6, 10) 55
[10, 14) 70
[14, 18) 15
We calculate the midpoints as 4, 8, 12, and 16 for each interval, respectively. Then, we multiply each midpoint by its corresponding frequency and sum up the products: (410) + (855) + (1270) + (1615) = 400 + 440 + 840 + 240 = 1920. Finally, we divide this sum by the total frequency (10 + 55 + 70 + 15 = 150) to find the mean: 1920 / 150 = 12.8.
(b) To draw the histogram of size versus relative frequency, we plot the size intervals on the x-axis and the corresponding relative frequencies (frequencies divided by the total frequency) on the y-axis. We represent each interval as a bar with height proportional to its relative frequency. This allows us to visualize the distribution of sizes and observe any patterns or trends in the data.
Using the given frequency distribution, we can plot the histogram accordingly. The x-axis will have the intervals [2, 6), [6, 10), [10, 14), and [14, 18), while the y-axis will represent the relative frequencies for each interval. By constructing the histogram, we can effectively display the distribution of copper particle sizes based on the given data.

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Answer: He did not both sides by 100. He did not look for the common denominator before solving.

x is actlly equal to 64

Answer:

3

Step-by-step explanation:

the absolute value function always returns a positive value , that is

| - a | = | a | = a

given

- 10 - | 5 - 12 | + 3 + | 5 + 12 |

= - 10 - | - 7 | + 3 + | 17 |

= - 10 - 7 + 3 + 17

= 3

Answer:

72 or C is the correct answer :)

Step-by-step explanation:

Because it is not 80 eighty is the most thing but 72 is the median.