the potential energy function associated with force acting on system is u=3x^7y-8x. what is the magnitude of the force al point (1, 2)

Answer:

9

Step-by-step explanation:

Answer:

X intercept (-40,0)

Y intercept: (0, 15)

Step-by-step explanation:

Where the line meets on the x axis, the coordinate is -40, 0 which is the x intercept and as it is for the y intercept, it meets at 0,15

Categorical data is data that can be divided into different categories. Examples of categorical data include hair color, number of suitcases on a plane, tree height, and amount of rainfall.

Hair color would be classified as categorical data because it can be divided into categories such as black, brown, blonde, and red. Number of suitcases on a plane would also be classified as categorical data because the amount of suitcases can be divided into categories such as 0, 1, 2, 3, etc. Tree height would be classified as categorical data as it can be divided into categories such as small, medium, and large. Amount of rainfall would also be classified as categorical data as it can be divided into categories such as light rainfall, moderate rainfall, and heavy rainfall.

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a)The probability that at least 10 of the 15 randomly chosen individuals have no citations is 0.6723.  b) the probability that fewer than half of the 15 randomly chosen individuals have at least one citation is 0.3826. c) the probability that the number of individuals among 15 who have at least one citation is between 5 and 10, inclusive, is 0.7278.

Recall that in Exercise 30 (Section 3.3) the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company, was given as follows:

Y=y 0 1 2 3 4 5

P(Y=y) 0.52 0.29 0.10 0.05 0.03 0.01

a. We can use the binomial distribution to model the number of individuals among 15 who have no citations, with the probability of success being P(Y=0)=0.52. Then, the probability of at least 10 individuals having no citations is:

P(X >= 10) = 1 - P(X < 10) = 1 - P(X <= 9)

Using a binomial table or calculator, we find that:

P(X <= 9) = 0.3277

Therefore,

P(X >= 10) = 1 - P(X <= 9) = 1 - 0.3277 = 0.6723

b. We can use the binomial distribution again to model the number of individuals among 15 who have at least one citation, with the probability of success being P(Y>0)=1-P(Y=0)=1-0.52=0.48. Then, the probability of fewer than half (less than 7) individuals having at least one citation is:

P(X < 7) = Σ P(X = k), where k = 0,1,...,6

Using a binomial table or calculator, we find that:

P(X < 7) = 0.6174

Therefore,

P(X >= 7) = 1 - P(X < 7) = 1 - 0.6174 = 0.3826

c. We need to find the probability that the number of individuals among 15 who have at least one citation is between 5 and 10, inclusive. We can use the binomial distribution with the probability of success being P(Y>0)=0.48. Then, the probability is:

P(5 <= X <= 10) = Σ P(X = k), where k = 5,6,...,10

Using a binomial table or calculator, we find that:

P(5 <= X <= 10) = 0.7278

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Your question is incomplete, but probably the complete question is :

Exercise 30 (Section 3.3) gave the pmf of Y, the number of traffic citations for a randomly selected individual insured by a particular company. What is the probability that among 15 randomly chosen such individuals

a. At least 10 have no citations?

b. Fewer than half have at least one citation?

c. The number that have at least one citation is between 5 and 10, inclusive?*

ASA congruence postulate says that if the two angles and the included side of a triangle are congruent to two angles and the included side of another triangle then the triangles are congruent. ABC ≅ XYZ

Congruent triangles are those with precisely the same dimensions and appearance. Congruent has the symbol. When the dimensions of one triangle's three sides and three angles match those of another triangle's three sides and three angles, the two triangles are said to be congruent.

Angle-Side-Angle congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below.

According to the ASA criterion, ABC = XYZ because BC = YZ and B = Y and C = Z, respectively. Due to the fact that ABC = XYZ, the third angle (A) and the other two sides (A) of ABC must be equal to the equivalent angle (X) and sides of XYZ.

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Given:

The set of ordered pairs in the options.

To find:

The set of ordered pairs which does not represent a function.

Solution:

A set of ordered pairs represents a function if their exist a unique y-value for each x-value.

In option 3, the given set of ordered pair is:

{(−3,−3),(4,1),(−3,3),(2,2)}

Here, we have to y-values -3 and 3 for x=-3. It means the y-value is not unique for x=-3. So, this set of ordered pairs is not a function.

In option 1, 2 and 4, all the x-coordinates are different. It means their exist a unique y-value for each x-value. So, the set of ordered pairs in options 1, 2 and 4 represent a function.

Therefore, the correct opting is 3.

A = 22000(1 + 0.08/2)^(15*2)

A = 71354,75

Answer: First, calculate for the rate at which you walk by dividing the distance by time in the first set of given. This gives us the rate of 4 miles/hour. To determine the time it takes to walk 3 miles, divide 3 by 4 which gives us 0.75 hours or 45 minutes.

Step-by-step explanation:

Answer:

9 people per row

Step-by-step explanation:

63/7=9

let me now if right

Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

Answer: $18.17

Step 1: Subtract 1 dollar.

$20 - $1 = $19

Step 2: Subtract 83 cents.

$19.00 - $0.83 = $18.17

Answer = $18.17

If we transform \(\triangle ABC\) to \(\triangle A'B'C\), the rule applied is \((x,y) \to (2x,2y -14)\)

The type of diagram used to graphically show the relationship between two numerical variables is called a scatter plot.

A scatter plot is a visual representation of data points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.

Each data point on the plot corresponds to a pair of values from the two variables being analyzed. The position of each point on the graph indicates the values of both variables, allowing us to examine the relationship between them.

The main purpose of a scatter plot is to visualize the correlation or relationship between the two variables. The pattern formed by the data points on the plot can indicate the direction, strength, and nature of the relationship.

For example, if the points on the scatter plot tend to form a linear pattern, it suggests a linear relationship between the variables. On the other hand, if the points are scattered randomly with no clear pattern, it indicates a weak or no relationship between the variables.

Scatter plots are commonly used in various fields, including statistics, data analysis, and scientific research. They provide a visual way to explore and interpret relationships between variables, identify outliers, detect trends, and assess the strength and direction of associations.

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We are given the following expression

Answer:

no sign (not positive or negative)

Step-by-step explanation:

The value of the expression

4.3 ⋅ (-3.2) ⋅ 0

is 0, as the value of any number multiplied by zero is 0.

The number zero is neither positive or negative; hence there is no sign.

1. cost of 3 1/10 mile for the taxi service charges: $0.40.

2. Relation is explained as direct proportional.

The top number of an improper fraction is greater than (or equal to) that bottom number.

Using the example:

The steps below can be used to change a mixed fraction into an improper fraction:

Fixed taxi charge = $1.00 for the first 1/10 mile

Additional charge = $0.10 mile

1. cost of 3 1/10 mile

covert mixed into improper = (30 +1)/10 = 31/10

The cost of 31/10 miles.

= $1.00 * 1/10 + (31/10 - 1/10)*$0.10

= $0.100 + 30/10*$0.10

= $0.100 + $0.30

= $0.40

2. As the distance increases the price also increases.

Relation is explained as direct proportional.

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If the sample variance of hourly wages was 10 then the sample standard deviation of hourly wages C)  $3.16

The formula for calculating the sample standard deviation is the square root of the sample variance.Since the the sample variance of hourly wages was 10 given in the question.

sample standard deviation = square root of (sample variance) = square root of 10 = $3.16.

s = sqrt(10)

s = 3.16

Therefore, the sample standard deviation is $3.16. Option C is the correct answer.

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Answer:

To be honest with you it would more likely be more easier to divide first

The reason to that is because dividing is harder then subtracting and if your subtract second it would just be easier

The solution to the inequality is: n < -9.

Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:

4n - 6 (n + 1) > 12

Distribute

4n - 6n - 6 > 12

Combine like terms

-2n - 6 > 12

-2n - 6 + 6 > 12 + 6

-2n > 18

Divide both sides by -2

-2n/-2 < 18/-2

n < -9

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The equation of the line that passes through the point (-8,6) is x + 4y = 16.

What is a slope?

A line's slope often indicates the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

Given:

point = (-8,6)

equation : x+4y=20

x+4y=20

=> 4y = -x + 20

=> y = - x/4 + 5

Here the slope  m is -1/4.

Now  as the lines are parallel therefore the slope will be equal.

Therefore from the slope intercept form,

y - y1 = m (x - x1)

=> y - 6 = -1/4 ( x + 8 )

=> y - 6 = -x/4 - 2

=> x/4 + y = 4

=> x + 4y = 16

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The only difference between the JK-FF (and JK-latch) and the SR-FF (and SR-latch) is that the JK-FF (and JK-latch) has an additional JK control line. This additional control line allows the device to toggle its state when the control line is pulsed.

The JK-FF and JK-latch function similarly to the SR-FF and SR-latch. The J acts like the S and the K acts like the R.

When the J and K lines are both low, the device acts like the S and R lines are both low for the SR-FF.

However, when the J and K lines are both high, the device will toggle its state, which does not happen with the SR-FF.

The additional JK control line can be used to create different circuits, like a toggle circuit or a pulsed output circuit.

The toggle circuit will change the output from one state to another each time the control line is pulsed, while the pulsed output circuit will produce an output pulse of fixed length.

The JK-FF and JK-latch can also be used to create a counter circuit which counts up or down depending on the J and K lines.

The only difference between the JK-FF (and JK-latch) and the SR-FF (and SR-latch) of the following is that the JK-FF (and JK-latch) has an additional JK control line.

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Answer:

24-6v-24x

Step-by-step explanation:

(-4 +v + 4x) × (-6)

Apply the Distributive Property:

- (-6) × 4+ (-6) × v + (-6) × 4x

Determine the sign:

6 × 4 - 6v - 6 × 4x

Calculate the product or quotient:

24 - 6v -6 × 4x

Multiply the monomials:

24 - 6v - 24x

Hope this helps you :)

Answer:

24-6v-24

Step-by-step explanation:

first distribute -6 to all other numbers as shown below.

(-4 . -6)+(v . -6)+(4x . -6)

then we will get 24-6v-24x

The Python script above prompts the user for the values of a, b, c, x, and y, and then tests whether the point (x, y) lies on the parabola described by the equation y=ax^2+bx+c. If the point lies on the parabola, the script prints out a message stating this. Otherwise, the script prints out a message stating that the point does not lie on the parabola.

The function is_on_parabola() takes in the values of a, b, c, x, and y, and then calculates the value of the parabola at the point (x, y). If the calculated value is equal to y, then the point lies on the parabola. Otherwise, the point does not lie on the parabola.

The main function of the script prompts the user for the values of a, b, c, x, and y, and then calls the function is_on_parabola(). If the point lies on the parabola, the script prints out a message stating this. Otherwise, the script prints out a message stating that the point does not lie on the parabola.

To run the script, you can save it as a Python file and then run it from the command line. For example, if you save the script as parabola.py, you can run it by typing the following command into the command line:

python parabola.py

This will prompt you for the values of a, b, c, x, and y, and then print out a message stating whether or not the point lies on the parabola.

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Answer:

The answer is 20 feet..

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer: could you translate this to english please?

167 acres of soybeans are produced by farmer mcdonald.

Let  a be the amount of land in acres used to produce corn

Let b be the amount of land in acres used to produce soyabeans

a + b = 300                        .......(1)

444a + 349b = 117335       .......(2)

Solving both equations we get, a = 133

                                                  b = 167

Therefore, acres of soyabeans produced by farmer, Mcdonald = b = 167 acres.

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To determine the position of the term in the sequence that first has a value greater than 1000, we need to solve the inequality 3n^2 > 1000. The position of the term is approximately 19.

We are given that the nth term of the sequence is given by 3n^2. We need to find the position (value of n) at which the term exceeds 1000.

To solve this, we set up the inequality:

3n^2 > 1000

Dividing both sides by 3, we have:

n^2 > 333.33

Taking the square root of both sides, we get:

n > √333.33

Approximating the square root of 333.33 to the nearest whole number, we find:

n > 18.24

Since n represents the position of the term in the sequence, it must be a positive whole number. Therefore, the smallest value of n that satisfies the inequality is 19.

Hence, the position of the term in the sequence that first has a value greater than 1000 is approximately 19.

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Answer:

38 m

Step-by-step explanation:

Set up as proportion and cross multiply to solve:

x/57 = 18.9/28

x = 38.475

Rounded this would be 38 m.