Every 14 days, Debbie’s dog eats 415 pounds of dog food. If Debbie’s dog eats the same amount of food each day, how many pounds does her dog eat per day?

The probability that one of the dice has the number 3 or less facing up given that the other has at least the number 3 facing up is 3/16.

To find the probability that one of the dice has the number 3 or less facing up given that the other has at least the number 3 facing up, we can use conditional probability.

First, let's consider the possible outcomes when rolling a pair of fair dice.

There are a total of 36 possible outcomes, since each die has 6 possible outcomes (numbers 1 to 6)

and there are 6 possibilities for the second die for each outcome of the first die.

Next, let's consider the outcomes where one of the dice has the number 3 or less facing up and the other has at least the number 3 facing up.

If the first die has the number 3 or less, there are 3 possible outcomes:

(1,3), (2,3), (3,3). If the second die has at least the number 3 facing up, there are 16 possible outcomes:

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,3), (5,3), (6,3), (4,4), (4,5), (4,6), (5,4), (5,5), (5,6), (6,4), (6,5), (6,6).

Out of these 16 outcomes, 3 outcomes also satisfy the condition that the first die has the number 3 or less facing up: (3,3), (4,3), (5,3).

Therefore, the probability that one of the dice has the number 3 or less facing up given that the other has at least the number 3 facing up is 3/16.


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The optimal values of w and visualize the training samples and the corresponding polynomial functions for different degrees of n.

To solve the given task of finding the optimal values of w for a polynomial h(x,w) that minimizes the squared error objective function L, we can follow the provided procedure. Here is a step-by-step guide:

Step 1: Derive the formula for the gradient of L with respect to w as a function of the training sample values x and y. This involves calculating the vector of partial derivatives of L with respect to each coefficient wj.

Step 2: Initialize the values of wj with small random values in the range [-0.001, 0.001].

Step 3: Calculate the gradient g(x,y) for each training point (x,y) and average them to obtain g.

Step 4: Update the values of w by subtracting a small positive number q times g, i.e., w_new = w_old - q * g.

Step 5: Repeat steps 3 and 4 until the quality of predictions, measured by the squared error objective function, no longer significantly changes. This may require thousands of iterations.

Step 6: Once the optimal values of w are obtained, plot the training samples as red points on an x-y plot, using a horizontal axis range of -2.5 to 2.5.

Step 7: Plot the function h(x,w) as a blue curve on the same plot, by evaluating it for various values of x within the range -2.5 to 2.5. Use a scatter plot without connecting lines.

Step 8: Repeat the above steps for different values of n, starting from n = 1 to n = 5, creating separate plots for each value of n.

By following this procedure, you will be able to find the optimal values of w and visualize the training samples and the corresponding polynomial functions for different degrees of n.

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Answer: (D) $4,345.

Step-by-step explanation:

Answer:

true flase false true

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-38) + (-4) + (-50) =-38-4-50

= -92

So the answer is -92

Answer:

a > −6

Step-by-step explanation:

Step 1: Subtract a from both sides.

2a + 6 − a > a − a

a + 6 > 0

Step 2: Subtract 6 from both sides.

a + 6 − 6 > 0 − 6

a > −6

12(x - t)

if x = 7 and t = 2

12(x - t) = 12(7 - 2) = 12 * 5 = 60

Answer:

60

Answer:

120°

Step-by-step explanation:

3x-105+2x+10=180

collect like terms

5x-95=180

5x=275

x=55

angle 8 is equal to angle 6 because vertically opposite angles are equal

angle 6 =(2x+10) = 120

therefore angle 8 =120 degrees

Answer:

Your correct answer would be D.

Step-by-step explanation:

Answer:

The answer is D. Greg has 6 pounds of grapes that he wants to divide into pound bags.

Step-by-step explanation:

pls like!!

Answer:

sure when i have money

Step-by-step explanation:

i don't have money lol

Answer:

C

Step-by-step explanation:

So we know that:

\(f(3)=-2\text{ and } f(4)=-4\)

This is the same as saying we have two coordinates: (3,-2) and (4,-4).

Let's find the equation of the linear function.

First, let's find the slope:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Substitute (3,-2) for x₁ and y₁ and let (4,-4) be x₂ and y₂:

\(m=\frac{-4--2}{4-3}\)

Simplify:

\(m=-2/1=-2\)

So our slope is -2.

Now, use the point-slope form:

\(y-y_1=m(x-x_1)\)

Let's use (3,-2) for x₁ and y₁ and use -2 for m:

\(y+2=-2(x-3)\)

Now, we can figure out the x-intercept.

Recall that the x-intercept is when the graph touches the x-axis.

In other words, the y-value would be 0. It will be (x,0).

So, to solve for the x-intercept, substitute 0 for y and solve for x:

\(0+2=-2(x-3)\)

Simplify and distribute the right:

\(2=-2x+6\)

Subtract 6:

\(-4=-2x\)

Divide both sides by -2:

\(x=2\)

So, our x-intercept is (2,0)

Answer:

1) 169.7

2) 678.6

3) 84.9

Hope it helped!!!

Answer:

Dear user,

Answer to your query is provided below

Pages full = 13

Card on last page = 1

Step-by-step explanation:

Rafael has 118 baseball cards.

Each album can hold 9.

So, using multiples of 9 or by dividing 118/9

That 1 is remainder.

So, cards on last page is 1

Verify ,

Pages full = (118-1)/9 = 13

Answer:

119.6

Step-by-step explanation:

Remark

Draw a rough sketch of what is given.

You will find the NP is the side opposite of the triangle.

P is the right angle

OP is the hypotenuse.

Given

NP = 72

<O = 37

Equation

Sin(O) = NP/OP

Sin(72) = .6018

0.6018 = 72/OP                     Multiply both sides by OP

0.6018*OP = 72                     Divide both sides by 0.6018

OP = 72/0.6018

OP = 119.6

Answer:

Step-by-step explanation:

i don't see a statement but use 7 i guess

Answer:

20boys and 15girls

Step-by-step explanation:

Let no of boys be 4x

no of girls be 3x

4x+3x=35

7x=35

x=35/7

x=5

no of boys=4×5=20

no of girls=3×5=15

20+15=35 students

Answer:

35x + x = 180

36x = 180

x = 180/36

x = 5

To solve the problem of a vibrating string with damping using numerical methods and time steps, follow these steps:

1. Discretize the string into a set of points along its length.

2. Use a finite difference method, such as the central difference method, to approximate the derivatives in the equation.

3. Apply the difference equation to each point on the string, considering the damping force and given parameters.

4. Set up the initial conditions for the string's displacement and velocity at each point.

5. Iterate over time steps to update the displacements and velocities at each point using the finite difference equation.

6. Compute and store the values of the solution at selected points for analysis.

7. Compare the numerical solution with the analytical solution, if available, to assess accuracy.

8. Plot the results to visualize the behavior of the vibrating string over time.

9. If using MATLAB, write a script to implement the numerical method and generate plots.

Note: The specific equation and initial conditions are missing from the given question, so adapt the steps accordingly.

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Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.

One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.

The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.

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Observations consisting of pairs of variable data are required to construct a scatter chart.

A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.

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Answer:

1, and that is 27

Step-by-step explanation:

4(x-5)=3x+7

4x-20=3x+7

4x-3x-20-7=0

x-27=0

x=27

a) The arrival rate of parties requesting a table of size two per hour is 50% of the total arrival rate. Therefore, it is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is 40% of the total arrival rate. Therefore, it is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties.

a) The arrival rate of parties requesting a table of size two per hour is calculated by taking the percentage of parties requesting a table of size two out of the total arrival rate. In this case, 50% of the parties require a table of size two. So, the arrival rate for parties requesting a table of size two is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is simply the sum of the arrival rates for each table size. In this case, we have an arrival rate of 12 parties per hour for tables of size two, 40% of the parties require a table of size four (which corresponds to an arrival rate of 0.4 * 24 = 9.6 parties per hour), and 10% of the parties request a table of size six (which corresponds to an arrival rate of 0.1 * 24 = 2.4 parties per hour). Adding these arrival rates together gives a total arrival rate of 12 + 9.6 + 2.4 = 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is calculated by taking the percentage of parties requesting a table of size four out of the total arrival rate. In this case, 40% of the parties require a table of size four. So, the average number of parties requesting a table of size four per hour is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties. This means, on average, there are 2 parties waiting for a table of size four at any given time.

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Answer:

f^-1(x) = x - 5

Step-by-step explanation:

f(x) = x + 5

y = x + 5

x = y + 5

y = x - 5

f^-1(x) = x - 5

Answer:

f^ -1(x) = x - 5

Step-by-step explanation:

y =x+5

To find the inverse, exchange x and y

x = y+5

Solve for y

Subtract 5 from each side

x-5 = y+5-5

x-5 = y

The inverse is  x-5

the predicted biomass for the year 2020 is 41,666 kg.

What is exponential?

The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The growth rate function's units on it (along with 4t and dt) are years, therefore year = kg year will result in an integral that will show the net change in kilogrammes from 2000 to 2020.

if the biomass was 25,000 kg in the year 2000, what is the predicted biomass for the year 2020.

WE GET: 60000(-1/3) ∫(1/u)

=16666

This is the change in biomass from 2000 to 2020. Thus, the predicted biomass for 2020 is about (25000 + 16,666) = 41,666 kg.

Hence, the predicted biomass for the year 2020 is 41,666 kg.

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The solutions of the quadratic equation x^2 + 3x - 10 = 0 are x = 4 and x = -1.

The solution of the quadratic equation x^2 + 3x - 10 = 0 can be found by using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Where (a, b, and c) are 1, 3, and -10

So, the solutions of the equation x^2 + 3x - 10 = 0 are:

x = (-3 ± √(3^2 - 4(1)(-10)) ) / 2(1)

x = (-3 ± √(9 + 40)) / 2

x = (-3 ± √49) / 2

x = (-3 ± 7) / 2

x = (4, -1)

Complete question:

Which of the following is the solution of the quadratic equation x^2 - 3x − 10 = 0?

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Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

Hope this helps you