A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has
an approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces Boxes
are often weighed before shipping, and any box with a weight of at most 27.5 ounces is considered underweight
and is rejected for distribution. What percentage of filled boxes of rice are rejected for distribution?
Find the z-table here.
04.0%
24.2%
75.8%
96.0%

The recurrence relation for the number of ways to pick k objects with repetition from n types is "C(n, k) = C(n-1, k) + C(n, k-1)".

where C(n, k) represents the number of ways to pick k objects with repetition from n types. This relation is derived from the fact that there are two possibilities for picking k objects with repetition from n types: either we already have one of the n types among the k objects, in which case we only need to pick k-1 objects from n types, or we don't have any of the n types among the k objects, in which case we need to pick k objects from n-1 types and then add one of the n types to the set.

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If an asset purchased for $46,200 with a useful life of four years and an expected residual value of $6,300 is sold for $32,600 exactly two years after its purchase, the company will record a loss of $3,300.

The straight-line method is used to allocate the cost of an asset evenly over its useful life. In this case, the asset's initial cost is $46,200, and it has a useful life of four years.

The annual depreciation expense is calculated as the difference between the initial cost and the expected residual value, divided by the useful life:

($46,200 - $6,300) / 4 = $9,225 per year

After two years, the accumulated depreciation would be

2 years x $9,225 = $18,450.

If the asset is sold for $32,600, the loss on the sale would be the difference between the selling price and the book value (initial cost - accumulated depreciation):

$32,600 - ($46,200 - $18,450) = $32,600 - $27,750 = $4,850

However, since the loss ($4,850) exceeds the expected residual value ($6,300), the loss recorded would be limited to the difference between the selling price and the expected residual value:

$32,600 - $6,300 = $26,300

Therefore, the company will record a loss of $3,300 ($26,300 - $23,000) when the asset is sold two years after its purchase.

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The associated doubling time is also approximately 27.725 (rounded to three significant digits).

To find the associated half-life time or doubling time, we first need to understand what these terms mean.
Half-life time (th) is the amount of time it takes for half of a substance to decay or be eliminated.

In this case, we are dealing with exponential decay, so we can use the formula:
q = q0 * e^(-kt)

where q is the amount of substance remaining at time t, q0 is the initial amount of substance, k is the decay constant, and e is Euler's number (approximately equal to 2.71828).

We are given the equation q = 800e^(-0.025t), which means that the initial amount of substance (q0) is 800 and the decay constant (k) is 0.025.

To find the half-life time, we need to find the value of t when q = q0/2:
q0/2 = 800/2 = 400
400 = 800e^(-0.025t)

Dividing both sides by 800, we get:
0.5 = e^(-0.025t)

Taking the natural logarithm of both sides, we get:
ln(0.5) = -0.025t

Solving for t, we get:
t = ln(0.5)/(-0.025)

Using a calculator to evaluate this expression, we get:
t ≈ 27.725

Therefore, the associated half-life time is approximately 27.725 (rounded to three significant digits).

Doubling time (td) is the amount of time it takes for a substance to double in amount. In this case, we can use the formula:
q = q0 * e^(kt)

where k is the growth constant (since we are looking at the increase in amount rather than the decrease).

To find the doubling time, we need to find the value of t when q = 2q0:
2q0 = 2 * 800 = 1600
1600 = 800e^(0.025t)

Dividing both sides by 800, we get:
2 = e^(0.025t)

Taking the natural logarithm of both sides, we get:
ln(2) = 0.025t

Solving for t, we get:
t = ln(2)/0.025

Using a calculator to evaluate this expression, we get:
t ≈ 27.725

Therefore, the associated doubling time is also approximately 27.725 (rounded to three significant digits).

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The total derivative of a function is not necessarily one-to-one. The total derivative represents the change in a function with respect to all of its input variables.

If a function has multiple input variables, the total derivative is a matrix, called the Jacobian matrix, whose entries represent the partial derivatives of the function with respect to each input variable.

A function with a non-invertible Jacobian matrix is not one-to-one, since multiple input values can result in the same output value. For example, consider the function f(x,y) = (x^2, y^2). The total derivative of f is given by the Jacobian matrix:

| 2x 0 |

| 0 2y|

This matrix is non-invertible when x=0 or y=0, since it has a determinant of zero. Thus, the function f is not one-to-one when x=0 or y=0.

In terms of polynomials, the total derivative is important for determining whether a polynomial has multiple roots. A root of a polynomial is a value of the input variable that causes the polynomial to equal zero. If a polynomial has multiple roots, it is not one-to-one, since different input values can result in the same output value.

The total derivative of a polynomial can be computed using the power rule of differentiation. For example, consider the polynomial p(x) = x^3 - 6x^2 + 11x - 6. The total derivative of p with respect to x is:

p'(x) = 3x^2 - 12x + 11

If p'(x) has multiple roots, then p(x) has multiple roots as well. In this case, p'(x) has roots at x=1 and x=11/3, so p(x) has multiple roots at x=1 and x=3. Thus, the total derivative is useful for identifying when a polynomial is not one-to-one.

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Is total derivative  is one-to-one? explain the significance of this result in terms of the derivative on polynomials.

Answer:

14.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mean is 3.5

Answer:

Moving screen for focusing.

Roshan Mandal

Suppose you want to use a converging lens to project the image of two trees onto a screen. One tree is a distance x from the lens; the other is a distance of 2x, as in the figure below. You adjust the screen so that the near tree is in focus. If you now want the far tree to be in focus, do you move the screen toward or away from the lens?.

To bring the near tree in focus, the lens must be placed at a distance from the tree equal to its focal length. Let's call this distance "f".

Now, for the far tree to be in focus, the light rays coming from the tree must converge at the same point on the screen as the rays from the near tree. This means that the screen must be moved closer to the lens.

To calculate how much closer, we can use the thin lens formula:

1/f = 1/do + 1/di

where "do" is the object distance (distance of the far tree from the lens) and "di" is the image distance (distance of the screen from the lens).

We know that do = 2x (distance of the far tree) and f (focal length of the lens) is the same as before. We can rearrange the formula to solve for di:

1/di = 1/f - 1/do

1/di = 1/f - 1/2x

di = 2fx/(2f-x)

So the screen should be placed at a distance di from the lens given by this formula. As x is less than 2f, this value will be positive and greater than f, meaning the screen should be moved closer to the lens than its initial position to bring the far tree in focus.

Answer:

Step-by-step explanation:

Answer:

$1.62

Step-by-step explanation:

Answer:

p = 0.007

Step-by-step explanation:

so like it's 0.7% in percentage

0.7% yeah cuz 42/6,000

Balksnanananqbwba

Don't listen to my other one it's wrong

\(-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5\)

True, it can take longer to collect the data for a large-scale linear programming model than it does for either the formulation of the model or the development of the computer solution.

Collecting the data for a large-scale linear programming model can be a time-consuming process. This is because the data required for the model may come from various sources and need to be collected, verified, and formatted in a way that can be used by the programming and development teams. Additionally, the data may need to be cleaned and processed to ensure that it is accurate and consistent before it can be used in the model. This process can be time-consuming and can take longer than either the formulation of the model or the development of the computer solution. However, it is important to note that the accuracy and completeness of the data is critical to the success of the linear programming model, and taking the time to collect and verify the data is essential for achieving optimal results.

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U(7, 7)

U'(-3,7)

Explanation:

reflecting upon the value of x=2 that means we reflect over y- axis.

*for reflections the distance from the line of reflection to the object is equal to the distance to the image point.

d = 2 + 2 = 4 units.

7 - 4 = 3(since reflection is done towards the negative side)

x' = -3.

Answer:

43

Step-by-step explanation:

250-35(from Monday)=215

215/5=43

Hope this helps!

Answer:

4.08

Step-by-step explanation:

 1

 3.8

 4.2

 4.0

 4.2

+4.2

---------

20.4/5=4.08

Answer:

1000

Step-by-step explanation:

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Answer:

18 km/h

Step-by-step explanation:

1. Convert 175 metres into km

1000 m = 1 km (divide by 1000)

175 ÷ 1000 = 0.175 km

so 175 m = 0.175 km

2. Convert 35 seconds into hours

60 seconds = 1 min

60 mins = 1 hour

3600 (60 × 60) seconds = 1 hour (divide by 3600)

35 ÷ 3600 = 0.00972...

3. Calculate the speed

speed = distance ÷ time

= 0.175 ÷ 0.00972...

= 18 km/h

Answer:

Step-by-step explanation:

D.If the scale factor between P and Q is 15, then each side length of P is multiplied by 15 to get the corresponding side length of Q.

E.If the scale factor is 2, each angle in P is multiplied by 2 to get the corresponding angle in Q.

F.Q has 2 acute angles and 3 obtuse angles.

For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.

There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices

Monthly rental = $ 121.00

Monthly insurance= $56.00

So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177

The sell rate of pizza = $12.02/slice.

We have to determine the number of slices restaurant sell in a month to break even.

Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00

Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)

= 35.4

= 35 (rounded to whole number)

Hence, 35 slices must be sold for break even.

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The phase diagrams provide a visual representation of the system's behavior by plotting the vector field and trajectories in the x-y plane.

The given system of differential equations is described by:

\(˙x = a - x^2˙y = x - y\)

To find the equilibria, we set ˙x and ˙y equal to zero:

\(a - x^2 = 0 -- > x^2 = a -- > x = ±√ax - y = 0 -- > y = x\)

So, the equilibria are (±√a, ±√a).

Now let's analyze the behavior of the system for different values of 'a'.

For a > 0:

In this case, there are two real equilibria, (√a, √a) and (-√a, -√a). We can observe that (√a, √a) is a stable node, as the eigenvalues of the linearized system around this point have negative real parts. On the other hand, (-√a, -√a) is a saddle point, as the eigenvalues have opposite signs (one positive and one negative).

For a < 0:

In this case, there are no real equilibria since √a and -√a are imaginary. Therefore, the system has no equilibrium points.

To visualize the phase diagrams for a = 1 and a = -1:

For a = 1:

The system has two real equilibria, (1, 1) and (-1, -1). The point (1, 1) is a stable node, and (-1, -1) is a saddle point. The phase diagram would show trajectories converging towards (1, 1).

For a = -1:

Since a < 0, there are no equilibrium points, and thus the phase diagram would show no fixed points or trajectories.

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negative, positive. The y-component of the average acceleration of the object during the ascending part of the motion is negative, as the velocity is decreasing, and the y-component of the acceleration during the descending part of the motion is positive, as the velocity is increasing.

In ideal projectile motion, the acceleration of the object is only due to gravity, which acts in the negative y-direction. Therefore, the y-component of the acceleration of the object during the ascending part of the motion is negative, as the velocity is decreasing. At the peak of the motion, the velocity is zero, so the acceleration is also zero. During the descending part of the motion, the y-component of the acceleration is positive, as the velocity is increasing. The magnitude of the acceleration remains constant throughout the motion, and it is equal to the acceleration due to gravity (g). Therefore, the correct answer is b) negative, positive. This means that the y-component of the acceleration is negative during the ascending part of the motion, and it is positive during the descending part of the motion.

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The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

Answer:

333.33 miles

Step-by-step explanation:

Let x be the number of miles Mike and Juan drive.

They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300.  The mileage fee will be ($0.75/mile)*(x miles driven).   Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.

$300 - $50 - ($0.75)x = 0

$250 - ($0.75)x = 0

- ($0.75)x = -$250

x = -($250)/(-$0.75)

x = 333.33 miles

CHECK:

Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?

                                            Rental Fee:     $50

Mileage:  ($0.75/mile)*(333.333 miles) = $250

                                             Total Cost:   $300  YES

Nothing left for burgers,

Hii

Hope u understand... Thats the value of angle E

Answer:

A=90° (angle in a semi circle)

E= 180°-55°-90°(sum of angles in a triangle)

E=35°

The 3 different formulas for area of triangle are :

\(A = \frac{1}{2}* b* h\)

\(A = \frac{\sqrt{3}}{4} * side^2\)

\(A =\sqrt{s(s-a)(s-b)(s-c)}\)

In a 2-D plane, the area of a triangle is the region enclosed by it. A triangle, as we all know, is a closed shape with three sides and three vertices. The general formula for calculating the area of a triangle is half of the product of its base and height.

To calculate the area of a triangular polygon, we must first determine its base (b) and height (h).

Area of triangle is  \(A = \frac{1}{2}* b* h\).

When all sides of triangle, then the triangle is called equilateral triangle.

Area of an Equilateral Triangle ,\(A = \frac{\sqrt{3}}{4} * side^2\)

Heron's formula can be used to calculate the area of a triangle with three sides of varying lengths. The first step is to calculate the semi-perimeter of a triangle by adding all three sides and dividing by two. The following step is to use the semi-perimeter of a triangle value in the main formula known as "Heron's Formula" to calculate the area of a triangle.

\(A =\sqrt{s(s-a)(s-b)(s-c)}\)

Where, \(s=\frac{a+b+c}{2}\)

Thus, there are many ways to determine the area of triangle.

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Answer:3.2

Step-by-step explanation: add them all up and divide by the sample size.

Answer:

The average number of cavities is 3.2

Step-by-step explanation:

To find the answer we will put them in order from least to greatest.  

0, 1, 4, 5, 6.  Now add all the numbers up and we get 16.  Because we are trying to find the average number, we will count up how many numbers there are.  Since their are 5 numbers total, we divide 16 by 5 and we get 3.2.  Therefore, 3.2 is our answer.

Answer:

The answer to the problem is y = mx + b

Answer:

30 degrees

Step-by-step explanation:

Complimentary = 90 degrees

90 - 60 = 30 degrees