A local pizza shop has a membership program for frequent buyers. The membership costs $10 per month and members get a discounted price of $1.50 per slice of pizza. Nachelle purchased a membership to this pizza shop. How much would Nachelle have to pay the pizza shop if she bought 11 slices of pizza this month? What would be the monthly cost for x slices of pizza? ​

Based on the manufacturer's expectation of 1 defective light bulb out of every package of 5 sold, the probability that at most 2 bulbs out of the 15 purchased by the customer will be defective is 0.94208. This probability indicates a high likelihood of having at most 2 defective bulbs in the purchase.

So, the probability that a single bulb is defective is p = 1/5 and the probability that it is not defective is q = 1 - p = 4/5.

The number of bulbs purchased by the customer = 3 packages, which contain a total of 15 bulbs.

At most 2 bulbs are defective if there are either 0 or 1 or 2 defective bulbs.

The probability that 0 bulbs are defective = P(X = 0) = nCx . p^x . q^(n-x) = 15C0 . (1/5)^0 . (4/5)^15 = 0.32768

The probability that 1 bulb is defective = P(X = 1) = nCx . p^x . q^(n-x) = 15C1 . (1/5)^1 . (4/5)^14 = 0.4096

The probability that 2 bulbs are defective = P(X = 2) = nCx . p^x . q^(n-x) = 15C2 . (1/5)^2 . (4/5)^13 = 0.2048

The probability that at most 2 bulbs are defective

= P(X ≤2)=P(X=0)+P(X=1)+P(X=2)=0.32768+0.4096+0.2048=0.94208

Therefore, the required probability that at most 2 bulbs are defective is 0.94208.

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The AD curve in an AS-AD diagram is most relevant to Keynes's Law. The correct option is d.

In an AS-AD (Aggregate Supply-Aggregate Demand) diagram, Keynes's Law is most relevant to the AD curve. Keynes's Law, proposed by economist John Maynard Keynes, states that aggregate demand (AD) determines the level of economic activity and that fluctuations in AD can lead to periods of economic expansion or contraction.

The AD curve represents the total demand for goods and services in an economy at different price levels. It shows the relationship between the overall price level and the quantity of real GDP demanded. When the AD curve shifts to the right, it indicates an increase in overall demand, leading to higher levels of output and employment. Conversely, a shift to the left indicates a decrease in overall demand, which may lead to lower output and employment.

Keynes's Law emphasizes the importance of aggregate demand management by the government through fiscal and monetary policies to stabilize the economy and achieve full employment. Thus, the AD curve plays a central role in illustrating the concepts and implications of Keynes's Law in an AS-AD diagram. The correct option is d.

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They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data

set.  The mean, median and mode are the three commonly used measures of central tendency.

To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of

values.

The mean, μ, of the sampling distribution of p can be found using the formula

μ = p,

where p is the proportion of adults in the entire population who support the increase.

In this case, 40% of all adults in Ohio support the increase, so p = 0.40.

Therefore, the mean of the sampling distribution of p is:

μ = 0.40

So the correct answer is (d) 0.40.

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Answer:

x = 17

Step-by-step explanation:

17

First you do 8.5 times 2 which is 17.

The factor of the given expression is (C) (x + 3).

In mathematics, a divisor of an integer n, often termed a factor of n, is an integer m that may be multiplied by some number to generate n.

In this scenario, one also asserts that n is a multiple of m.

A factor is a number that is multiplied by another number to produce the desired result.

A product is a solution to a multiplication problem.

Think of a multiplication problem as components being combined to find a product.

So, we have:

3x^3+18x^2+27x

Now, take the factors out as follows:

3x^3+18x^2+27x

3x(x²+6x+9)

3x(x+3)²

Factors:  (x + 3)

Therefore, the factor of the given expression is (C) (x + 3).

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Complete question;
Which of the following is a factor of 3x3 + 18x2 + 27x?

a. 9x

b. x3

c. x + 3

d. x - 3

In triangle DEF, with sides d=20 ft, e=25 ft, and angle F measuring 98°, the measure of angle D cannot be determined without additional information.

To find the measure of angle D in triangle DEF, given that d = 20 ft, e = 25 ft, and m∠F = 98°, we can use the fact that the sum of the angles in a triangle is 180°.

Let's label angle D as m∠D. We know that m∠F = 98°. Let's denote the measure of angle E as m∠E.

Using the fact that the sum of the angles in a triangle is 180°, we have:

m∠D + m∠E + m∠F = 180°

Substituting the given values, we have:

m∠D + m∠E + 98° = 180°

Now, let's solve for m∠D. First, subtract 98° from both sides:

m∠D + m∠E = 82°

Since the sum of the measures of angles D and E is 82°, we don't have enough information to determine the exact measure of angle D.

Additional information about the relationship between the sides or angles of the triangle would be needed to find the measure of angle D. Without such information, we cannot determine the specific measure of angle D in triangle DEF.

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Answer: I dont understand what your saying

Step-by-step explanation:

Are you speaking a diffrent language

Answer:

in English: let,will,arrive,let,go

in Romanian: lasa, va, sosi, lasa, pleca

Step-by-step explanation:

I think the language is Romanian

The mean for the discrete probability distribution is 3.73

Generally, To calculate the mean of a discrete probability distribution, you can use the formula:

Mean = ∑x * P(x)

Using this formula, the mean of the given distribution is:

Mean = (2 * 0.2) + (6 * 0.3) + (10 * 0.3) + (14 * 0.2) = 4

To calculate the standard deviation of a discrete probability distribution, you can use the formula:

Standard Deviation = √∑(x - mean)^2 * P(x)

Using this formula and the mean that we calculated above, the standard deviation of the given distribution is:

Standard Deviation = √( (2 - 4)^2 * 0.2 + (6 - 4)^2 * 0.3 + (10 - 4)^2 * 0.3 + (14 - 4)^2 * 0.2 )

= √( (-2)^2 * 0.2 + (2)^2 * 0.3 + (6)^2 * 0.3 + (10)^2 * 0.2 )

= √( 4 * 0.2 + 4 * 0.3 + 36 * 0.3 + 100 * 0.2 )

= √( 0.8 + 1.2 + 10.8 + 20 ) = √( 13.8 )

= approximately 3.73

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The vertex form of a quadratic function is:

The standard form of a quadratic function is:

We can do the following steps to solve the exercise.

Step 1: We replace the values of h,k, x, and y into the vertex form of a quadratic equation, and we solve for a.

Step 2: We replace the values of a,h, and k into the vertex form of a quadratic equation.

Step 3: We expand the expression inside the parentheses and combine like terms to convert the function into its standard form.

The equation of the graph in standard form is:

High mean with High standard Deviation is the data outcome of stock prices would best support the idea that there is more risk with that stock.

Stock Price:

The stock price is the price of one share out of the number of shares available for sale in the company. Simply put, stock price is the maximum amount someone is willing to buy a stock, or the minimum amount someone is willing to buy.

High mean with High standard Deviation:

A high standard deviation literally means a large mean deviation from the mean. For example, a good dart his player can throw darts on the dartboard and group the darts across the bullseye. A poor darts player will hit the entire board with the darts and even miss the board completely and hit the wall. A good darts player has a smaller average distance from the bullseye to the dart, and therefore a lower standard deviation. Bad darts players have a higher standard deviation because the average distance of their darts from the bullseye is greater.

There are no objective criteria for small and large standard deviations. We can only determine whether the mean deviation is small or large, depending on the context and what is being measured. For example, when throwing a dart, being one foot away from the target is a large deviation, but when swinging a wrecking ball against a wall, it is a small deviation. It has a different purpose than darts.

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Answer:It is given b the x2 of the anwserr fot the firghjt angle

Step-by-step explanation:

The maximum number of 120-pound packages that the helicopter can carry per trip = 5

The correct answer is an option (C)

For given question,

Let x be the number of 100-pound packages and y be the number of 120-pound packages.

For each delivery trip, the helicopter must carry at least 10 packages.

So we get an inequality,

x + y ≥ 10                        ....................(1)

The total weight of the packages can be at most 1,100 pounds.

So we get an inequality,

100x + 120y ≤ 1100       ...................(2)

From (1),

x = 10 - y

Substitute above value of x in inequality (2)

⇒ 100x + 120y ≤ 1100

⇒ 10x + 12y  ≤ 110

⇒ 5x + 6y  ≤ 55

⇒ 5(10 - y) + 6y  ≤ 55

⇒ 50 - 5y + 6y  ≤ 55

⇒ y  ≤ 5

Therefore, the maximum number of 120-pound packages that the helicopter can carry per trip = 5

The correct answer is an option (C)

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Answer:

the answer is A

Step-by-step explanation:

The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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Therefore , the solution to the given problem   of rate of change comes out to be the remain after 4 hour is 83.3247.

When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.

Here,

Given :  broken down at a rate of 10% each hour.

127 milligrams of caffeine

Thus,

To find the remains after 4 hours

=> Total * (broken down)^times

=> 127 * (1 - 10%)^4

=> 127 * (0.9)^4

=>127 * 0.6561

=>83.3247

Therefore , the solution to the given problem   of rate of change comes out to be the remain after 4 hour is 83.3247.

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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In a lottery game, if a player picks 6 numbers then the total 9366819 different choices player have if order doesn't matter.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, regardless of the order of selection. Formula is

ⁿCᵣ = n! /r!(n-r)!

where n is total number of objects

r is total number of choosing objects

We have given that,

In a lottery game total number = 46 = { 1,2,...., 46}

A player can pick total number = 6 numbers

We have to calculate different choices does the player have if order doesn't matter.

Using Combination formula,

we have , n = 46 , r = 6

⁴⁶C₆ = 46!/6!(40!)

=> ⁴⁶C₆ = 46×45×44×43×42×41×40!/40!(6!)

= 46×45×44×43×42×41 /(6×5×4×3×2×1)

= 23×3×7×11×43×41

= 9366819

Hence, the required ways are 9366819..

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\(a_n = a_(n-1) + a_(n-2)\)

where a_n is the number of bit strings of length n that contain a pair of consecutive 0s, a_(n-1) is the number of bit strings of length (n-1) that contain a pair of consecutive 0s, and a_(n-2) is the number of bit strings of length (n-2) that contain a pair of consecutive 0s.

To find a recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s, we can start by noting that the number of bit strings of length n that contain a pair of consecutive 0s (a_n) is dependent upon the number of bit strings of length (n-1) that contain a pair of consecutive 0s (a_(n-1)) and the number of bit strings of length (n-2) that contain a pair of consecutive 0s (a_(n-2)). This is because the last two bits of a bit string of length n can be either 00, 01, or 10. If the last two bits are 00, then the bit string of length n contains a pair of consecutive 0s and the remaining bit string must be of length (n-2). If the last two bits are 01 or 10, then the bit string of length n does not contain a pair of consecutive 0s and the remaining bit string must be of length (n-1). Therefore, we can conclude that the recurrence relation for the number of bit strings of length n that contain a pair of consecutive 0s is a_n = a_(n-1) + a_(n-2).

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Answer:

BC = 7

Step-by-step explanation:

x + 2 = 5

x = 3

this would also work for sides BC and AD.

(3 x 3) - 2 = 9 - 2 = 7

3 + 4 = 7

False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

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Answer :

55°

Detailed explanation:

The triangles are isosceles (having two sides of equal length and angle).

Hence solve for angle DCE

Angle DCE= 180°-(55°+55°)

=70°

As vertically opposite angles are equal. Thus,

angle ACB=70°.

Hence 180°-70°=110°

As the angles in an isosceles triangle are equal hence;

110°÷2=55°

Hence angle ABC is 55°

Hope this is has been clearly explained!

The measure of angle ABC from the given figure is 55 degree. Therefore, the correct answer is option A.

From the given figure, we have two isosceles triangles DCE and ABC.

In ΔDCE,

Base angle is ∠CED=55°.

Here, base angles are equal

That is, ∠CED=∠CED=55°

By using angle sum property of a triangle, we get

∠DCE=180°-(55°+55°)

∠DCE=70°

Now, ∠DCE and ∠ACB are vertically opposite angles are equal.

So, ∠DCE =∠ACB=70°

In ΔABC, base angles BAC and ABC are equal

So, ∠BAC+∠ABC+∠ACB=180°

∠ABC+∠ABC+70°=180°

2∠ABC=110°

∠ABC=55°

Therefore, the correct answer is option A.

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(a) The algorithm fails when the initial choices of w and h are not of full rank.

(b) The entries of h and w may not always be non-negative, but the algorithm aims for non-negative matrix factorisation.

(c) The algorithm is used to compute a nonnegative matrix factorisation of A = [6 8] using iterative updates of w and h.

(a) An example of a situation where the algorithm would fail is when the initial choices of w and h are not of full rank. In this case, the iterative computation of h and w would not converge to the rank r factorisation of matrix A.

(b) If the algorithm does not fail and the iterative computation of h and w converges to the rank r factorisation of matrix A, then the entries of h and w may not always be non-negative. However, the algorithm is designed to find a non-negative matrix factorisation, so it is expected that the entries of h and w will be non-negative in most cases.

(c) Using the given algorithm, we can compute the rank r nonnegative matrix factorisation of matrix A as follows:

- Set w to be a 2x1 matrix of random non-negative values, and h to be a 1x2 matrix of random non-negative values, both of full rank.
- Compute h = h .* (w' * A) ./ (w' * w * h) and w = w .* (A * h') ./ (w * h * h'), where .* denotes element-wise multiplication, and ' denotes matrix transpose.
- Repeat step 2 until convergence is achieved, or a maximum number of iterations is reached.

Using this algorithm, we can compute the nonnegative matrix factorisation of matrix A as:

w = [0.1829; 0.9119]
h = [3.6953 4.9237]

where w and h are non-negative matrices of rank 1 that satisfy A = w * h.

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A system of inequalities using x and y variables to represent this situation

is 10x + 15y ≤ 75

x + y ≤ 4

Let's use the variables x and y to represent the number of albums and T-shirts, respectively, that Sarah wants to buy.

The cost of one album is $10, so the cost of x albums is 10x.

The cost of one T-shirt is $15, so the cost of y T-shirts is 15y.

According to the given information:

Sarah can spend at most a total of $75, so we have the inequality:

10x + 15y ≤ 75

Sarah can buy at most 4 items, which means the total number of items (albums + T-shirts) cannot exceed 4. So we have the inequality:

x + y ≤ 4

In summary, the system of inequalities representing this situation is:

10x + 15y ≤ 75

x + y ≤ 4

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Answer:

10 7/40

Step-by-step explanation:

5 4/5 + 4 3/8

4/5 = 32/40

3/8 = 15/40

5 32/40 + 4 15/40 = 9 47/40 = 9 + 1 7/40 = 10 7/40

Answer:

6 7/40

Step-by-step explanation:

That’s the answer and I’m sure cuz I did the math, also have a good night!

The required, there are 8998912 possible license plates that can be generated using this format.

Here, we have,

There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.

Therefore, there are 8 choices for each of the three digits,

giving us 8 x 8 x 8 = 512 possible combinations for the digits.

Similarly, there are 26 letters that can be used for each of the three letters on the license plate.

Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.

Total number of license plates = number of choices for the digits x number of choices for the letters

= 512 x 17576

= 8998912

Therefore, there are 8998912 possible license plates that can be generated using this format.

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area of trapezoid

A=(a+b/2)h

the answer is c 20mm²

Answer:

D.0

Step-by-step explanation:

Our system of equations is

then we can conclude that

This is a quadratic equation so we will use the dicriminant method:

Let Δ be our dicriminant

The dicriminant is negative so this equation has no real solutions

the the system has no real solutions

Answer:

D

Step-by-step explanation:

it's D I don't have a full step by step