Chloe made an apple pie. After measuring the pie tin, Chloe calculated it has a circumference of 56.52 centimetres. What is the pie tin's diameter?

by solving the linear programming problem and examining the shadow price of the assembly hours constraint, we can determine how much we would be willing to pay for another assembly hour.

To determine how much we would be willing to pay for another assembly hour, we need to solve the linear programming problem and find the maximum value of the objective function while satisfying the given constraints.

Let's define the decision variables:

X1 = number of PCs to produce

X2 = number of Laptops to produce

X3 = number of PDAs to produce

The objective function represents the profit:

Max Z = $37X1 + $35X2 + $45X3

Subject to the following constraints:

2X1 + 3X2 + 2X3 <= 130 (assembly hours)

4X1 + 3X2 + X3 <= 150 (testing hours)

2X1 + 2X2 + 4X3 <= 90 (packing hours)

X4 + X2 + X3 <= 50 (storage, sq. ft.)

X1, X2, X3 >= 0

To find the maximum value of the objective function, we can use linear programming software or techniques such as the simplex method. The optimal solution will provide the values of X1, X2, and X3 that maximize the profit.

Once we have the optimal solution, we can determine the shadow price of the assembly hours constraint. The shadow price represents how much the objective function value would increase with each additional unit of the constraint.

If the shadow price for the assembly hours constraint is positive, it means we would be willing to pay that amount for an additional assembly hour. If it is zero, it means the constraint is not binding, and additional assembly hours would not affect the objective function value. If the shadow price is negative, it means the constraint is binding, and an additional assembly hour would decrease the objective function value.

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Answer:

I think it's 15 in. If wrong please let me know.

Please make brainliest if I'm right :)

Given:

Chandra get a bonus if average quarterly sales for an year exceeds $70000.

From the bar diagram, we can find the sales for each quarter.

The height of each bar gives the sales for each quarter.

Since the data in the vertical column is given in thousands of dollars, multiply the height of the bar by 1000 to get the correct sales value.

The sales for the first quarter is $40000.

The sales for the second quarter is $100000.

The sales for the third quarter is $80000.

Let x be the sales for the fourth quarter.

Now, the average of the quarterly sales is,

Put A=70000 and solve the equation for x to obtain the sales for the fourth quarter so that Chandra gets bonus.

So, the sales of the fourth quarter must be $60000 in order for Chandra to earn the bonus.

Hence, option D is correct.

Answer:

its (1,1)

Step-by-step explanation: the best estimate solution for the system is (1, 1)

because is the only one within the range of the x axis (-5,5) and the y axis (-5,5)

The ordered pair is the best approximation of the solution to the system is (5/18, -7/6).

The given system of linear equations are y=3x-2 and y=-3/5 x-1.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here, y=3x-2 --------(I) and y=-3/5 x-1 --------(II)

The system of equations can be solved as follows

Substitute equation (I) in (II), we get

3x-2= -3/5 x-1

⇒ 5(3x-2) = -3x-5

⇒ 15x-10=-3x-5

⇒ 15x+3x=-5+10

⇒ 18x=5

⇒ x=5/18

Now, y=3x-2

⇒ y=3(5/18)-2

⇒ y=5/6-2/1

⇒ y=(5-12)/6

⇒ y=-7/6

So, the ordered pair is (5/18, -7/6)

Hence, the ordered pair is the best approximation of the solution to the system is (5/18, -7/6).

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Answer:

-28

Step-by-step explanation:

Answer:

s=\(\frac{2}{3}\)

Step-by-step explanation:

Answer:

f(3) = 16

Step-by-step explanation:

f(3) = 3(3) +7

f(3) = 9 + 7

f(3) = 16

Answer:

4.5 hours

Step-by-step explanation:

8:2h = 18:x

8x = 18×2h

x = 36h/8

x = 4.5

hope this helps :)

Answer:

x = 12 and x = -6

Step-by-step explanation:

First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:

\(x^2-6x-72=0\)

To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:

\(ax^2+bx+c=0\)

For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:

\((6/2)^2=3^2=9\)

Add and subtract 9 to our equation to get:

\(x^2-6x+9-9-72=0\)

The first three terms form a perfect square, we have:

\((x^2-6x+9)-9-72=0\)

\((x^2-6x+9)-81=0\)

What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:

\((x-3)^2-81=0\)

Add 81 to both sides to get:

\((x-3)^2=81\)

We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions:

\(x-3=9\)

\(x-3=-9\)

\(x=12\)

\(x=-6\)

The lifetime value such that the total lifetime of all batteries in a package exceeds it for only 5% of all packages can be found by calculating the 95th percentile of the sum of four normally distributed variables.

Given that the lifetime of a battery is normally distributed with a mean of 10 hours and a standard deviation of 1 hour, we can model the total lifetime of four batteries in a package as the sum of four independent and identically distributed (i.i.d) random variables with the same distribution.

The sum of independent normally distributed variables follows a normal distribution with a mean equal to the sum of the individual means and a standard deviation equal to the square root of the sum of the individual variances. In this case, the mean of the sum is 4 * 10 = 40 hours, and the standard deviation of the sum is √(4 * 1²) = 2 hours.

To find the lifetime value such that the total lifetime of all batteries in a package exceeds it for only 5% of all packages, we need to calculate the 95th percentile of the sum of the four batteries' lifetimes.

Using a standard normal distribution table or statistical software, we can find the z-score corresponding to the 95th percentile, which is approximately 1.645.

Next, we can calculate the desired lifetime value by multiplying the z-score by the standard deviation of the sum and adding it to the mean of the sum:

Lifetime value = 40 + 1.645 * 2 ≈ 43.29 hours

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If the one factor is the gcf and the other is the sum of two numbers that do not have a common factor, then the expression will be 8(7 + 12)

The expression is given by

56 + 96

First we have to find the GCF of the numbers

Prime factorization

56 = 2×2×2×7

96 = 2×2×2×2×2×3

The GCF(56, 96) = 8

Write the expression using the GCF

56 + 96 = 8(7) + 8(12)

Here we have to apply the distributive property

AB + AC = A(B + C)

Then,

8(7) + 8(12) = 8 (7 + 12)

Hence, if the one factor is the gcf and the other is the sum of two numbers that do not have a common factor, then the expression will be 8(7 + 12)

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Answer:

Step-by-step explanation:

y=3

Answer:

9.5ft

Step-by-step explanation:

a²+b²=c²

equation

24²=c²

22²=a²

put in the variables

24²-22²=b²

Rearrange the equation

576-484=92

square

√92

Square root answer

9.5ft

Answer

Answer:

\(6 \frac{1}{4} =\frac{25}{4} \\\\2 \frac{1}{5} = \frac{11}{2}\\\\\)

\(\frac{25}{4} \times \frac{11}{2} = \frac{275}{8}=34 \frac{3}{8}\) (Amount Jona hiked)

Answer:

13 3/4

Step-by-step explanation:

Answer:

1.18.333333333

2.307

3.600

The required value of x for the given proportion is 45.31

What is proportion?

Proportion is a mathematical relationship or ratio between two or more values. It is used to compare the size, quantity, or degree of two or more objects or measurements. Proportion can be expressed as a fraction, decimal, or percentage. It is often used in geometry, algebra, and calculus to determine the size of a shape or to solve an equation. Proportion is also used in statistics to compare data sets. In everyday life, proportion is used to make sure that items are in good balance with each other. For instance, proportions are used when baking a cake or making a recipe to ensure that the ingredients are properly combined.

Given, the proportion

x : 15 = 29 : 9.6

or, x = \(\frac{29}{9.6}\) × 15

or, x = 45.31

Hence, the required value of x for the given proportion is 45.31

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The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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The range of the graph is [3, ∞), because it has a minimum value at y = 3

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

The graph

The above graph is an absolute value graph

The rule of a graph is that

Using the above as a guide, we have the following:

Domain = All real values

Range = [3, ∞), because it has a minimum value at y = 3

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Answer:

The power house of the cell is the Mitochondria

Step-by-step explanation:

Mitochondria

is the power house of the cell

Answer:

Step-by-step explanation:

High-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

A scatter plot is a graphical representation of data points, with the x-axis representing the independent variable (such as the level of production) and the y-axis representing the dependent variable (such as the cost). Linear cost behavior means that the relationship between the independent and dependent variables can be approximated by a straight line. In other words, as the independent variable increases or decreases, the dependent variable changes proportionally.

To determine if a scatter plot depicts linear cost behavior, you need to visually examine the data points. If the points appear to align closely along a straight line, it indicates a linear relationship. However, if the points are scattered and do not follow a clear pattern, it suggests non-linear cost behavior.

High-low or least squares regression analysis are statistical techniques used to estimate and quantify the linear relationship between variables. These methods help determine the equation of the line that best fits the data points and can be used to predict future values. Therefore, performing these analyses is only meaningful when the scatter plot indicates linear cost behavior.

In summary, high-low or least squares regression analysis should only be done if a scatter plot depicts linear cost behavior.

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The probability that less than a third of the entry forms will include an order is 0.3760.

To solve this problem, we need to use the binomial distribution, which is a probability distribution that describes the number of successes in a fixed number of independent trials. In this case, we want to find the probability that less than a third of the 15 entries will include an order, given that the probability of receiving an order with an entry form is 0.5.

Let X be the random variable that represents the number of entries with an order out of the 15 total entries. Then X follows a binomial distribution with parameters n=15 and p=0.5. The probability of less than a third of the entries having an order is equivalent to the probability of X being less than or equal to 5, since 5 is one third of 15.

Using a binomial probability table or calculator, we can find that the probability of X being less than or equal to 5 is 0.3760, rounded to four decimal places.

In summary, we used the binomial distribution to model the number of entries with an order, and found the probability that less than a third of the entries will include an order. We obtained a probability of 0.3760, which represents the likelihood of observing 5 or fewer entries with an order out of the 15 total entries.

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Answer:

you can do it !! .. here's how

Step-by-step explanation:

slope = rise / run

pick any two coordinates that the line goes through

set up the equation using the y - coordinates at the top and the x- coordinates on the bottom

subtract the two y - coordinates and then the x-coordinates

then you will get your answer.

hope this helps

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Answer:

5/6 x 3/2

Step-by-step explanation:

I think that would be correct out of all of those. I hope this helped!

(Please don't be mean if it's wrong, it's what I learned)

(a) The 3 × 3 contingency table relating party affiliation to intended vote is as follows:

PartyAffiliationVoteDemocrat (D)

Republican (R)

Independent (I)

TotalD2020 040R2015 035I1015 030

Total507050

The given data in the contingency table gives us information about the count of people in the random sample of 50 potential voters for different parties, their preferred vote, and their plan to vote.

(b) The conditional distributions on intended vote for each of the three party affiliations are:D: The total number of democrats is 20, of which 20 chose Democratic candidates and 0 chose Republican candidates. Therefore, P(D | D) = 20/20 = 1, P(R | D) = 0/20 = 0, and P(U | D) = 0/20 = 0.R: The total number of republicans is 15, of which 0 chose Democratic candidates and 15 chose Republican candidates. Therefore, P(D | R) = 0/15 = 0, P(R | R) = 15/15 = 1, and P(U | R) = 0/15 = 0.I: The total number of independents is 15, of which 0 chose Democratic candidates and 0 chose Republican candidates. Therefore, P(D | I) = 0/15 = 0, P(R | I) = 0/15 = 0, and P(U | I) = 15/15 = 1.The conditional distributions on intended vote for each of the three party affiliations are very different because of the variation in party affiliation among the sample. The Democrats were only choosing the Democratic candidate, Republicans were only choosing the Republican candidate, and Independents were undecided with half of them planning to vote. The random sample of 50 potential voters shows us the conditional distributions of intended votes based on party affiliation and also informs us about the count of people in the sample for different parties, their preferred vote, and their plan to vote.

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Answer:

\( \sf \: x = 25\)

Step-by-step explanation:

Given equation,

→ (x - 7)2 = 36

Now the value of x will be,

→ 2(x - 7) = 36

→ (2 × x) - (2 × 7) = 36

→ 2x - 14 = 36

→ 2x = 36 + 14

→ 2x = 50

→ x = 50/2

→ [ x = 25 ]

Hence, the value of x is 25.

Answer:

x = 25

Step-by-step explanation:

(x-7)2 = 36

divide both sides by 2

x-7 = 18

add 7 to both sides

x = 25

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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We have the following polynomial:

Now, we can rewrite the polynomial in descending order as follows:

As we can see, the order in descending order takes into account the values for the exponents of the variable (an unknown value), x. Since the degree of a polynomial is the highest degree of any term of the polynomial, and this term is represented by:

In other words, the degree of a polynomial is the highest power we have for any term in the polynomial.

Therefore, the degree of the polynomial is 5, and we can write it, in descending order as follows:

In summary, therefore, the degree of the polynomial is 5, in this case, and if we write it in descending order, we have:

Answer:

4,9

Step-by-step explanation:

Answer:

4,9

Step-by-step explanation:

Perimeter of the soccer field is 306 meters.

A shape's perimeter  is defined as the total length of its bounds. The perimeter of a shape is determined by summing all sides and side lengths that enclose the shape. It is measured in linear measurement units such as centimeters, meters, inches, and feet.

Given,

Length of the soccer field = 98 meters

Width of the soccer field = 55 meters wide

Perimeter of rectangle = 2(Length + Width)

Perimeter of soccer field = 2(98 + 55)

Perimeter of soccer field = 2(153)

Perimeter of soccer field = 306 meters

Hence, 306 meters is the perimeter of the soccer field.

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