Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normal distribution with a mean of 21 gallons per week and a standard deviation of 3.5 gallons per week. The new manager desires a service level of 90 percent. Lead time is two days, and the dairy is open seven days a week. (Hint: Work in terms of weeks.) Use Table B and Table B1.

a-1. If an ROP model is used, what ROP would be consistent with the desired service level?

(Do not round intermediate calculations. Round your final answer to 2 decimal places.)

ROP gallons:

a-2. How many days of supply are on hand at the ROP, assuming average demand? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Days:

b-1. If a fixed-interval model is used instead of an ROP model, what order size would be needed for the 90 percent service level with an order interval of 10 days and a supply of 8 gallons on hand at the order time? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)

Order size gallons:

b-2. What is the probability of experiencing a stockout before this order arrives?(Do not round intermediate calculations.Round your final answer to the nearest whole percent. Omit the "%" sign in your response.)

Probability %:

c. Suppose the manager is using the ROP model described in part a. One day after placing an order with the supplier, the manager receives a call from the supplier that the order will be delayed because of problems at the supplier’s plant. The supplier promises to have the order there in two days. After hanging up, the manager checks the supply of walnut fudge ice cream and finds that 2 gallons have been sold since the order was placed. Assuming the supplier’s promise is valid, what is the probability that the dairy will run out of this flavor before the shipment arrives? (Do not round intermediate calculations. Round your final answer to the nearest whole percent. Omit the "%" sign in your response.)

Risk probability %

The Equation of line is y = -x + 3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Take the points (4, -1) and (0, 3).

so, the slope of line is

m = (3+ 1)/ (0-4)

m = 4/ (-4)

m = -1

So, the equation of line

y= mx+ b

y= -x + b

and, 3 = b

So, the required equation is y = -x + 3.

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A 10-segment trapezoidal rule is exact to find integrals of polynomials of order 3 or less. Here's a step-by-step explanation:

1. The trapezoidal rule is a numerical integration method used to approximate the integral of a function.
2. It works by dividing the area under the curve of the function into a series of trapezoids and then summing their areas.
3. The number of segments (trapezoids) determines the accuracy of the approximation. In this case, we have 10 segments.
4. The trapezoidal rule is exact for polynomials of order 1 (linear functions) because the area under the curve of a linear function can be exactly represented by trapezoids.
5. However, the trapezoidal rule can also provide exact results for higher-order polynomials in certain cases. For a 10-segment trapezoidal rule, it turns out to be exact for polynomials of order 3 or less.

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Answer:

6x²

Step-by-step explanation:

3x×2x=6...... then an x²

Therefore answer is 6x²

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

Step-by-step explanation:

The ratio formula is given as a:b = a/b for any two quantities, let's say a and b. Given that a and b are separate amounts for two quantities, the combined total quantity is denoted by (a + b).

There are 48 lollipops and 6 candy bars for a gift bag.

Then the possible ratios of lollipops to candy bars are:

( 48 / 6 ) ÷ ( 2 / 2) = ( 24 / 3 )

( 48 / 6 ) ÷ ( 3 / 3) = ( 16 / 2 )

( 48 / 6 ) ÷ ( 6 / 6) = ( 8 / 1 )

There are 48 lollipops for every 6 candy bars.

There are 24 lollipops for every 3 candy bars.

There are 16 lollipops for every 2 candy bars.

There are 8 lollipops for every 1 candy bar.

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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Answer:

A

Step-by-step explanation:

-1/5 j + 3/4 - 5/2 j - 7/8 =

= (-2-25)/10 j + (6-7)/8 =

= -27/10 j - 1/8

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

The amount still owed on the car after the 24th payment is $15,213.28.

First, let's find the monthly interest rate. We can calculate this by dividing the nominal annual interest rate by the number of compounding periods in a year. Here, we have monthly compounding, so:

Monthly interest rate = Nominal annual interest rate ÷ 12

= 7% ÷ 12

= 0.00583 (rounded to 5 decimal places)

Next, let's calculate the loan amount using the present value formula:

PV = PMT × [1 - (1 + r)^(-n) ÷ r]

where PV = present value (loan amount), PMT = monthly payment, r = monthly interest rate, and n = total number of payments.

PV = $400 × [1 - (1 + 0.00583)^(-72) ÷ 0.00583]

= $23,122.52 (rounded to 2 decimal places)

To find out how much is still owed on the car after the 24th payment, we can use the remaining balance formula:

R = PV × (1 + r)^n - PMT × [(1 + r)^n - 1 ÷ r]

where R = remaining balance, PV = present value (loan amount), r = monthly interest rate, n = number of payments made, and PMT = monthly payment.

R = $23,122.52 × (1 + 0.00583)^24 - $400 × [(1 + 0.00583)^24 - 1 ÷ 0.00583]

R = $15,213.28 (rounded to 2 decimal places)

Therefore, the amount still owed on the car after the 24th payment is $15,213.28.

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Answer:

Id say a Line Graph

Step-by-step explanation:

Answer:

I'm pretty sure it's a Line chart

The cost for 1 song is $0.99, then from the 150 songs 149 will cost $0.10, therefore, the total cost for the 150 songs is:

Answer: $15.89.

Answer:

4022

Step-by-step explanation:

48264/12=4022

Answer:

$4,022

Step-by-step explanation:

Because it is an annual salary (yearly), you would take the number and divide it by 12 (the amount of months in a year). This leaves you with $4,022

The area of a square can be found by using the following expression:

where "A" is the area and "l" is the length of each side of the square. The square on this problem has an area of 9 cm², so we can find the sides by replacing A for 9 on the expression above.

To solve it we need to take the square root on both sides of the equation.

Each side of the square has a length of 3 cm, so the sides are 3 cm x 3 cm.

There should be 27 cameras.

The amount of space filled by a flat (2-D) surface or an object's form is known as its area. Draw a square on a sheet of paper with a pencil. A 2-D figure, that is. The term "Area" refers to the area that a form occupies on paper. Now picture that your square is composed of smaller unit squares.

It is 150 feet by 70 feet.

The size of the store will be 150 x 70  feet, or 10,500 square feet. The security cameras now each have 400 square feet.

The area of the shop / each camera's area will determine how many cameras are needed, which is 10500/400.

which is 27

27 cameras are therefore required.

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Answer: 9/16

Step-by-step explanation:

Answer:

385 hamburgers.

Step-by-step explanation:

So the data they have given us is that there have been 2 home games, with 70 hamburgers sold. If we divide the number of hamburgers sold by the number of games (70/2), we come up with the average hamburgers sold per game, which is 35. We can use an equation to find the amount of hamburgers sold for every x amount of games. \(h = 35x\), with x being the amount of games, and h being the total amount of hamburgers. If you plug in 11 for x, you will get 385.

The correct option is C. political affiliation.

An example of quantitative data are-

Data that expresses a definite quantity, amount, or range is known as quantitative data. In most cases, the data is accompanied with measuring units, such as metres in the case of a person's height. Setting boundaries for such data makes sense, and performing mathematical operations on the data has significance.

Types of Quantitative Data are-

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The complete question is-

8. Each of the following is an example of quantitative data, except ______.

A. weight in ounces

B. income in dollars

C. political affiliation

D. age in years

Answer:

C.15.5r

Step-by-step explanation:

Answer:

13.5r

Step-by-step explanation:

Just took it

The expression that represents the number of hours after working for x weeks is y = 45 - 3x.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the person will work 3 hours for every week until he accumulates 45 hours.

Therefore, after working x weeks, the hours left will be:

y = 45 - 3(x)

y = 45 - 3x

where x = number of weeks

y = number of hours left.

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A person is willing to volunteer as a doctor's assistant in a clinic, he will work 3 hours a week until he accumulates 45 hours, write the general expression of the line that represents the number of hours Y that he has left to work after X weeks

The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

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Answer:

e^12

Step-by-step explanation:

Write the problem as a mathematical expression.

e^3 ⋅ e^9

Use the power rule and combine the exponents.

e^3 + 9^e

Add 3 and 9.

e^12

The result can be shown in multiple forms.

Exact Form:

e^12

If not the answer

The Decimal Form:

162754.79141900…

The solution for the equation -x² + 2x + x - 3x = -9 + 2 + 6 is derived to be x = 1

We shall solve for x by simplifying the equation and making x the subject as follows:

-x² + 2x + x - 3x = -9 + 2 + 6

-x² + 3x - 3x = 8 - 9

-x² = -1

multiply both sides by -1 we have;

x² = 1

take square root of both sides

x = √1

x = 1

Therefore, the equation -x² + 2x + x - 3x = -9 + 2 + 6 will have a solution for the value of x = 1

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-2 radians measure in degrees is -115 degrees

To convert -2 radians to degrees, we can use the conversion factor for angle measures, which states that:

π radians = 180 degrees.

Thus, to convert -2 radians to degrees, you can multiply -2 by 180/π. That is:

-2 radians * (180/π) = -114.59 degrees

Rounded to the nearest degree, we have:

-2 radians = -115 degrees

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Completely factorize the polynomial using any methods that are appropriate, then look for shared factors and the polynomial's roots. Next, double-check your work to confirm accuracy.

Follow these steps to determine a polynomial's factorization:

Completely factor the polynomial using any relevant techniques, including grouping, utilizing the difference of squares or cubes, or using the quadratic formula.

By multiplying them all together, you can verify that each factor is accurate. The final figure must match the initial polynomial.

Look for shared factors among the polynomial factors. If the polynomial has common components, remove them from the equation and rewrite it as the product of the common factors and the other factors.

The polynomial's roots can be verified by setting each factor to zero and calculating the variable. The roots ought to correspond to the original polynomial.

Verify your work a second time to make sure all relevant elements have been identified and taken into consideration.

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The solution of the given inequality 15(1/3b+3) ≤ 6(b+9) is 5b + 45 ≤ 6b + 54.

So, 15(1/3b+3) ≤ 6(b+9):

Therefore, he solution of the given inequality 15(1/3b+3) ≤ 6(b+9) is 5b + 45 ≤ 6b + 54.

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Answer:

1/10 or 10%

Step-by-step explanation:

5, 15, 25, 35, 45

There are 5 numbers possible

5/50

1/10

Answer:

1/10 or 10%

Step-by-step explanation:

Odd numbers are the numbers that cannot be divided by 2 evenly.

It cannot be divided into two separate integers evenly. If we divide an odd number by 2, then it will leave a remainder.

So then, the answer is 1/10 or 10%

Brainliest?!

Answer:

The first plan is better

Step-by-step explanation:

The first plan is better because after you do a yearly subscription you only have to pay 335 dollars. The second plan has to make you pay 420 dollars for a yearly subscription. Choose the 1st plan for a cheaper cost.

Answer:

the answer will be 6 if am wrong please tell me

Answer:

f(6) = 30

Step-by-step explanation:

f(x) = x^2 - x is the function, correctly written.

To find f(6), substitute 6 for each occurrence of x:

f(6) = 6^2 - 6, or

f(6) = 36 - 6, or

f(6) = 30

Answer:

12 pi mm

Step-by-step explanation:

formula : circumfrence =  2 pi r

so pi * 2*6 mm = 12 pi mm