To implement a financial simulation model for a new product proposal and determine a distribution of profits, we will need to use the provided discrete distributions for the unit cost, demand, and fixed costs. The price is fixed at $1,000, and we will simulate this model for 50 trials and a production quantity of 140.
First, we will need to generate random values for each of the three input variables (unit cost, demand, and fixed costs) for each trial. We can use the discrete distributions provided to do this. Once we have generated these values, we can calculate the total revenue for each trial as 1,000 times the demand for that trial.
Next, we will need to calculate the total cost for each trial. This will be the sum of the unit cost times the production quantity, plus the fixed costs. Once we have the total revenue and total cost for each trial, we can calculate the profit for each trial by subtracting the total cost from the total revenue.
We can then use these 50 profit values to determine the distribution of profits. We can calculate the average profit by taking the mean of these 50 profit values.
Overall, the simulation model will allow us to determine a range of possible profits for the new product proposal, based on the input variables and their distributions. By running the model multiple times, we can get a better sense of the expected value of profit and the range of possible outcomes.
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Describe in words where the square root of thirty-five would be plotted on the number line. between 5 and 6, but closer to 5 between 5 and 6, but closer to 6 between 6 and 7, but closer to 6 between 6 and 7, but closer to 7
The square root of twenty-four would be plotted (C) between 6 and 7, but closer to 6 on a number line.
What is a number line?A number line is a horizontal line with evenly spaced number increments. The numbers on the line will dictate how the number on the line can be answered. The question that corresponds with the number specifies how it will be utilized, such as graphing a point.Number lines are extremely adaptable manipulatives that can be used for locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and more.To find where the √37 would be plotted on the number line:
As we all know that √37 is 6.082.If we round that off, the number will be 6.So, option (C) between 6 and 7, but closer to 6 is correct.Therefore, the square root of twenty-four would be plotted (C) between 6 and 7, but closer to 6 on a number line.
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The correct question is given below:
Describe in words where the square root of thirty-five would be plotted on the number line.
(A) between 5 and 6, but closer to 5
(B) between 5 and 6, but closer to 6
(C) between 6 and 7, but closer to 6
(D) between 6 and 7, but closer to 7
question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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Draw a number line showing the whole numbers 16 through 19 and divisions between whole numbers in thirds.
Note: This is class 6 maths so please do it in class 6 way and not in the high school way. I need this answer as soon as possible.
I have attached the image.
explain the real-world meaning of the parameters a, b, and c of the quadratic function model. based on data from 1990 to 2003, the amount of money spent on prescription drugs (per capita) can be modeled by
The parameters a, b, and c of a quadratic function model have different real-world meanings that relate to the specific context of the data being analyzed. In the case of the quadratic function model used to analyze the amount of money spent on prescription drugs per capita between 1990 and 2003.
The parameters can be defined as follows:
a: The parameter a represents the coefficient of the squared term in the quadratic function model. In the context of the amount of money spent on prescription drugs per capita, a represents the curvature of the relationship between time and spending.
A positive value of a indicates a U-shaped curve, while a negative value of a indicates an inverted U-shaped curve.
b: The parameter b represents the coefficient of the linear term in the quadratic function model. In the context of the amount of money spent on prescription drugs per capita, b represents the rate of change of spending over time.
A positive value of b indicates that spending is increasing over time, while a negative value of b indicates that spending is decreasing over time.
c: The parameter c represents the intercept of the quadratic function model. In the context of the amount of money spent on prescription drugs per capita, c represents the initial amount of spending at the beginning of the time period being analyzed.
Hence, a represents the curvature of the relationship between time and spending, b represents the rate of change of spending over time, and c represents the initial amount of spending at the beginning of the time period.
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a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.
Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:
x = 69.5 + (1.04 * 9.5) ≈ 79.58
Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.
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Suppose the cost of electricity is $0.30 for each kilowatt-hour. Carlos's house runs on 11.4 kilowatt-hours a day. Find the cost of electricity for Carlos's house in one day.
Answer:
$3.42
Step-by-step explanation:
the cost = 11.4 × 0.30 = $ 3.42
Whats the answer to x^2=9
Answer:
x=3
Step-by-step explanation:
3 times 3 is 9
Answer:
X=3
Step-by-step explanation:
The legs of a right triangle are $2.64$ and $4.95.$ Find the hypotenuse of the right triangle. (Do not use a calculator!)
Answer:
The Hypotenuse of the right triangle is 5.6101
Step-by-step explanation:
To find the hypotenuse of a right triangle when the lengths of the legs are given, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
Given:
Length of the first leg (a) = 2.64
Length of the second leg (b) = 4.95
We can use the Pythagorean theorem to find the hypotenuse (c):
c^2 = a^2 + b^2
Substituting the given values:
c^2 = (2.64)^2 + (4.95)^2
c^2 = 6.9696 + 24.5025
c^2 = 31.4721
To find the value of c, we take the square root of both sides:
c = sqrt(31.4721)
c ≈ 5.6101
Therefore, the hypotenuse of the right triangle is approximately 5.6101.
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Which of the following expressions are equivalent to…I will send a screenshot of the expression I need help with.
Explanation
We have an expression given as
\(-\frac{2}{-13}\)To find the equivalent value, we will make use of the fact that when two negative signs divide or multiply each other, the resulting value is always positive
Thus
The simplified answer is
\(\frac{2}{13}\)In our case, we will have a positive outcome
Therefore, the correct answers will be options A and B
h(t)=-2t^(2)+3t+9 most closely represents the height (h) of the diver in feet after t seconds. How long before the diver hits the water?
The diver hits the water after approximately 1.5 seconds or 3 seconds. The equation h(t) = -2t^2 + 3t + 9 represents the height (h) of the diver in feet after t seconds.
To determine how long before the diver hits the water, we need to find the value of t when the height is equal to zero.
To find the time when the diver hits the water, we set the equation equal to zero: -2t^2 + 3t + 9 = 0. This is a quadratic equation, which can be solved using various methods such as factoring, completing the square, or using the quadratic formula.
In this case, we can use the quadratic formula: t = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = -2, b = 3, and c = 9.
Substituting these values into the formula, we have: *t = (-3 ± sqrt(3^2 - 4(-2)9)) / (2(-2))**.
Simplifying further, we get: t = (-3 ± sqrt(9 + 72)) / (-4).
After simplifying the square root, we have: t = (-3 ± sqrt(81)) / (-4).
Since the square root of 81 is 9, we get: t = (-3 ± 9) / (-4).
Calculating both possibilities, we have: t = (-3 + 9) / (-4) = 1.5 and t = (-3 - 9) / (-4) = 3.
Therefore, the diver hits the water after approximately 1.5 seconds or 3 seconds.
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Triangle SAM is congruent to Triangle REN. Find x and y.
\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)
A recipe calls for 3/4 of a pound of flour to make 1 batch of cookies. how many batches of cookies can be made with 5 pounds of flour? include parts of the batch in the answer.
Answer:
20/3 batches of cookies can be made with 5 pounds of flour.
Step-by-step explanation:
given-
A recipe calls for 3/4 of a pound of flour to make 1 batch of cookies
asking-how many batches of cookies can be made with 5 pounds of flour
3/4 pound of flour=> 1 batch of cookies
then,
1 pound of flour=> 4/3 batch of cookies
so, required answer---
5 pound of flour=>5*( 4/3) batch of cookies
=>20/3=6.66 batch of cookies
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What is 11 1/20 as a decimal?
11,05
Step-by-step explanation:
11 1/20
= (11 × 20 + 1)/20
= (220 + 1)/20
= 221/20 → times 5
= 1105/100
= 11,05
Answer:
11.05
Step-by-step explanation:
To convert a fraction to a decimal, multiply the fraction by \(\frac{x}{x}\), x being the number that will multiply with the denominator to equal 100.
In this case, the value of x would be 5 because 20 × 5 = 100.
Now, multiply \(\frac{1}{20}\) × \(\frac{5}{5}\):
\(\frac{1}{20}\) × \(\frac{5}{5}\) = \(\frac{5}{100}\)
5 hundredths is equal to 0.05, so 11\(\frac{1}{20}\) = 11.05.
you are in a situation where you are looking for a second supplier for the material for your structure. sample 1 is from material from your current supplier and you have received sample 2 from the material from the second supplier you are considering. sample 1 (ksi) sample 2 (ksi) 78,500 82,150 79,600 83,500 76,900 81,500 77,600 80,800 79,100 82,700
You have received samples from both your current supplier (sample 1) and the potential second supplier (sample 2). Sample 1 exhibits a range of tensile strengths (ksi) from 78,500 to 79,100, while sample 2 showcases a higher range of tensile strengths, varying from 82,150 to 83,500.
The comparison of the samples suggests that the material provided by the second supplier (sample 2) demonstrates a consistently higher tensile strength when compared to the material from your current supplier (sample 1). This indicates that the second supplier's material might offer superior strength and reliability for your structure. However, it is essential to consider other factors such as cost, delivery times, quality control, and overall suitability before finalizing the decision to switch suppliers. Conducting further tests and evaluations on the samples, as well as considering these additional factors, would help make an informed choice regarding the selection of a second supplier for your structure's material.
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10.
A snail travels at a rate of 2.37 feet per minute.
a. Write a rule to describe the function.
b. How far will the snail travel in 6 minutes
A. d(t) = t/2.37; 2.53ft
B. d(t) = t + 2.37; 8.37 ft
C. d(t) = 2.37t; 14.22 ft
D. d(t) = 6t; 14.22 ft
Answer:
C. d(t) = 2.37t; 14.22 ft
Step-by-step explanation:
2.37 per minute is multiplication so A and B are definitely wrong
Another way to check is 2.37*6=14.22 so the answer is C
Answer:
D. d(t) = 6t; 14.22 ft
Step-by-step explanation:
d(t)= 2.37t; 14.22 ft
d(t)= 2.37t; 14.22 ft
Answer:
a. f(t)=2.37t
b. 14.22 feet
Step-by-step explanation:
We are given that:
A snail travels at a rate of 2.37 feet per minute.
a. write a rule to describe a function.
Let t describe the time and f(t) be a function how far snail travels
then, f(t)=2.37×t
where the unit of t is in minutes and that of f(t) is feet
b. how far will the snail travel in 6 minutes
we have to find f(t) at t=6
f(6)= 2.37×6
= 14.22 feet
Hence, snail traveled 14.22 feet in 6 minutes
2.37/minute
14.22 feet in six minutes
Answer:
Rule for Distance is f(t) = 2.37t and distance covered in 6 minutes is 14.22 feet.
Step-by-step explanation:
Speed of Snail = 2.37 feet per minute
To write the rule we use relation of Speed, Distance and time
Distance = Speed × Time
So, Distance cover by snail in t minutes is given by f(t) = 2.37 × t
⇒ f(t) = 2.37t
Distance traveled by Snail in 6 minutes , f(6) = 2.37 × 6 = 14.22 feet
Therefore, Rule for Distance is f(t) = 2.37t and distance covered in 6 minutes is 14.22 feet.
find the slope of the altitude on each side of triangle ABC. (b) A(4,0), B(0,4), C(0,0)
We are given a triangle with the following vertices
A(4, 0)
B(0, 4)
C(0, 0)
Let us draw the altitude on each side of triangle ABC
As you can see, we have drawn the altitude on each side of the triangle.
The slopes of these altitudes are given by
\(\begin{gathered} slope\: AD=-\frac{1}{slope\: BC} \\ slope\: BE=-\frac{1}{slope\: AC} \\ slope\: CF=-\frac{1}{slope\: AB} \end{gathered}\)Slope BC:
B(0, 4) and C(0, 0)
\(slope\: BC=\frac{y_2−y_1}{ x_2−x_1}=\frac{0-4}{0-0}=-\frac{4}{0}=\text{undefined}\quad (\text{vertical line)}\)Slope AC:
A(4, 0) and C(0, 0)
\(slope\: AC=\frac{y_2−y_1}{x_2−x_1}=\frac{0-0}{0-4}=\frac{0}{-4}=0\: \quad (\text{horizontal line)}\)Slope AB:
A(4, 0) and B(0, 4)
\(slope\: AB=\frac{y_2−y_1}{x_2−x_1}=\frac{4-0}{0-4}=\frac{4}{-4}=-1\)As you can see, only the slope of altitude CF exists.
\(slope\: CF=-\frac{1}{slope\: AB}=-\frac{1}{-1}=1\)Therefore, the slope of altitude CF is found to be 1
If the area of a triangle with a base measuring 22 feet is 93.5 square feet, find its height.
Answer:
height = 8.5 feet
Step-by-step explanation:
Area of a triangle formula:
a=1/2bh
substitute what's given
93.5 = (1/2)22h
93.5=11h
divide both sides by 11 to isolate h
h=8.5 ft
how to derive the quadratic formula from ax2+bx+c=0
The quadratic formula, providing the solutions for any quadratic equation is \(x = (-b \pm \sqrt(b^2 - 4ac)) / (2a).\)
To derive the quadratic formula, we start with the quadratic equation in standard form: \(ax^2 + bx + c = 0\), where a, b, and c are constants and a ≠ 0.
Step 1: Divide the equation by 'a' to isolate the quadratic term:
\(x^2 + (b/a)x + c/a = 0.\)
Step 2: Move the constant term (c/a) to the right side:
\(x^2 + (b/a)x = -c/a.\)
Step 3: Add (b/2a)^2 to both sides of the equation to complete the square on the left side:
\(x^2 + (b/a)x + (b/2a)^2 = (b/2a)^2 - c/a.\)
Step 4: Simplify the right side:
\(x^2 + (b/a)x + (b^2/4a^2) = (b^2 - 4ac) / (4a^2).\)
Step 5: Factor the left side of the equation:
\((x + b/2a)^2 = (b^2 - 4ac) / (4a^2).\)
Step 6: Take the square root of both sides:
\(x + b/2a = \pm \sqrt((b^2 - 4ac) / (4a^2)).\)
Step 7: Simplify the right side:
\(x + b/2a = \pm \sqrt(b^2 - 4ac) / (2a).\)
Step 8: Finally, isolate 'x' by subtracting b/2a from both sides:
\(x = (-b \pm \sqrt(b^2 - 4ac)) / (2a).\)
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A mountain is in the shape of a cone whose height is about 3.8 kilometers and whose base radius is about 3 kilometers. Approximate the volume of the mountain in cubic kilometers.
The volume of the mountain is approximately cubic kilometers.
(Round to the nearest whole number as needed.)
Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.
What is volume?Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.
In the given question,
The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.
Substituting the given values, we get:
V = (1/3) × 3.14 × 3² × 3.8
V ≈ 35.63
Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.
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Which graph can be used to find the solution of the following system of equations?
Answer:
A
Step-by-step explanation:
1. Honestly, my course of action, if allowed to, would be to use my graphing calculator. Obviously, you can graph the first equation but the second one requires some rearranging, keeping in mind that we are isolating the y.
\(2y-2x=10\)
\(2y=2x+10\)
\(y=x+5\)
So now we have an equation of the line. Simply enter both of these equations into your graphing calculator and you're all set.
I hope this helps!
what is the evaluated expression of
(4^-3) (4^6)
Answer:
4096/64
Step-by-step explanation:
Part 1 of 12
The table below shows the length and weight of a species of fish. Complete parts (a) and (b).
Red Length (in.)
Weight (lb)
Fish Lengths and Weights
4
6
8
1.24 1.45 1.70
10
1.99
12
2.33
(a) Find an exponential model for the data.
1)
The exponential model for the data is y=
(Use integers or decimals for any numbers in the expression. Round to three decimal places as
Frr
The exponential function is given by y = 0.9(1.082)ˣ
Exponential function
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the fish weights at x inches.
Using point (4, 1.24):
1.24 = ab⁴ (1)
Using point (10, 1.99):
1.99 = ab¹⁰ (2)
From equation 1 and 2:
b = 1.082, a = 0.9
The exponential function is given by y = 0.9(1.082)ˣ
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Which of the following is equivalent to the addition problem below?
27.93 +61.63
what makes 3+7+2= +2true?
The equation 3+7+2=+2 is actually not true, but false.
Is the 3+7+2= +2true?The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.
In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.
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If a triangle has three sides, First side is 6, Second side is and third side is x+1, find x
By the law of cosine, the equation 35 / (2 + 12 · cos θ) represents all the possible values of x.
How to determine the value of a variable associated with the measures
In this question we need to find all the possible values of the variable x associated to the triangle presented in the figure. The value of the variable is determined by the law of cosine:
(x + 1)² = x² + 6² - 2 · 6 · x · cos θ
x² + 2 · x + 1 = x² + 36 - 12 · x · cos θ
(2 + 12 · cos θ) · x = 35
x = 35 / (2 + 12 · cos θ)
The equation 35 / (2 + 12 · cos θ) contains all the possible values of x.
Remark
After a quick investigation, we reconstructed the figure and found the complete statement:
If a triangle has three sides. The first side is 6, the second side is x and the third side is x + 1. Find x.
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the average height for 15 year old boy is
The average height for a 15-year-old male in the United States is roughly 5 feet, 7 inches, according to the Centers for Disease Control and Prevention (CDC) growth charts (170 cm). Some 15-year-old guys may be shorter or taller than usual.
Height is a measure of the distance between the base of an object and its highest point. Human height is commonly described as the vertical distance between the bottom of the feet and the top of the head. Height is generally measured in centimetres or feet and inches. Height is an important physical feature that can be influenced by both inherited and environmental factors such as nutrition and physical activity.
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HELP ASAP PLEASE!
Which graph represents the solution to this system of inequalities:
3x - 5y ≤ 15
y > -2/3 x + 1
1. You can add 5Y to both sides of the equation: 3X-5Y+5Y=5Y+15.
2. Subtract 15 from both sides to isolate "5Y." 3X-15=5Y.
3. Now, divide "5Y" by the number next to it. (3/5)X-15/5 =(5/5) Y.
4. Then simplify, and you get (3/5)X - 3 =Y. Enter this equation into the graphing calculator.
5. After you have both equations entered, press "GRAPH."
6. If you want to see the intersection of the two lines a little better, go to function 2, "WINDOW."
7. Change the X-min to X-min=-20 and Y-min=-15; then press "GRAPH" again.
8. To find the "intersect" button, go to 4th function called "TRACE." "Intersect" is number 5 on the list.
9. When you press it, it is asking for a guess, but all you need to do is press the "ENTER" button three times. You will see the word "Intersection." The two lines intersect at those X and Y values. Just write it into a coordinate point.
Note: This intersection point is the same for both lines. It is the solution to this system of equations. Check this out in the table function, which is right below the "GRAPH" function. Just press the "2nd" button on the left, right below the "Y=" button.
Go to the "X=-10" and Y1 and Y2= same values.
10. I am going to let you find the complete values for the coordinate point.
There is no options, just a box to type in your answer. PLEASE HELP!!!! 50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!!!!!
Answer:
16.4 TRUST ME
Step-by-step explanation:
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value of 3a – 5b when a = –4 and b = 2 .
Answer:
- 22
Step-by-step explanation:
3(-4) - 5(2)
-12 - 10
- 22
Answer:
-22
Step-by-step explanation:
3(-4) = -12
5(2) = 10
-12-10 =-22
A researcher would like to study the amount of mercury in trout that live in different water conditions. How could theresearcher divide the population of trout before taking a sample from each population for more accurate results?-river trout, stream trout: lake trout, ocean trout-all trout east of the Mississippi: all trout west of the Mississippi-trout larger than three inches trout smaller than three inches-trout with suspected mercury, trout without suspected mercury
Since our obsevation is the find out the amount of mercury in different water condition, it'll be best observed in river trout, stream trout; lake trout, ocean trout.