The equation for the regression line from the data is y = -0.98x + 56.8
Given data ,
To find the equation of the regression line, we will use the method of least squares. The regression line is represented by the equation:
y = mx + b
where m is the slope of the line and b is the y-intercept.
We need to calculate the values of m and b. Let's begin by finding the mean values of x and y:
Mean of x (x₁) = (6 + 13 + 14 + 10 + 13) / 5 = 12.2
Mean of y (y₁) = (25 + 44 + 46 + 52 + 57) / 5 = 44.8
Next, we calculate the deviations from the mean for both x and y:
Deviation from the mean of x (Δx) = x - x₁
Deviation from the mean of y (Δy) = y - y₁
Now, we calculate the sum of the products of the deviations from the mean:
Σ(Δx * Δy) = (6 - 12.2) * (25 - 44.8) + (13 - 12.2) * (44 - 44.8) + (14 - 12.2) * (46 - 44.8) + (10 - 12.2) * (52 - 44.8) + (13 - 12.2) * (57 - 44.8)
Σ(Δx * Δy) ≈ -51.6
Next, we calculate the sum of the squared deviations from the mean of x:
Σ(Δx²) = (6 - 12.2)² + (13 - 12.2)² + (14 - 12.2)² + (10 - 12.2)² + (13 - 12.2)²
Σ(Δx²) ≈ 52.8
Now, we can calculate the slope (m) using the formula:
m = Σ(Δx * Δy) / Σ(Δx²)
m ≈ -51.6 / 52.8 ≈ -0.98
Finally, we can calculate the y-intercept (b) using the formula:
b = y₁ - m * x₁
b ≈ 44.8 - (-0.98) * 12.2 ≈ 56.8
Hence , the equation of the regression line for the given data is:
y = -0.98x + 56.8
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The profit a company earns is the revenue the company makes minus the expenses. The
revenue the company makes in a month is represented by the equation R(x) = 5,000 - 2x²,
while the expenses of the company for the month are represented by the equation
E(x) = 15x + 1,000.
The expression to calculate the profit be,
⇒ P(x) = -2x² - 15x + 4,000
To calculate the profit of the company in a month,
we need to subtract the expenses from the revenue.
The profit equation (P) for the company in a month can be represented as,
⇒ P(x) = R(x) - E(x)
Substituting the given revenue and expense equations, we get,
⇒ P(x) = (5,000 - 2x²) - (15x + 1,000)
Simplifying the equation, we get,
⇒ P(x) = -2x² - 15x + 4,000
Therefore,
The profit of the company in a month can be calculated using the above equation,
where x represents the number of units sold or any other relevant variable.
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Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???
Answer:
6
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the missing number in the given sequence, let's analyze the pattern:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???
Looking at the sequence, we can identify a few patterns:
The sequence alternates between increasing and decreasing numbers.
The first two numbers, 2 and 4, are increasing.
The next two numbers, 4 and 3, are decreasing.
The following two numbers, 3 and 6, are increasing.
The subsequent two numbers, 6 and 3, are decreasing.
The next two numbers, 3 and 8, are increasing.
The subsequent two numbers, 8 and 9, are increasing.
Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.
Now let's determine the missing number:
From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.
Let's assume the missing number is x:
8 - x
Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):
8 - (3 - 1) = 8 - 2 = 6
Therefore, the missing number in the sequence is 6.
The complete sequence is:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6
Which angle or angles are supplementary to ∠EOF?
Giving brainliest
A. ∠AOB and ∠DOE
B. ∠BOC and ∠EOF
C. ∠COD and ∠AOF
D. ∠FOB and ∠COE
The angles supplementary to ∠EOF are ∠FOB and ∠COE.
What is supplementary angles?Supplementary angles are those angles that sum up to 180 degrees. In
other words, two angles are called supplementary when their measures
add up to 180 degrees.
Therefore, let's find the angles that are supplementary angles to ∠EOF.
Therefore, let's use the angle relationships in the line intersection to find
the angles that are supplementary to ∠EOF.
Hence, the angles supplementary to ∠EOF are ∠FOB and ∠COE
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a food truck sells two types of meals: a burrito bowl for $3 and a salad for $6. Yesterday, the food truck sold a total of 100 meals for a total of $396 Write the equations to find the number of burrito bowls and salads sold. Let x be the number of burrito bowls sold and y be the number of salads sold. Do not solve
Answer: The pair of equations required this the given question is x+y=100 and 3x+6y=396
Step-by-step explanation:
If x denotes the number of burritos and y denotes the number of salads sold. then,
1. x+y =100 (as there are a total of 100 meals sold)
2. 3x+6y=396(as the cost of each burrito is $3 and cost of each salad is $6, the total cost of the meal is $396)
Hence, The pair of equations required this the given question is x+y=100 and 3x+6y=396
Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
12.6% $1,250 $950 $900
2.8% $575 $2,025 $2,350
10.4% $895 $1,185 $310
1.8% $800 $445 $1,600
−5.6% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 2, Portfolio 1, Portfolio 3
Based on the results, the below list shows a comparison of the overall performance of the portfolios, from best to worst:
Portfolio 2, Portfolio 1, Portfolio 3
Portfolio 1:
total investment=$1250+$575+$895+$800+$1775
total investment = $5295
weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)
weighted average ROR = 3.23%
Portfolio 2:
total investment = $950 + $2025 + $1185 + $445 + $625
total investment = $5230
weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)
weighted average ROR = 5%
Portfolio 3:
total investment = $900 + $2350 + $310 + $1600 + $2780
total investment = $7940
weighted average ROR = ( 12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)
weighted average ROR = 1%
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¿Cuál es el valor de 6 – (3x + 1) + 2x^2, cuando x = 4?
Answer:
Para encontrar el valor de la expresión 6 - (3x + 1) + 2x^2 cuando x = 4, sustituimos el valor de x en la expresión y evaluamos:
6 - (3x + 1) + 2x^2
= 6 - (3 * 4 + 1) + 2 * 4^2
= 6 - (12 + 1) + 2 * 16
= 6 - 13 + 32
= -7 + 32
= 25
Por lo tanto, cuando x = 4, el valor de la expresión 6 - (3x + 1) + 2x^2 es igual a 25.
Step-by-step explanation:
An aeroplane flies from a town X on a bearing of N45°E to another town Y, a distance of 200 km. It then changes course and flies to another town Z on a bearing of S60°E. If Z is directly east of X, calculate, correct to 3 significant figures, a the distance from X to Z by the distance from Y to XZ.
The distance from X to Z will be 386 km when rounded to 3 significant figures.
The distance from Y to XZ will be 141 km when rounded to 3 significant figures.
How to obtain the distancesTo obtain the distances, we need to extend the distances traveled by the airplane and this yields another triangular form. Angle Y = 105°, z = 200 km, and Z = 30°.
y/Sine Y = z/Sine Z
y/Sine 105° = 200/Sine 30°
y = 200 × 0.966/0.5
386 km to 3 significant figures
Also for the distance from Y to XZ,
We assume that the distance from Y to XZ is d
Sine 45°/1 = d/200
d = 200 sine 45°
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Refer to image attached
The rationalized form of the expression √(3/5) is √15/5.
To rationalize the denominator of the expression √(3/5), we need to eliminate the square root in the denominator.
We can achieve this by multiplying both the numerator and denominator by the conjugate of the denominator.
The conjugate of √5 is also √5, so we can multiply the expression by (√5)/(√5):
√(3/5)×(√5)/(√5)
Multiplying the numerator and denominator, we have:
√(3 × 5)/(√(5×5))
Which simplifies to:
√15/√25
√15/5
Therefore, the rationalized form of √(3/5) is √15/5.
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A box with square base and a height of 8cm has a volume of 1352cm. Find the length of a side of the base
Answer:
The length of a side of the base of the box is 13 cm.
Step-by-step explanation:
To find the length of a side of the base of the box, we need to use the formula for the volume of a box.
The volume of a box is given by the formula:
V = l^2 * h
Where:
V is the volume,
l is the length of a side of the base, and
h is the height of the box.
Substituting the given values:
V = 1352 cm^3
h = 8 cm
1352 = l^2 * 8
Dividing both sides by 8:
l^2 = 169
Taking the square root of both sides:
l = √169
Calculating the length of a side of the base:
l = 13 cm
Therefore, the length of a side of the base of the box is 13 cm.
To borrow money, you pawn your guitar Based on the value of the guitar, the paunbroker loans you $720. One month later, you get the guitar back by paying the paunbroker $1272. What annual interest rate did you pay?
You will pay a simple interest rate of
(Round to the nearest whole number as needed)
To determine the annual interest rate paid, we need to calculate the simple interest for one month and then convert it to an annual rate.
The formula for simple interest is:
Simple Interest = Principal × Rate × Time
In this case, the principal amount is $720, and after one month, you pay back a total of $1272. Therefore, the interest paid is:
Interest = $1272 - $720 = $552
We can now calculate the monthly interest rate:
Rate = Interest / Principal = $552 / $720 ≈ 0.7667
To convert the monthly interest rate to an annual rate, we multiply it by 12:
Annual Rate = Monthly Rate × 12 = 0.7667 × 12 ≈ 9.20
Therefore, you paid an annual interest rate of approximately 9.20%.
In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
D. Determining the best job to take based on the pay. when considering a new job. a. Job A is 40 hours per week and pays $15 per hour (gross pay) with no tips. b. Job B is 30 hours per week and pays $5 per hour (gross pay) plus tips (which average $350 per week).
The job A is the best job based on pay scale
Given data ,
a) Job A:
Hours per week: 40
Hourly rate: $15
On simplifying the equation , we get
Gross pay per week: 40 hours * $15/hour = $600
b) Job B:
Hours per week: 30
Hourly rate: $5
On simplifying the equation , we get
Gross pay per week: 30 hours * $5/hour = $150
In addition to the base pay, Job B also offers tips averaging $350 per week.
Considering the total compensation for each job:
Total compensation for Job A: $600 per week (base pay)
Total compensation for Job B: $150 per week (base pay) + $350 per week (tips) = $500 per week
Based on the total compensation, Job A offers a higher gross pay of $600 per week, while Job B offers a total compensation of $500 per week.
Hence , if the decision is solely based on pay, Job A would be the better choice.
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.Se lanzan tres monedas al aire simultáneamente ypara cada moneda se registra si aparece águila osol. ¿Cuál es la probabilidad de que ocurra cada uno de los siguientes eventos?
a) Que es obtengan dos águilas.
b) Que se obtenga al menos un águila. c) Que no es obtenga ninguna águila.
The probabilities of getting eagles in different quantities, given the number of coins would be:
a) Probability of getting two eagles: 3 / 8b) Probability of getting at least one eagle: 7 / 8c) Probability of no eagle: 1 / 8How to find the probabilities ?There are 8 possible outcomes when tossing 3 coins: HHH, HHT, HTH, THH, TTH, THT, HTT, TTT.
The probability of getting 2 eagles is 3/8 because the ways of getting eagles HHH, HHT, and HTH.
The probability of getting at least 1 eagle is 7 / 8. There are 7 ways to get at least 1 eagle: HHH, HHT, HTH, THH, TTH, THT, and HTT.
The probability of getting no eagles is 1/8 / . There is only 1 way to get no eagles: TTT.
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Use the bar graph to find the experimental probability of the event.
A bar graph, titled Spinning a spinner. Horizontal axis shows number spun. Vertical axis shows times spun. The first bar is labeled 1. It ends at 8. The second bar is labeled 2. It ends at 6. The third bar is labeled 3. It ends at 9. The fourth bar is labeled 4. It ends at 11. The fifth bar is labeled 5. It ends at 9. The sixth bar is labeled 6. It ends at 7.
The experimental probability of not spinning a 1 is
The experimental probability of not spinning a 1 is 21/25.
To find the experimental probability of not spinning a 1, we need to calculate the ratio of the total number of times a number other than 1 was spun to the total number of spins.
From the bar graph, we can see that the number 1 was spun 8 times. Therefore, the total number of spins is the sum of the frequencies for all the bars:
8 + 6 + 9 + 11 + 9 + 7 = 50.
To find the total number of times a number other than 1 was spun, we need to subtract the frequency of 1 from the total number of spins: 50 - 8 = 42.
The experimental probability of not spinning a 1 is given by:
Probability(not spinning a 1) = (Number of times not spinning a 1) / (Total number of spins)
Probability(not spinning a 1) = 42 / 50
Simplifying the fraction, we get:
Probability(not spinning a 1) = 21 / 25
Therefore, the experimental probability of not spinning a 1 is 21/25.
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Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x = 36.1°
Step-by-step explanation:
In the Right-angled triangle, opposite side of angle x and adjacent side of angle x is given, and we have to find the angle x. To find angle x, we can use the trigonometry ratio 'tan x'.
[tex]\sf Tan \ x = \dfrac{opposite \ side \ of \ \angle X}{adjacent \ side \ of \ \angle x}[/tex]
[tex]\sf = \dfrac{22}{30}\\\\ = 0.73[/tex]
[tex]x = arctan \ (0.73)[/tex]
= 36.13
x = 36.1°
Use the following information to determine tan(2x). tan(x) = -2÷square root of 2 and sin(x) is negative
Answer:
tan(2x) = 2√2
Step-by-step explanation:
You want tan(2x) when tan(x) is -2/√2 and x is a 4th-quadrant angle.
Double angleThe tangent double-angle identity is ...
tan(2x) = 2tan(x)/(1 -tan(x)²)
For tan(x) = -2/√2, this gives ...
tan(2x) = 2(-2/√2)/(1 -(-2/√2)²) = -2√2/(1 -2)
tan(2x) = 2√2
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PLEASE HELP
A right cylinder has a diagonal length of 37 and a total surface area of 492π.
What is the height of the cylinder?
a.35
b.42
c.25
d.17
e.32
The height of the cylinder is 25.
Option C is the correct answer.
We have,
To find the height of the right cylinder, we need to use the given information of the diagonal length and the total surface area.
The diagonal length of a right cylinder can be found using the formula:
diagonal = √(height² + radius²)
Given that the diagonal length is 37, we can set up the equation:
37 = √(height² + radius²)
We also know that the total surface area of a right cylinder is given by:
surface area = 2πrh + 2πr²
Given that the total surface area is 492π, we can set up the equation:
492π = 2πrh + 2πr²
Simplifying the surface area equation, we have:
246 = rh + r²
Now we have a system of equations:
37 = √(height² + radius²)
246 = rh + r²
Since we only need to find the height of the cylinder, we can focus on the first equation:
37 = √(height² + radius²)
Squaring both sides of the equation, we get:
37² = height² + radius²
1369 = height² + radius²
Substituting the second equation (246 = rh + r²) into the equation above, we have:
1369 = height² + (246 - rh)
Simplifying further, we get:
1369 = height² + 246 - rh
Now, let's analyze the answer options:
a. 35
b. 42
c. 25
d. 17
e. 32
We need to substitute each value into the equation and check if it satisfies the equation.
After checking each option, we find that the height that satisfies the equation is:
c. 25
Therefore,
The height of the cylinder is 25.
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Graph the relation shown in the table. Is the relation a function? Why or why not?
x:y
-1:3
-1:2
0:-4
4:2
No; a horizontal line passes through two graphed points.
Yes; no vertical line passes through two graphed points.
No; a vertical line passes through two graphed points.
Yes; no horizontal line passes through two graphed points.
The graph of this relation is four points on the coordinate plane (see attached diagram).
Hence option D is true.
Since we know that,
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
And a function is a special relation,
where each input x has a single output y.
This relation is not a function, because for one x (x=-1),
Here are two different possible y (y=3 or y=2).
If you consider the graph, you can see that there will be vertical line passing through the points (-1,3) and (-1,2).
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find the ordered pair
The ordered pair that is a solution of the system is (-3, -3), the second option.
Which ordered pair is a solution of the system of inequalities?There are two ways of finding this.
You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.
Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.
Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).
We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)
So that point is the solution.
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can someone explain how to do this please?
Answer: 97 degrees
Step-by-step explanation: 180-83=97
solve each compound inequality. -28 < -4r < 16
The solution to the compound inequality -28 < -4r < 16 is 7 > r > -4
How to determine the solution to the compound inequalityfrom the question, we have the following parameters that can be used in our computation:
-28 < -4r < 16
Divide through the inequality by -4
so, we have the following representation
-28/-4 < -4r/-4 < 16/-4
When the quotients are evaluated, we have
7 > r > -4
Hence, the solution to the compound inequality is 7 > r > -4
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A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
The area of the shaded region is equal to 45 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of rectangle = 8 × 6
Area of rectangle = 48 square units.
Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;
L₁ = 8 - 5 = 3 units.
L₂ = 6 - 4 = 2 units.
Area of right triangle = 1/2 × 3 × 2
Area of right triangle = 3 square units.
For the area of the shaded region, we have:
Area of the shaded region = 48 square units - 3 square units.
Area of the shaded region = 45 square units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
PLEASE HELP I REALLY NEED TO ANSWER THIS
Answer:
b=76* (because different angles)
Answer:
76
Step-by-step explanation
*shows a flat angle (180 degrees)
180 - 104 = 76
Cite at least 3
situations in your community where you can apply hypothesis testing. Then, just
choose one situation and:
1. Create a problem statement;
2. Formulate the null and alternative hypothesis;
3. Select the level of significance and sketch the rejection region; and
4. State the possible Type I and Type II errors.
In my community, there are several situations where hypothesis testing can be applied. Here are three examples: Traffic Flow Optimization, Recycling Program Assessment, and Crime Prevention Strategy Evaluation
What inform the selected situation?For the purpose of this response, let's choose Situation 1 (Traffic Flow Optimization) and go through the four steps.
1. Problem Statement: The local authorities want to determine if implementing a new traffic signal timing system will significantly reduce the average travel time for commuters passing through a busy intersection during peak hours.
2. Null Hypothesis (H0): The new traffic signal timing system has no effect on the average travel time for commuters passing through the intersection.
Alternative Hypothesis (H1): The new traffic signal timing system significantly reduces the average travel time for commuters passing through the intersection.
3. Level of Significance: α = 0.05
4. Rejection Region: The rejection region will depend on the specific test statistic used. Let's assume we are using a t-test to compare the mean travel time before and after implementing the new traffic signal timing system. In this case, we would calculate the t-statistic and determine the critical value(s) based on the degrees of freedom and the chosen level of significance. The rejection region would be in the tails of the t-distribution corresponding to the critical value(s).
Possible Type I Error: Rejecting the null hypothesis when it is actually true, indicating that the new traffic signal timing system is effective when it is not. In this case, it would mean concluding that the new system significantly reduces travel time when, in reality, it has no effect.
Possible Type II Error: Failing to reject the null hypothesis when it is actually false, indicating that the new traffic signal timing system is ineffective when it is actually effective. In this case, it would mean not detecting a significant reduction in travel time when the new system does indeed have a positive impact.
It's worthy of note that the specific test statistic and rejection region may vary depending on the nature of the data and the chosen statistical test. The above steps provide a general framework for conducting hypothesis testing in the given situation.
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Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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The Tenorio Dairy makes cheese to supply to stores in its area. The dairy can make 250 pounds of cheese per day, and the demand at area stores is 180 pounds per day. Each time the dairy makes cheese, it costs $125 to set up the production process. The annual cost of carrying a pound cheese in a refrigerated storage area is $12. Determine the optimal size and the total annual inventory cost.
Answer:
The optimal size of each production run is 180 pounds, and the total annual inventory cost is $832,825.
Step-by-step explanation:
To determine the optimal size and total annual inventory cost, we need to consider the production capacity, demand, setup costs, and carrying costs.
Given:
Production capacity per day = 250 pounds
Demand per day = 180 pounds
Setup cost = $125
Carrying cost per pound per year = $12
First, let's calculate the optimal production size. We want to produce enough cheese to meet the demand without exceeding the production capacity.
Optimal production size per day = Minimum(Production capacity, Demand)
Optimal production size per day = Minimum(250 pounds, 180 pounds) = 180 pounds
Next, let's calculate the total annual inventory cost. This cost includes both the setup cost and the carrying cost.
Total annual inventory cost = (Setup cost * Number of setups per year) + (Carrying cost per pound * Optimal production size * Number of days in a year)
Number of setups per year = Number of production runs per year
Number of production runs per year = Total days in a year / Days per production run
Assuming a year has 365 days and each production run takes one day:
Number of production runs per year = 365 days / 1 day = 365 runs
Total annual inventory cost = ($125 * 365) + ($12 * 180 pounds * 365)
Total annual inventory cost = $45,625 + $787,200
Total annual inventory cost = $832,825
i need help with the attached questions. thank you
Yes, because it is practical to obtain that many aspirin because the number is relatively small. The correct option is B.
The minimum sample size required to be 99% confident that the sample standard deviation (s) is within 10% of the population standard deviation (σ) is 336, according to the table provided.
This means that in order to have a high level of confidence (99%) that the sample standard deviation is within a reasonable range of the population standard deviation, a minimum sample size of 336 is needed.
In this case, the sample size requirement is met with a relatively small number, 336, compared to the larger values provided in the table for higher levels of confidence.
Therefore, it can be considered practical to obtain that many aspirin tablets for the purposes of this study.
Thus, the correct option is B.
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Which statement correctly compares the centers of the distributions? A. The median of Southview HS is greater than the median of East Hills HS B. The mean of Southview HS is greater than the mean of East Hills HS C.The range of East Hills HS is greater than the range of Southview HS D. The Mean of East Hills HS is greater than the Mean of South view HS
The statement that correctly compares the centers of the distributions is this:
D. The mean of East Hills HS is greater than the mean of Southview HS.
Since, The statement that correctly describes the centers of the distributions is option D. To find out, we will calculate the mean of the two distributions as follows:
For East Hills HS
25 * 1 + 29 * 1 + 31 * 2 + 33 * 4 + 35 * 5 + 37 * 8 + 39 * 4
= 875
And, Frequency = 1 + 1 + 2 + 4 + 5 + 8 + 4 = 25
Hence,
Mean = 875/25
Mean = 35
For Southview
25 * 2 + 27 * 6 + 29 * 9 + 31 * 6 + 33 * 2
= 725
Frequency = 2 + 6 + 9 + 6 + 2 =25
Hence, Mean = 29
So, from our calculation, the mean of East Hills HS is greater than the mean of Southview HS.
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Which of the following describes the probability distribution below?
(X)xd
oo
02
07
0.6
05
04
0.3
02
01
0
Probability Distribution
O The mean is greater than the median, and the majority of the data points are to the left of the mean.
The mean is greater than the median, and the majority of the data points are to the right of the mean.
The median is greater than the mean, and the majority of the data points are to the left of the mean.
O The median is greater than the mean, and the majority of the data points are to the right of the mean.
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Correct answer is,
The mean is greater than the median, and the majority of the data points are to the left of the mean.
Since, The probability depicts the intended benefits of all possible values for just a specific data-generation procedure. This is a list of all of the possible values of random variables, along with the probability for each one of them.
We could see that the curve is tilted to the right by drawing a normal distribution bell curve.
This has a right tail, which implies it has a tail. This indicates that there are few points to the right of the mean.
A majority of the pieces of data are about the left of the mean, as stated.
The bulk of data are to the right, the median will be from the left of the mean, indicating that the median is less than the mean.
Hence, As just a result, the mean exceeds the median.
Therefore, the answer is "third choice".
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Pleaseeeeeeeee helpppp meeeeeee
Vector g is from the red jet ski to the green boat. The magnitude is √26 and the direction angle is 248.7°, the component form of vector g is approximately (-3.8, -1.4).
To write the component form of vector g, we need to determine the horizontal and vertical components of the vector.
Given:
Magnitude of g = √26
Direction angle = 248.7°
To find the horizontal component (g_x) and vertical component (g_y) of vector g, we can use the following trigonometric formulas:
g_x = magnitude * cos(angle)
g_y = magnitude * sin(angle)
Substituting the given values:
g_x = √26 * cos(248.7°)
g_y = √26 * sin(248.7°)
Now, let's calculate the values:
g_x = √26 * cos(248.7°) ≈ -3.8
g_y = √26 * sin(248.7°) ≈ -1.4
Therefore, the component form of vector g is approximately (-3.8, -1.4).
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