Answer:
34 and 6 =40
Step-by-step explanation:
40 divided by 2=20 20-14=6 14+20=34
the rectangular garden shown has a width of 50 feet and a length of 45 feet and is surrounded by a paved path with a uniform width of x feet. if the combined area of the garden and the paved path is 2646 square feet, what is the value of x ?
Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.
The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,
we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.
Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet
Paved path:
If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.
Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50
The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet
= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675
We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646
= 64x² + 760x + 675 - 264664x² + 760x - 1971
= 0(8x - 27) (8x + 73) = 0
The value of x cannot be negative,
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A rectangle has a fun property. The value of its perimeter is equal to the value of its area. The rectangle has a length of 2x feet and a width of 3 feet. 1. Write the equation perimeter equals to the area. 2. Solve for 'x' 3. Write both the value of the perimeter and the value of the area.
Answer:
1) [tex]6\cdot x = 4\cdot x+6[/tex], 2) The value of [tex]x[/tex] is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Step-by-step explanation:
Let be a rectangle with a length of [tex]2\cdot x[/tex] feet and a width of 3 feet. The area ([tex]A[/tex]), measured in square feet, and perimeter ([tex]p[/tex]), measured in feet, formulas are, respectively:
[tex]A = (2\cdot x)\cdot (3)[/tex]
[tex]A = 6\cdot x[/tex] (Eq. 1)
[tex]p = 4\cdot x + 6[/tex] (Eq. 2)
1) Now, we assume that [tex]p = A[/tex], then we reduce the system of linear equation into a sole linear equation:
[tex]6\cdot x = 4\cdot x+6[/tex] (Eq. 3)
2) We proceed to solve for [tex]x[/tex]:
[tex]2\cdot x = 6[/tex]
[tex]x = 3[/tex]
The value of [tex]x[/tex] is 3.
3) Lastly, we obtain the values of the perimeter and area:
[tex]A = 6\cdot (3)[/tex]
[tex]A = 18\,ft^{2}[/tex]
[tex]p = 4\cdot (3)+6[/tex]
[tex]p = 18\,ft[/tex]
The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Consider the following extensive-form game: Player 1 moves in odd periods and player 2 moves in even periods. The game lasts for maximally T periods. In each period t≤T there is a surplus S=2−
t
1
. Whenever a player moves she can either Stop or Continue. A player who chooses Stop ends the game and receives the entire surplus S; the other player receives 0 . If all player always choose Continue, they both receive a payoff of 2 . (a) Draw the game tree. (b) For any given T, how many strategies does each player have? (c) For every finite T describe all subgame-perfect equilibria. (d) For every finite T describe all Nash equilibria. (e) If T is infinite, describe all pure-strategy subgame-perfect equilibria. (f) Optional - food for thought: If T is infinite, describe all subgame-perfect equilibria. (g) What does this game tell you about the difference between using subgame-perfection and backward induction to solve extensive form games?
(a) The game tree for the given extensive-form game is as follows:
```
/ \
C/ \S
/ \
C/ \C
/ \ / \
C/ \S C/ \S
/ \ / \
C C C C
```
In each period, Player 1 has the choice to either Continue (C) or Stop (S). Player 2, in the even periods, also has the choice to either Continue or Stop. The payoffs are indicated at the terminal nodes of the game tree.
(b) For any given T, each player has 2^T strategies. This is because in each period, a player has two choices: Continue or Stop.
Since the game lasts for maximally T periods, there are T decision points for each player, resulting in 2^T possible strategies for each player.
(c) In every finite T, there are multiple subgame-perfect equilibria. A subgame-perfect equilibrium requires that players' strategies are optimal not only at the initial stage but also at every subgame.
In this game, for any finite T, the subgame-perfect equilibrium is for both players to always choose Continue until the final period T and then choose Stop to receive the surplus S. This ensures that players receive a payoff of 2 in every period until T and then receive the surplus S at the end.
(d) In every finite T, there are also multiple Nash equilibria. A Nash equilibrium requires that no player can unilaterally deviate and improve their payoff.
In this game, the Nash equilibrium is for both players to always choose Continue in every period. If either player deviates and chooses Stop, they will receive 0 payoff instead of 2.
(e) If T is infinite, there are no pure-strategy subgame-perfect equilibria. This is because if the game continues indefinitely, there is no final period at which players can choose to Stop and receive the surplus S.
Therefore, there are no pure-strategy subgame-perfect equilibria in an infinite game.
(f) If T is infinite, there are also no subgame-perfect equilibria. Since the game does not have a final period, players cannot reach a point where they can optimize their payoffs by choosing to Stop and receive the surplus S.
As a result, subgame-perfect equilibria do not exist in an infinite game.
(g) This game highlights the difference between using subgame-perfection and backward induction to solve extensive-form games. While backward induction requires considering each subgame and making optimal choices at each stage, subgame-perfection focuses on ensuring that players' strategies are optimal not only at the initial stage but also at every subgame.
In this game, subgame-perfection yields a different equilibrium outcome than backward induction. While backward induction suggests that players should choose Stop in the final period, subgame-perfection dictates that players should always choose Continue until the end. Therefore, the concept of subgame-perfection allows for more flexibility and considers the optimal strategies in each subgame, even in the absence of a final period.
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Problem 7-12 How many work cycles should be timed to estimate the average cycle time to within 2 percent of the sample mean with a confidence of 99 percent if a pilot study yielded these times (minutes): 5.2, 55, 6.3, 5.3, 5.5, and 5.1? The standard deviation is 431 minutes per cycle. (Use the "mean time" value to 2 decimal places and other values to 3 decimal places for intermediate calculations. Round up your final answer to the next whole number.) 4.34 points Skipped References
The number of work cycles that should be timed to estimate the average cycle time to within 2 percent of the sample mean with a confidence of 99 percent is 14.
We can use the following formula to calculate the sample size:
n = z^2 * σ^2 / E^2
where:
n is the sample sizez is the z-score for the desired confidence level (z = 2.576 for a confidence level of 99%)σ is the standard deviation (σ = 0.431 minutes per cycle)E is the margin of error (E = 0.02 * mean = 0.01 minutes per cycle)Plugging in these values, we get: n = 2.576^2 * 0.431^2 / 0.01^2 = 14.04
We round up the answer to the next whole number, so we need to time 14 work cycles.
The z-score is a number that tells us how far away from the mean we need to be in order to be confident that our estimate is accurate within a certain margin of error.
In this case, we want to be 99% confident that our estimate is accurate within 2% of the mean. The z-score for a confidence level of 99% is 2.576.
The standard deviation is a measure of how spread out the data is. In this case, the standard deviation is 0.431 minutes per cycle.
The margin of error is the amount of error we are willing to tolerate in our estimate. In this case, we want our estimate to be accurate within 2% of the mean, so our margin of error is 0.02 minutes per cycle.
The sample size is the number of work cycles that we need to time in order to be confident that our estimate is accurate within a certain margin of error.
The formula above tells us that the sample size is inversely proportional to the square of the margin of error. This means that if we want to reduce the margin of error, we need to increase the sample size.
In this case, we want to reduce the margin of error to 2%, which means we need to increase the sample size to 14.
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Which expression is equivalent to (b + 0.22b - 0.23b)
A. (B - 0.01)
B. (1 - 0.01b)
C. (-.55b)
D. (.99b)
What is the minimum number of pieces of information you think you would need in order to prove that a given quadrilateral is a square? When you answer this question, post your answer along with theorems, postulates, or definitions that support your answer. Come to a conclusion as a group about what the minimum number is, as well as if there is more than one way to prove a quadrilateral is a square using that minimum number of pieces of information.
Answer:
At least 4 numbers of information is needed
The four are highlighted below in the explanation section
Step-by-step explanation:
1. Given that the shape has four right angles and that all its sides are congruent then it's a quadrilateral
2. If two sides are consecutively congruent it is a quadrilateral shape
3. If a rhombus contains a right angle, then it’s a square shaped rhombus
4. If a quadrilateral is both a rectangle and a rhombus, then it’s a square
Mrs.Garcia has two kinds of flowers in her garden. the ratio of lilies to daisies in the garden is 3:2. If there are 15 lilies, what is the total number of flowers in her garden?
Answer:
25 flowers are present in the garden
Step-by-step explanation:
we can solve this problem is by divide 15 by 3 since we know the ratio is 3:2. 15 divided by 3 is 5, so we then multiply 2 by 5 to get the answer of 10 daisies in the garden. Then we simply add the flowers together to get 25! Hope this helps you!
which of the following equations produces a direct variation?
I. f(x) = xyz
II. f(x) = x3
III. f(x) = 3x
a. III only b. I only c. I and II only d. II only
The following equations produces a direct variation : III.) f(x) = 3x. Hence, option a) III. only is the correct answer.
If f(x) varies directly with x, then it can be represented by the equation f(x) = kx, where k is a constant of proportionality. Therefore, to determine if an equation represents a direct variation, you need to determine if it can be written in this form of kx.
Now, let's examine each of them: I. f(x) = xyz: This equation is not in the form of kx. It has three variables: x, y, and z. Since we don't know how each variable relates to one another, we can't determine if it represents a direct variation.
II. f(x) = x³: This equation is not in the form of kx either. It has a variable x, but it's cubed. This means that f(x) does not vary directly with x.
III. f(x) = 3x: This equation can be written in the form of kx. If k = 3, then the equation becomes f(x) = 3x. This shows that f(x) varies directly with x.
Therefore, the correct answer is III only.
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Which segment is not skew to segment EK?
Answer:
segment CI
Step-by-step explanation:
its the correct answer on the test
What is the image point of (5, 1) after a translation right 5 units and down 2 units?
YOU GET 43 POINTS
A fruit juice company includes 1.854 ounces of orange juice in a 6.25-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT orange juice?
__?__ ounces
Answer:
4.396 ounces
Step-by-step explanation:
Please mark me brainliest :)
Answer:
4.396
Step-by-step explanation:
Subtract em.
50 POINTS!!!!!!!!
ANSWER PLEASE
Answer:
3
15
Step-by-step explanation:
15 is the number that forms the ratio 3/7 of 35
follow the column up until the row 3
Answer:
3 and 15
Step-by-step explanation:
I hope this helps (✿◡‿◡)
Which equation best represents the following: In a class of 46 students, there are 10 more girls than boys?
Let boys =b
and girls =g
First,
46-10 = 36
36 /2 =18
therefore, 18g and 18b but there are 10 more girls than boys
so for g,
= 18 +10
= 28g
so .. the equation is:
28g + 18b = 46
Consider three pallet locations A, B, and C, for which the travel time from the receiving area to the storage area is 1, 2, and 2 minutes, respectively. Two skus move through these locations, x and y, which must be managed strictly through a PEPS policy. Every three days a pallet of SKU "x" is dispatched in the morning and a pallet is received in the afternoon and stored. Every two days a pallet of SKU "y" is dispatched in the morning and a pallet is received in the afternoon and stored. You maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times.
a. If you are using a static storage policy, what is the allocation of SKUs to storage locations that minimizes labor? Justify your answer. What is the average number of minutes per day spent moving these products?
b. What is the lowest value of average minutes per day used to move these SKUs if you adopt a heap policy? Does it make a difference where I place the SKUs initially?
A. The average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.
B. The lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.
a. Static Storage Policy:
To minimize labor, we can allocate the SKUs to storage locations based on their respective travel times from the receiving area to the storage area. In this case, the travel times are 1 minute for location A, 2 minutes for location B, and 2 minutes for location C.
Given that we maintain a constant inventory of one pallet of SKU x and two pallets of SKU y at all times, we can allocate them as follows:
SKU x: Allocate it to the storage location with the shortest travel time, which is location A (1 minute).
SKU y: Allocate both pallets to the storage location with the next shortest travel time, which is location B or C (both have a travel time of 2 minutes).
By allocating SKU x to location A and both pallets of SKU y to either location B or C, we ensure that the SKUs are stored in the closest available locations, minimizing the travel time needed to move them.
The average number of minutes per day spent moving these products can be calculated by considering the dispatch and receiving schedule:
SKU x: Dispatched every three days. Assuming it takes 1 minute to move a pallet from storage to the receiving area, the average daily movement time for SKU x would be (1/3) minutes per day.
SKU y: Dispatched every two days. Assuming it takes 2 minutes to move a pallet from storage to the receiving area, the average daily movement time for SKU y would be (2/2) minutes per day.
Adding up the average daily movement times for SKU x and SKU y, we get:
Average daily movement time = (1/3) + (2/2) = 1.33 minutes per day.
Therefore, the average number of minutes per day spent moving these products using the static storage policy is 1.33 minutes.
b. Heap Policy:
The heap policy involves storing the most frequently dispatched SKU closest to the receiving area. In this case, SKU y is dispatched every two days, while SKU x is dispatched every three days.
To find the lowest value of average minutes per day used to move these SKUs with the heap policy, we need to consider the different initial placements of the SKUs.
Scenario 1: Initial Placement - Location A for SKU x and Location B for SKU y
SKU x: Travel time from storage to the receiving area = 1 minute
SKU y: Travel time from storage to the receiving area = 2 minutes
Average daily movement time:
SKU x: (1/3) minutes per day
SKU y: (2/2) minutes per day
Total average daily movement time = (1/3) + (2/2) = 1.33 minutes per day
Scenario 2: Initial Placement - Location A for SKU y and Location B for SKU x
SKU y: Travel time from storage to the receiving area = 1 minute
SKU x: Travel time from storage to the receiving area = 2 minutes
Average daily movement time:
SKU y: (1/2) minutes per day
SKU x: (2/3) minutes per day
Total average daily movement time = (1/2) + (2/3) ≈ 1.17 minutes per day
Therefore, the lowest value of average minutes per day used to move these SKUs with the heap policy is approximately 1.17 minutes per day. The initial placement of the SKUs does make a difference in determining the lowest average movement time, as shown by the difference between Scenario 1 and Scenario 2.
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In the country of Mordor, Y=A∗
∗∗
L
. In the first year, Y=18 and K=4 and L=9 In the second year, Y=26 and K=4 and L=16 What percent of this growth came from higher productivity? Careful: don't calculate the percent that came from inputs, you have to do an extra step once you've done that. If you think the answer was 31%, write 31 , not 31%. If you think the answer is zero, write 0 , not 0.
Approximately 114.29% of the growth came from higher productivity.
To determine the percent of growth that came from higher productivity, we need to compare the change in output (Y) with the change in inputs (K and L). Here's how we can calculate it:
In the first year:
Initial output (Y₁) = 18
Initial inputs (K₁, L₁) = (4, 9)
In the second year:
Final output (Y₂) = 26
Final inputs (K₂, L₂) = (4, 16)
Change in output = Y₂ - Y₁ = 26 - 18 = 8
Change in inputs = (K₂ + L₂) - (K₁ + L₁) = (4 + 16) - (4 + 9) = 7
Now, let's calculate the percent of growth that came from higher productivity:
Percent of growth from higher productivity = (Change in output / Change in inputs) * 100
= (8 / 7) * 100 ≈ 114.29
Therefore, approximately 114.29% of the growth came from higher productivity.
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In The Country Of Mordor, Y = AVK* VL . In the first year, Y=18 and K=4 and L=9 In the second year, Y=26 and K=4 and L=16 What percent of this growth came from higher productivity? Careful: don't calculate the percent that came from inputs, you have to do an extra step once you've done that. If you think the answer was 31%, write 31 , not 31%. If you think the answer is zero, write 0 , not 0.
help me with this please
Convert 2 + 3/8 to an improper fraction:
2 + 3/8 = 16/8 + 3/8 = (16 + 3)/8 = 19/8
Then
5 / (2 + 3/8) = 5 / (19/8) = 5 • (8/19) = 40/19
If you want to convert this to a mixed fraction, then
40/19 = (38 + 2)/19 = 38/19 + 2/19 = 2 + 2/19
Mooberry Creamery uses 2 cups of ice cream in each milkshake. How many milkshakes can they make with 1 gallon of ice cream?
Answer:
8 milkshakes
Step-by-step explanation:
16 cups in a gallon. 2 cups per milkshake. 8 milkshakes is the answer
Answer:
8 milkshakes
Step-by-step explanation:
one us gallon holds 16 cups so if you divided 16 by 2 then you get 8
What is a y-coordinate
Answer:
A y coordinate is the vertical (upwards) of a graph there is the x and y coordinate x is is horizontal (left to right)
Step-by-step explanation:
Calculation: According to Fedex’s 2017 annual report, the operating revenue in 2017 was $60,319 million while its operating expenses were $55,282 million. Calculate the operating ratio of Fedex in 2017 (show your work).
The operating ratio of FedEx in 2017 was approximately 91.64%.
To calculate the operating ratio of FedEx in 2017, we need to divide the operating expenses by the operating revenue and then multiply the result by 100 to express it as a percentage.
Operating Ratio = (Operating Expenses / Operating Revenue) * 100
Given:
Operating Revenue = $60,319 million
Operating Expenses = $55,282 million
Calculating the operating ratio:
Operating Ratio = (55,282 / 60,319) * 100
Operating Ratio ≈ 91.64%
Therefore, the operating ratio of FedEx in 2017 was approximately 91.64%.
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If P'(-1,-3) is obtained by a 180ºccw rotation about the origin what are the coordinates of P?
A cable 90.6 meters long is cut into two pieces so that one piece is 37.2 meters longer than the other. Find the length of each piece of cable.
Answer:
53.4
Step-by-step explanation:
It said cut that means subtraction also in different length. So you subtract 90.6-37.2=53.4
Answer:
26.7 meters and 63.9 meters
Step-by-step explanation:
37.2 + 2x = 90.6
-37.2 -37.2
2x = 53.4
53.4 ÷ 2 = 26.7 meters
26.7 + 37.2 = 63.9 meters
63.9 + 26.7 = 90.6 meters
Hope that helps.
is this a linear or a non linear
Answer:
No idea
Step-by-step explanation:
If their was an image, or a chart, then we could tell, but there is none.
4.5 times 6-12 divided by 3
Answer:5
Step-by-step explanation:
23 is the answer for this question
Question 3: (5+2+5 Marks) Let S = 1) Show that Sis linearly independent. -{[H 3 H] ii) Deduce that S is a basis for M22. iii) Express A as a linear combination of the vectors in S and find (A)s, where A = 24 -15)
We are given a set of vectors S and we need to determine whether S is linearly independent. The vectors in S are given as {[1, 2], [3, 4], [1, 5]}. We also need to deduce if S forms a basis for the vector space M22. Additionally, we are asked to express the matrix A as a linear combination of the vectors in S and find the coordinates of A with respect to the basis S.
To show that the set S is linearly independent, we need to check if there exist any scalars (c₁, c₂, c₃) such that c₁[1, 2] + c₂[3, 4] + c₃[1, 5] = [0, 0]. Setting up the system of equations, we have:
c₁ + 3c₂ + c₃ = 0
2c₁ + 4c₂ + 5c₃ = 0
By solving this system of equations, we can find the values of c₁, c₂, and c₃. If the only solution is c₁ = c₂ = c₃ = 0, then the set S is linearly independent.
If S is linearly independent and contains three vectors in the vector space M22 (2x2 matrices), then it forms a basis for M22. This is because a basis for a vector space must be linearly independent and span the entire space.
To express the matrix A as a linear combination of the vectors in S, we set up the equation A = c₁[1, 2] + c₂[3, 4] + c₃[1, 5] and solve for the coefficients c₁, c₂, and c₃. Once we have the coefficients, (A)s represents the coordinates of A with respect to the basis S.
In conclusion, we determine the linear independence of S by solving the system of equations. If S is linearly independent, it forms a basis for M22. We can express matrix A as a linear combination of the vectors in S and find the coordinates of A with respect to the basis S by solving the corresponding system of equations.
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Parallelogram K is decomposed to determine the area.
PLEASE HELP
Which picture represents the correct way to decompose parallelogram K to determine the area?
what's the function for this table? :(
Answer:
f(x)=5x-2
Hope this helped :)
Step-by-step explanation:
Rate of change formula (y2-y1/x2-x1)
3-(-2)=5
1-0=0
5/0=5
=5x
The y-intercept is -2
True or False: The dependent variable should be graphed on the x-axis. plzzzzzzzzzzzzzzzzzzzzzz help asap first to answer gets brainliest
Answer:
true
Step-by-step explanation:
Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. u = 66 and o = 12; n = 25 Answer Tab
When the population mean is 66, the population standard deviation is 12, and the sample size is 25, the standard deviation of the sampling distribution of sample means is calculated to be 2.4.
To find the standard deviation of the sampling distribution of sample means, we can use the formula σ/√n, where σ is the population standard deviation and n is the sample size. Given the information that the population mean (μ) is 66 and the population standard deviation (σ) is 12, and the sample size (n) is 25, we can calculate the standard deviation of the sampling distribution as follows:
Standard deviation of the sampling distribution = σ/√n = 12/√25 = 12/5 = 2.4
Therefore, the standard deviation of the sampling distribution of sample means is 2.4, rounded to one decimal place.
when the population mean is 66, the population standard deviation is 12, and the sample size is 25, the standard deviation of the sampling distribution of sample means is calculated to be 2.4. This value represents the average amount of variation or dispersion expected among the sample means when repeatedly drawing samples of size 25 from the given population.
The standard deviation of the sampling distribution provides an indication of the precision or accuracy of the sample means in estimating the population mean. Smaller standard deviations indicate less variability and higher precision in the estimates.
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Miguel babysits for 3 hours and earns $15. Which represents the unit rate?
A. $1 per 5 hours
B. $15 per hour
C. 1 hour per $5
D. $5 per hour
The temperature of a city was 28⁰C on Tuesday. The temperature rose by 1.5⁰C on everyday upto Friday and fell by 2.5⁰C on Saturday. What was the temperature of the city on Saturday
Answer: 30 degrees
Step-by-step explanation:
1.5 x 3 (days until friday from tuesday) = 4.5
28 + 4.5 = 32.5
32.5 - 2.5 = 30 degrees
Answer:
30 degree C check it once.......
