The observed numbers of days on which accidents occurred in a factory on three successive shifts over a total of 300 days are as shown below. Your boss wants to know if there is a systematic difference in safety that is explained by the different shifts. (20 pts) an Days with Days without an Total Shift Accident Accident Morning 4 96 100 Swing Shift 8 92 100 Night Shift 90 100 Total 22 278 300 a. What are the null and alternative hypotheses you are testing? 10 b. Determine the appropriate test statistic for these hypotheses, and state its assumptions. c. Perform the appropriate test and determine the appropriate conclusion.
Answers
The question examines the difference in safety among three shifts in a factory based on the observed accident counts. It asks for the null and alternative hypotheses, the appropriate test statistic, and the conclusion.
a. The null hypothesis (H₀) would state that there is no systematic difference in safety among the shifts, meaning the accident rates are equal. The alternative hypothesis (H₁) would suggest that there is a significant difference in safety among the shifts, indicating unequal accident rates.
b. To test the hypotheses, a chi-square test for independence would be appropriate. The test statistic is the chi-square statistic (χ²), which measures the deviation between the observed and expected frequencies under the assumption of independence. The assumptions for this test include having independent observations, random sampling, and an expected frequency of at least 5 in each cell.
c. By performing the chi-square test on the observed data, comparing it to the expected frequencies, and calculating the chi-square statistic, we can determine if there is a significant difference in safety among the shifts. Based on the calculated chi-square statistic and its corresponding p-value, we can make a conclusion. If the p-value is below the chosen significance level (e.g., α = 0.05), we reject the null hypothesis and conclude that there is a significant difference in safety among the shifts. If the p-value is above the significance level, we fail to reject the null hypothesis, indicating insufficient evidence to conclude a significant difference in safety among the shifts.
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Related Questions
Which of the following is the solution to the equation 4 over 5n = 20?
n = 4
n = 12
n = 16
n = 25
Answers
Answer:
It is 25
Step-by-step explanation:
If the equation is 4/5 x n = 20, you will find the answer by dividing because its the opposite of multiplication.
\(20/\frac{4}{5} = 20x5/4=\\24\)
The answer is 25
I hope this helps :3
Guys I really need help!
The general equation for the geometric sequence -1, -2, -4, ... is a n = -1 · 2 n - 1 .
TrueFalse
Answers
Answer: false
Step-by-step explanation:
Answer:
Yes absolutely true i took the lesson
Step-by-step explanation:
Suppose a monopolist has the following cost function C(Q) = ¼ Q2 (with marginal cost
MC(Q) = ½ Q). Suppose they face demand is P = 100 – ¼ Q.
a. Sketch the market demand, marginal costs, and marginal revenues.
b. What is the monopolist’s optimal level of output and profits?
c. Confirm that demand is elastic at the optimal output.
d. Calculate the firm’s markup.
e. What is the DWL associated with the monopoly output?
f. Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?
g. Does the DWL fall or rise?
Answers
The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.
The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.
The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.
After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.
Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.
Sketch the market demand, marginal costs, and marginal revenues.
Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.
Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.
The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.
Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.
Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.
The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.
Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .
What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.
The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.
At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.
Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.
The subsidy reduces the marginal cost to (1/2) Q - $10.
Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.
Therefore, the deadweight loss falls.
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There are 15 year 12 pupils in a football club, out of a total of 46 pupils. write this proportion as a percentage. give your answer correct to 1 decimal place when appropriate.
Answers
In the football club, the percentage of 15-year 12 pupils out of 46 pupils is equal to 30%.
The proportion can be found by dividing the number of 15-year pupils by the total number of pupils. Therefore;
number of 15-year pupils / total number of pupils = 12 / 46 = 0.260
Rounding it to one decimal;
0.260 = 0.3
Percentage in mathematics can be defined as a number or a rate in each hundred. A decimal value can be converted into a percentage by multiplying the decimal value by 100.
0.3 × 100 = 30%
Therefore, the proportion of the 15-year pupils in the football club is 12/46 and this proportion can be written in percentage as 30%.
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How many powers of 7 are contained in 10?
Answers
There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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Please answer this as soon as possible.
kim has a garden which is 9 feet long and 20 feet wide. she wants to put a border around the garden which is the same width all around. what is the expression for the perimeter of the outside edge of the border?
A) 4x+58
B) 2x+29
C) 4x^2+58x+180
D) x^2 +29x+180
Answers
The proceeds from a car wash are directly proportional to the number of cars washed. The total after 9 cars was $180. How much can be raised if 60 cars
are washed?
60 cars washed?
Answers
Answer:
$1200
Step-by-step explanation:
180 divided by 9 is 20, so they earned $20 per car washed. They want to wash 60 cars, and if they wash 60 cars they would earn $1200. (60 x 20)
Answer:
$1200
Step-by-step explanation:
Our revenue is directly proportional to the number of cars. That means our revenue is increasing at a constant rate, and thus, we are getting the same amount of money per car. That means we can find out how much we get from washing 1 car.
\(\frac{180}{9} = 20\)
$20 per car.
If we washed 60 cars, we'd earn 60 * $20:
\(60*20 = 1200\)
Answer: $1200
Two tour groups are visiting an aquarium. There are 20 children in one group and 22 children in the other. Along with the 2 group leaders, there are 5 additional adults between the two groups. If the cost per child is $9.00 and the total for both groups is $490, what is the cost per adult?
Answers
Answer:
The cost per adult is $16.
Step-by-step explanation:
Given that:
Total number of children = 20+22 = 42 children
Total number of adults = 2 + 5 = 7 adults
Total cost for both groups = $490
Cost per child = $9.00
Cost of children ticket = 9.00*42 = $378
Cost of adult tickets = 490-378 = $112
This is the cost for 7 adult tickets.
Cost per ticket = \(\frac{112}{7}\) = $16
Hence,
The cost per adult is $16.
Ryan has 3 1/2 pints of milk. He uses 1 1/2 cups of milk to make Recipe A and 1 1/2
cups of milk to make Recipe B.
Answers
Answer: He will have ½ pints of milk left
Step-by-step explanation: 1½ + 1½ =3
3½-3=½
5. Which statement is true about △ABC
and △XYZ?
The triangles are similar but not congruent because dilating △ABC
by a scale factor of 13
and rotating the figure 90∘
clockwise about the origin maps △ABC
to △XYZ
using similarity transformations.
The triangles are similar but not congruent because dilating △ABC
by a scale factor of 1 third and rotating the figure 90 degrees clockwise about the origin maps △ABC
to △XYZ
using similarity transformations.
The triangles are congruent but not similar because dilating △ABC
by a scale factor of 13
and rotating the figure 90∘
clockwise about the origin maps △ABC
to △XYZ
using similarity transformations.
The triangles are congruent but not similar because dilating △ABC
by a scale factor of 1 third and rotating the figure 90 degrees clockwise about the origin maps △ABC
to △XYZ
using similarity transformations.
The triangles are similar and congruent because dilating △ABC
by a scale factor of 13
and rotating the figure 90∘
clockwise about the origin maps △ABC
to △XYZ
using similarity transformations.
The triangles are similar and congruent because dilating △ABC
by a scale factor of 1 third and rotating the figure 90 degrees clockwise about the origin maps △ABC
to △XYZ
using similarity transformations.
The triangles are neither similar nor congruent because a dilation is a similarity transformation but not a rigid transformation, and a rotation is a rigid transformation but not a similarity transformation.
Answers
The statement that is true about the triangles is this: The triangles are similar but not congruent because dilating △ABC by a scale factor of 13 and rotating the figure 90∘ clockwise about the origin maps △ABC to △XYZ using similarity transformations.
What is the true statement?The statement that is true of the triangles is that they have a similar shape but they are not congruent. Their shapes are similar as we can clearly see that they both have the same three sides that are typical of triangles.
However, they lack congruency because they do not have the same size. A characteristic of congruent triangles is that their sizes are the same. This is not true of the triangles.
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Write each vector as a linear combination of the vectors in \( S \). (Use \( s_{1} \) and \( s_{2} \), respectively, for the vectors in the set. If not possible, enter IMPOSSIBLE.) \( S=\{(1,2,-2),(2,
Answers
Given set of vectors is S = {(1, 2, -2), (2, -1, 3)}. We are supposed to write each vector as a linear combination of the vectors in S.
Now, let's consider vector (1, -1, 7), we have to represent this vector as a linear combination of vectors in S.
Now, let's suppose it can be represented as (1, -1, 7) = a(1, 2, -2) + b(2, -1, 3) for some scalars a and b.So, (1, -1, 7) = a(1, 2, -2) + b(2, -1, 3)
⇒ 1 = a(1) + b(2) --------------- Equation (1)
⇒ -1 = a(2) - b(1) --------------- Equation (2)
⇒ 7 = -2a + 3b --------------- Equation (3)
Solving these equations for a and b, we geta = 3,
b = -2.
So, (1, -1, 7) can be represented as (1, -1, 7) = 3(1, 2, -2) - 2(2, -1, 3).
Thus, the required representation of (1, -1, 7) as a linear combination of the vectors in S is (1, -1, 7) = 3(1, 2, -2) - 2(2, -1, 3).
Therefore, the correct option is A.
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Which statement can john use this figure to prove?
Answers
Answer:
Can you post a picture of the figure?
Find the volume of the solid whose base is the semicircle y=√(121−x2) where −11≤x≤11 and the cross sections perpendicular to the x-axis are squares.
(Use symbolic notation and fractions where needed.)
=
Answers
The volume of the solid is 10648 cubic units. The volume of the solid can be found by integrating the areas of the square cross sections along the x-axis.
The first step is to determine the side length of each square cross section. Since the cross sections are perpendicular to the x-axis, the side length will be equal to the height of the semicircle at each corresponding x-coordinate.
The equation of the semicircle is y = √(121 - x²), and it is given that -11 ≤ x ≤ 11. We can substitute this equation into the formula for the side length of the square cross section: side length = 2√(121 - x²).
To find the volume, we need to integrate the areas of the square cross sections. The integral setup is as follows:
Volume = ∫[from -11 to 11] (side length)² dx
= ∫[from -11 to 11] (2√(121 - x²))² dx
= 4 ∫[from -11 to 11] (121 - x²) dx.
To solve this integral, we expand and simplify the expression within the integral:
Volume = 4 ∫[from -11 to 11] (121 - x²) dx
= 4 ∫[from -11 to 11] (121 dx - x²dx)
= 4 [121x - (x³)/3] | [from -11 to 11]
= 4 [121(11) - (11³)/3 - 121(-11) + (-11³)/3]
= 4 [1331 - 1331/3 + 1331 + 1331/3]
= 4 [2(1331)]
= 4 [2662]
= 10648.
Therefore, the volume of the solid is 10648 cubic units.
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A juice factory begins production at 8:00 a.m. A worker is asked to check the total number of bottles capped before going to lunch. At 12:00 p.m., 1600 bottles of juice had been capped. He checks the number of bottles capped a second time halfway between the beginning of his lunch break and the end of his day. In total, 3600 bottles of juice were capped by the time the factory closed at 5:00 p.m.
• What time did the worker check the second time?
• How many bottles had been capped at that time?
Answers
The production start time = 8:00am (8 hours of the day)
Lunch time = 12:00pm ( 12 hours of the day)
Factory closing time = 5:00pm ( 17 hours of the day)
The difference between the lunch time and closing time= 17 - 12
= 5 hours.
He checks the number of bottles capped a second time halfway between the beginning of his lunch break and the end of his day =12 + \(\frac{5}{2}\)
= 12 + 2.5 hours
= 14.5 hours
= 2: 30pm
From production start time to lunch time = 12 - 8
= 4 hours
Therefore, in 4 hours 1600 bottels were capped
1 hour = \(\frac{1600}{4}\)
= 400 bottles
Therefore the number of bottles that would be capped when the worker checked the second time should be = start time to lunch time + halfway between the beginning of his lunch break and the end of his day × 400 bottles.
= (4 + 2.5) × 400
= 1600 + 1000
=2600 bottles
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Jus
t be. FOREVER
my fri
end
Answers
Answer:
thank u for points
stay safe happy and healthy..Answer:
okay sure lol
Step-by-step explanation:
pls help me
which table shows a relationship that is directly proportional?
a b c d?
Answers
Answer:
A is the answer because...
Step-by-step explanation:
Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.
Hope you understand! :)
Pls help me
This was my 6th question
It is really hard
Answers
It’s 6x-4y=40
Answer:
it's c
Step-by-step explanation:
What does PIN stand for?
a. Principal Investment Number
b. Permission Initiating Number
c. Percent Increase Number
d. Personal Identification Number
Answers
Answer:
D
Step-by-step explanation:
PIN stands for Personal Identification Number. Option d is correct.
What is a Personal Identification Number.?An alphanumeric or numeric string called a personal identification number (PIN) is used to verify a person's identity in a system.
Automated Teller Machines (ATM) for a bank, are the primary use cases for PINs (ATM). PINs are frequently used in place of more complex passwords to unlock mobile devices and authenticate users to applications.
Along with the development of the ATM, PINs were invented in the UK. In 1967, Barclays debuted ATMs as a convenient way for consumers to obtain cash. They also introduced ATM check deposits, which made use of codes printed on checks to help correctly account for such transactions.
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plz answer all corectly will mark brainlest plz answer within 1 hour
the last one is to reward you for your help
Answers
Answer:
for the first one I got y=-2x-2 the second part i got y=-x-1 or -1x-y-1=0 Correct me if I am wrong
Step-by-step explanation:
Use the slope formula
-4-4 =-8
/ =-2
1 - -3=4
2. The second part use this formula y-y1=m(x-x1)
y--4=-1(x-3)
y+4=-x+3
-4 -4
y+0=-x-1
y=-x-1 or -1x-y-1=0 I am not sure
6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz
Answers
Answer:
a) What is d?
b) 52fl.oz
When a sphere is moved about its center it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position. Prove using something related to orthogonal properties.
Answers
To prove that when a sphere is moved about its center, it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position using orthogonal properties, follow these steps:
1. Consider a sphere with center O and any diameter AB.
2. When the sphere is moved about its center, the center O remains fixed.
3. Rotate the sphere such that diameter AB is now in a new position A'B'.
4. Since the sphere has been rotated about its center, the orthogonal properties are preserved. This means that the planes that are perpendicular to the diameter at the center O remain unchanged.
5. The orthogonal planes to diameter AB intersect at the center O and form a fixed line in space.
6. Now, rotate the sphere again, such that diameter A'B' returns to its initial position as AB. This rotation is possible because the orthogonal planes and their intersection (the fixed line) are preserved.
7. Since diameter A'B' has returned to the initial position of AB, it proves that it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position.
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25 POINTS ANSWER FOR BRAINLIST!
Answers
The true statements about Initial Me and Monogram Mania are,
The two companies will cost the same if 130 T-shirts are purchased.
Initial Me charges $8 per T-shirt printed.
Monogram Mania charges less per T-shirt printed than Initial Me charges.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
By observing the graph we conclude the two companies will cost the same if 130 T-shirts are purchased as their individual graphs intersect each other.
The initial fee charged by Initial Me is $50 as the graph of Initial me is at $50 when the number of T-shirts purchased is zero.
Pratik should choose Initial Me for purchasing upto 130 T-Shirts after that
Monogram Mania cost less.
Initial me charges $8 per T-Shirt as the initial fee and the cost of 5 T-shirts is $90 of which $50 is the initial fee, Therefore $(90 - 50) = $40.
The cost of 10 T-shirts at Monogram Mania is $5 so it does cost less than Initial me.
The initial fee charged by Monogram Mania is $50.
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Which figure represents an undefined term?
Answers
Answer:
I think the answer is D
Step-by-step explanation:
The last figure is representing an undefined term "line".
What is Ray?A ray is a segment of a line where one point is fixed and the other has no defined end. It denotes that a ray has one terminating end and an indefinitely long other end.
The first illustration depicts a ray with an end point at X, which is a phrase that is described as "a ray is a line with one end point."
The second graphic depicts a line segment with endpoints at X and Y. This phrase is described as "A line segment is a line with 2 end points."
The joint of two rays in the third illustration creates an angle, which is once again a defined phrase.
The final illustration depicts a line that is not defined and has no endpoints.
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f(x)=4x^2+5x-3
g(x)=4x^3-3x^2+5
Find (f-g)(x)
Answers
Answer:
For me the answer was (f+g)(x)=4x^3+x^2+5x+2
Step-by-step explanation:
A function assigns the values. The value of the (f-g)(x) is 4x³ + x² +2 is 4x³ + x² + 5x + 2.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that f(x)=4x²+5x-3 and g(x)=4x³-3x²+5, therefore, the value of the (f-g)(x) can be written as,
(f-g)(x) = f(x) - g(x)
= 4x² + 5x - 3 + 4x³ - 3x² + 5
= 4x³ + 4x² - 3x² + 5x + 5 - 3
= 4x³ + x² +2
Hence, The value of the (f-g)(x) is 4x³ + x² +2 is 4x³ + x² + 5x + 2.
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16 points helllppppppppppppppp
Answers
PLEASE HELP ME WITH THESE TWO QUESTIONS ITS DUE IN FEW MINS
Answers
apparently my answer contains inappropriate words so here's a picture
Which equation represents a proportional relationship?
OA. y = 4x
OB. y=3x2
OC. y = 5x+2
OD. y = 7
Answers
A is the equation representing proportional relationship .
What is proportional relationship ?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.
CalculationIf the y intercept is anything but 0, then the linear function is not proportional. So C is not proportional (2 is the y intercept)
B is a quadratic and it will not give proportional results. y/x is not a constant.
D has no x value and is not going to give a proportional result. y/x is undefined.
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In selling an antique vase for 80 a dealer made a profit of 60%of the cost price what was the cost price
Answers
Answer:
Step-by-step explanation:
cost price x .60 = 80
80/.60 = 133.33 was the cost price
Jim works in real estate sales. His annual salary is $20,000 plus 2.5% of his home sales. What was the total value of all homes he sold if his annual pay for the year was $120,000?
Answers
Answer:
$40,000
Step-by-step explanation:
2.5x+20,000=120,000
120,000-20,000=100,000
100,000/2.5=40,000
the law of diminishing marginal product helps to explain why supply curves are generally upward sloping.
true or false
Answers
The given statement, "The law of diminishing marginal product helps to explain why supply curves are generally upward sloping," is false (F) because it suppose to be the law of supply, not the law of diminishing.
The statement is indeed false because it confuses the law of diminishing marginal returns with the law of supply. The law of diminishing marginal returns states that as more units of a variable input are added to a fixed input, the marginal product of the variable input will eventually decrease. This law is important in production theory but has no direct relationship with the shape of supply curves.
On the other hand, the law of supply states that as the price of a good or service increases, the quantity supplied by producers will also increase. This is due to the fact that producers are willing to produce more at higher prices in order to maximize their profits.
Therefore, the upward slope of supply curves is a result of the law of supply, not the law of diminishing marginal returns.
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