The depth of the river is 3.192 feet.
How to illustrate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.
Since last year the depth of the river was 4.2 feet deep and year it dropped 24%. The depth will be:
= 4.2 - (24% × 4.2)
= 4.2 - 1.008
= 3.192 feet
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Blue Skies Inc. is a retail gardening company that is piloting a new strategic initiative aimed at increasing gross profit. Currently, the company’s gross profit is 25% of sales, and its target gross profit percentage is 30%. The company’s current monthly sales revenue is $600,000. The new initiative being piloted is to produce goods in-house instead of buying them from wholesale suppliers. Its in-house production process has two procedures. The makeup of the costs of production for Procedure 1 is 40% direct labor, 45% direct materials, and 15% overhead. The makeup of the costs of production for Procedure 2 is 60% direct labor, 30% direct materials, and 10% overhead. Assume that Procedure 1 costs twice as much as Procedure 2.
The Cost make up of procedure 1 is $280000.
Cost make up of procedure 2 is 140000
What is the cost make up?The cost makeup will be calculated thus:
Cost make up of procedure 1
Labour (40%) 112000
Materials (45%) 126000
Overhead (15%) 42000
Total =[280000
Cost make up of procedure 2
Labour ( 60%) 84000
Materials (30%) 42000
Over head (10%) 14000
Total 140000
Working note:
Sales $600000
Less: Gross profit (sale *30%) $ 180000
COGS $420000
Procedure 1 ( COGS *2/3) $ 280000
Procedure 2 (COGS * 1/3) $ 140000
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Complete question
Blue Skies Inc. is a retail gardening company that is piloting a new strategic initiative aimed at increasing gross profit. Currently, the company’s gross profit is 25% of sales, and its target gross profit percentage is 30%. The company’s current monthly sales revenue is $600,000. The new initiative being piloted is to produce goods in-house instead of buying them from wholesale suppliers. Its in-house production process has two procedures. The makeup of the costs of production for Procedure 1 is 40% direct labor, 45% direct materials, and 15% overhead. The makeup of the costs of production for Procedure 2 is 60% direct labor, 30% direct materials, and 10% overhead. Assume that Procedure 1 costs twice as much as Procedure 2.
Determine what the cost of labor, materials, and overhead for both Procedures 1 and 2 would need to be for the company to meet its target gross profit.
Use the given values of n and p to find the minimum usual value u - 20 and the maximum usual value u + 20. Round your answer to the nearest hundredth unless otherwise noted. n = 108 p = 0.24
The minimum usual value, μ-2σ is 17.8 and the maximum usual value, μ+2σ is 54.04
How to find the minimum and maximum usual values?From the information, n = 108, p = 0.24
minimum usual value μ-2σ
maximum usual value μ+2σ
Find the mean, μ:
μ = np = 108 × 0.24 = 35.92
Find the variance, n(1-p):
n(1-p) = 108 ×( 1-0.24) = 82.08
Find the standard deviation, σ:
σ = √82.08 = 9.06
minimum usual value, μ-2σ:
μ-2σ = 35.92 - (2×9.06) = 17.8
maximum usual value, μ+2σ:
μ+2σ = 35.92 + (2×9.06) = 54.04
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For the following pair of lines, Identify the system by type.
consistent
inconsistent
equivalent
Both lines are not connecting each other. So there is no solution. So the pair of lines, identify the system of inconsistent.
In the given question, we have to check the following pair of lines, Identify the system by type.
(a) consistent
(b) inconsistent
(c) equivalent
As we know that;
A system is consistent if it has at least one solution. A consistent system is dependent if there are an endless number of possible solutions. Both equations show the same line on a graph when you plot the equations.
A inconsistent system has no solution. There is no solution because the graphs of the lines do not connect, making the graphs parallel.
Even if the vertices of two graphs differ or are rearranged, we will pronounce them equivalent if they have the same edge structure.
As we can see that in the graph that both lines are not connecting each other. So there is no solution. So the pair of lines, identify the system of inconsistent.
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-28 = -4x
What value of x makes this equation true?
A -7
B 24
C-32
D 7
Next, you select the basic statistics that can help your team better understand the ratings system in your data. Assume the first part of your code is: trimmed_flavors_df %>% You want to use the summarize() and mean() functions to find the mean rating for your data. Add the code chunk that lets you find the mean value for the variable Rating.
Based on the rating system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.
To determine the mean value for the variable Rating, you must add the code chunk summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of the code:
You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().
In this instance, you compute the mean value for the variable Rating using the mean() function.
The average score is 3.185933.
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what is the slope linear relationship (1,3) and (-2,-1)
The slope linear relationship (1,3) and (-2,-1) is 4/3.
What is line?
A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
Find the line y=m x+b passing through (1,3),(-2,-1).
Compute the slope [tex]$(1,3),(-2,-1): \quad m=\frac{4}{3}$[/tex]
Compute the y intercept: [tex]$\quad b=\frac{5}{3}$[/tex]
Construct the line equation [tex]$\mathbf{y}=\mathbf{m} x+b$[/tex] where [tex]$m=\frac{4}{3}$[/tex]and [tex]$b=\frac{5}{3}$[/tex]
[tex]y=\frac{4}{3} x+\frac{5}{3}$$[/tex].
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A tablet that regularly sells for $330 was
on sale for 15% off. If Jeremiah paid
$302.94 total including tax, what is the N
sales tax rate?
Answer:
The sales tax rate is 7.96%.
Step-by-step explanation:
To determine the sales tax rate, we need to first calculate the amount of the discount on the tablet by multiplying the regular price by the discount percentage:
Discount = Regular price * Discount percentage
Discount = $330 * 15%
Discount = $49.50
Next, we can calculate the total price of the tablet before taxes by subtracting the discount from the regular price:
Total price before taxes = Regular price - Discount
Total price before taxes = $330 - $49.50
Total price before taxes = $280.50
Finally, we can calculate the sales tax rate by dividing the total amount of taxes paid by the total price of the tablet before taxes and multiplying by 100% to express the result as a percentage:
Sales tax rate = (Total amount of taxes paid / Total price before taxes) * 100%
Sales tax rate = ($302.94 - $280.50) / $280.50 * 100%
Sales tax rate = $22.44 / $280.50 * 100%
Sales tax rate = 7.96%
Therefore, the sales tax rate is 7.96%.
Hope one of y’all help me with this question.. because i was struggling!!
Please and thank you.
a) The value in four years is 2,207,626
b) The growth rate percent is 102.5 %
c) It would attain the value in 11 years.
What is a function?We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n
Let us recall that n has to do with the number of years.
a) In four years, the value of the car would be;
V = 2000000(1.025)^4
V = 2,207,626
b) The growth rate percent of the function can be obtained as;
1.025 * 100 = 102.5 %
c) To obtain the year in which the value of the car would reach 2624173.32, we have;
2624173.32 = 2000000(1.025)^n
2624173.32/2000000 = (1.025)^n
1.312 = (1.025)^n
ln1.312 = n ln (1.025)
n = ln1.312 /ln (1.025)
n = 0.272/0.025
n = 11
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Match each data set with its range.
The range of the data set are
{10.2, 3.8, 21.9, 33.4, 31.8, 17.2} = 29.6
{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71} = 0.6
{6, 2, 14, 11, 28, 10, 19, 15, 11} = 26
The first data set is
{10.2, 3.8, 21.9, 33.4, 31.8, 17.2}
The range is the difference between the highest value and the smallest value
The highest value = 33.4
Lowest value = 3.8
The range = 33.4 - 3.8
= 29.6
The second data set is
{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71}
The highest value = 0.71
Lowest value = 0.11
The range = 0.71 - 0.11
= 0.6
The third data set is
{6, 2, 14, 11, 28, 10, 19, 15, 11}
Highest value = 28
Lowest value = 2
The range = 28 - 2
= 26
Therefore, the range of the each data set has been found
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______ is thermal energy that is transferred from something at a higher temperature to something at a lower temperature.
a.Heat b.State c.Plasma d.Charge
Answer: Heat
Step-by-step explanation:
Heat is thermal energy that flows from something at a higher temperature to something at a lower temperature.
Answer:
it is heat
A
Step-by-step explanation:
among all option it is only heat that is a thermal energy
HEAT is thermal energy that is transferred from something at a higher temperature to something at a lower temperature
ADDITIONAL INFORMATIONS
state means the particular condition that someone or something is in at a specific time.
plasma means the colourless fluid part of blood, lymph, or milk, in which corpuscles or fat globules are suspended.
charge means is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.
PLS RATE ASBRAINLIEST
Write a function in the form
y = mx + b.
Answer:
y=3/4x-2
Step-by-step explanation:
assume victoria's indifference curves are bowed outward but her indifference curves satisfy the other three properties of indifference curves. as victoria moves from right to left along the horizontal axis, her marginal rate of substitution
The marginal rate of substitution (MRS) is a measure of how much of one good an individual is willing to give up in exchange for another good. In other words, it represents the slope of the indifference curve at a given point.
If Victoria's indifference curves are bowed outward, it means that as she moves from right to left along the horizontal axis, the MRS will decrease. This is because as she consumes more of one good, she becomes less willing to give up units of the other good in exchange. The MRS will continue to decrease until it reaches its minimum value at the point where the indifference curve is tangent to the budget line.
It's important to note that the MRS will only decrease if Victoria's indifference curves satisfy the other three properties of indifference curves:
Higher indifference curves represent a higher level of utility.Indifference curves do not intersect.Indifference curves are downward sloping.If Victoria's indifference curves do not satisfy these properties, it is not possible to accurately determine the behavior of her MRS as she moves from right to left along the horizontal axis.
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6 Question 5 (5 points) Two masses, m and M. are placed along x-axis at a and b, respectively. Find the center of mass for the system (x, y). 9 (a+b)/2,0 12 0. (a+b)/2 15 O (am+bM)/2,0 (am+bM)/(m+M), O 18 O, (am+bM)/(m+M)
The center of mass for the system (x, y) is [tex]\left(\frac{a m+b M}{m+M}, 0\right)[/tex].
What is center of mass?
The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.
The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.
Centre of mass is
[tex]x=\frac{m a+M b}{m+M}[/tex]
and y=0
[tex](x, y)=\left(\frac{a m+b M}{m+M}, 0\right)[/tex]
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A local theatre sells out for their show. They sell all 500 tickets for a total purse of $7,860.00. The tickets were priced at $15 for students, $12 for children, and $18 for adults. If the band sold three times as many adult tickets as children's tickets, how many of each type were sold?
The number of each type of tickets sold are;
180 adults tickets
260 students tickets
60 children tickets
How to solve simultaneous equation word problems?
Let us solve to get the solution using 3 variables.
Let c be the number of children's tickets
Let s be the number of student tickets
Let a be the number of adult tickets
We are told that the total number of tickets was 500
Thus;
a + s + c = 500 ------(1)
The number of adult tickets was 3 times the number of children's tickets. Thus;
a = 3c ------(2)
The total cost of the tickets was $8070. Thus;
18a + 15s + 12c = 7860 ----(3)
We conclude that solving these three equations simultaneously gives us;
a = 180 adults
s = 260 students
c = 60 children
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Given m
|| n, find the value of x and y.
(8x+1)°
Z
(4y+3)
(9x-16)°
m
72
Use photo for better explanation PLEASE HELP
Answer:
(x, y) = (17, 10)
Step-by-step explanation:
You want the values of x and y given three angles written in terms of x and y at a transversal crossing parallel lines.
Corresponding anglesAngles at lower right of the points of intersection are corresponding angles, and are congruent:
(9x -16)° = (8x +1)°
x = 17 . . . . . . . . . . . . . divide by °, add 16-8x
Linear pairThe marked angles at the bottom form a linear pair, so are supplementary.
(4y +3)° = 180° -(9x -16)°
4y +3 = 180 -9(17) +16 = 43 . . . . . . use 17 for x and simplify
4y = 40 . . . . . . subtract 3
y = 10 . . . . . . divide by 4
Simplify each algebraic expression by combining like terms.
2x+ (9+x) -6
Answer:
3x +3
Step-by-step explanation:
You want to simplify 2x+ (9+x) -6.
Like termsLike terms have the same constellation of variables. Here, there are terms containing x, and terms not containing x.
2x+ (9+x) -6 = (2 +1)x +(9 -6) = 3x +3
The simplified expression is 3x +3.
Answer:3x+3
Step-by-step explanation:
First we remove the parenthesis because they are not needed in an addition problem to make it 2x+9+x-6
Then we sort and combine like terms, [2x+x]+[9-6]
After that, you add the coefficients of the the first term, which makes 3x and subtract 6 from 9 to get 3
This then leads you to 3x+3
a textbook store sold a combined total of 366 psychology and history textbooks in a week. The number of history textbooks sold was 40 less than the number of psychology textbooks sold. how many textbooks of each type were sold?
Answer:
Step-by-step explanation:
We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers
Rewrite
17/5
as a mixed number.
3. suppose that a particular nfl team claims that the mean weight of their defensive players is 315 pounds. a rivaling team thinks that the mean weight of the defensive players on that team is different from 315 pounds they claim. suppose they sample 15 of the defensive players and find the players to have a mean weight of 300 pounds with sample standard deviation 8 pounds. set up an appropriate hypothesis test and make conclusions at significance level 0.08. assume weights are normally distributed.
The appropriate hypothesis test results that it reject the null hypothesis and accept the alternative hypothesis. The z score of -7.26 is in the rejection area
How to calculate hypothesis test?
The general form to calculate the hypothesis is by using the sample data and assuming the null hypothesis is true, calculate the value of the test statistic.
Here the hypothesis test for the population mean μ, we use the t-statistic t = x − (μ*s) / n
where the t-distribution with n - 1 degrees of freedom.
Here we have given that suppose that a particular NFL team claims that the mean weight of their defensive players is 315 pounds.
And we need to find appropriate hypothesis test and make conclusions at significance level 0.08 and here we have to assume weights are normally distributed.
While we looking into the given question, we have identified that weights are normally distributed.
Then the value of the given data are written as
data = 315 ,
n= 15 ,
Mean = 300,
standard deviation = 8,
Significance level= 0.08
Then the hypothesis is written as,
The critical value (cutoff point) is 1.761.
Where in left-tail hypothesis testing, any z score less than the critical value will be rejected. Since -7.26 is less than 1.761, we reject the null hypothesis. We accept the alternative hypothesis
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Which inequality matches the graph?
is this right?
Answer:
Your Answer is A.
Step-by-step explanation:
First look at the inequality graph.
We can note that its a variable is greater than 2. (p >2)
Then looking at our options.
Option A can be.
Option B can't be it since its greater than or equal to.
Option C can be.
Option D can't be since dividing or multiplying by a negative switches the signs greater than to less than or vice versa.
Leaving only option A or C.
Solve A and C.
Option A5p + 4 > 14
5p > 10
p > 2
Option C.5p - 4 > 14
5p > 18
p > 18/5
How do you know that segment AD is congruent to segment BC ? Lesson (2-1)
Two line segments are said to be congruent if, regardless of their orientation or position, their lengths are the same.
What are congruent Triangles ?If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent.
What are Two congruent Sides ?Two sides that are the same length make up an isosceles triangle .In addition, it contains two equal-sized angles located across from the two sides of equal length. A triangle with three identical sides is called an equilateral triangle.
So
According to the given information
Segment AD = Segment BC
Two line segments are said to be congruent if, regardless of their orientation or position, their lengths are the same.
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Diane has quarters, dimes, and
pennies in her pocket. The value of her
money is $1.55. There are 4 more
dimes than quarters and the number of
pennies equals the sum of the number
of quarters and dimes.
How many pennies does Diane have?
Answer: The solution here is found by establishing a system of linear equations.
A system of equations with x unknowns can be evaluated for an exact solution if the system has x equations.
Within the question, we are asked to discover the values of two different unknowns - dimes and nickels.
Therefore, we'll need two equations to obtain an exact solution, both of these will come directly from the problem itself.
Let d represent the number of dimes Diane has and let n represent the number of nickels.
Equation 1
We know from the given information that the total number of coins (both dimes and nickels) is equal to 19.
Subsequently, we can generate the equation d + n = 19.
Equation 2
We know that the individual value of a dime is $0.10 or 0.1 dollars, therefore the total value of the dimes is equal to the individual value of a dime multiplied by the total number of dimes.
The resultant expression for the total value of the dimes is (0.1)*d
We know that the individual value of a nickel is $0.05 or 0.05 dollars, therefore the total value of the nickels is equal to the individual value of a nickel multiplied by the total number of nickels.
The resultant expression for the total value of the nickels is (0.05)*n
We know that Diane only has dimes and nickels, and the total value of all her coins must be equal to the total value of the dimes plus the total value of the nickels. This value is given within the problem to be $1.55 or 1.55 dollars.
Subsequently, our second equation within the system is (0.1)*d + (0.05)*n = 1.55.
Now, we can solve the system of equations using whichever means is most convenient. For this example, I will solve the system by substitution
First, solve for one of the variables —> Equation 1 —> d + n = 19 —> d = 19 - n
Second, substitute the value of d into Equation 2 —> (0.1)*(19 - n) + (0.05)*n = 1.55
Recall that 0.1 = 1/10 and 0.05 = 1/20
Equation 2 —> (1/10)*19 - (1/10)*n + (1/20)*n = (31/20) —> (19/10) - (n/10) + (n/20) = (31/20)
Find the least common denominator of all fractions in the equation (20 in this case), convert the fractions to have like denominators, and solve.
(19/10)*(2/2) - (n/10)*(2/2) + (n/20) = (31/20) —> (38/20) - (2n/20) + (n/20) = (31/20) —> (38/20) - (n/20) = (31/20) —> (n/20) =(38/20) - (31/20) =(7/20) —>n = 7
Substitute solution into Equation 1 to solve for d
d + 7 = 19 —> d = 12
q+4+q + 10q+40 + 25q = 155
37q + 44 = 155
37q = 111
q = 3 (# of quarters)
d = q+4 = 7 (# of dimes)
p = d+q = 7+3 = 10 (# of pennies)
Step-by-step explanation:
a stack of books is 61 inches high. how high is it in feet and inchess
Answer: 5.08333 repeating three
Find the equation of a line that passes through the points (-4,-3) and (4,-1)
Answer:
y=x/4 - 2
Step-by-step explanation:
First, find the slope:
m=(y2-y1)/(x2-x1) ==> slope formula where m=slope
(x1, y1), (x2, y2) ==> (x1=-4, y1=-3) and (x2=4, y2=-1)
Now plug in known values back into the slope formula:
m=(-1-(-3))/(4-(-4))
m=(-1+3)/(4+4)
m=2/8 ==> simplify
m=1/4
y=mx+b ==> slope-intercept equaiton form
-1=(1/4)(4)+b ==> plug in the slope, m=1/4, and a known coordinate: (4,-1)
-1=1+b ==> simplify
-1-1=1-1+b ==> solve for b
b=-2
y=(1/4)x+(-2) ==> plug in b=-2 and m=1/4 back into y=mx+b
y=x/4 - 2
Perform the following mathematical operation and report the answer to the appropriate number of significant figures.
We know the least precise place value is in the 10's place.
67.4 +43 +30 + 42.10 = [?]
it's not 182.5 / 137.9 / 182
Answer:
200
Step-by-step explanation:
The sum is 182.5, which is 200 to 1 significant figure.
Refer to Exhibit 1-3. According to the data provided in this table, what is the approximate slope of the line between points A and B, if these data were graphed with X on the horizontal axis and Y on the vertical axis?
-0.29
The slope of the line between points A and B based on data provided in the table is -0.29. (Option A)
The slope of the line refers to is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
From the table point A is (5, 18) and B is (12, 16).
The formula of the slope = Δy/ Δx = (y2 – y1)/(x2 – x1)
Hence the slope of line between points A and B is
Slope = (16 – 18)/(12 – 5) = -2/7 = -0.29
Note: The question is incomplete as it is missing options which are A) -0.29 B) -3.5 C) 0.29 D) 3.50 E) -1.00
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Chung read 5/8 of a book one day and 1/5 of the book less than this the next day. What fraction of the book did Chung read on the second day? Did he finish the book in two days?
The fraction of the book chung read on the second day is 17/40 and No, he didn't finish the book in two days
What are fractions?fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. In proper fractions the denominator is greater than the numerator but in improper, the denominator is lesser than the numerator.
Chung read 5/8 of a book
let's represents the volume pages of the book by x
therefore chung read 5/8 × x = 5x/8
on the second day, he read 1/5 less of the previous day = 5x/8-1/5x = 17x/40 i.e he read 17/40 of the book on the second day
the volume of pages left = x - (17×/40+5×/8)
x-22x/40
the fraction of remaining page left = (40-22)x/40
= 28x/40
divide through by 4
7/10 of x
therefore 7/10 of the book is still left to be read. This means chung didn't finish reading the book on the second day.
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How much do you have after investing $1000 at 9% compounded continuously for 2 years and nine months
Answer:
$1,127.49
Step-by-step explanation:
Compound interest formulas
Hence, if a two-year savings account containing $1,000 pays a 9% interest rate compounded daily, it will grow to $1,127.49 at the end of two years
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Simplifying assumptions identified for the use of cost behavior pattern data include:a) linearity and relevant range.b) fixed range and variability.c) fixed activity and linearity.d) relevant range and liquidity.
linearity and relevant range include the use of cost behavior pattern data.
what is linearity?the existence of a chain of thoughts or actions wherein one directly follows another: True autobiographies rarely have a linear structure. We don't have a linear existence. Constantly thrown off balance is the narrative's traditional linearity.
what is relevant range?The accounting phrase "relevant range" refers to the production or activity parameters that a company must adhere to in order to keep its fixed costs constant. Fixed costs in accounting are constant and unaffected by particular production rates.
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Question 1. An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had in the previous year. The results are shown below. Over Age of 18: n1 = 500 Number of accidents = 180 Under Age of 18: n2 = 600 Number of accidents = 150 We are interested in determining if the accident proportions differ between the two age groups. Let pu represent the proportion under and po the proportion over the age of 18. The null hypothesis is Pu-Po = 0 Pu-P. £0 Pu-P.10 Pu - P. 30 Question 2. Refer to Question 1. What is the value of the pooled proportion? Round your answer to three decimal places.
Question 3. Refer to Questions 1 and 2. Determine the value of the standard error of the difference in the proportions. Round your answer to four decimal places.
The pooled proportion is 0.200 and the standard error of the difference in the proportions is 0.0201.
1. The null hypothesis is Pu-Po = 0, which means that the proportion of people under 18 who had accidents is the same as the proportion of people over 18 who had accidents.
2. To calculate the pooled proportion, we first add the total number of people in each group (500 + 600 = 1100). Then we add the total number of accidents in each group (180 + 150 = 330). Finally, we divide the total number of accidents by the total number of people to get the pooled proportion (330/1100 = 0.200).
3. The standard error of the difference in the proportions can be calculated using the formula SE = SQRT(P1*(1-P1)/n1 + P2*(1-P2)/n2), where P1 is the proportion of people under 18 who had accidents, P2 is the proportion of people over 18 who had accidents, and n1 and n2 are the number of people in each group. In this case, P1 = 150/600 = 0.250, P2 = 180/500 = 0.360, n1 = 600, and n2 = 500. Plugging these values into the formula gives us SE = SQRT(0.250*(1-0.250)/600 + 0.360*(1-0.360)/500) = 0.0201.
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