Answers
Answer:
Answer is 20
Step-by-step explanation:
When two lines intersect each other as a result of that, every opposite angles are equal
so,
6x+20 = 140
6x = 120
x = 120/6
x = 20
Answer:
x = 20
Step-by-step explanation:
Vertically opposite are equal
therefore
6x + 20 = 140
6x = 140-20
6x = 120
6x/6 = 120/6
x = 20
Related Questions
What is the standard deviation of a normal distribution?
Answers
Answer:
1
Step-by-step explanation:
You want the standard deviation of a normal distribution.
Normal distributionThe "standard normal distribution" is defined to have a mean of 0 and a standard deviation of 1.
__
Additional comment
The standard distribution is often shifted and scaled to have some other particular mean and standard deviation. The computation of a "Z-score" is a way to relate a value in the scaled distribution back to the characteristics of the standard normal distribution. The Z-score is the number of standard deviations a value is from the mean.
The managing director of a consulting group has the following monthly data on total overhead costs and professional labor hours to bill to clients.
Overhead Costs: $365,000 ,$400,000,$430,000,$477,000,$560,000, $587,000
Billable Hours :3000 4000 5000 6000 7000 8000
1)Develop a trend line to identify the relationship between billable hours and the overhead costs.
2)Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm?
3)If a special job requiring 1,000 billable hours that would contribute a margin of $38,000 before overhead was available, would the job be attractive?
Answers
1) To develop a trend line, we will perform a linear regression analysis to find the relationship between billable hours and overhead costs. Here's a step-by-step explanation:
Step 1: List the data in two columns, with billable hours (x) and overhead costs (y).
Step 2: Calculate the sum of x, sum of y, sum of xy, sum of x^2, and sum of y^2.
Step 3: Use the following formulas to calculate the slope (b) and the y-intercept (a) of the trend line:
b = (n * sum of xy - sum of x * sum of y) / (n * sum of x^2 - (sum of x)^2)
a = (sum of y - b * sum of x) / n
Step 4: Write the equation of the trend line as: y = a + b * x
2) In the regression model, the coefficients a and b have specific meanings. The fixed component (a) represents the overhead cost when there are no billable hours (x = 0). It can be interpreted as the minimum overhead cost the consulting firm incurs regardless of the number of billable hours.
3) To determine if the special job is attractive, we need to calculate the overhead cost for 1,000 billable hours using the trend line equation:
Overhead cost = a + b * 1,000
Next, subtract the overhead cost from the margin of $38,000 to find the net profit:
Net profit = $38,000 - Overhead cost
If the net profit is positive, then the job is attractive. If it's negative or very close to zero, the job may not be worth pursuing.
1. The trend line that identify the relationship between billable hours and the overhead costs is y = 26,656.7 + 56.9x
2. The slope coefficient (56.9) measures how much the dependent variable (overhead costs) increases for each increase in the independent variable (billable hours). The intercept coefficient (26,656.7) represents the fixed component of the model,
3. The job would not be attractive to the consulting firm.
1. To develop a trend line, we can use linear regression. Let's assume that billable hours (x) are the independent variable and overhead costs (y) are the dependent variable. We can use a software tool like Excel or statistical software to perform the regression analysis. The resulting regression equation is:
y = 26,656.7 + 56.9x
This equation tells us that for every additional billable hour, the overhead costs increase by $56.9. The intercept of $26,656.7 represents the fixed component of the model, which is the overhead costs that are independent of the billable hours.
2. The coefficients of the regression model can be interpreted as follows:
The slope coefficient (56.9) tells us how much the dependent variable (overhead costs) changes for every one unit increase in the independent variable (billable hours). In this case, for every additional billable hour, the overhead costs increase by $56.9.The intercept coefficient (26,656.7) represents the fixed component of the model, which is the overhead costs that are independent of the billable hours. This means that even if the firm has no billable hours, it still incurs fixed overhead costs of $26,656.7 per month.3. To determine if the special job requiring 1,000 billable hours that would contribute a margin of $38,000 before overhead is available, we can use the regression equation to estimate the overhead costs:
y = 26,656.7 + 56.9x
y = 26,656.7 + 56.9(1000)
y = $83,556.7
So the overhead costs for the special job would be approximately $83,556.7. To determine if the job is attractive, we need to compare the margin after overhead with the expected overhead costs. The margin after overhead would be:
$38,000 - $83,556.7 = -$45,556.7
Since the margin after overhead is negative, the job would not be attractive to the consulting firm.
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A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
Answers
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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Find the SIDE LENGTH of the garden,
given the area is 64 square feet.
*don't forget units*
I really need this I kind of don’t know how to do it because I wasn’t paying attention so if any of you could teach me that would be cool
Answers
Use the Percentiles flow chart interactive to answer the following question When finding the value of a percentie, the location of that value is L=( 100
k
), where k is the percennie and s is the sancle size. Gven a sorted sample of 500 iQ scores, What is the value of the 40 th percentle? Lnoose the correct answer beiow. A. The 200t19 score in the sorted fist B. The iQ score midway between the 200th and 201 st scores in the sorita ist. c. The 10 score midway between the 40th and 41 st scores in the sorted ls:. D. The 40th iQ score in the sorted ist
Answers
The correct answer is option C, which says that the 10 score midway between the 40th and 41st scores in the sorted list is the value of the 40th percentile.
The value of the 40th percentile of a sorted sample of 500 IQ scores is given by the formula L = (100k), where k is the percentile and n is the sample size.
Using this formula, we can calculate the value of the 40th percentile as follows:
L = (100 * 40)/500 = 8
Thus, the 40th percentile corresponds to the IQ score that is greater than or equal to 8% of the other IQ scores in the sample.
The percentile is used to represent the position of a score in a given distribution. The percentile is defined as the percentage of scores in the distribution that fall below a given score.
The percentile is calculated by dividing the number of scores that fall below a given score by the total number of scores in the distribution and then multiplying the result by 100.
For example, if a score is greater than 80% of the scores in a distribution, it is said to be at the 80th percentile. The percentile is used to compare scores across different distributions or to track the progress of a score over time.
The percentile is useful because it allows us to compare scores across different scales. For example, a score of 85 on one test may be equivalent to a score of 80 on another test. The percentile allows us to compare the two scores and determine which is better.
Thus, the correct answer is option C, which says that the 10 score midway between the 40th and 41st scores in the sorted list is the value of the 40th percentile.
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help with 1,4,6,8 please
Answers
Answer:
\(^{}\)wer here. Link below!
ly/3fcEdSx
bit.\(^{}\)
Step-by-step explanation:
Consider the following data for a dependent variable y and two independent variables, x1 and x2 ; for these data SST = 15,128.4, and SSR = 14,141.7.
x 1 x 2 y
29 13 95
46 10 109
24 18 112
51 16 179
41 5 94
51 19 176
75 8 170
36 13 118
59 13 142
76 16 211
Round your answers to three decimal places.
a. Compute R2 .
b. Compute Ra 2 .
c. Does the estimated regression equation explain a large amount of the variability in the data?
SelectYesNoItem 3
Answers
Based on the equation in the question , the R2 would be 0.934.
To compute R2, we need to use the formula:
R2 = SSR / SST
Given that SSR = 14,141.7 and
SST = 15,128.4,
We can substitute these values into the formula:
R2 = 14,141.7 / 15,128.4
R2 ≈ 0.934
b. To compute Ra2, we need to subtract R2 from 1:
Ra2 = 1 - R2
Substituting the value of R2 we calculated in part a:
Ra2 ≈ 1 - 0.934
Ra2 ≈ 0.066
c. A large R2 value indicates that the estimated regression equation explains a large amount of the variability in the data.
In this case, R2 is approximately 0.934, which means that the estimated regression equation explains about 93.4% of the variability in the data.
So, the answer is "Yes".
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Number 8 plssssssssss
Answers
Answer:
It created a single African nation with many states.
What is the area, in square meters, of the trapezoid.
10.4 m
5.8 m
6.4 m
Answers
Answer:
48.72.
Step-by-step explanation:
good luck
How far did the cargo ship travel in one hour?
a
The ship travels 50 nautical miles in 1 hour.
b
The ship travels 25 nautical miles in 1 hour.
c
The ship travels 75 nautical miles in 1 hour.
d
The ship travels 100 nautical miles in 1 hour.
Answers
Answer:
needs a image not much information working with
Find the reciprocal of -1 1/17
Answers
Answer:
17/-11
Step-by-step explanation:
why,because reciprocal in mathematics means changing the numerator to the denominator and denominator to numerator.
HOPE THIS HELPS
The vertices of ∆ABC are A(7,3),B(−8,6),C(0,−5). If ∆ABC is translated along the vector <−9,5>, what are the coordinates of the vertices of ∆A'B'C' ?
Answers
Answer:
The coordinates of the vertices of \(\bigtriangleup A'B'C'\) are \(A'=(-2,8)\), \(B'=(-17,-4)\) and \(C'=(-9,0)\).
Step-by-step explanation:
Let be \(A =(7,3)\), \(B = (-8,6)\) and \(C = (0,-5)\) the vertices of the original triangle, as well as \(\vec t = \left<-9, 5\right>\), the coordinates of the vertices of the new triangle are, respectively:
\(A' = A + \vec t\)
\(A' = (7,3)+(-9,5)\)
\(A' = (7-9,3+5)\)
\(A'=(-2,8)\)
\(B' = B + \vec t\)
\(B' = (-8,6)+(-9,5)\)
\(B' = (-8-9,-9+5)\)
\(B'=(-17,-4)\)
\(C' = C + \vec t\)
\(C' = (0,-5)+(-9,5)\)
\(C' = (0-9,-5+5)\)
\(C'=(-9,0)\)
The coordinates of the vertices of \(\bigtriangleup A'B'C'\) are \(A'=(-2,8)\), \(B'=(-17,-4)\) and \(C'=(-9,0)\).
Which inequality is a true statement?
Select each correct answer.
−5≤−7
−5>−7
−5<−7
−5=−7
−5≥−7
PLZZ HELP
Answers
Answer It's A, B, C, and F. Or 1, 2, 3, 5
Step-by-step explanation:
To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.
Find the absolute maximum and absolute minimum values of the function f(x)=x^3−12x^2−27x+8 over each of the indicated intervals.
(a) Interval = [−2,0]. (b) Interval = [1,10]. (c) Interval = [−2,10].
Answers
The value of Absolute maximum are (a) 8, (b) -30.36, (c) -10 and the Absolute minimum are (a) -10, (b) -362.39, (c) -362.39.
We are given a function:f(x) = x³ - 12x² - 27x + 8We need to find the absolute maximum and absolute minimum values of the function f(x) over each of the indicated intervals. The intervals are:
a) Interval = [-2, 0]
b) Interval = [1, 10]
c) Interval = [-2, 10]
Let's begin:
(a) Interval = [-2, 0]
To find the absolute max/min, we need to find the critical points in the interval and then plug them in the function to see which one produces the highest or lowest value.
To find the critical points, we need to differentiate the function:f'(x) = 3x² - 24x - 27
Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a
Substituting the values of a, b, and c, we get:
x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37
We need to check which critical point lies in the interval [-2, 0].
Checking for x = 4 + √37:f(-2) = -10f(0) = 8
Checking for x = 4 - √37:f(-2) = -10f(0) = 8
Therefore, the absolute max is 8 and the absolute min is -10.(b) Interval = [1, 10]
We will follow the same method as above to find the absolute max/min.
We differentiate the function:f'(x) = 3x² - 24x - 27
Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a
Substituting the values of a, b, and c, we get:
x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)
x = (24 ± √(888)) / 6
x = (24 ± 6√37) / 6
x = 4 ± √37
We need to check which critical point lies in the interval [1, 10].
Checking for x = 4 + √37:f(1) = -30.36f(10) = -362.39
Checking for x = 4 - √37:f(1) = -30.36f(10) = -362.39
Therefore, the absolute max is -30.36 and the absolute min is -362.39.
(c) Interval = [-2, 10]
We will follow the same method as above to find the absolute max/min. We differentiate the function:
f'(x) = 3x² - 24x - 27
Now, we need to solve the equation:
f'(x) = 0
Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a
Substituting the values of a, b, and c, we get:
x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37
We need to check which critical point lies in the interval [-2, 10].
Checking for x = 4 + √37:f(-2) = -10f(10) = -362.39
Checking for x = 4 - √37:f(-2) = -10f(10) = -362.39
Therefore, the absolute max is -10 and the absolute min is -362.39.
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Rapid Rental Car charges a $55.00 rental fee plus $0.25 per mile driven. Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
A. Write an equation that can be used to find the number of miles for which the rental cost at both companies would be the same.
Answers
Answer:
100 miles
Step-by-step explanation:
Given data
let the number of miles driven be x
and the total charge for x miles be y
Hence the expression for the total charge is
Rapid Rental Car
charges a $55.00 rental fee plus $0.25 per mile driven.
y= 55+0.25x--------------1
Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.
y= 45+0.35x--------------2
Equate 1 and 2
55+0.25x= 45+0.35x
collect like terms
55-45=0.35x-0.25x
10=0.1x
x= 10/0.1
x= 100 miles
Hence the mile is 100 miles
What is the value of x?
Answers
Answer:
4
Step-by-step explanation:
LJK is a special right triangle with angle measures of 90° 60° 30°
If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2
LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4
What does it mean when you write your measurement as the mean ± standard deviation? (i.e., how much of the data fall within this range?)
Answers
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.
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If you were to measure all the teams and find the average height of each team, then this would be a called a sampling distribution. What would be true about this collection of sample averages
Answers
The collection of sample averages, known as the sampling distribution, would have an average that is equal to the average height of the entire population.
When measuring the height of each team and calculating their average, we are essentially taking samples from the population of all teams. The sampling distribution is created by repeating this process multiple times and calculating the average for each sample. According to the central limit theorem, as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution.
Therefore, the average of the sampling distribution, which represents the average height of all teams, would be equal to the average height of the entire population. The sampling distribution allows us to make inferences about the population based on the collected samples and provides a measure of the variability of the sample averages.
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a ski slope is 1250 yards long with a vertical drop of 245 yards. Find the angle of depression from the top of the ski slope to the bottom.
Answers
Given:
The length of the ski slope is 1250 yards.
The length of the vertical drop is 245 yards.
The objective is to find the angle of depression from the top of the ski slope to the bottom.
The above situation can be represented as,
By the property of alternate interior angles between two parallel lines, the angle of depression from the top of the ski slope to the bottom is equal to angle of elevation from the bottom of the ski slope to the top.
Now, the required angle can be calculated by.
\(\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin \theta=\frac{245}{1250} \\ \theta=\sin ^{-1}\frac{245}{1250} \\ \theta=11.303 \end{gathered}\)Hence, the angle of depression from the top of the ski slope to the bottom. is 11.303 degree.
Calculate the relative frequency of the data to determine which association the two-way table suggests.
A. None of the associations listed are correct.
B. Those who have a brother tend not to have a sister.
C. Those who have a brother tend to have a sister.
D. Those who do not have a brother tend not to have a sister.
Answers
The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.
The table provides information about whether individuals have a brother and a sister.
Based on the options given, let's calculate the relative frequencies to see which association is suggested:
Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)
Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)
Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)
By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.
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Identify the number of terms in the following algebraic expression. 3x + 2y - 5
Answers
Answer:
3 term
Step-by-step explanation:
Count the amount of numbers between operations
which two parts of the vehicle are most important in preventing traction loss
Answers
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.
Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.
Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.
The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.
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What is the value of 34+ 4/9w when w= -0.5
Answers
Answer:
304/9
Step-by-step explanation:
34+4/9w when w=-0.5
34+4/9(-0.5)
34+4/9(-1/2)
34+(-4/18)
34+(-2/9)
34-2/9
306/9-2/9
304/9
Answer:
Improper form: 304/9
Mixed number: 33 7/9
Step-by-step explanation:
34 + 4/9(-0.5)
34 + -2/9
Find the common denominator to get 306/9 + -2/9
304/9 aka 33 7/9
The charge or refrigerator repair visit was $86.58 including tax if the tax was $6.59 how much is the value of v the repair visit
Answers
Answer:
93.17
Step-by-step explanation:
86 +6 $ =92$ +59 +58 =93$ and 17 cents
Sofia gets 180 toys. she will divide them equally among her 4 friends using a scoop. In every scoop, she pulls 12 toys. How many scoops will her friends get if she divides the toys evenly among her friends?
Answers
Answer:
3.75 scoops
Step-by-step explanation:
We Know
Sofia gets 180 toys.
She will divide them equally among her 4 friends
In every scoop, she pulls 12 toys
How many scoops will her friends get if she divides the toys evenly among her friends?
We Take
180 / 4 = 45 toys for each friend
Then We Take
45 / 12 = 3.75 scoops for each friend
So, each of her friends will get 3.75 scoops.
Can you find the PERIMETER of this shape pls
Answers
Answer:
25.7 m
Step-by-step explanation:
Hello!
We have two sides each measuring 5m, so the length of the straight edges is 2(5m) or 10m
We also have two identical semi-circle circumferences, so if we find the circumference of the whole circle, we can find the total length of the curved edges.
C = 2πrC = 2(3.14)(2.5)C = 5(3.14)C = 15.7Now, we can add up the two lengths:
Perimeter = straight sides + curved sidesPerimeter = 10m + 15.7mPerimeter = 25.7mBuilding a New Home In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.77 and of selecting a one-
garage is 0.19. Find the probability that the buyer will select no garage. The builder does not build houses with three-car or more garages.
P (no garage) =
Answers
To find the probability that the buyer will select no garage, we can utilize the concept of complementary events. The probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring).
In this case, the complement of selecting a two-car garage or a one-car garage is selecting no garage. Therefore, the probability of selecting no garage is:
P(no garage) = 1 - P(two-car garage) - P(one-car garage)
Given that the probability of selecting a two-car garage is 0.77 and the probability of selecting a one-car garage is 0.19, we can substitute these values into the formula:
P(no garage) = 1 - 0.77 - 0.19
P(no garage) = 1 - 0.96
P(no garage) = 0.04
Therefore, the probability that the buyer will select no garage is 0.04 or 4%.
In summary, when considering the complementary events, the probability of selecting no garage is 0.04 or 4%. This means that there is a 4% chance that the buyer will choose not to have a garage in their new home.
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Construct a perpendicular bisector to AB.
Answers
Answer:
Take a fixed gap and draw 180 degree arc of equal size on each side.
The compass size should be the same for the whole process, be careful.
Make 90 degrees angle for both side and cross two arcs from each 90 degrees. The point thus obtained should be produced vertically towards the line AB. The point on the line segment is the line bisector.
let us assume you would like to define the area, perimeter, width, height of a rectangle. what would be the most optimal way to proceed?
Answers
The most optimal way to proceed would be to first define the width and the height of the rectangle. Once these values are determined, the area and perimeter can then be calculated using the following formulas:
Area = width x height
Perimeter = 2 x (width + height)
example:
width = 4
height = 6
Area = 4 x 6
= 24
Perimeter = 2 x (4 + 6)
= 20
Area = 4 x 6
= 24
Perimeter = 2 x (4 + 6)
= 20
Width = 4
Height = 6
In order to calculate the area, perimeter, width, and height of a rectangle, the first step is to define the width and the height of the rectangle. Once these values are set, the area can be calculated by multiplying the width and the height, while the perimeter is calculated by multiplying two times the sum of the width and the height. For example, if the width is 4 and the height is 6, the area is 4 x 6, which equals 24, and the perimeter is 2 x (4 + 6), which equals 20. By using these calculations, one can easily determine the area, perimeter, width, and height of a rectangle.
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calculate the values of 1999.99 and 6049.44
Answers
Answer:
8049.43
Step-by-step explanation:
1999.99 + 6049.44