Kenny need to buy 4 quarts.
It cost $14.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
The mailbox is splitted into two shapes.
One is rectangle and the other is hemisphere.
Length of the rectangle = 2.4 ft
Width of the rectangle = 1.5 ft
Height of the rectangle = 3 ft
Surface area of the given rectangle
= 2(lw + wh + lh) – lw
= 2(2.4 × 1.5 + 1.5 × 3 + 2.4 × 3) – (2.4 × 1.5)
= 2(3.6 + 4.5 + 7.2) – 3.6
= 2(15.3) – 3.6
= 27
Surface area of the given rectangle = 27 square feet
Radius of the hemisphere = 1.2 ft
Curved surface area of hemisphere
= 2*pi*r^2
= 9.0432 square feet
Curved surface area of hemisphere = 9.0432 square feet
Total surface area of the mailbox = 27 + 9.0432
= 36.0432 square feet
To find how many quarts are needed to cover the mailbox.
1 Quart covers = 10 square feet
36.0432 sq. ft = 36.0432 ÷ 10
= 3.60432 quarts
≈ 4 quarts (approximately)
Hence Kenny need to buy 4 quarts.
Cost of 1 quart = $3.50
Cost of 4 quart = 4 × 3.50
= 14
Hence it cost $14.
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Solve for l if V = 120 w = 5 and h = 4
Answer:
The value of l is 48. The formula to calculate volume (V) is V = l * w * h, so we can rearrange the equation to solve for l, or l = V/(w * h). In this case, l = 120/(5 * 4) = 48.
Answer:
125
Step-by-step explanation:
w
7 divided by 7 distance formula
Based on the distance formula, when the total distance is 7 miles and the average speed is 7 miles per hour, the time taken is 1 hour.
What is the distance formula?Distance refers to the length from one point to another.
To compute the distance, we need to know the speed and the time taken.
Distance formula is:
Distance = Time x Speed
When the distance is given, the time or average speed can be obtained as the quotient of distance and average speed or time, as the case may be.
Thus, using the distance, time, and speed formulas, the time taken to cover a distance of 7 miles at an average speed of 7 miles per hour is 1 hour.
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let us suppose that some article investigated the probability of corrosion of steel reinforcement in concrete structures. it is estimated that the probability of corrosion is 0.1 under specific values of half-cell potential and concrete resistivity. the risk of corrosion in five independent grids of a building with these values of half-cell potential and concrete resistivity is investigated now. let the random variable x denote number of grids with corrosion in this building. determine the probability mass function of x.
The probability mass function for the random variable would be 0.38742049.
What is probability mass function {P.M.F}?In probability and statistics, a probability mass function is a function that gives the probability that a discrete random variable is exactly equal to some value.
Probability mass function is the probability distribution of a discrete random variable, and provides the possible values and their associated probabilities. It is the function [tex]{\displaystyle p:\mathbb {R} \to [0,1]}[/tex] defined by -
[tex]${\displaystyle p_{X}(x)=P(X=x)}[/tex].
Given is that the probability of corrosion is 0.1 under specific values of half-cell potential and concrete resistivity. the risk of corrosion in five independent grids of a building with these values of half-cell potential and concrete resistivity is investigated now.
We can write the
[tex]$f(x;n,p) = \frac{n!}{x!(n-x)!}\; p^{x} \;(1-p)^{n-x}[/tex]
where -
{x} = number of successes
{n} = number of trials
{p} = probability of a successful outcome
Substituting the values, we get -
[tex]$f(1;10,0.1) = \frac{10!}{1!(10-1)!}\; (0.1)^{x} \;(1-0.1)^{10-1}[/tex]
[tex]$f(1;10,0.1) = 0.38742049[/tex]
Therefore, the probability mass function for the random variable would be 0.38742049.
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100 POINTS HELP PLEASE
Answer:
C
Step-by-step explanation:
Write the solution using interval notation
The solution to the inequality is [-∝, -6]
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
2/3x + 9 ≤ -2/3x + 1
Using the above as a guide, we have the following:
Evaluate the like terms
4/3x ≤ -8
Cross multiply
4x ≤ -24
Divide by 4
x ≤ -6
As an interval notation, we have
[-∝, -6]
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this is the first part of a three-part problem. express 18√8 in the form a√b, where a and b are integers and b is as small as possible. Hint(s): Factor √8 as the product of two square roots, one of which is the square root of a perfect square.
Answer:
18√8 = 3√2 * 3√2
Step-by-step explanation:
I factored the square root of 8 into the square root of 2 times the square root of 2, because I believe that the square root of 8 was supposed to be factored based upon the hint provided.
This resulted in the expression 3√2 * 3√2, which is equivalent to 3*3*sqrt(2) * sqrt(2).
How can $60,000 be invested, part at 10% annual simple interest and the remainder at 5% annual simple interest, so that the interest earned by the two accounts will be equal?
Answer:
Step-by-step explanation:
Let's assume that the amount invested at 10% is x, and the amount invested at 5% is (60000 - x), since the total investment is $60,000.
The interest earned on the 10% investment after one year would be 0.10x, and the interest earned on the 5% investment after one year would be 0.05(60000 - x).
We are given that the interest earned by the two accounts is equal, so we can set up an equation:
0.10x = 0.05(60000 - x)
Simplifying this equation, we get:
0.10x = 3000 - 0.05x
Adding 0.05x to both sides, we get:
0.15x = 3000
Dividing both sides by 0.15, we get:
x = 20000
Therefore, the amount invested at 10% is $20,000, and the amount invested at 5% is ($60,000 - $20,000) = $40,000.
To check that the interest earned is equal for both investments, we can calculate:
Interest earned on 10% investment = 0.10($20,000) = $2,000
Interest earned on 5% investment = 0.05($40,000) = $2,000
As expected, the interest earned on both investments is equal.
It is the morning of the day that senior class presidents Anna and Sean have worked toward for weeks: the Senior Class Picnic! Anna reads, with some distress, that there is a 60% probability of rain in their area today. Which of the following best describes the most likely way the probability was determined?
a. It rains 60% of the time on this date each year.
b. Historically, in the United States, it has rained 60% of the time on days with similar meteorological conditions as today.
c. Historically, it rains 60% of the days during this month.
d. Historically, in this area, it has rained 60% of the time on days with similar meteorological conditions as today.
Answer:
Step-by-step explanation:
When trying to determine the probability of rain on a given day, there are a variety of methods that could potentially be used, depending on the data available and the specific context. In the case of Anna and Sean's Senior Class Picnic, the probability of rain is stated to be 60%, which suggests that some kind of statistical analysis was used to arrive at this figure. The question asks which of the following methods was most likely used to determine this probability.
Option a suggests that the probability of rain is based on the frequency of rain on the same date each year. This method might be used if there is a long-term historical record of weather conditions on this particular date, which could be used to estimate the probability of rain. However, the question does not provide any information to suggest that this is the case. Additionally, even if there is historical data for this date, it may not be particularly relevant if the local climate has changed over time or if the weather patterns for this particular year are unusual.
Option b suggests that the probability of rain is based on historical data for days with similar meteorological conditions as today. This method might be used if there is a large database of weather information that can be used to identify patterns in weather conditions and predict the likelihood of rain based on those patterns. However, the question does not specify what kinds of meteorological conditions are being considered, so it is unclear whether this is a valid method for the current situation.
Option c suggests that the probability of rain is based on the historical frequency of rain during this month. This method might be used if there is a reliable historical record of weather conditions for this month, which can be used to estimate the likelihood of rain. However, this method does not take into account the specific conditions of the current day, which could be very different from the average conditions for the month.
Option d suggests that the probability of rain is based on historical data for days with similar meteorological conditions to the current day, in the specific area where Anna and Sean are located. This method is the most plausible option, as it takes into account the local climate and weather patterns, as well as the specific conditions of the current day. This type of analysis might involve looking at historical data for temperature, humidity, air pressure, and other relevant factors, and using that information to predict the likelihood of rain.
In summary, based on the information provided in the question, option d seems to be the most likely method for determining the probability of rain on the day of Anna and Sean's Senior Class Picnic.
If Hassan got 48/50 and scored an overall 5.7/6.0, what would Emily's overall score be is she got 32/40?
Answer:
if Hassan got 48/50 and scored an overall 5.7/6.0, and Emily got 32/40, her overall score would be approximately 5.6/6.0 (rounded to one decimal place).
Step-by-step explanation:
If Hassan got 48/50 and scored an overall 5.7/6.0, what would Emily's overall score be is she got 32/40?
To determine Emily's overall score, we can use a proportion:
Hassan's score / Hassan's total = Emily's score / Emily's total
Substituting the given values, we get:
48/50 = 32/Emily's total
To solve for Emily's total, we can cross-multiply:
48/50 * Emily's total = 32
Simplifying the left-hand side, we get:
0.96 * Emily's total = 32
Dividing both sides by 0.96, we get:
Emily's total = 33.33 (rounded to two decimal places)
Now, we can use another proportion to find Emily's overall score:
Emily's score / Emily's total = 5.7/6.0
Substituting the value of Emily's total that we just found, we get:
Emily's score / 33.33 = 5.7/6.0
Solving for Emily's score, we get:
Emily's score = 31.4 (rounded to one decimal place)
Therefore, if Hassan got 48/50 and scored an overall 5.7/6.0, and Emily got 32/40, her overall score would be approximately 5.6/6.0 (rounded to one decimal place).
Find the coordinates of the midpoint of a segment with the endpoints (−8,−11) and (2,5)
The midpoint M of the given line segment with end points (−8,−11) and (2,5) is (-3,-3).
What is meant by the midpoint of a line segment?
A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. The centre of a line segment is known as the midpoint. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.
Given a line segment with endpoints A and B.
A = (−8,−11) = (x₁ , y₁)
B = (2,5) = (x₂, y₂)
W asked to find the midpoint. Let the midpoint be M.
M = ( (x₁ + x₂) /2 , (y₁ + y₂) / 2)
(x₁ + x₂) /2 = (-8 + 2) /2 = - 6/2 = -3
(y₁ + y₂) / 2 = (-11 + 5) /2 = -6/2 = -3
Therefore the midpoint M of the given line segment with end points (−8,−11) and (2,5) is (-3,-3).
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My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment.
need done as soon as possible
N
B
(a) Name the vertex of 21.
(b) Name the sides of ABC.
0
(c) Write two other names for 2.
(a) The vertex of ∠1 is B.
(b) The sides of ∠ABC are BA and BC.
(c) Two other names for ∠2 are ∠CBD and ∠DBC
How to name the vertex of ∠1 and name the sides of ∠ABC?In geometry, the vertex of an angle is the common endpoint of the two rays that form the angle. The rays that form the angle are called the sides of the angle.
In the figure, the point B is the vertex of the angle ∠ABC (angle ∠ABC is equal to ∠1). The sides of the angle are BA and BC.
Thus, the vertex of ∠1 is B.
The sides of ∠ABC are BA and BC.
Two other names for ∠2 are ∠CBD and ∠DBC
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what is 5 - 1/4 as a simplest form?
5 - 1/4 in simplest form is 19/4.
Define the simplest form.The phrase "expressing a number, fraction, or statement in its simplest form" has a mathematical meaning. This signifies that further simplification or reduction of the result would cause a change in the result's value.
By dividing the numerator and denominator by their 4 greatest common factors, for instance, the fraction 4/8 can be made simpler. In its simplest form, this gives us 1/2. A different number, such as 0.5, which is not in its simplest form, results from additional simplification.
To simplify 5 - 1/4, we need to find a common denominator and combine the terms. The common denominator is 4, so we can write:
5 - 1/4 = 20/4 - 1/4
= (20 - 1)/4
= 19/4
Therefore, 5 - 1/4 in simplest form is 19/4.
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HELPPPP 100 POINTSSSSSSSSSS
what u need help with
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
A. y/x=3/2
B. y/x=2/3
C. y/2=3/x
D. y/3=x/2
As a result, option B is the equation that finds the equation of the line: y/x = 2/3.
What is equation?An equation is a mathematical statement that indicates that two expressions are equal. It is a statement of equality that contains one or more variables, which are usually represented by letters. An equation consists of two sides separated by an equal sign (=). The left-hand side (LHS) and the right-hand side (RHS) of the equation may contain different expressions, which may include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
Here,
To find the equation of the line that passes through the points (0,0) and (6,4), we can use the slope-intercept form of the equation of a line, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
The slope of a line is given by the rise over run, or the change in y divided by the change in x, between any two points on the line.
We can use the coordinates (0,0) and (6,4) to find the slope of the line:
slope = (change in y) / (change in x)
= (4 - 0) / (6 - 0)
= 4/6
= 2/3
Therefore, the slope of the line is 2/3.
To find the equation of the line, we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
where (x1, y1) is any point on the line. We can use the point (0,0), so the equation becomes:
y - 0 = (2/3)(x - 0)
Simplifying, we get:
y = (2/3)x
Therefore, the expression that finds the equation of the line is option B: y/x = 2/3.
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A guy wire runs from the top of a cell tower to a metal stake in the ground. Sebastian places a 6-foot tall pole to support the guy wire. After placing the pole, Sebastian measures the distance from the stake to the pole to be 2 ft. He then measures the distance from the pole to the tower to be 19 ft. Find the length of the guy wire, to the nearest foot.
Rounding this to the nearest foot, we get that the length of the guy wire is approximately 19 feet.
What distinguishes a length as such?Units of length may have historically been determined by the lengths of human body parts, the distance traversed in a specified number of paces, the distance between well-known sites or locations on Earth, or randomly by the length of a well-known object.
The Pythagorean theorem can be used to resolve this issue. The guy wire is the hypotenuse of a right triangle made up of the guy wire, the pole, and the ground. The formula is as follows:
Guy wire length = stake to pole length + pole length to tower length
By entering the specified values, we obtain:
Guy wire length two equals two plus nineteen, or 365.
Guy wire length = 365 + 19.10 + guy wire length
If we round this number to the next foot, the guy wire's length is roughly 19 feet.
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What is the solution to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4.
The solution to to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4 is 2 log₂ (x³ - 8) - 2 log₂ x = -2.
A logarithm expression is an expression in which the unknown value is expressed as the power to which a base number must be raised to produce a given number. For example, the equation log₂ 8 = 3 can be expressed as 2³ = 8.
A logarithm function is a type of mathematical function that calculates the logarithm of a given number. Logarithm functions are commonly used in mathematics, engineering, and science to simplify calculations. Logarithm functions can also be used to convert between different units of measurement.
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Order the values from least to greatest. HID 1 |-2=1 2 1 2 1 2 |-2| -2 12
The numbers in the set can be compared by placing them in the number line, arranging the numbers from least to greatest as follows;
[tex]|-2\frac{1}{2} |[/tex], [tex]-\frac{1}{2}[/tex], [tex]1\frac{1}{2}[/tex], [tex]|\frac{1}{2} |[/tex] |-2|, [tex]-2\frac{1}{2}[/tex]
What is a number line?A number line is a series of numbers placed on the a line at regular intervals that can be used to express mathematical operations.
The elements in the set includes;
|-2 1/2|, -1/2, 1 1/2, |1/2|, |-2|, -2 1/2
The numbers within the absolute sign have a positive result, therefore;
|-2 1/2| = 2 1/2
|-2| = 2
The numbers in the set can be arranged in the order from least to the greatest as follows;
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2The above ordered numbers indicates that the specified numbers arranged in order from least to the greatest are;
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Two students, Student A and Student B, claim to know the correct representation of the Expression 9/y3t student a represents the expression as the product of 9 and y times the product of 3 and t student B represents the expression as the quotient of 9 and y times the sum of 3 and t both students claims are incorrect what makes each representation incorrect explain your answer
Both Student A and Student B's representations of the expression 9/y³ⁿ are incorrect.
What is expression?In mathematics, an expression is a combination of numbers, symbols, and/or variables that are arranged in a meaningful way. An expression can represent a value, a quantity, a function, or some other mathematical object. Expressions can be made up of one or more terms. A term is a group of numbers, symbols, and/or variables that are separated by a plus or minus sign. Expressions can also include mathematical operations, such as addition, subtraction, multiplication, and division, as well as exponents and parentheses. Expressions are used in various areas of mathematics, including algebra, calculus, and statistics, to represent mathematical relationships and to solve problems.
Here,
Student A represents the expression as the product of 9 and y times the product of 3 and t, which can be written as: 9 * y * 3 * t = 27yt.
This representation is incorrect because it does not include the exponent 3 in the denominator. The correct representation of the expression is: 9 / y^3t.
Student B represents the expression as the quotient of 9 and y times the sum of 3 and t, which can be written as: 9 / y * (3 + t) = (27 + 9t) / y.
This representation is also incorrect because it incorrectly combines the sum of 3 and t in the denominator. The correct representation of the expression is: 9 / y^3t.
To represent the expression correctly, we need to include the exponent 3 in the denominator, indicating that y is being raised to the power of 3, and include t as a separate factor in the denominator. Therefore, the correct representation of the expression is: 9 / (y^3 * t).
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Answer:
Student A says prodact of Tandy, but 9 is 9 y so it's quotient.
Step-by-step explanation:
to study learned behavior in mice, researchers used a sample of mice in a maze experiment. each mouse had to find its way through a maze to reach food at the end. the mouse was timed on its first run through the maze and again on its tenth run through the maze. the difference in the times was recorded for each mouse. which of the following is the most appropriate inference procedure for the researchers to use?
The most appropriate inference procedure for the researchers to use is this:
Matched pairs t-interval for a mean difference.What is the most appropriate inference?The best inference to use for the scenario described in the text is a matched pair t-interval for a mean difference. This form of testing is used in order to determine the differences between variables that occur within a specific subject.
So, in this instance, we are measuring the timed differences between the mice and associating this with their learned behavior. The matched pairs t-interval will help the researcher to accurately identify any changes with respect to time.
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Does someone know how to find the surface area and volume?
The solution is, The volume is 1,260 in³ & The surface area is 864 in^2.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
First, let's find the volume
Volume = length × width × height
30 × 6 × 7 = 1260
The volume is 1,260 in³
Surface Area:
Small squares: 84
(7 × 6) · 2
Smaller rectangles: 360
(30 × 6) · 2
Bigger rectangles: 420
(30 × 7) · 2
Now, let's add all
84 + 360 + 420 = 864
The surface area is 864 in^2.
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A data set is normally distributed with a mean of 52 and a standard deviation of 3.2.
Which is closest z-score for 45?
Answer:
[tex]z = -2.1875[/tex]
Step-by-step explanation:
The z score is given by the formula
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
where
[tex]z =[/tex] standard score
[tex]x[/tex] = data point = 45 for this problem
[tex]\mu[/tex] = mean = 52 for this problem
[tex]\sigma =[/tex] standard deviation = 3.2 for this problem
Therefore
[tex]z = \dfrac{45 - 52}{3.2} = -2.1875[/tex]
25
Find five consecutive odd integers if the sum of the first three integers is 7 more than
the sum of the last two.
nswer: The numbers are? Please help
Answer:
Step-by-step explanation:
We can represent the 5 consecutive odd integers as:
1. x
2. x + 2
3. x + 4
4. x + 6
5. x + 8
"...the sum of the first three integers", then, is
x + (x + 2) + (x + 4)
That is "the sum of the last two plus 7", which is
(x + 6) + (x + 8) + 7.
The connecting word "is" means there is an equals sign right there. Therefore,
x + (x + 2) + (x + 4) = (x + 6) + (x + 8) + 7 which simplifies down to
3x + 6 = 2x + 21 after we combine like terms.
x = 15. That means the first integer is 15, the next one is 17, the third one is 19, the fourth one is 21, and the fifth one is 23.
What is the volume of this figure?
80 cubic inches is the volume of the given prism'
Volume of a composite figureThe given figure is made of triangular prisms. The formula for calculating the volume of rectangular prism is expressed as:
Volume = length * width * height
The given composite figure is made of 2 prisms. The volume is calculated as:
V = (5*1*6) + (2*5*5)
V = 30. + 50
V = 80 cubic inches
Hence the required volume of the figure is 80 cubic inches
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Jamaica from Jammin' Candles is trying to arrange 40 candles on a table. She wants them arranged as close to a square shape. Which way should she arrange the candles?
2 rows of 20 candles
10 rows of 4 candles
5 rows of 8 candles
4 rows of 10 candles
Figure Q was rotated about the origin (0,0) by 270 degrees counterclockwise.
Check the picture below.
Find the area and the circumference for the circle below. Use the math tools to get the correct symbols.
Answer:
Area = 78.54 sq. ft. (25π)
Circumference = 31.42 ft. (10π)
Step-by-step explanation:
Diameter of circle d = 10 ft
Radius r = Diameter/2 = 5
Area = πr² = π x 5² = π x 25 = 78.54 sq. ft. rounded to 2 decimal places
Circumference = πd = π x 10 = 31.42 ft. rounded to 2 decimal places.
Figure 1 and Figure 2 below are similar. Which point corresponds to point V?
Answer:
Point Q
Step-by-step explanation:
Point Q corresponds to Point V, because if you turn the green triangle around, it matches almost exactly the same.
Solve the word problem for the portion, rate, or base. Suppose in a single month a certain baseball team won 21 games and lost 3. What percent of the games did they win? (Hint: Use total games played as the base.)
The baseball team won 87.5% of their games in that month.
Describe Algebraic Expression?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.
The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.
Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.
Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance
To find the percentage of games won, we need to divide the number of games won by the total number of games played and multiply by 100%:
percentage of games won = (number of games won / total games played) x 100%
total games played = number of games won + number of games lost = 21 + 3 = 24
percentage of games won = (21 / 24) x 100%
percentage of games won = 87.5%
Therefore, the baseball team won 87.5% of their games in that month.
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What is the solution of the equation 3^x – 1 = 7? Round your answer to the nearest ten-thousandth.
The solution of the equation is to the nearest ten-thousandth is x = 2.7712.
What is natural logarithm?A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459. Typically, the natural logarithm of x is expressed as ln x, loge x, or, if the base e is implicit, just log x.
The given equation is [tex]3^{x-1} = 7[/tex].
Take natural log on both sides of the equation:
[tex]\ln (3^{x-1} )=\ln( 7)[/tex]
(x - 1) ln(3) = ln(7)
x - 1 = ln(7) / ln(3)
x = 1 + ln(7) / ln(3)
x = 2.7712
Hence, the solution of the equation is to the nearest ten-thousandth is x = 2.7712.
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