The cash payback period for the project is 4.7 years.
What is cash payback period?The cash payback period is a financial metric that calculates the amount of time it takes for a project to generate enough cash flows to recover the initial investment (cost). It is calculated by dividing the initial investment by the estimated annual net cash flows.
What is decimal?Decimal refers to a system of numbers based on the number 10, where each digit represents a different power of 10. It is a way of expressing numbers using a decimal point to separate the whole number from the fractional part.
Given:
Estimated annual net cash flows = $55,800
Initial investment (cost) = $262,260
Cash Payback Period = Initial Investment / Estimated Annual Net Cash Flows
Putting the values:
Cash Payback Period = $262,260 / $55,800
Calculating the cash payback period:
Cash Payback Period = 4.7 years (rounded to one decimal place)
Therefore, the cash payback period for the project is 4.7 years.
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A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area when the total perimeter is 20 feet.
As a result, when the entire circumference is 20 feet, the Norman window's maximum area measurements are as follows: x = 8 feet, or around 2.546 feet, is the width, Height: 9.087 feet, or about y = 16 - 16/feet.
Define Perimeter.Perimeter is the total distance around the boundary of a two-dimensional shape, such as a polygon, a circle, or a rectangle. It is the sum of the lengths of all sides or edges of the shape.
Define Area.Area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space enclosed within a closed shape or boundary.
Let's assume that the width of the rectangular part of the window is x and the height is y.
The perimeter of the window is given by:
Perimeter = width + height + semicircle circumference
Perimeter = x + y + πx/2
We are given that the total perimeter is 20 feet, so we can write:
x + y + πx/2 = 20
We can solve for y in terms of x:
y = 20 - x - πx/2
The area of the window is given by:
Area = rectangular part area + semicircle area
Area = xy + πx^2/8
We can substitute the expression we obtained for y into the equation for the area:
Area = x(20 - x - πx/2) + πx^2/8
Simplifying this expression, we get:
Area = 20x - (π/2)x^2 + πx^2/8
Area = 20x - (π/2)x^2/4
To find the maximum area, we can take the derivative of the area function with respect to x and set it equal to zero:
d/dx (Area) = 20 - (π/2)x/2 = 0
Solving for x, we get:
x = 8/π
Substituting this value back into the expression for y that we obtained earlier, we get:
y = 20 - 8/π - π(8/π)/2 = 20 - 4π/π - 16/π = 20 - 4 - 16/π = 16 - 16/π
Therefore, the dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:
Width: x = 8/π feet (approximately 2.546 feet)
Height: y = 16 - 16/π feet (approximately 9.087 feet)
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The dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:
Width: x = 8/π feet (approximately 2.546 feet)
Height: y = 16 - 16/π feet (approximately 9.087 feet)
Define Perimeter.Perimeter is the total distance around the boundary of a two-dimensional shape, such as a polygon, a circle, or a rectangle. It is the sum of the lengths of all sides or edges of the shape.
Define Area.Area is a measure of the size or extent of a two-dimensional surface or region. It is the amount of space enclosed within a closed shape or boundary.
Let's assume that the width of the rectangular part of the window is x and the height is y.
The perimeter of the window is given by:
Perimeter = width + height + semicircle circumference
Perimeter = x + y + πx/2
We are given that the total perimeter is 20 feet, so we can write:
x + y + πx/2 = 20
We can solve for y in terms of x:
y = 20 - x - πx/2
The area of the window is given by:
Area = rectangular part area + semicircle area
[tex]Area = xy + \pi x^{2/8[/tex]
We can substitute the expression we obtained for y into the equation for the area:
[tex]Area = x(20 - x - \pi x/2) + \pi x^{2/8[/tex]
Simplifying this expression, we get:
[tex]Area = 20x - (\pi /2)x^2 + \pi x^{2/8[/tex]
[tex]Area = 20x - (\pi /2)x^{2/4[/tex]
To find the maximum area, we can take the derivative of the area function with respect to x and set it equal to zero:
d/dx (Area) = 20 - (π/2)x/2 = 0
Solving for x, we get:
x = 8/π
Substituting this value back into the expression for y that we obtained earlier, we get:
y = 20 - 8/π - π(8/π)/2 = 20 - 4π/π - 16/π = 20 - 4 - 16/π = 16 - 16/π
Therefore, the dimensions of the Norman window of maximum area when the total perimeter is 20 feet are:
Width: x = 8/π feet (approximately 2.546 feet)
Height: y = 16 - 16/π feet (approximately 9.087 feet)
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Which phrase can be represented by the expression 25.75x + 10?
The phrase represents that the expression is the cost of a product that is priced at $25.75 per unit with an additional fixed cost of $10.
Which phrase represents the expressionThe expression 25.75x + 10 represents a phrase that involves a numerical value that is dependent on a variable x.
We can think of this expression as a linear function, where x is the independent variable and 25.75x is the dependent variable that is multiplied by a coefficient of 25.75.
The constant term of 10 represents a fixed value that is added to the result of the multiplication.
One possible phrase that can be represented by this expression is the cost of a product that is priced at $25.75 per unit with an additional fixed cost of $10.
The variable x in this case would represent the number of units of the product being purchased.
Multiplying the price per unit by the number of units purchased (25.75x) gives us the variable component of the cost, and adding the fixed cost of $10 to this gives us the total cost of the purchase.
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You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have $740 to spend, how many of each type of pizza can you buy?
Therefore , the solution of the given problem of unitary method comes out to be you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.
Define unitary method.To complete the assignment, make use of the tried-and-true fundamental technique, the actual variables, and any insightful knowledge you gain from the general and detailed questions. In response, customers might be given another opportunity to sample the products. We will miss out on substantial expression gains in programming comprehension if these changes don't take place.
Here,
Let's use "p" for the quantity of pepperoni pizzas and "s" for the quantity of sausage pizzas. Finding p and s values that meet the requirements is necessary.
In light of the information provided:
One pepperoni pizza costs $8.
One sausage pizza costs $6.
100 pizzas are required.
Budget total: $740
To reflect the stated conditions, we can construct the following system of equations:
=> p + s = 100 (1)
=> 8p + 6s = 740 (2)
=> 8p + 8s = 800 (3)
=> 8p + 6s - (8p + 8s) = 740 - 800
=> -2s = -60
=> s = (-60)/(-2)
=> s = 30
=> p + 30 = 100
=> p = 100 - 30
=> p = 70
With a $740 budget, you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.
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SOMEONE PLSSS HELPP
What is the volume of this figure?
Enter your answer in the box.
ft³
The volume of the composite figure is 3300 cubic feet.
What is the volume of the figure?From the question, we have the following parameters that can be used in our computation:
The composite figure that has:
CuboidCuboidThe volume V of a cuboid is given by the formula:
V = l × w × h
For the first, the length is 24 ft, the width is 5 ft, and the height is 25 ft. For the second, the length is 4 ft, the width is 3 ft, and the height is 25 ft.Therefore, the volume is:
Volume = 24 ft × 5 ft × 25 ft + 4 ft * 3 ft * 25 ft
V = 3300 cubic feet
So the volume is 3300 cubic feet.
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A rectangular container has a square base with an area of 25 square inches. The container had a height of 4 inches. What is the volume, in cubic inches, of the container?
The volume of the container is 100 cubic inches.
how can we calculate the volume of a rectangle?The volume of a rectangular container is calculated by multiplying its base area by its height. Since the base of the container is square with an area of 25 square inches, the length of each side of the square base is the square root of 25, which is 5 inches.
Therefore, the volume of the container can be calculated as follows:
Volume = Base Area × Height
Volume = 25 square inches × 4 inches
Volume = 100 cubic inches
So, the volume of the container is 100 cubic inches.
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A baby weighs 4kg when he is born. One week later he weighs 8% less than his birth weight.
a) How much does the baby weigh when he is one week old?
b) The baby gains 200g every two weeks for the next eight weeks. How much does the baby weigh when he is nine weeks old?
Answer:
a)3.68kg
b)900g
Step-by-step explanation:
a) First off we know that he weighs 4kg now and he weighed 8% less the next week. 8% of 4kg=0.32kg. We then have to subtract 0.32 kilograms from the original weight. 4-0.32=3.68
Your answer for A is 3.68 kg
b) If the baby gains 200g every two weeks, assuming it's a constant rate, he should gain 100g every week. 100*9weeks=900g.
Lester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the 6 months before the exercise program began and in the 6 months following the exercise program. Following are the results.
Employee Before After
1 8 7
2 7 3
3 8 2
4 8 4
5 6 5
6 7 10
7 6 4
8 8 9
At the 0.050 significance level, can he conclude that the number of absences has declined?
a. Compute the test statistic.
b. Compute the p-value.
The p-value can also be calculated using a t-distribution table or a statistical software package. Using a two-tailed test with 7 degrees of freedom and a significance level of 0.05, we obtain a p-value of 0.073.
How to solve the question?
To determine whether the fitness program has had a significant effect on reducing employee absenteeism, we need to conduct a hypothesis test.
Null hypothesis: The average number of absences before and after the fitness program are the same.
Alternative hypothesis: The average number of absences after the fitness program is less than before the program.
To test this hypothesis, we can use a one-tailed paired t-test with a significance level of 0.05. We will calculate the difference between the number of absences before and after the program for each employee, and then compute the mean and standard deviation of the differences. The t-test statistic will then be calculated as the mean difference divided by the standard deviation of the differences, multiplied by the square root of the sample size.
Using the given data, we calculate the differences and obtain the following results:
Employee Before After Difference (d) d²
1 8 7 -1 1
2 7 3 -4 16
3 8 2 -6 36
4 8 4 -4 16
5 6 5 -1 1
6 7 10 3 9
7 6 4 -2 4
8 8 9 1 1
Mean difference (d-bar) = -1.25
Standard deviation of differences (s) = 3.27
Sample size (n) = 8
The t-test statistic can now be calculated as:
t = (d-bar / (s / √(n))) = (-1.25 / (3.27 / √(8))) = -1.63
The degrees of freedom for the t-test is n-1 = 7, which can be used to obtain the p-value from a t-table or calculator. Using a one-tailed test with a significance level of 0.05 and 7 degrees of freedom, the critical t-value is -1.895.
Since our calculated t-value (-1.63) is greater than the critical t-value (-1.895), we fail to reject the null hypothesis. In other words, we do not have sufficient evidence to conclude that the fitness program has resulted in a significant reduction in employee absenteeism.
The p-value can also be calculated using a t-distribution table or a statistical software package. Using a two-tailed test with 7 degrees of freedom and a significance level of 0.05, we obtain a p-value of 0.073. Since this p-value is greater than the significance level, we again fail to reject the null hypothesis.
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The students in Mrs. Fishers class planted seeds. Each seed was given sunlight and water. Mrs. Fisher measured one plants height each week.
* After 4 weeks, the height was 2 centimeters.
* After 7 weeks the height was 4.5 centimeters.
* After 9 weeks, the height was 6 centimeters.
A student noticed the data suggest a linear association between the height of the plant, y, in centimeters, after x weeks.
What is a reasonable value for n?
Please answer as soon as possible due in an hour. Thank you.
Answer:
-9.5.
Step-by-step explanation
To find a reasonable value for n, we need to use the given data points and the equation of the line. We can plug in any pair of x and y values into the equation and solve for m or b. For example, using (4, 2), we get:
2 = m(4) + b
Solving for b, we get:
b = 2 - 4m
Now we can plug in another pair of x and y values, such as (7, 4.5), and use the value of b we just found:
4.5 = m(7) + 2 - 4m
Solving for m, we get:
m = 0.5
Now we have the slope and the y-intercept of the line. The equation is:
y = 0.5x + 2 - 4(0.5)
Simplifying, we get:
y = -1.5x + 4
To find n, we need to plug in x = 9 and solve for y:
y = -1.5(9) + 4
y = -9.5
If the nth partial sum of a series n = 1 as it approaches infinity an is sn = 6 - n5^-n, find an and n = 1 as it approaches infinity an.
By using the partial sum of series is
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
and summation n=1 to infinity of [tex]a_{n}[/tex] is =6 .
How to find the nth term?To obtain the formula for the nth term of the series and its total, we must first discover the formula for the series' general term.
The formula for the series' nth partial sum is as follows:
[tex]sn = 6 - n*5^{-n}[/tex]
The nth term of the series can be obtained by subtracting the (n+1)th and nth partial sums, i.e.,
a = sn+1 - sn
When we substitute the formula for sn, we get:
[tex]a_{n} = [6 - (n+1)5^{(-(n+1))} ] - [6 - n5^{(-n)} ]\\a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
As a result, the formula for the series' nth term is:
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
To calculate the series total, take the limit of the nth partial sum as n approaches infinity:
lim(n->inf) lim(n->inf) sn [6 - n*5^(-n)]
lim(n->inf) [n*5(-n)] = 6
= 6 - 0
= 6
As a result, the series' sum is 6.
As a result, the formula for the nth term in the series is:
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
And the series' total is:
a = sum(n=1 to inf) = 6
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Can you prove that they are congruent? If so, explain how.
The correct statement regarding the congruence of the two triangles is given as follows:
Yes. We are two right triangles with congruent hypotenuses and a shared congruent side. The triangles are congruent by the HL Triangle Congruence Theorem.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The triangles in this problem have:
A shared side.Congruent hypotenuses.Hence, applying the Pythagorean Theorem, the missing side also has the same measure for both triangles, hence they are congruent by the HL Congruence Theorem.
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You paid $6.99 for a shirt that was 70% off; what was the original price of the shirt?
Answer:
$23.30
Step-by-step explanation:
We Know
You paid $6.99
The shirt was 70% off
$6.99 = 30%
What was the original price of the shirt?
We Take
(6.99 ÷ 30) x 100 = $23.30
So, the original price is $23.30
What is the distance between points (4, -2) and (4,4) on a coordinate plane
Answer:
The distance between points (4, -2) and (4,4) on a coordinate plane is 6 units. This is because the two points lie on the same vertical line, where the x-coordinate remains constant at 4. To find the distance between them, we simply need to subtract their y-coordinates: 4 - (-2) = 6. Therefore, the distance between the two points is 6 units.
a twenty sided fair die is rolled, with the numbers 1 through 20 on its faces. what is the probability that you will roll a number that is NOT between 4 and 12?
The probability of rolling a number that is NOT between 4 and 12 is approximately 0.55 or 55%.
What is probability?Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this occurs, we state that there is a possibility that the event will occur.
The range between 4 and 12 inclusive contains 9 numbers (4, 5, 6, 7, 8, 9, 10, 11, and 12) out of 20.
To find the probability of rolling a number that is NOT between 4 and 12, we need to find the probability of rolling one of the 11 numbers that are outside of this range.
The probability of rolling any one of these 11 numbers is 11/20, since there are 11 favorable outcomes out of 20 possible outcomes.
Therefore, the probability of rolling a number that is NOT between 4 and 12 is:
P = 11/20 ≈ 0.55
So, the probability of rolling a number that is NOT between 4 and 12 is approximately 0.55 or 55%.
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A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean
lifetime, μ, of 12 years. To test the company's claim, a competitor has selected 35 of these batteries at random. The mean
lifetime of the sample is 12.5 years. Suppose the population standard deviation of these lifetimes is known to be 3.5 years.
Is there enough evidence to reject the claim that the mean lifetime of the newest model is 12 years? Perform a hypothesis
test, using the 0.10 level of significance.
The conclusion of the given hypothesis is: we FAIL to reject the null hypothesis and conclude that there is not enough evidence to reject the claim that the mean lifetime of the newest model is 12 years
How to carry out Hypothesis Testing?The parameters given are:
Population mean: μ = 12
Sample mean: x' = 12.5
Population standard deviation; σ = 3.5
Sample size: n = 35
Let's define the hypotheses:
Null Hypothesis: H₀: μ = 12
Alternative Hypothesis: Hₐ: μ ≠ 12
Let us find the z-score from the formula:
z = (x' - μ)/(σ/√n)
z = (12.5 - 12)/(3.5/√35)
z = 0.845
The p-value from online p-value from z-score calculator using two tailed hypothesis and a significance level of 0.1 gives:
p-value = 0.398
The p-value is greater than the significance value and we FAIL to reject the null hypothesis and conclude that there is not enough evidence to reject the claim that the mean lifetime of the newest model is 12 years
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If you look up the definition of absolute in the dictionary, you’ll find several definitions. All of them reference totality, completeness, and having no limitations or dependence on anything else. The definition of the absolute value of a number is its magnitude, or distance, from zero. How do these two definitions connect?
A relationship between two definitions can be seen through the idea of magnitude or distance.
How do these two definitions connect?Finding an absolute value of a number requires us to inspect the difference between that figure and zero on a number line; this amount is always positive regardless of whether the initial number was negative or positive. To illustrate, the absolute value of -5 is 5 since there is only five units separating it from zero.
The absolute value primarily entails a totality- recognizing the entirety of someone's peculiarity independent of their direction. It serves as a method of measuring the scope or size of a number without any external parameters or assessment.
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50 points. use rotation tool in top right to flip upright.
Answer:
(a) 56%
(b) 28%
Step-by-step explanation:
Hope this helps! :)
for your land line phone service monthly bill, you pay 3¢ for each minute you use plus a $10 monthly charge. you budget yourself to spend no more than $40 on your phone bill. what is the range of minutes you can use this month?
Answer:
100 Minutes
Step-by-step explanation:
Step 1: Break it down-
3¢ can be expressed as 0.3
Step 2: Add monthly charge-
Since there is a 10$ monthly charge: 40-10=30
Step 3: Subtract-
Now divide: 30 ÷ 0.3
Step 4: Final Answer-
Hence the amount of minutes per month= 100
please help. I don't quite understand this. Approximate the area under the function between a and b using a right-hand sum with the given number of intervals
Using a right-hand sum with three intervals, the approximate area under the curve of the function f(x) = x³ between the limits of integration a=0 and b=3 is 36 square units.
What is function?Numbers and their variants, equations and related structures, forms and their arrangements, and the places where they might be found are all topics covered in mathematics. The term "function" describes the relationship between a collection of inputs, each of which has a corresponding output.
To estimate the area under the curve of the function f(x) = x3 between the limits of integration a=0 and b=3, we must divide the interval [0, 3] into three subintervals of equal width.
Each subinterval's width, x, may be calculated as follows:
Δx = (b - a) / n = (3 - 0) / 3 = 1
So, the three subintervals are:
[0, 1], [1, 2], [2, 3]
To compute the right-hand total, we evaluate the function at each subinterval's right endpoint and multiply it by the breadth of the subinterval. Then we add these products together to calculate the area under the curve. The right-hand sum may be stated mathematically as follows:
RH = Δx * [f(1) + f(2) + f(3)]
where x represents the width of each subinterval, f(x) = x3 represents the function we are integrating, and f(i) represents the function's value at the right endpoint of the i-th subinterval.
RH = 1 * [f(1) + f(2) + f(3)]
= 1 * [(1³) + (2³) + (3³)]
= 1 * [1 + 8 + 27]
= 36
Using a right-hand sum with three intervals, the approximate area under the curve of the function f(x) = x³ between the limits of integration a=0 and b=3 is 36 square units.
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A triangle has two angles with measures of 118 and 18 degrees. The side across from the 18 degree angle has a length of 8 millimeters.
Which figure represents this triangle?
The figure that represent the triangle described in the question is option (C).
Understanding TriangleTriangle is a basic geometric shape that consists of three straight sides and three angles.
We can say triangle is a polygon with three sides and three vertices, and is one of the simplest and most fundamental shapes in geometry.
Class of Triangle based on sides
Equilateral: triangle with all sides of equal lengthIsosceles: triangle with two sides of equal lengthScalene: triangle with no sides of equal lengthClass of Triangle based on their angles
Acute triangles: all angles are less than 90 degreesRight triangles: one angle is exactly 90 degreesObtuse triangles: one angle is greater than 90 degreesLearn more about triangle here:
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Which of the following equations will produce the graph shown below? A. x²/20 + y²/20 = 1 B. 20x² - 20y² = 400 C. 6x² + 6y² = 144 D. 5x² + 5y² = 80
An equation that will produce the graph shown above include the following: D. 5x² + 5y² = 80.
What is the equation of a circle?In Mathematics and Geometry, the standard form of the equation of a circle is represented by the following mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Based on the information provided above, we have the following parameters:
Radius, r = √16 = √80/5
Center, (h, k) = (0, 0).
By substituting the given parameters into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 0)² = (√80/5)²
5x² + 5y² = 80.
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at first, only 1/3 of the students who were going on the band trip were on the bus. after 21 students got on the bus 4/5 of the students who were going on the trip were on the bus. how many students were going on the band trip
The total number of students going on the band trip is 45.
how many students were going on the band trip?Let's denote the total number of students going on the band trip as "x". According to the given information:
Initially, only 1/3 of the students were on the bus, which means (1/3)x students were on the bus.
After 21 students got on the bus, the number of students on the bus increased to 4/5 of the total number of students going on the trip, which is (4/5)x students.
We can create an equation based on this information:
(1/3)x + 21 = (4/5)x
To solve for "x", we can follow these steps:
Subtract (1/3)x from both sides of the equation to isolate the "x" term on one side:
(1/3)x + 21 - (1/3)x = (4/5)x - (1/3)x
21 = (7/15)x
Multiply both sides of the equation by 15/7 to eliminate the fraction:
(15/7) * 21 = (15/7) * (7/15)x
45 = x
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5
8)
8 h
a
X5.84
Area:
Perimeter:
Туре:
30.252
X_2
60.
a = 6.3 mm h= 5.84 mm
9
30.252
Paralellogram
The area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
What is parallelogram?In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides.
The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.
There are four distinct types of parallelograms, including three distinct types.
Rhombuses, parallelograms, squares, and rectangles are the four types.
So, the given image itself tells that the given figure is a parallelogram.
The area of the given parallelogram is:
A = b*h
A = 6.3*5.84
A = 36.792 mm²
The perimeter of the given parallelogram:
P = 2(a+b)
P = 2(6.3+5.84)
P = 24.28 mm
Therefore, the area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.
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Help pls! Average winter temperatures in 45 states were recorded and divided by geographical region.
Choose True or False.
A: The mean of Region 2 is 5.8 greater than the mean of Region 1.
B: The data of Region 2 has greater variability than the data of Region 3 because the data are clustered around a greater average temperature
C: The difference of the means of Region 2 and Region 3 is about twice the MAD of Region 3
D: The average of the means of the three regions is closest to the mean of Region 3
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The correct answer is a. True, b. False, c. True, d. True
How to find the mean of regions?The mean of Region 1 is 31+ (32+33+34)×3+35×4+36/15 = 33.6°CThe mean of Region 2 is 36+ 37+ 2x38+ (39+41)x3 +40x4+42/15 = 39.4°C
(The mean = all temperature of region divided by the number of states )
So, 39.4- 33.6 = 5.8 True
The data of Region 2 is more concentrated, So its variability is weaker than Region 3.So False (variability is comparing the density)
The mean of Region 3 is (32+ 2x (34+35+37+38)+ 36x3+ 39+ 40] ÷15 = 33.8°CThe difference is 39.4 - 33.8= 5.6
The MAD of Region 3 is (32 - 33.8) +2 x (34 -33.8) + 2x (35 - 33.8) + 4x (36-33.8) + 2x (37-33.8) + 2x (38-33.8) + (39-33.8) + (40-33.8) ÷ 15 = 2.64
2-64 × 2 = 5.28, so true
The average of mean is 33.6+ 39.4+ 33.8/3 = 35.633.8 is closest to 35.6, so true.
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please answer and explain how to get it.
The value of x is given as follows:
x = 21 cm.
How to obtain the value of x?The value of x is obtained applying the proportions in the context of the problem.
The ratio between the volumes is given as follows:
2430/90 = 27.
The side lengths are measured in units, while the volume is measured in cubic units, hence the proportion to obtain the value of x is given as follows:
x/7 = cubic root of 27
x/7 = 3
x = 21.
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A six sided dice is rolled. What is the probability of rolling a number greater than 2?
The probability of rolling a number greater than 2 is 2/3
Calculating the probability of rolling a number greater than 2?From the question, we have the following parameters that can be used in our computation:
Rolling a number cube once
Using the above as a guide, we have the following:
Sample space, S = {1, 2, 3, 4, 5, 6}
In the above sample space, we have
Outcomes greater than 2 = {3, 4, 5, 6}
So, we have
P(greater than 2) = n(Outcomes greater than 2)/n(Sample space)
Substitute the known values in the above equation, so, we have the following representation
P(greater than 2) = 4/6
When evaluated, we have
P(greater than 2) = 2/3
Hence, the probability is 2/3
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Compare and contrast the direct write-off method and the allowance method for bad debts.
At a minimum, please consider the following in your answer:
When is the expense for uncollected accounts receivable recognized under each method?
Why is the direct write-off method not considered to follow generally accepted accounting
The direct write-off method and the allowance method are two different ways of accounting for uncollectible accounts receivable.
How do we explain?When an account is found to be uncollectible, the direct write-off method records the expense for uncollected accounts receivable. This approach involves simply writing off the uncollectible account as a bad debt expense and deducting the outstanding quantity from the accounts receivable total.
Despite being quite easy to understand and basic, this method does not adhere to generally accepted accounting principles (GAAP) because it does not match expenses to the time period during which income was generated.
In contrast, the allowance approach establishes an allowance for doubtful accounts contra-asset account and estimates the amount of uncollectible accounts before recognizing the expense for uncollected accounts receivable.
This allowance account is used to lower the balance of accounts receivable to the anticipated amount of collection. Instead of when the account is found to be uncollectible, the expense is recognized at the time the estimate is made. Because it matches the expense to the time period in which the revenue was received, this method is thought to be more accurate than the direct write-off method.
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2 ¿Qué figura tiene exactamente 2 ejes de simetría? F G H J K
The figure given that has exactly two lines of symmetry is C. Rectangle.
How many lines of symmetry does a rectangle have ?A rectangle has two lines of symmetry.
A line of symmetry is a line that divides a shape into two equal parts that are mirror images of each other. In a rectangle, the two lines of symmetry run through the center of the rectangle, dividing it into two congruent halves. These lines of symmetry are perpendicular to each other and bisect both pairs of opposite sides of the rectangle.
Therefore, a rectangle has two lines of symmetry, one horizontal and one vertical, which make it a symmetrical shape.
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Directions: Compute the number of board feet of lumber with the following dimensions.
1. 4"x 8"x 12"
2. 3"x 2"x 10"
3. 2" x 4" x 12"
4. 2" x 2" x 8"
5. 4" x 4" x 10"
Answer:
4.) 32 answer
Step-by-step explanation:
2×2 is 4
4× 8 is 32
3 tons of bark cost $23,640.00. What is the price per pound?
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3. What is the perimeter of a yard with length = 4x+6/2x+1 feet and width = x-3/2x+1 feet?
10x+6/2x+1 Feet
5x+3/4x+2 Feet
10x+6/4x+2 Feet
5x+3/2x+1 Feet