Answer:
x=5 and LN= 30, MP= 40
Step-by-step explanation:
Add like terms to both sides of the equation and you will get your answer
Conrad is reading a blue print to make a shed. On the blue print, the length of the shed is 12 inches and the ramp attached to the shed is 1 inch. He wants to convert the total length of the shed and ramp from inches to yards. Select all of the expressions which correctly show how to convert the length of the shed and ramp from inches to yards using the ratio 36 inches to 1 yard.
To convert inches to yards, we need to divide by 36, since 36 inches make 1 yard. Therefore, to convert the length of the shed and ramp from inches to yards, we can use the following expressions: (12 + 1) / 36 = 0.3611... yards, (12 / 36) + (1 / 36) = 0.3611... yards, 13 / 36 = 0.3611... yards
What are expressions?An expression in mathematics is a grouping of variables, numbers, and actions that can be evaluated to yield a value. A wide range of mathematical notions, from basic arithmetic computations to intricate algebraic formulas and beyond, are represented by expressions.
These components can be used to combine expressions in a wide range of different ways. For instance, we can construct straightforward arithmetic phrases such as "2 + 3" or "5 * 4" or more intricate algebraic expressions such as "3x2 + 2x + 1" or "sin(x) + cos(x)". In each instance, the expression denotes a mathematical idea that may be tested to provide a certain value.
Expressions play a significant role in mathematics and are utilized in a wide range of fields in science, engineering, and finance. By being aware of how expressions work, we can better understand and solve a wide variety of mathematical problems.
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PLS HELP
Matt released his new game app, Serpent of the Sphinx, and it received 548 downloads the first week. He expects the number of weekly downloads to increase by about 4% each week. You can use a function to approximate the number of weekly downloads x weeks after the release date.
Write an equation for the function. If it is linear, write it in the form h(x)=mx+b. If it is exponential, write it in the form h(x)=a(b)x.
The number of weekly downloads can be modeled using an exponential function h(x) = 548 × 1.04ˣ.
What is exponential function?
An exponential function is a mathematical function in which the value of the output is proportional to the value of a fixed number (known as the base) raised to the power of the input value. The general form of an exponential function is:
y = abˣ
where a and b are constants, x is the input value, and y is the output value. The constant a controls the vertical scaling of the function, while the constant b controls the rate of growth or decay. If b is greater than 1, the function grows rapidly as x increases. If 0 < b < 1, the function decays as x increases. If b is equal to 1, the function is a linear function.
Exponential functions are widely used in many fields, including finance, biology, physics, and engineering, to model growth and decay processes.
The number of weekly downloads can be modeled using an exponential function.
h(x) = 548 * 1.04ˣ
where x is the number of weeks after the release date, h(x) is the estimated number of weekly downloads, and 1.04 is the growth factor (1 + the expected weekly increase of 4%).
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10p - 3p/4- 2 +5 when p= 10
The value of 10p - 3p/4- 2 +5 for p=10 is 95.5.
What is Solution of Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given:
We have 10p - 3p/4- 2 +5.
Now put the value of p =10 we get
= 10p - 3p/4- 2 +5
= 10(10) - 3(10)/4- 2 +5
= 100 - 30/4 -2 + 5
= 100 -7.5 -2 +5
= 95.5
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GIVING BRAINLIEST
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which of the following lists the range and IQR for this data?
The range is 12, and the IQR is 5.
The range is 12, and the IQR is 10.
The range is 5, and the IQR is 12.
The range is 5, and the IQR is 10.
Answer: D Im doing the quiz
Answer:D:the range is 5, and the IQR is 10.
Step-by-step explanation:
A 10% antifreeze solution is to be mixed with a 70% antifreeze solution to get 6 liters of a 20% solution. How many liters
of the 10% and how many liters of the 70% solutions will be used?
Liters of 10% solution =
Liters of 70% solution=
Liters of 10% solution = 1 liters
Liters of 70% solution = 5 liters
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x +3 = 8 is an equation.
We have,
10% solution = x
70% solution = y
Now,
A 10% antifreeze solution is to be mixed with a 70% antifreeze solution to get 6 liters of a 20% solution.
This means,
We can make two equations.
0.10x + 0.70y = 6 x 0.20
0.10x + 0.70y = 1.2 ______(1)
x + y = 6 ______(2)
Solve for x and y.
From (2),
x = 6 - y
Substituting in (1) we get,
0.10x + 0.70y = 1.2
0.10 (6 - y) + 0.70y = 1.2
0.6 - 0.10y + 0.70y = 1.2
0.6 + 0.60y = 1.2
0.60y = 1.2 - 0.6
0.60y = 0.6
y = 1
And,
x = 6 - y
x = 6 - 1
x = 5
Thus,
10% solution = 1 liter
70% solution = 5 liters
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Analyze the relationship in this table, and look for a pattern that relates x and f(x)
Part A
Identify the function type that could represent the data in the table. Explain your reasoning.
Type your response in the box.
A quadratic function could represent the data in the table, as the increase rate decreases as x increases, meaning that the function could be approaching it's vertex.
How to classify the function?Traditionally, functions are classified as either linear or exponential, as follows:
Linear: constant increase.Exponent: multiplicative increase.As there is not a constant neither a multiplicative rate of change for the table, the function is neither linear nor exponential.
Considering that from x = 1 to x = 4 the rate of change is of 4/3, while from x = 16 to x = 25 the rate of change is of 4/9, that is, the increase rate decreases as x increases, the function is classified as a quadratic function.
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Your friend wants to write code for Linux computer systems and says, “Why do I need to install Linux? I never open it and use it the way I do my browser.” How would you explain to your friend the difference between an operating system like Linux and an application like their web browser? In your answer, discuss how both Linux and at least one other operating system function, comparing those to an application like a browser.
Answer:
That's not math. Please classify your question correctly.
Mary is driving at 60 mph. She decreases her speed by 5 mph every second. Which signed number
represents the change in her speed after 5 seconds?
Answer:
35 mph
Step-by-step explanation:
5×5=25
60-25=35.
The home range, in hectares, of a carnivorous mammal weighing w grams can be approximated by H(w)= 0.11w^1.36
2. Rence and Sunil each shot 4 arrows at the target shown. Renee shot 3 arrows into A and I into B. Her score was 19. Sunil shot 2 into A and 2 into B. His score was 22. How many points were given for an arrow in B?
Using a system of equations, the number of points given for an arrow in target B is 7.
What is a system of equations?A system of equations means two or more equations solved at the same time or concurrently.
A system of equations is also described as simultaneous equations since they are solved simultaneously.
Target A Target B Total Score
Rence shots 3 1 19
Sunil shots 2 2 22
Let the points for an arrow into target A = x
Let the points for an arrow into target B = y
Equations:3x + y = 19 ... Equation 1
2x + 2y = 22 ... Equation 2
Multiply Equation 1 by 2:
6x + 2y = 38 ... Equation 3
Subtract Equation 2 from Equation 3:
6x + 2y = 38
-
2x + 2y = 22
4x = 16
x = 4
From Equation 1, substitute x = 4:
3x + y = 19
3(4) + y = 19
12 + y = 19
y = 19 -12
y = 7
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Graph the following points on the coordinate plane. Find the measure of ∠ACB
to the nearest tenth.
A (-3, 2), B (0, 0), C (2, 3)
The measure of angle ∠ACB is 45 degrees
How to find the measure of ∠ACBFrom the question, we have the following parameters that can be used in our computation:
A (-3, 2), B (0, 0), C (2, 3)
The graph is attached
The lines AB and BC are perpendicular lines
This means that
∠B = 90 degrees
Calculate the length AB and BC using
distance = √[(x2 - x1)² + (y2 - y1)²]
So, we have
AB = √[(-3 - 0)² + (2 - 0)²] = √13
BC = √[(0 - 2)² + (0 - 3)²] = √13
The angle C is then calculated as
tan(C) = AB/BC
tan(C) = √13/√13
tan(C) = 1
Take the arctan of both sides
C = 45
Hence, the measure of ∠ACB is 45 degrees
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The inequalities 3x<1 and 6x<2 are equivalent inequalities. Write another inequality that is equivalent to 3x<1 and 6x<2.
One inequality that is equivalent to 3x<1 and 6x<2 is 3x<1/2.
To see why this is true, we can divide both sides of the second inequality by 2, which gives 3x<1/3. However, we want an inequality that is equivalent to both 3x<1 and 6x<2, so we need to find a common solution.
Notice that if 3x<1, then x<1/3. And if 6x<2, then x<1/3 as well (since 1/3 is less than 2/6). Therefore, the intersection of the solutions for these two inequalities is x<1/3.
But we want an inequality in the form of 3x<a, where a is some constant. To find this value, we need to solve for x in the intersection of the two solutions:
x<1/3
Multiplying both sides by 3 gives:
3x<1
So we can choose a=1/2, which gives us the final inequality:
3x<1/2
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If sec 0 = √2, find 0 and identify all angles 0° < 0 < 360° that are co-terminal with the
given angle.
In the trigonometry relation the value of θ is 45 degrees and the coterminal angle between 0° < θ < 360° is 315 degrees
How to find conterminal of the angleCoterminal angles are angles that have the same terminal side in a given circle. They are angles that differ by a multiple of 360 degrees.
In other words, if two angles are coterminal, they have the same trigonometric functions, despite having different degrees.
If sec θ = √2
θ = arc sec (√2)
θ = arc cos (1/√2))
θ = 45 degrees
coterminal of angle 45 degrees between 0° < θ < 360°
360 - 45 = 315.
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Isaac made all these rectangles with 24cm lengths of string. This implies that the perimeter of all these rectangles are equal. What do you observe about the sun of the length and the width, give a reason for your answer?
Answer: Since the perimeter of all the rectangles is equal (24 cm), the sum of the length and width of each rectangle must be equal for each rectangle. This is because the perimeter of a rectangle is equal to the sum of its lengths plus the sum of its widths, multiplied by 2.
For example, if the length of one rectangle is "l" cm and its width is "w" cm, then its perimeter would be 2l + 2w = 24 cm.
So, in general, we can write the equation: l + w = P/2, where P is the perimeter of the rectangle (in this case, P = 24 cm).
Therefore, the sum of the length and width of each rectangle is equal and constant, regardless of the individual values of the length and width. This means that as the length of a rectangle increases, its width must decrease by an equal amount to keep the sum constant. And vice versa.
In conclusion, the sum of the length and width of each rectangle is equal, and it is equal to half of the perimeter of the rectangle.
Step-by-step explanation:
A large company is considering installing charging stations for electric cars in their company
parking lots. Suppose that 1.5% of employees at the main office have electric cars and 2% of
employees at the branch office have electric cars.
The company wonders whether there is greater need for the stations at the main office. They
plan to take separate random samples of 100 employees from the main office and 50 employees
from a branch office. Then they will look at the difference in the sample proportions (PM-PB).
What will be the shape of the sampling distribution of PM - PB, and why?
The sample distribution of (PM-PB) will not be normal, because w expect fewer than 10 electric cars in both samples.
What is a population and sample?There are two types of data sets are collected for the research. They are population and sample. Population includes all the elements from the data set. Sample is a part of population.
The company planned to take survey from the employees from both the main office and the branch office.
For this, the company took 100 employees from main office and 50 employees from a branch office.
We expect at least 10 successes and at least 10 failures in both samples, then the sampling distribution of [tex]p_{1 }and p_{2}[/tex] will be approximately normal.[tex]n_{1}p_{1}\ge 10 and n_1(1-p_1)\ge10[/tex]
[tex]n_{2}p_{2}\ge 10 and n_2(1-p_2)\ge10[/tex]
Let [tex]x_{1} and x_2[/tex] denotes the number of persons in the sample.
[tex]x_{1} =100\\n_{2} =50[/tex]
Also given 1.5% of employees at the main office have electric cars and 2% of employees at the branch office have electric cars.
so, [tex]p_{1}=0.015, p_{2}=0.02[/tex]
Combining this values we have,
[tex]n_1p_1=100(0.015)=1.5\le10[/tex] and
[tex]n_1(1-p_1)=100(1-0.015)=98.5 > 10[/tex]
Similarly, [tex]n_2p_2=50(0.02)=1\le10[/tex] and
[tex]n_2(1-p_1)=50(1-0.02)=49\ge10[/tex]
Hence, the sample distribution of PM-PB will not be normal, because w expect fewer than 10 electric cars in both samples.
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Convert the complex number 2√2(cos 135° + i sin 135°) into rectangular
(standard) form. Express your answer in simplest radical form.
The solution to the complex number in rectangular form is; -2 + 2i
How to express complex number in rectangular form?The complex number is given as;
2√2(cos 135° + i sin 135°)
The standard form is a + bi.
The value of cos 135° is; -(√2)/2
The value of sin 135° is; (√2)/2
Plugging these values into the given equation is;
2√2(-(√2)/2 + ((√2)/2)i)
Expanding the bracket gives;
-2 + 2i
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Figure ABCD is a kite.
Find the value of x.
A
X =
= [?]
14x - 22
H
B
C
The value of x is equal to 8, in the equation 14x -22.
What is equation?An equation is a mathematical statement consisting of two expressions joined by an equal sign.
Solution:
The diagonals of the dragon intersect at right angles. This gives a solvable relationship for x.
setting the displayed dimensions correspond to 90° angular dimensions.
14x -22 = 90
You can solve this two-level linear equation in the usual way.
14x = 112. . . . . . Step 1, add the reciprocal of the constant to get just x
x = 112/14 = 8 . . . Step 2, divide by the factor of x
Hence, the value of x is 8.
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Can someone please help me with this question please
Answer:
77.5°
Step-by-step explanation:
You want the measures of the angles formed when ray OX bisects the 155° angle AOB.
BisectorThe angle bisector creates two equal angles, each of which is half the measure of the original angle. The measures of the angles formed are ...
155°/2 = 77.5°
Solve the equation. 15 - 2x = -4(x + 1) + 9
PLEASE GIVE BRAINLIEST!
thank you and have a good day :)
Answer:
x = -5
Step-by-step explanation:
15 - 2x = -4(x+1) + 9
-4(x+1) can be distributed and simplified to -4x - 4
15 - 2x = -4x - 4 + 9
15 - 2x = -4x +5
-2x + 4x = 5 - 15
2x = -10
x = -5
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
Given
[tex]15-2x=-4(x+1)+9[/tex]
Simplify the right side by applying the distributive property.
[tex]15-2x=(-4*x)+(-4*1)+9[/tex]
[tex]15-2x=-4x-4+9[/tex]
Add [tex]-4[/tex] and 9.
[tex]15-2x=-4x+5[/tex]
Add [tex]4x[/tex] to both sides of the equation.
[tex]15-2x+4x=5[/tex]
Add [tex]-2x[/tex] and [tex]4x[/tex].
[tex]15+2x=5[/tex]
Subtract [tex]15[/tex] from both sides of the equation.
[tex]2x=-10[/tex]
Divide both sides of the equation by [tex]2[/tex].
[tex]x=-5[/tex]
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3x + 3xy + 4x +2xy combine like term
Answer:
the final answer is 7x + 5xy.
Step-by-step explanation:
3x + 4x = 7x
3xy + 2xy = 5xy
So, the final answer is 7x + 5xy.
Answer:
5xy+7x
Step-by-step explanation:
You see which ones have the same exact variables (x or xy)
Then you add the ones with the same variables together.
3x+4x=7x
3xy+2xy = 5xy
5xy+7x
(Depending on your teacher, they may not have to be in this order)
Triangle adb, point c lies on segment ab and forms segment cd, angle acd measures 90 degrees. Point a is labeled jungle gym and point b is labeled monkey bars. Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If beth places the swings at point d, how could she prove that point d is equidistant from the jungle gym and monkey bars?.
To prove that point d is equidistant from the jungle gym and monkey bars, we need to show that the distances from d to both points are equal.
Let's call the distance from d to the jungle gym "x" and the distance from d to the monkey bars "y". We need to show that x = y.
Since angle acd is a right angle, we can use the Pythagorean theorem to relate the distances:
ad^2 + cd^2 = ac^2
We know that ad = bd (since the jungle gym and monkey bars are the same distance from d), so we can write:
bd^2 + cd^2 = ac^2
We also know that c lies on ab, so we can write:
ac = ab - bc
Substituting this into our equation, we get:
bd^2 + cd^2 = ab^2 - 2abbc + bc^2
Since d is on cd, we can write cd = y, and since c is on ab, we can write ab = x + y. Substituting these into our equation, we get:
bd^2 + y^2 = (x + y)^2 - 2xy + x^2
Simplifying, we get:
bd^2 - x^2 = 2xy - y^2
Now, if we can show that bd = x, then we will have proven that y = x and therefore that point d is equidistant from the jungle gym and monkey bars.
To do this, we can use the fact that triangle adb is isosceles (since ad = bd). This means that angle adb is equal to angle bad. We also know that angle acd is a right angle. Therefore, angle adb + angle acd = 90 degrees.
Since angle adb = angle bad, we can write:
2 angle adb + angle acd = 180 degrees
Substituting in the values of our angles, we get:
2 angle adb + 90 degrees = 180 degrees
Solving for angle adb, we get:
angle adb = 45 degrees
Now, we can use the fact that triangle adb is isosceles to write:
angle bad = (180 - 45)/2 = 67.5 degrees
Finally, we can use the law of sines to relate bd and x:
bd/sin(67.5) = x/sin(45)
Simplifying, we get:
bd = x
Therefore, we have shown that point d is equidistant from the jungle gym and monkey bars.
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decimal of 3\4 and percent
Equivalence means to be same, whether it be value, temperature, size, etc.
First, let's convert [tex]\frac{3}{4}[/tex] into a different fraction.
[tex]\frac{3}{4}[/tex] = [tex]\frac{75}{100}[/tex]We know this because each side of the fraction [tex]\frac{3}{4}[/tex] can be multiplied by 25 to get [tex]\frac{75}{100}[/tex].
3 × 25 = 754 × 25 = 100Now that we know this, we can convert the fraction [tex]\frac{75}{100}[/tex] into a percentage.
What is a percentage?A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
if we know that percentages are expressed as a fraction of 100, we know that [tex]\frac{75}{100}[/tex] is equal to %75.
To convert percentages into decimals, we can just take the percentage (%75) and fit it into 0.00, making it 0.75.
Therefore, the fraction [tex]\frac{3}{4}[/tex] as a percentage is %75, and as a decimal it is 0.75.
The polynomial function f(x) = x³ - 4x²-3x + 18 has (x+2) as one of its linear factors. Use long division to find the other linear factors.
Separate multiple factors with a comma. If there are any repeated factors, only write them once.
The complete factorization of the polynomial function f(x) = x³ - 4x² - 3x + 18 is (x + 2)(x - 22).
What is a polynomial ?
A polynomial is a mathematical expression involving a sum of powers in one or more variables (indeterminates) multiplied by coefficients.
where n is a non-negative integer (the degree of the polynomial), x is the variable, and (the coefficients of the polynomial). The highest power of x in the expression is n, and this term is called the leading term. The coefficient of the leading term, a_n, is called the leading coefficient.
To find the other linear factors of the polynomial function f(x) = x³ - 4x² - 3x + 18, we can use long division by dividing the polynomial function by (x + 2).
Here's how the long division would look like:
x³ - 4x² - 3x + 18
÷ x + 2
__________________________
x² - 6x - 20
÷ x + 2
__________________________
x - 22
÷ x + 2
__________________________
-20
here -20 is the remainder.
The complete factorization of the polynomial function f(x) = x³ - 4x² - 3x + 18 is (x + 2)(x - 22).
So, the other linear factors are x - 22.
Therefore, The complete factorization of the polynomial function f(x) = x³ - 4x² - 3x + 18 is (x + 2)(x - 22).
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A grocer has 15 apples some pears and some oranges.There are 9 more apples than pears and three times as many oranges as many pears .Find the ratio of the no. of apple to the no. of oranges he has?
Answer:
15:18
Step-by-step explanation:
So, to say 9 more apples than pears means that 15-9 = 6. Now 3 times of 6 (pears) is 6*3= 18.
Write it in ratio is 15:18!
hope this helped!
Find the volume to each equation
(Directions listed above questions)
The volume of the cube is 444.19 in³
The volume of the rectangular prism is 661.2 ft³
The volume of the triangular prism is 30.04 yd³
The volume of the cylinder is 380.57 km³
How to find the volumeVolume of a cube is solved using the formula
= length³
= 7.63³
= 444.19 in³
Volume of a rectangular prism is solved using the formula
= Area of base * height
= 9.5 * 8.7 * 8
= 661.2 ft³
Volume of a triangular prism is solved using the formula
= 1/2 × base × height × length
= 1/2 * 5.84 * 3.08 * 3.34
= 30.04 yd³
Volume of a cylinder is solved using the formula
= π * radius² * height
= π * 3² * 13.46
= 380.57 km³
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If X and Y are independent and identically distributed uniform random variables on (0, 1), compute the joint density of
(a) U = X + Y, V = X/Y
(b) U = X, V = X/Y
(c) U = X + Y, V = X/(X+Y)
If X and Y are independent and identically distributed uniform random variables on (0, 1), then the joint density of
(a) U = X + Y, V = X/Y is u/v² for v > 1 and 0 ≤ u ≤ 1.
(b) U = X, V = X/Y is 1/v for v > 1 and 0 ≤ u ≤ 1.
(c) U = X + Y, V = X/(X+Y) is v/(1+v)² for v > 0 and v/(1+v) ≤ u ≤ 1.
In probability theory, joint density is a mathematical function that describes the probability distribution of two or more random variables. It represents the probability of occurrence of different values of those variables in a particular region of space. In this problem, we have to calculate the joint density of U and V, where U and V are functions of X and Y.
(a) For U = X + Y and V = X/Y, we can find the joint density as follows:
First, we need to find the distribution of U and V separately. Since X and Y are independent and identically distributed uniform random variables on (0, 1), their individual probability density functions are f(x) = 1 for 0 ≤ x ≤ 1.
To find the density of U, we can use the convolution formula, which states that the density of the sum of two independent random variables is the convolution of their individual densities. Thus,
fU(u) = ∫ fX(u - y)fY(y) dy
= ∫ 1 dy
= u for 0 ≤ u ≤ 1.
Next, to find the density of V, we need to transform X and Y using the change of variables formula. Let Z = X/Y, then
fV(v) = fZ(z)|dz/dv|
= fX(vz)/(z²) |z|
= 1/(v²) for v > 1.
Therefore, the joint density of U and V is given by the product of their individual densities:
fUV(u,v) = fU(u) fV(v)
= u/v² for v > 1 and 0 ≤ u ≤ 1.
(b) For U = X and V = X/Y, we can similarly find the joint density as:
fUV(u,v) = fX(u) fV(v)
= 1/v for v > 1 and 0 ≤ u ≤ 1.
(c) For U = X + Y and V = X/(X+Y), we can use the same method as in (a) to find the individual densities of U and V:
fU(u) = u for 0 ≤ u ≤ 1,
fV(v) = v/(1+v)² for v > 0.
Then, the joint density of U and V is given by:
fUV(u,v) = fU(u) fV(v) |du/dx|
= v/(1+v)² for v > 0 and v/(1+v) ≤ u ≤ 1.
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Solve for x with the given measures
At December 31, Hawke Company reports the following results for its calendar year.
Cash sales $ 160,000
Credit Sales $ 400,000
In addition, its unadjusted trial balance includes the following items.
Accounts receivable $ 120,000 debit
Allowance for doubtful accounts $ 1,400 debit
Bad debts are estimated to be 2% of credit sales. Show how Accounts Receivable and the Allowance for Doubtful Accounts appear
on its December 31 balance sheet.
Current Assets:
Accounts receivable $120,000
Less: Allowance for doubtful accounts $???
Answer:
To determine the balance in the Allowance for Doubtful Accounts on December 31, we first need to estimate the bad debts based on the credit sales.
Bad debts = 2% of credit sales = 2% * $400,000 = $8,000
The balance in the Allowance for Doubtful Accounts would then be equal to the estimated bad debts, which is $8,000.
Therefore, the Accounts Receivable and the Allowance for Doubtful Accounts would appear on the December 31 balance sheet as follows:
Current Assets:
Accounts receivable $120,000
Less: Allowance for doubtful accounts $8,000
Net accounts receivable $112,000
A boat has a top speed of 26 knots and a displacement of approximately 93,000 tons. Express the top speed in miles per hour and the displacement in metric tons
The boat's displacement is approximately 84,016.8 metric tons.
How to convert from knots to miles?To convert the boat's top speed from knots to miles per hour, we can use the conversion factor of 1.15078 miles per hour per knot:
26 knots × 1.15078 miles per hour per knot = 29.86 miles per hour (rounded to two decimal places)
Therefore, the boat's top speed is approximately 29.86 miles per hour.
To convert the boat's displacement from tons to metric tons, we can use the conversion factor of 0.907185 metric tons per ton:
93,000 tons × 0.907185 metric tons per ton = 84,016.8 metric tons (rounded to one decimal place)
Therefore, the boat's displacement is approximately 84,016.8 metric tons.
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Tarzan loaded 14 trucks every 35 minutes. At that rate how long in minutes will it take to load 8 trucks
