When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.
If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.
When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,
The accounting treatment typically involves two steps:
Recognition on Receipt:
The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.
This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.
The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).
Classification as a "Contribution to be Transferred":
The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.
This classification reflects that the entity intends to pass the gift along to another charitable entity
and that the funds are not restricted for use within the recipient organization.
If the donor retains the right to revoke or redirect the gift,
The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.
Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").
Accounting for contributions with donor-imposed restrictions can be complex,
and the specific treatment will depend on the terms of the gift and applicable accounting standards.
It's essential for the not-for-profit organization to consult with its accountants
or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.
Also, it's important to note that accounting standards and regulations may vary across different countries or regions,
so organizations should adhere to the accounting principles applicable in their specific jurisdiction.
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prove that the number of prime numbers less than or equal to x is asymptotic to x/ln(x) as x approaches infinity.
Π(x) is asymptotic to x/ln(x) as x approaches infinity.
The prime counting function (denoted as Π(x)) is the number of prime numbers less than or equal to x. The prime number theorem states that Π(x) is asymptotic to x/ln(x) as x approaches infinity. This can be conceptually seen in the graph of Π(x) and x/ln(x), which converges as x increases.
Formally, the prime number theorem states that:
lim x→∞ Π(x)/(x/ln(x)) = 1
This can be shown by the following calculation:
lim x→∞ Π(x)/(x/ln(x))
= lim x→∞ Π(x) ln(x)/x
= lim x→∞ 1/x Σ ln(p)/p
= lim x→∞ 1/x Σ 1/p
= lim x→∞ 1/x ln(x)
= 1
Therefore, Π(x) is asymptotic to x/ln(x) as x approaches infinity.
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Darnell and Ebony each use 12 cups of pineapple juice to make fruit punch. Who will make more punch? How much more?
Answer: I'm sorry this question cannot be answered because of the lack of information, please resubmit your question with a picture of the page.
Step-by-step explanation:
A line contains the points (1, 1) and (3, 9). What is the equation of the line? Must be solved algebraically.
Answer:
the equation of the line that contains the points (1, 1) and (3, 9) is y = 4x + 3.
Step-by-step explanation:
To find the equation of the line that contains the points (1, 1) and (3, 9), we can use the slope-point form of the equation of a line, which is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are any other points on the line.
We can use the first point (1, 1) and the slope of the line to find the equation of the line:
m = (9 - 1) / (3 - 1) = 4
y - 1 = 4(x - 1)
y = 4x + 3
So, the equation of the line that contains the points (1, 1) and (3, 9) is y = 4x + 3.
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 45% salt and Solution B is
95% salt. She wants to obtain 90 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
She uses 27 ounces of solution A and 63 ounces of Solution B.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Solution A is 45% salt and Solution B is 95% salt.
Let x be the number of ounces of Solution A
and y be the number of ounces of Solution B
as, She wants to obtain 90 ounces of a mixture then
x + y = 90
y = 90 - x.........(1)
and, 0.45x + 0.95y = 0.80( 90)
0.45x + 0.95y = 72
Put the value of y from equation (1) we get
0.45x + 0.95( 90-x)= 72
0.45x + 85.5 - 0.95x = 72
0.5x = 13.5
x= 27 ounces
and, y= 90-27 = 63 ounces.
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similar fraction to one and one fifth
The similar fractions to [tex]1\frac{1}{5}[/tex] are 12/10, 18/15, 24/20, 30/25, 36/30 etc
What is fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given that, a fraction, [tex]1\frac{1}{5}[/tex]
Converting into improper fraction,
[tex]1\frac{1}{5}[/tex] = 6/5
So, similar fraction to 6/5 are,
12/10, 18/15, 24/20, 30/25, 36/30 etc
Hence, the similar fractions to [tex]1\frac{1}{5}[/tex] are 12/10, 18/15, 24/20, 30/25, 36/30 etc
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Use finite differences to identify the degree of the polynomial that best describes the data.
quintic
quadratic
cubic
quartic
The degree of the polynomial that best describes the data is (c) cubic
How to determine the degree of the polynomial that best describes the data.From the question, we have the following parameters that can be used in our computation:
See attachment
Find the first dfference D1 between the consecutive y-values
D1: 10 28.4 56.4 94
Calculate the second difference
D1: 18.4 28 37.6
Calculate the third difference
D3: 9.6 9.6
The third difference are equal
Hence, the degree is (c) cubic
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gcf for z(y+5)-3(y+5)
The GCF of the two expressions is (y + 5).
How can we prove it ?The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of each of the expressions. To find the GCF of two expressions, we need to factor out the common factors from each expression.
Given expressions: z(y + 5) - 3(y + 5)
We can start by factoring out (y + 5) from both terms:
z(y + 5) - 3(y + 5) = (y + 5)(z - 3)
So, the GCF of the two expressions is (y + 5).
What is GCF?The greatest common factor (GCF) is the largest positive integer that is a factor of two or more numbers. It is a useful concept in mathematics, especially in the study of numbers and their properties. The GCF helps us simplify expressions by cancelling out common factors and reducing the complexity of expressions. For example, the GCF of 12 and 18 is 6, meaning that 6 is the largest number that is a factor of both 12 and 18. To find the GCF, we can use prime factorization to identify the common factors and then multiply those factors to obtain the GCF.
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In the number 240.149, how does the value of the 4 in the hundredths place compare to the value of the 4 in the tens place?
Drag and drop a fraction into the box to correctly complete the statement.
The value of the 4 in the hundredths place is (Response area) the value of the 4 in the tens place.
In the number 240.149, how does the value of the 4 in the hundredths place compare to the value of the 4 in the tens place, is ,the correct option is 1/1000.
What is place value?Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.
The number 42,316 is different from 61,432 because the digits are in different positions.
here,, we have,
i) the 4 in the hundredths place will give us the value 0.04 = 4/100
ii) the value of 4 in the tens place gives us the value = 4 × 10 = 40
iii) to compare the value of 4 in the hundredths place to the value of 4 in the tens place we divide the value obtained in i) by the value obtained in ii).
Therefore we get the value of the comparison as = (4/100)/40
=1/1000
Therefore the correct option is 1/1000.
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Jen is packing a box for her brother at college. The package must weigh less than 12 pounds. The table shows the weight of items she has already placed in the box.
She has the following items she wants to pack: a sweatshirt that weighs 1.25 pounds, a package of socks that weighs 1.2 pounds, and a book that weighs 0.75 pound. Jen places one more item in the box. Which of the items could she send?
Jen could send the ______________.
Jen could send either a package of socks or the book.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
The table shows the items with weights which are already packed.
Total weight of the items already packed = 5.2 + 1.25 + 2.05 + 2.25
= 10.75 pounds
But it is given that, package must weight less than 12 pounds.
Weight of the item that is being added must be less than weight = 12 - 10.75 = 1.25
Weight of sweatshirt is 1.25 pounds, so it can't be placed.
She could place either package of socks or book.
Hence Jen could any one of the following : a package of socks or book.
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Worth 25 points! Pls show work on both questions inside of the picture.
The area of the composite figure is equal to 54 square inches and the perimeter is 35 inches.
How to calculate for the area and perimeter of the figureThe composite figure is made up of a trapezium and a rectangle, so we shall calculate for the areas of the two figures and then add the result to get the total area of the composite figure as follows:
area of the trapezium = [(9 + 12)/2] in × 4 in
area of the trapezium = (21/2) in × 4 in
area of the trapezium = 21 in × 2 in
area of the trapezium = 42 in²
area of the rectangle = 4 in × 3 in
area of the rectangle = 12 in²
total area of the composite figure = 42 in² + 12 in²
total area of the composite figure = 52 in²
perimeter of the composite figure = 12 + 4 + 5 + 3 + 4 + 7
perimeter of the composite figure = 35 in²
Therefore, the area of the composite figure is equal to 54 square inches and the perimeter is 35 inches.
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The area and the perimeter of the composite figure are 54 square inches and 35 inches, respectively.
How to determine the area and perimeter of the composite figure
In this problem we find the case of a composite figure, whose area and perimeter (p), in inches, should be found. Perimeter is the sum of all side lengths of the figure, while the area is the sum of areas of rectangles and triangles, whose formulas are listed below:
Rectangle
A = w · l
Triangle
A = 0.5 · w · l
Where:
A - Area, in square inches.w - Width, in inches. l - Length, in inches.First, determine the perimeter of the composite figure:
p = 12 in + 4 in + 5 in + 3 in + 4 in + 7 in
p = 35 in
Second, determine the area of the composite figure:
A = 0.5 · (4 in) · (3 in) + (9 in) · (4 in) + (4 in) · (3 in)
A = 6 in² + 36 in² + 12 in²
A = 54 in²
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PLSSS HELP I LITERALLY HAVE NO CLUE WHAT IM DOING
1st row
1. 2x + x + x, x = 0
Plug in 0 as x.
0 + 0 + 0 = 0
2. 2x + x + x, x = 1
Plug in 1 as x.
2 + 1 + 1 = 4
3. 2x + x + x, x = 2
Plug in 2 as x.
4 + 2 + 2 = 8
2nd row
1. 4x, x = 0
Plug in 0 as x.
4 * 0 = 0
2. 4x, x = 1
Plug in 1 as x.
4 * 1 = 4
3. 4x, x = 2
4 * 2 = 8
Notice how the answers are the same.
This is because 2x + x + x = 4x, meaning they are the same equation.
Answer:
Attached in file
Step-by-step explanation:
What does this mean by substitution?
The act of substituting in algebra / pre-algebra / etc is plugging in a number for 'x'
In this question, they are wanting you to plug in 0, 1, and 2 to two different equations (2x+x+x and 4x) to see if they are the same equations.
(I'm going to try and make a graph, as visual learning helps)
| 2x+x+x 4x
x=0| a b
x=1 | c d
x=2| e f
Now I know that this is not perfect, but I inputted letters so that you know what I am solving for.
Solve for a:
Plug in x=0
2(0) + 0 + 0
2*0 = 0
0 + 0 + 0 = 0
So, a = 0 (What I am saying is the first blank is a, the blank next to it is b, etc)
Solve for b:
Plug in x=0
4(0) = 0
So, b = 0
Solve for c:
Plug in x=1
2(1) + 1 + 1
2 + 1 + 1
= 2 + 2
=4
b = 4
Solve for d:
Plug in x=1
4(1) = 4
d=4
Solve for e:
Plug in x=2
2(2) + 2 + 2
4 + 2 + 2
4 + 4
=8
e=8
Solve for f:
Plug in x=2
4(2)
f=8
There we go! I annotated this picture to have these values plugged into their respective spots!!
Hope this helped!!
Solving inequalities #3
Plot the following inequality on the number line. −2
The number line of x <-2 is added below
How to plot the inequality on a number lineFrom the question, we have the following parameters that can be used in our computation:
x < -2
For the inequality x < -2:
All real numbers that are less than -2 satisfy the inequality.
So, we can represent the solution set of the inequality using the interval (-∞, -2)
When represented on a number line, we have:
-∞ -3 -2 -1 0 1 2 ∞
--------------------------------------------------------------------------
. <- o . . . . .
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Find an equation for a line that passes through the points (-3, 3) and (5,-5)
Answer: y = -x
Step-by-step explanation:
slope = (-5-3)/(5+3) = -1
using the point (-3,3)
y-3 = -(x+3)
y-3 = -x - 3
y = -x
Draw a number line to show 2/3 + 2/3
Answer:
4/3
Step-by-step explanation:
Write an equation that would change the graph of y=(x-2)^3+5
A. Move it 2 spaces left
B. Flip it vertically
C. Vertically stretch it
Show work
We may multiply the y-values by -1 to flip the graph of y = (x - 2)^3 + 5 vertically. This will display the graph along the x-axis. The inverted graph's equation is y = -((x - 2)^3 + 5).
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
To flip the graph of y = (x - 2)^3 + 5 vertically, we can multiply the y-values by -1. This will reflect the graph across the x-axis. The equation for the flipped graph is: y = -((x - 2)^3 + 5).
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Do the Math
Franklin has a total of 18 pennies and nickels worth 78 cents. How many pennies and
how many nickels does Franklin have?
Write a system of equations.
p+n=18
P+
n=78
Solve the system of equations.
Franklin has pennies and nickels.
Franklin has 3 pennies and 15 nickels.
How many pennies and nickels does he have?The number of pennies The first step is to form a system of equations that represent the question:
p + n = 18 equation 1
0.01p + 0.05n = 0.78 equation 2
Where:
p = number of pennies n = number of nickelsThe elimination method would be used to solve the system of equations.
Multiply equation 1 b y 0.01:
0.01p + 0.01n = 0.18 equation 3
Subtract equation 3 from equation 2:
0.04n = 0.60
n = 0.60 / 0.04
n = 15
Substitute for n in equation 1:
p + 15 = 18
p = 18 - 15
p = 3
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Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C
How to calculate the debt using the stack methodFrom the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.
The amount of 150 dollars would then be added to the debt that has the second highest rate.
Hence the amount of debt that would be paid off first would be the first debt based on the stack method.
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A $25,000 deposit increases in the bank by 3% per year. Determine the value after 7 years.
The value of the deposit after 7 years is given as follows:
$30,746.85.
How to model the situation?The situation is modeled with an increasing exponential function, which has the format presented as follows:
y = a(1 + r)^x.
In which:
a is the initial value.r is the growth rate, as a decimal.Considering the deposit and the yearly increase, the parameters are given as follows:
a = 25000, r = 0.03.
Hence the function is given as follows:
y = 25000(1.03)^x.
The value after 7 years is given as follows:
y = 25000(1.03)^7
y = $30,746.85.
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The letter represents the location of –1.5 on the number line. A number line going from negative 3 to positive 3 in increments of 1. Point A is halfway between negative 3 and negative 2. Point B is halfway between negative 2 and negative 1. Point C is halfway between negative 1 and 0. Point D is halfway between 1 and 2.
The location of point A on the number line is -2.5, point B is -1.5, point C is -0.5, and point D is 1.5.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The number line can be divided into halves to find the halfway points between consecutive integers.
Point A is the halfway point between negative 3 and negative 2,
Point A = -2.5
Point B is the halfway point between negative 2 and negative 1,
Point B = -1.5
Point C is the halfway point between negative 1 and 0,
Point C = -0.5
Point D is the halfway point between 1 and 2.
Point D = 1.5
These halfway points can be used to approximate the location of -1.5 on the number line.
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A pattern rule for a number pattern is represented by 55 - 8n, where n is the term number.
A) Write the first six terms in the pattern. Explain the pattern rule.
B) What is the 30th term in this pattern?
A) All the first six terms in the pattern are,
⇒ 47, 39, 31, 23, 15, 7
Every number is 8 more than the next number.
B) The 30th term in this pattern is, - 185
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A pattern rule for a number pattern is represented by,
⇒ 55 - 8n, where n is the term number.
Now, All the first six terms in the pattern are,
Substitute n = 1;
⇒ 55 - 8n
⇒ 55 - 8 × 1
⇒ 55 - 8
⇒ 47
Substitute n = 2;
⇒ 55 - 8n
⇒ 55 - 8 × 2
⇒ 55 - 16
⇒ 39
Substitute n = 3;
⇒ 55 - 8n
⇒ 55 - 8 × 3
⇒ 55 - 24
⇒ 31
Substitute n = 4;
⇒ 55 - 8n
⇒ 55 - 8 × 4
⇒ 55 - 32
⇒ 23
Substitute n = 5;
⇒ 55 - 8n
⇒ 55 - 8 × 5
⇒ 55 - 40
⇒ 15
Substitute n = 6;
⇒ 55 - 8n
⇒ 55 - 8 × 6
⇒ 55 - 48
⇒ 7
B) The 30th term in this pattern is,
Substitute n = 30;
⇒ 55 - 8n
⇒ 55 - 8 × 30
⇒ 55 - 240
⇒ - 185
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Select the correct answer. What is the simplest form of square root of 392x ^15
The simplest form of the square root is 14x⁷√2x.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given the expression, [tex]\sqrt{(392x^{15} )}[/tex]
factors of 392 = 2*2*2*7*7
or factors of 392 = 2*14*14
and x¹⁵ = x¹⁴.x
substitute the values,
[tex]\sqrt{(2*14*14x^{14}x )}[/tex]
or √2x(√14²)(√x¹⁴)
= 14x⁷√2x
Hence option C is correct.
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pls help will mark brainliest asap
The transformed vertices of the ΔABC will be A'(- 2, 0), B'(2, 3)
and C'(0, - 1).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The given triangle has vertices A(0, 4), B(6, - 4) and C(- 2, 0).
We know a rotation of 90° counterclockwise transforms (x, y) to (- y, x)
and a dilation factor of (1/2) would make it (- y/2, x/2).
Therefore, The vertices of the triangle A'B'C' will be,
A'(- 4/2, 0/2), B'(-(-4)/2, 6/2) and C'(0/2, - 2/2).
A'(- 2, 0), B'(2, 3) and C'(0, - 1).
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Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 555 Carlson sisters.
The quantity of jewelry that each sister will receive would be = 23+y/ 5
How to calculate the quantity of jewelry received by each sister?The total number of jewelry that was given out by Grandma Gertrude = 23 pieces
The total number of jewelry that was given out by Grandma Fien = y
The number of Carlson sisters = 5
Therefore, the quantity of jewelry that will be received by each of the sister would be represented by this expression = 23+y/ 5
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The complete question:
Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters to divide evenly among themselves. There are 5 Carlson sisters, How many pieces of jewelry did each sister receive?
Please help!
Solve the equation. If there is more than one solution, separate them with a comma.│5x+3│=33
5/100 in simplest form
Answer:1/20
Step-by-step explanation:
trust
Answer:
1/20
Step-by-step explanation:
5 divided by 100 is =20
5divided by 5 is =1
=1/20
A line has a slope of 5 7 and passes through the point (12,9). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
The equation in slope-intercept form is y = 5/7x + 3/7
How to determine the equation of the lineIt is important to note that the equation of a line is expressed with the formula;
y = mx + c
Such that the parameters are;
y is a point on the y -axis of the graphm is the slope of the line of graphx is a point on the x-axis of the graphc is the intercept of the line on the y-axis of the graphFrom the information given, we have that;
slope, m = 5/7
Now, let's substitute the points into the formula, we have;
9 = 5/7(12) + c
expand the bracket
9 - 60/7 = c
find the lowest common multiple
c = 63-60/7
c = 3/7
The equation of the line is ; y = 5/7x + 3/7
Hence, the equation is y = 5/7x + 3/7
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Let T be a tree with n positions. Define the lowest common ancestor (LCA) between two positions p and q as the lowest position in T that has both p and q as descendants (where we allow a position to be a descendant of itself). Given two positions p and q, describe an efficient algorithm for finding the LCA of p and q. What is the running time of your algorithm? In addition, implement your algorithm and write a test program in JAVA
One efficient algorithm for finding the LCA in a tree is the Tarjan's off-line lowest common ancestor (LCA) algorithm. It uses DFS to preprocess the tree and build a table of ancestors for each node. The algorithm then uses this table to quickly find the LCA in constant time.
The running time of the algorithm is O(n) in both time and space, where n is the number of positions in the tree.
Here is a Java implementation of the Tarjan's off-line LCA algorithm:
class TreeNode {
int val;
List<TreeNode> children;
public TreeNode(int val) {
// constructor to initialize a node in the tree with a given value
this.val = val;
this.children = new ArrayList<>();
}
}
public class LCA {
private TreeNode root;
private int[] depth;
private int[] parent;
private int[][] table;
private int logN;
public LCA(TreeNode root, int n) {
// constructor to initialize the LCA class with a given root and number of nodes
this.root = root;
depth = new int[n];
parent = new int[n];
table = new int[n][20];
logN = (int) (Math.log(n) / Math.log(2)) + 1;
build();
}
private void build() {
// preprocess the tree and build the ancestor table
dfs(root, -1, 0);
for (int i = 0; i < logN - 1; i++) {
for (int j = 0; j < parent.length; j++) {
table[j][i + 1] = table[table[j][i]][i];
}
}
}
private void dfs(TreeNode node, int p, int d) {
// DFS to preprocess the tree
parent[node.val] = p;
depth[node.val] = d;
for (TreeNode child : node.children) {
dfs(child, node.val, d + 1);
}
}
public int query(int p, int q) {
// function to query the LCA of two nodes
if (depth[p] < depth[q]) {
int temp = p;
p = q;
q = temp;
}
int log = 1;
while ((1 << log) <= depth[p]) {
log++;
}
log--;
for (int i = log; i >= 0; i--) {
if (depth[p] - (1 << i) >= depth[q]) {
p = table[p][i];
}
}
if (p == q) {
return p;
}
for (int i = log; i >= 0; i--) {
if (table[p][i] != -1 && table[p][i] != table[q][i]) {
p = table[p][i];
q = table[q][i];
}
}
return parent[p];
}
}
And here is a test program:
public class Main {
public static void main(String[] args) {
TreeNode root = new TreeNode(0);
TreeNode node1 = new TreeNode(1);
TreeNode node2 = new TreeNode(2);
Tree
You can learn more about Tree data structure at
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Sally wants to but a pair of shoes that cost $48. When she get to the store she finds out that they are on sale for 20% off. how much will she pay for the shoes after the discount? Show all your work.
Answer:
$38.4
Step-by-step explanation:
In other words, a 20% discount for a item with original price of $48 is equal to $9.6 (Amount Saved). - Note that to find the amount saved, just multiply it by the percentage and divide by 100.
$48 - $9.6 (amount saved) = $38.4
a certain statistic will be used as an unbiased estimator of a parameter. let j represent the sampling distribution of the estimator for samples of size 40, and let k represent the sampling distribution of the estimator for samples of size 100. which of the following must be true about j and k ?
The correct statement can identify by using a certain limit theorem.
The correct option is (c).
The sample size of J is 40.
The sample size of K is 100.
As per the central limit theorem, if the population with mean and standard deviation takes a large random sample from the population with replacement, then the distribution of the sample means will be approximately distributed.
Now from the definition of the central limit theorem, both J and K will the same means.
Write the expression for standard deviation.
[tex]s = \frac{\alpha }{\sqrt{n} }[/tex]
From the above expression, the standard deviation is inversely proportional to the sample size.
Thus, the correct statement is the expected values of J and K will be equal, and the variability of J will be greater than the variability of K.
Read more about certain limit theorem:
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The complete question is:
A certain statistic will be used as an unbiased estimator of a parameter. Let J represent the sampling distribution of the estimator for samples of size 40, and let K represent the sampling distribution of the estimator for samples of size 100.
Which of the following must be true about J and K?
a. The expected values of J and K will be equal, and the variability of J will be less than the variability of K.
b. The expected values of J and K will be equal, and the variability of J will be equal to the variability of K.
c. The expected values of J and K will be equal, and the variability of J will be greater than the variability of K.
d. The expected value of J will be greater than the expected value of K, and the variability of R will be greater than the variability of K.
e. The expected value of J will be greater than the expected value of K, and the variability of R will be less than the variability of K.