The following is the correct way to swap the values in these two variables is:
d) int temp = num2;
num2 = num1;
num1 = temp;
Swapping Integer VariablesThis is because in d), the value of num2 is stored in a temporary variable temp before swapping. Then, the value of num1 is assigned to num2 and the value of temp is assigned to num1. This way the values of num1 and num2 are successfully swapped. The other options have logical errors in the swapping process.
Swapping values of variables is a basic concept in computer programming and is not a mathematical concept. However, it is related to mathematics in that programming can be used to solve mathematical problems.
For example, in mathematics, we might want to swap two values in a list so that we can sort the list in a certain order. In this case, the ability to swap values in programming can be applied to solving a mathematical problem. But the concept of swapping values itself is not a mathematical concept.
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Subtract: (9x^3-4x^2+2x) - (2x^+6x^2-3x)
Answer:
7x^3 + 2x^2 - x
Step-by-step explanation:
To subtract the two expressions (9x^3-4x^2+2x) and (2x^+6x^2-3x), we will need to line up the terms with the same exponent and subtract them.
(9x^3-4x^2+2x) - (2x^+6x^2-3x)
= (9x^3 - 2x^3) + (-4x^2 + 6x^2) + (2x - 3x)
= 7x^3 + 2x^2 - x
So the result of the subtraction is 7x^3 + 2x^2 - x
Please note that if you want to simplify the result further, you can combine like terms.
Based on the completed Form 1040 and 2018 Taxable Income Tiers, what is the total tax
that the employee is responsible for paying?
Answer in complete sentences.
By assuming that the taxpayer has $100,000 as income on the completed Form 1040, the total tax that the employee is responsible for paying will be: $17,836.
What are tax bracket or income tiers?A tax bracket is a range of incomes that are subject to a specific income tax rate. Tax brackets are part of a progressive tax system, which means that the level of tax rates rises progressively as an individual's income rises. Low-income taxpayers are taxed at relatively low rates, while higher-income taxpayers are taxed at higher rates.
For example, in 2022, a single filer with taxable income of $100,000 will pay $17,836 in tax, or an average tax rate of 18%. But your marginal tax rate or tax bracket is actually 24%. Therefore, the total tax that the employee is responsible for paying equals to $17,836.
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The production possibilities curve below shows all the combinations a
clothing and cars that can be produced by the country Alpha. Use the
production possibilities curve to answer questions 2A, 2B, and 2C.
The graph known as the "production possibilities curve" (PPC) depicts all the possible permutations of output that can be created with the available resources and technology.
Explain about the production possibility curve?The maximum output for two items under resource constraints is shown by the production possibilities curve.
The graph known as the Production Possibilities Frontier (PPF) illustrates all the possible output combinations of two items that can be created with the resources and technologies currently in use. The PPF effectively expresses the ideas of choice, tradeoffs, and scarcity.
A production possibilities curve (PPC) depicts the greatest quantity of one commodity that can be produced given the degree of production of another good, the total quantity of inputs available to manufacture both commodities, and the production technique.
Therefore, if the production of the commodities declines, the production possibility curve shifts inward.
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Please help me with the following question.
The test statistic from a single sample t-distribution is used to obtain the t-statistic increase, which remains constant.
what is sample size ?The sample size represents the number of experiences used to derive estimates for a certain population. A sample size from the population was selected. The number of participants or experiences that make up a study is referred to as the "sample size." This number is frequently represented by the symbol n. Two statistical traits are influenced by the sample size: 1) The accuracy of our estimations; 2) The power of research to draw conclusions. The samples represent the findings of random tests. A specific value is selected from a set of possible values when picking a random variable. This particular value is a sample. The potential values and their probabilities are determined by the unpredictable variable's probability density function.
given
Using the test statistic of a single sample t-distribution, the t-statistic is derived.
To ascertain whether the test statistic would change when the sample size was increased, use the concept of the "test statistic."
When the standard deviation is unknown, a hypothesis test is done on the population mean based on the data. When the statistic is large, the t-statistic has a positive value and rejects the null hypothesis.
Increase in sample size is what is stated. Because the sample size (n) is inversely proportional to the t-statistic, the t-statistic would rise.
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Please help me with this question.
The area of the given region that is enclosed by a cardiod r = 20+20sinθ, is 600π
What are definite integrals?A definite integral is a formal calculation of area beneath a function, using infinitesimal slivers or stripes of the region.
Given that, we need to find an area for region that is enclosed by a cardiod
r = 20+20sinθ
Using definite integral,
[tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(20+20\sin \left(\theta\right)\right)^2d\theta[/tex]
= [tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(400+400\sin^2 \left(\theta\right)+800sin\theta\right)d\theta[/tex]
= [tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(400+400(\frac{1-cos2\theta}{2})+800sin\theta\right)d\theta[/tex]
= [tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(600+200cos2\theta}+800sin\theta\right)d\theta[/tex]
= [tex]\frac{1}{2}\cdot \:1200\pi[/tex]
= [tex]600\pi[/tex]
Hence, the area of the given region that is enclosed by a cardiod
r = 20+20sinθ, is 600π
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What’s the answer to 42
No, Amit's reasoning is not correct. The correct equation is
(-$5.75) *7 = -$40.25.
What is algebraic equation?An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.
Equations are like a balance scale. If you’ve seen a balance scale, you would know that an equal amount of weight has to be placed on either side for the scale to be considered “balanced”.
Given that, Amit's bank charged $5.75 fee per month for amount below than a certain value.
After 7 month, the total amount changed from his account is
(-$5.75) *7
= -$40.25.
Here '-' sign represent the amount will deducted from his account.
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X°=1? How can i solve this math?
Answer:
x=90°
Step-by-step explanation:
The following number lines are missing some numbers. Sketch each one on your paper and use the information provided to complete the number lines. a. b. c. d.
The numbers that are missing to complete the number lines are -18,-6,0,12,18 (a), -36,-18,-9, 9, 18, 27, 36(b),-700,-350,350,1050,1400,1750 (c).
What are number lines?In maths and related areas, number lines can be defined as horizontal lines that have numbers placed on them. Moreover, the numbers are placed at equal distances and follow a pattern; for example, 1,2,3,4, etc. or 5,10,15, etc.
How to complete the number lines?Understand the sequence and complete them:
A. The numbers have an interval of 6. Then -18,-12,-6,0,6,18
B. The numbers have an interval of 9. Then: -36,-27,-18,-9,0,8,18,27,36
C. The numbers have an interval of 350. Then: -700, - 350, 0, 350, 700, 1050, 1400, 1750.
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Which of the following shows a correct method to calculate the surface area of the cylinder?
cylinder with diameter labeled 3.2 feet and height labeled 3.8 feet
SA = 2π(1.6)2 + 3.2π(3.8) square feet
SA = 2π(1.6)2 + 1.6π(3.8) square feet
SA = 2π(3.2)2 + 3.2π(3.8) square feet
SA = 2π(3.2)2 + 1.6π(3.8) square feet
Answer:
Below
Step-by-step explanation:
The TWO ends are EACH = pi r^2 = pi (1.6)^2
there are two, so 2 * pi * (1.6)^2
the side surface area is the circumference ( pi * d) times the height
= pi * 3.2 * 3.8
Add the two underlined items to find the answer that matches
Answer:
Hey i know im late to answer but the real answer is SA = 2π(1.6)2 + 3.2π(3.8) square feet
Step-by-step explanation:
ive done the flvs quiz and i got a 100 percent!
You might need: Calculator
The expression 1.08s +1.02b predicts the end-of-year value of a financial portfolio where s is
the value of stocks and b is the value of bonds in the portfolio at the beginning of the year.
What is the predicted end-of-year value of a portfolio that begins the year with $200 in stocks
and $100 in bonds?
Show Calculator
The predicted end-of-year value of the portfolio can be calculated as follows:
What is a mathematical expression?
A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities. The expression structure is as follows: Expression: Math Operator, Number/Variable, Math Operator
s = $200
b = $100
1.08s = 1.08 * $200 = $216
1.02b = 1.02 * $100 = $102
Therefore, the predicted end-of-year value of the portfolio is $216 + $102 = $318.
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A storm system is in the Central Texas area and moving in a straight line through Austin. The Weather Service Office forecasts that t hours after 12 noon the storm will be a distance of s(t) = 5 + 14t – 3t2 miles from Austin. How fast will the storm be moving at 4:00 pm and in what direction will it be moving? storm moving 1. storm speed = 12 mph, away from Austin. storm moving 2. storm speed = 10 mph, toward Austin. 3. storm speed = -12 mph, storm moving toward Austin. storm moving 4. storm speed = 12 mph, toward Austin. storm moving 5. storm speed = 10 mph, away from Austin. 6. storm speed = –10 mph, storm moving toward Austin.
Storm moving toward austin at speed of -10 mph.
To find the speed of the storm at 4:00 PM, we need to find the rate of change of the distance of the storm from Austin at that time. To do this, we can use the derivative of the function s(t) = 5 + 14t - 3t^2, which represents the distance of the storm from Austin.
s'(t) = 14 - 6t
At t = 4 hours, or 4:00 PM, the speed of the storm is given by:
s'(4) = 14 - 6 * 4
s'(4) = 14 - 24
s'(4) = -10 mph
So, the storm will be moving at 10 mph towards Austin at 4:00 PM.
Therefore, the answer is: 6. storm speed = -10 mph, storm moving toward Austin.
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recovered rs 4000 from an insolvent debtor and which was previously written as bad debt?
Bad debts recovered refers to an amount that was previously recorded as bad debts and has now been recovered.
How do you calculate the recovery of bad debts that have already been written off?Using a direct write-offDebit your Bad Debts Expense account and credit your Accounts Receivable account to record the bad debt item in your books. Bad debts recovered refers to an amount that was previously recorded as bad debts and has now been recovered.Instead of debiting sales to eliminate the transaction, we debit the expense account for bad debts. Although the deal was still made, we must illustrate the cost of not being paid. The asset of the person who owes us money is subsequently removed by crediting trade receivables.To learn more about bad debt refer to:
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A debate team consists of 5 freshmen and 4 sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so at least two of the sophomores are standing next to each other, and at least two of the freshmen are at the ends of the line?
The number of ways that at least two of the freshmen are at the ends of the line and at least two of the sophomores are standing next to each other will be 9.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A debate team consists of 5 freshmen and 4 sophomores. (Everyone is distinguishable.)
⇒ (3 x 3)
⇒ 9
The number of ways that at least two of the freshmen are at the ends of the line and at least two of the sophomores are standing next to each other will be 9.
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Question in picture, pls help
The constant terms of f(x) and h(x), it can be determined that 9(0) = 7.
Polynomial equationg(0) = 3/-4 = -3/4If h(x) = f(x)·g(x), then the constant terms of both polynomials must be equal. Since the constant term of f(x) is -4 and the constant term of h(x) is 3, then the constant term of g(x) must be 7. This implies that g(0) = 7, so 9(0) = 7.To further explain, polynomials are equations that use coefficients, variables and constants.A constant term is a term in a polynomial that does not contain a variable. In this case, the constant terms of both f(x) and h(x) are known. Since h(x) = f(x)·g(x), the constant terms of both polynomials must be equal.The constant term of f(x) is -4 and the constant term of h(x) is 3, so the constant term of g(x) must be 7. This means that g(0) = 7, so 9(0) = 7. In conclusion, by examining the constant terms of f(x) and h(x), it can be determined that 9(0) = 7.The question is asking for 9(0), the constant term of 9(x). Since h(x) = f(x) · g(x), the constant term of h(x) is the product of the constant terms of f(x) and g(x). Since the constant term of f(x) is -4 and the constant term of h(x) is 3, then the constant term of g(x) must be 4. This means that 9(0) is also 4. This question is an example of solving a polynomial equation. A polynomial equation is an equation that involves a polynomial expression that may contain constants, variables, and exponents. To solve a polynomial equation, you must use algebraic methods to find the solutions. In this case, we used the fact that h(x) = f(x) · g(x) to solve for the constant term of g(x) (9(0)).To learn more about polynomial equation refer to:
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Originally the price is 849 the store offers a 20% discount and a 6% sales tax
The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the purchase total, multiply the price by the percent paid and add the percent of tax.
The store offers a 20% discount
This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.
Find the tax to be paid by multiplying 0.06(679.2) = 40.752.
Add the tax for the final total.
679.2 + 40.752 = 719.95
Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax
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Recently many airlines have had cancel flight in a single day republic airlines had to cancel 416 flights representing 15.1% of the airlines scheduled flights. How many flights were originally scheduled?
The number 2755 flights were scheduled.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Recently many airlines have had to cancel flights in a single day.
Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.
The number of flights scheduled,
= 416 x 100/ 15.1
= 41600/15.1
= 2754.96
≈ 2755
Therefore, 2755 flights were scheduled.
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write as a single fraction in the simplest form
x+6\2 + 2x-3/5
Answer:
3x+12/5
Step-by-step explanation:
Evan has $580 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $396.95.
He buys 4 bicycle reflectors for $7.40 each and a pair of bike gloves for $22.94.
He plans to spend some or all of the money he has left to buy new biking outfits for $42.10 each.
Write and solve an inequality which can be used to determine
x
x, the number of outfits Evan can purchase while staying within his budget.
The inequality equation is x < 3.1 and the number of biking outfits is 3
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the total amount with Evan be = $ 580
The cost of bicycle = $ 396.95
The cost of each reflectors = $ 7.40
The cost of 4 reflectors = 4 x 7.40 = $ 29.60
The cost of pair of bike gloves = $ 22.94
So , the total cost = $ 396.95 + $ 29.60 + $ 22.94
On simplifying the equation , we get
The total cost = $ 449.49
So , the remaining amount with Evan = total amount with Evan - total cost
The remaining amount with Evan = $ 580 - $ 449.49
The remaining amount with Evan = $ 130.51
Now , the cost of biking outfits = $ 42.10
The cost of x biking outfits = 42.10x
So , the number of outfits Evan can purchase while staying within his budget is given by
42.10x < 130.51
Divide by 42.10 on both sides of the equation , we get
x < 3.1
Therefore , the number of biking outfits is 3
Hence , the inequality equation is 42.10x < 130.51
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Answer: this is the true answer
Step-by-step explanation:
inequality is 42.1x+44.49≤580
answer x ≤ 3.1
On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 6.1 inches. Find the probability that a randomly selected part from this supplier will have a value between 85.3 and 109.7 inches. Use the Empirical Rule of 68%-95%-99.7%.
someone solve this and explain how 0.033 + (1.6 × 10-3)
Answer:
0.0346
Step-by-step explanation:
[tex]\sf 10^{-3} = \dfrac{1}{10^3}= \dfrac{1}{1000}\\\\\\1.6*10^{-3}=\dfrac{1.6}{1000}\\[/tex]
= 0.0016
0.033 + 0.0016 = 0.0346
[tex]= 3.46 * 10^{-2}[/tex]
[tex]0.033 + (1.6*10-3)=13.033.\\ \\0.033 + (1.6*10^{-3} )=0.0346.[/tex]
Step-by-step explanation:Solution assuming that the parenthesis operation is: (1.6*10-3)1. Write the expression.[tex]0.033 + (1.6*10-3)[/tex]
2. Remember PEMDAS.Check the attached image.
This is an useful tool to know that operation to solve first.
3. Solve the parenthesis.Since the parenthesis is the priority according to PEMDAS, let's start by solving what's inside of the parenthesis.
So, now that we are looking inside the parenthesis, the operation that goes first, according to PEMDAS, should be multiplication. So let's multiply!
Is this case we need to multiply 1.6 x 10. Result is the following:
[tex]0.033 + (16-3)[/tex]
After that, solve the subtraction in order to clear the parenthesis.
[tex]0.033 +13[/tex]
4. Complete by adding.[tex]13.033[/tex]
5. Express the final answer.[tex]0.033 + (1.6*10-3)=13.033[/tex].
-------------------------------------------------------------------------------------------------------
Solution assuming that the parenthesis operation is: ([tex]1.6*10^{-3}[/tex])1. Write the expression.[tex]0.033 + (1.6*10^{-3} )[/tex]
2. Rewrite and apply PEMDAS.[tex]0.033 + (1.6*\frac{1}{10^{3} } )\\ \\0.033 + (1.6*\frac{1}{1000 } )\\ \\0.033 + (\frac{1.6}{1000 } )\\ \\0.033 + (0.0016)\\ \\0.0346[/tex]
Your sister recently landed her dream job. As part of planning for future expenses, she started to deposit Php 1,000.00 monthly in a fund that pays 6% compounded quarterly. What is the equivalent interest?
Answer:
Php 496.69.
Step-by-step explanation:
To calculate the interest earned on your sister's deposits, we need to use the formula for compound interest:
A = P (1 + r/n)^(nt)
Where:
A = the future value of the investment (the total amount of money including interest)
P = the principal amount (the initial deposit)
r = the annual interest rate (expressed as a decimal)
n = the number of times the interest is compounded per year
t = the number of years the money is invested
Given that the deposit is Php 1,000.00 monthly and the interest rate is 6% compounded quarterly, we can substitute these values into the formula:
A = 1000 * (1 + 0.06/4)^(4*t)
We don't know the number of years, but we can use the formula to find out the future value of the investment (A) after a certain number of years, and then we can calculate the interest earned by subtracting the initial deposit from the future value.
For example, assuming the investment is for 5 years, the future value of the investment would be:
A = 1000 * (1 + 0.06/4)^(4*5) = 1496.69
The interest earned after 5 years would be:
1496.69 - (1000125) = 496.69
So the equivalent interest earned after 5 years is Php 496.69.
COMPOUND INTEREST
• Compound interest is also the amount earned
for one year calculated by multiplying the
principal by the interest rate. Borrowing,
bonding and saving in financial institution
apply compound interest. compound interest
are usually used for long term transactions.,
Read the details about the meaning of
compound interest in brainly.ph/question/
448076
Read the details about how to solve compound
interest in brainly.ph/question/2398527
Here is the Formula of compound Interest
• A= P(+tj/m^mt
A=maturity value or future value of the loan or
investment ( compound amount)
j= nominal rate or the yearly interest
m= number of conversion period per year
t period or term of the loan or investment
a= 1,000(1+ 0.06/ 4) ^ 4)
a =1,000 (1+ 0.015) ^ 4
a= 1,000 (1.015^4
a= 1000(1.0613)
a= 1061.3
compound interest( lc)
lc = A-p
Ic = 1061.3 -1000
lc = 61.3 is the interest
2 Stephanie is being treated / is treating / treats by a
doctor.
3 May I help you, sir? Or are you/you're / are you
being served?
4 Almost every UK family is owning / is owned /
owns a laptop or tablet.
5 The kids give/given / are given £10 pocket money
each week.
6
Professional footballers earn/ are earned / are being
earned a lot of money these days.
I'm really nervous I interview /'m being
Answer:
2. Stephanie is being treated by a doctor.
3. May I help you, sir? Or are you being served?
4. Almost every UK family owns a laptop or tablet.
5. The kids are given 10 euros pocket money each week.
6. Professional footballers earn a lot of money these days.
Step-by-step explanation:
5 Write an expression for U with respect to each species in the reaction: 2A + B v 4C + 3D. Ifthe rate of formation of C is 3.2 M s-1, what is the value ofu: What is the value of the rate of consumption of A and B?
Rate of consumption refers to the rate at which a particular resource or material is being used up. It is usually expressed as the amount consumed per unit of time, such as kilograms per hour, gallons per day, etc. The rate of consumption can be used to measure the efficiency of a process, as well as to predict future needs for the resource or material. It is also important to consider the environmental impacts of consumption, as the rate of consumption can have a significant effect on the environment if it is too high.
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find the perimeter, in feet, of the parallelogram. a parallelogram is 17 feet wide, 27 feet long, and 24 feet high.
The perimeter of a parallelogram P=102mm.
The perimeter of a parallelogram is defined as the total length of the boundaries, surrounding it. The sum of all the sides of a parallelogram is known as the perimeter of a parallelogram.
The formula for the perimeter of a parallelogram:
P=2(a+b).
There are some properties of a parallelogram:
The pair of opposite sides and angles of a parallelogram are parallel and equal to each other.Diagonals of a parallelogram bisect each otherPairs of adjacent angles are supplementary, the sum of all interior angles is equal to 360 degreesThe given information is slant height is 17, height is 24 and breadth is 27.
substitute the given values in the above formula.
P=2*(24+27)
P=2*(51)
P=102.
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Need real answer please i need it
Answer:
Step-by-step explanation: D.IS CORRECT
Two friends, Feng and Kylie, took summer jobs. The equation
�
=
18.9
�
y=18.9x represents Kylie's earnings in dollars and cents,
�
y, for working
�
x hours. The graph below represents Feng's earnings in dollars and cents,
�
y, for working
�
x hours.
0
Hours Worked
Earnings (Dollars)
x
y
0
Hours Worked
Earnings (Dollars)
(10,$270)
(20,$540)
Feng's Earnings
The proportional relationship that represents Feng's earnings is given as follows:
y = 27x.
Hence Feng's rate is of 27 dollars per hour.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Considering the two graphed points, Feng's rate is calculated as follows:
k = 540/20 = 270/10 = 27 dollars per hour.
Meaning that he/she earns a higher rate than Kylie.
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The equation P=28+2.54w models the relation between the amount of Randy’s monthly water bill payment, P, in dollars, and the number of units of water, w, used. Interpret the P-intercept of the equation.
Provide your answer below:
The P-intercept, 2.54, means that Randy's monthly water bill payment would be 2 point 5 42.54 dollars if he used 2828 units of water.
Answer:
Step-by-step explanation: The P-intercept of the equation P = 28 + 2.54w is 28. This means that when the number of units of water used is 0 (w = 0), the amount of Randy's monthly water bill payment is 28 dollars. This is the minimum payment that Randy must make for the water usage, regardless of the actual usage.
Sort your group´s collection into three categories. You can experiment with different ways of arranging these categories. Then, count the items in each category, and record the information in the table
Therefore , the solution of the given problem of Inline view comes out to be this query is present in the FROM clause of other SELECT statement.
How to record information in the table?Inline view:-It is not a real view instead it is a sub-query or a SELECT statement in the FROM clause of the of another select statement. In the query provided we have a sub - query which is displaying category and Average of retail from the books table and this query is present in the FROM clause of other SELECT statement.
Here.
Given :
You can experiment with different ways of arranging these categories. Then, count the items in each category, and
record the information in the table
Thus , the solution of the given problem of Inline view comes out to be
this query is present in the FROM clause of other SELECT statement.
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Determine whether the underlined value is a parameter or a statistic. (a) Following the 2014 national midterm election, 18% of the governors of the 50 United States were female. (b) The average score for a class of 28 students taking a calculus midterm was 72%. (c) In a national survey of 1300 high school students, 32% of respondents reported that someone had bullied them at school. (d) Ty Cobb is one of Major League Baseball’s greatest hitter of all time with a career batting average of 0.366. (e) Only 12 men have walked on the moon. The average time these men spent on the moon was 43.92 hours. (f) A study of 6076 adults in public rest rooms found that 23% did not wash their hands before exiting. (g) Interviews of 100 adults 18 years or older, conducted nationwide, found that 44% could state the minimum age requirement for the office of U.S. president.
(a) Parameter, (b) Statistic, (c) Statistic, (d) Parameter, (e) Statistic, (f) Statistic, and (g) Statistic.
A parameter is a fixed value that describes a population, while a statistic is a value computed from a sample of data.
In (a), the value of 18% is a fixed value describing the population of governors in the United States after the 2014 national midterm election, so it is a parameter.
In (b), the average score for a class of 28 students is a value computed from a sample, so it is a statistic. The same is true for (c), (e), (f), and (g), where the values are computed from surveys or studies.
In (d), Ty Cobb's career batting average is a fixed value that describes his performance, so it is a parameter. And in (e), the average time spent on the moon is a statistic computed from the data for the 12 men who have walked on the moon.
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The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.
Step 1
[original equation]: x2 + 8x + y2 − 6y = 11
Step 2
[group like terms]: (x2 + 8x) + (y2 − 6y) = 11
Step 3
[complete the square]:
Which of the following is the correct equation for Step 3?
Group of answer choices
(x2 + 8x + 4) + (y2 − 6y + 3) = 11 + 4 + 3
(x2 + 8x + 16) + (y2 − 6y + 9) = 11 + 16 + 9
(x2 + 8x + 16) + (y2 − 6y − 9) = 11 + 16 − 9
(x2 + 8x + 4) + (y2 − 6y − 3) = 11 + 4 − 3
The correct equation for Step 3 for completing the square method are shown in the table is,
⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The beginning steps for determining the center and radius of a circle using the completing the square method are;
Step 1 [original equation]:
⇒ x² + 8x + y² - 6y = 11
Step 2 [group like terms]:
⇒ (x² + 8x) + (y² - 6y) = 11
Now, We ca complete the squares for determining the center and radius of a circle as;
Step 1 [original equation]:
⇒ x² + 8x + y² - 6y = 11
Step 2 [group like terms]:
⇒ (x² + 8x) + (y² - 6y) = 11
Step 3;
⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9
Step 4;
⇒ (x + 4)² + (y - 3)² = 36
Thus, The correct equation for Step 3 for completing the square method are shown in the table is,
⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9
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