The required third number of the given triad is 16.
What is average?The average is characterized as the mean worth which is equivalent to the proportion of the amount of the quantity of a given arrangement of values to the complete number of values present in the set.
According to question:Given two number are 17 and 24.
Let the third number is x,
Average of three number is 19
17 + 24 + x/3 = 19
41 + x = 57
x = 16
Thus, the third number is 16.
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Devin has a new cell phone that holds 1.5 gigabytes of memory
of the memory. Will
for music. He has already used 1.35 gigabytes
he have enough space to download a song that will use
0.12 gigabyte of
memory? Explain.
He has enough memory space to download a song that will use 0.12 gigabytes of memory
The memory capacity of new cell phone = 1.5 gigabytes
The memory capacity that already used = 1.35 gigabytes
The remaining space = The memory capacity of new cell phone - The memory capacity that already used
Substitute the values in the equation
Here we have to use the subtraction
The remaining space = 1.5 - 1.35
Subtract the terms
= 0.15 gigabytes
The size of the song = 0.12 gigabytes
We know 0.15 > 0.12
Hence, he has enough memory space to download a song that will use 0.12 gigabytes of memory
The complete question is
Devin has a new cell phone that holds 1.5 gigabytes if memory for music. He has already used 1.35 gigabytes of the memory. Will he have enough space to download a song that will use 0.12 gigabyte of memory? Explain.
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What does variability mean in mean absolute deviation?.
The mean absolute deviation (MAD), a measure of variability, illustrates the typical distance between an observation's mean and its variation. MAD uses the data's original units to facilitate interpretation.
Greater values indicate a wider range of data points than the average. The term "variability" refers to how much a data collection varies from one constituent to another. Variability measures reflect the level and magnitude of change within the data collection.
The interquartile range and the mean average deviation are the two methods for calculating variability that are required by the requirements for sixth-grade pupils.
The majority of the data values are fairly near to the mean, as shown by a tiny mean absolute deviation. We can infer from a large mean absolute deviation that numerous data values are dispersed widely from the mean.
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how many inflection points can a (a) quadratic polynomial have? (b) cubic polynomial have? (c) polynomial of degree n have?
The number of inflection points can a quadratic polynomial and a cubic polynomial have is zero and one respectively.
For the points of inflection,
We know that the roots of second derivatives give the inflection points of a function,
For inflection point , f(x)'' = 0
(a) For quadratic, there will be f(x)'' independent of x, So, there will be no point of inflection.
(b) For cubic, there is a second derivative have a linear function, So, only one point of inflection.
Any degree polynomial, it has (n-2) points of inflection, where n is the degree of the polynomial.
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What is specialized language?.
Specialized language is language that is distinctive and pertinent to a particular industry.
Define the term specialized language?Language that is relevant to and distinctive of an industry is referred to as specialised language.
A language that uses specialised terms and particular terminologies to distinguish itself from general language is referred to as specialised language.When used correctly for the audience, specialised terms can make literature easier to grasp.Any in-group or specialised language for use by small groups of people with similar interests is referred to as "jargon."According to Durham University researchers, the ability to express oneself uniquely through language necessitates the creation and flexible use of signals by people.They contend that it could only have occurred with the emergence of specific psychological skills, explaining why language is only found in humans.
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The registration fee for a used car is 0.8% of the sale price of $5,100. How much is the fee?
The mid-distance running coach, Zdravko Popovich, for the Olympic team of an eastern European country claims that his six-month training program significantly reduces the average time to complete a 1500-meter run. Five mid-distance runners were randomly selected before they were trained with coach Popovich's six-month training program and their completion time of 1500-meter run was recorded (in minutes). After six months of training under coach Popovich, the same five runners' 1500 meter run time was recorded again the results are given below.Runner 1 2 3 4 5Completion time before training 5.9 7.5 6.1 6.8 8.1Completion time after training 5.4 7.1 6.2 6.5 7.8At an alpha level of .05, can we conclude that there has been a significant decrease in the mean time per mile?
By using the concept of Testing of Hypothesis, it can be concluded that
There has been no significant decrease in mean time per mile
What is Testing of Hypothesis?
Testing of Hypothesis is a method of inferencing which is used to decide whether a particular hypothesis can be supported with the help of the data at hand.
Completion time Completion time Difference
before training after training
5.9 5.4 0.5
7.5 7.1 0.4
6.1 6.2 -0.1
6.8 6.5 0.3
8.1 7.8 0.3
Mean for the completion before training = [tex]\frac{5.9 + 7.5 + 6.1 + 6.8 + 8.1}{5} = 6.88\\[/tex]
Mean for the completion after training = [tex]\frac{5.4 + 7.1 + 6.2 + 6.5 + 7.8}{5} = 6.6\\[/tex]
Mean for the difference = [tex]\frac{0.5 + 0.4 -0.1 + 0.3 + 0.3}{5} = 0.28\\[/tex]
Standard deviation for the completion before training = [tex]\sqrt{\frac{(5.9-6.88)^2 + (7.5-6.88)^2 + (6.1-6.88)^2 + (6.8-6.88)^2 + (8.1-6.88)^2}{5} }= 0.928\\[/tex]
Standard deviation for the completion after training = [tex]\sqrt{\frac{(5.4-6.6)^2 + (7.1-6.6)^2 + (6.2-6.6)^2 + (6.5-6.6)^2 + (7.8-6.6)^2}{5} }= 0.908\\[/tex]
Standard deviation for the completion after training = [tex]\sqrt{\frac{(0.5-0.28)^2 + (0.4-0.28)^2 + (-0.1-0.28)^2 + (0.3-0.28)^2 + (0.3 - 0.28)^2}{5} }= 0.228\\[/tex]
The null hypothesis [tex]H_0 : \mu_d = 0[/tex]
The alternate hypothesis [tex]H_a = \mu_d < 0[/tex]
Here left tail test is used
Critical value of t at [tex]\alpha = 0.05[/tex] and Degree of Freedom = 5 - 1 = 4
is [tex]t_c[/tex] = -2.132
t = [tex]\frac{0.28}{\frac{0.228}{\sqrt{5}}} = 2.746[/tex]
Since 2.746 > -2.132, the null hypothesis is accepted
So there has been no significant decrease in mean time per mile
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a. Use exponential regression to model C as an exponential function of t.b. According to your exponential model, by what percentage does the value of the 1877 cent increase from year to year?
The use exponential regression to model C as an exponential function t is C=29.490×1.076t.
Given that,
In the picture we can see the full question.
That is
The table shows the estimated value C, in dollars, of an 1877 Indian Head Cent in very fine condition t years of 1950.
The table has 2 columns
t=time in years C= value
since 1950 in dollars
0 25
30 400
45 625
54 1750
60 2000
We have to find the use exponential regression to model C as an exponential function t.
We know that,
What is an exponential?The base reciprocal's multiplication factor is indicated by a negative exponent. For instance, it can be expanded as 1/aⁿ if aⁿ is given. It implies that we must multiply a's inverse, or 1/a, by n. When writing fractions with exponents, negative exponents are employed.
Therefore, The use exponential regression to model C as an exponential function t is C=29.490×1.076t.
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Your local movie theater earns a total revenue of $40,000 per month when the price of a movie ticket is $8, and it earns a total revenue of $35,000 when the price of a movie ticket is $10.
When your local Internet service provider increased its monthly charge from $40 to $50, the number of subscribers fell from 2,000 to 1,800.
Last month, your local coffee shop charged $4 for a cappuccino and sold 150 cappuccinos. This month, it increased the price of a cappuccino to $5 and is on track to sell 120 cappuccinos.
As movie ticket prices rise, demand decreases or declines. When the cost of the neighborhood Internet service provider rises, demand likewise decreases. Demand decreases as cappuccino prices rise.
Define demand.Demand is the quantity of things that consumers are willing and able to purchase at various prices within a specific time frame. The term "demand curve" refers to the relationship between price and quantity demanded. Demand is just a consumer's desire to buy products and services immediately and to pay the price associated with them. Demand can be defined as the quantity of things that consumers are prepared and willing to purchase at various prices within a specific time frame.
Given,
As movie ticket prices rise, demand decreases or declines.
When the cost of the neighborhood Internet service provider rises, demand likewise decreases.
Demand decreases as cappuccino prices rise.
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Penny works 43 hours at an hourly rate of $8.50. She was paid time
and a half for the overtime. What were her total wages?
Answer: $548.25
Step-by-step explanation: 43 x $8.50 = 365.5 x 1.5 = $548.25
When 1,250 superscript three-fourths is written in its simplest radical form, which value remains under the radical?10652.
The value under the radical is 8
what is power?How many times you should multiply a number depends on its power. Exponents and indices are other names for powers. For instance, 82 may also be referred to as "8 to the power 2," "8 to the second power," or just "8 squared."
What is exponent and power?Exponents and powers can be used to represent extremely large or extremely small numbers in a more straightforward way. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is said that the entire statement 34 has power.
Due to it,
1250^(3/4)
Having said that,
Since n is an integer number,
Greater than x is n.
actual number a
Therefore,
1250^(3/4)=5^(3) *((4)root(2)^3
1250^(3/4)=125 *((4)root(2)^3
Therefore, the value that is still below the radical is 8.
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TRUE/FALSE. if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants.
If new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.
What is statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
We need to check whether if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is true or false.
The given statement is false because Primary data collection is a process of collecting original data, directly from the source.
Hence, if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.
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the drive time for a college student commuting between her dorm and her coop job is uniformly distributed between 20 and 45 minutes. the probability that she will get to work in 30 mins or less is
The probability that a college student will get to work in 30 mins or less is 0.4 or 40%.
What does uniformly distributed probability mean?
Uniform distribution refers to a type of probability distribution in which all outcomes are equally likely to occur.
According to the given question:
Since the time is uniformly distributed, every possible travel time has the same likelihood of occurring.
Lower boundary (L) = 20 minutes
Upper boundary (U) = 45 minutes
The probability that a student finishes her trip in 30 minutes or less is:
P (t ≤ 30) = (30 - L)/(U - L)
= (30 - 20)/(45 - 20)
= 10/25
= 0.4 or 40%
The probability that she will get to work in 30 mins or less is 0.4 or 40%
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What is the monthly finance charge if the average daily balance is $30, the daily periodic rate is 0.07%, and the number of days in the cycle is 30? a. 21¢ b. 63¢ c. 90¢
The monthly finance charge is 63 cents.
Here we have to find the monthly finance charge.
The given data:
Average daily balance = $30
The daily periodic rate = 0.07%
The number of days in a cycle is 30.
The formula to find the finance charge:
Finance charge = APR balance × number of days in billing cycle / 365
As it is given a daily periodic rate this means that:
APR / 365 = 0.07%
= 0.0007
Hence, putting the value in the formula we have:
Finance charge = 0.0007 × 30 × 30
= 0.63
As we know that $1 = 100 cents
So finance charge = 0.63 × 100
= 63 cents
Therefore the finance charge is 63 cents.
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A veterinarian uses weights in kilograms to figure out what dosages of medicines to prescribe for animals. For every 10 kilograms, there are 22 pounds. Calculate this animal’s weight in kilograms and explain your reasoning.
Fido the Labrador weighs 88 pounds.
The required weight of fido the labrador is 40 kilogram.
What is relation between kilogram and pound?
kilogram is the fundamental unit used to measure weight ans pound is used in UK to measure weight of any object.
As we have given in 10 kilogram, there are 22 pounds. So, one kilogram is equal to 2.2 pound.
According to given data in the question:We have to find the weight of fido the labrador in kilogram
here,weight in pound is 88
we know that one pound contain 1/2.2 kilogram
So, weight of 88 pound in kilogram = (88)1/2.2
weight in kilogram = 40 kilograms.
Hence, the required answer is 40 kilogram.
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PLEASE HURRY
Which line is the graph of y = 2x - 1?
line a
line d
line c
line b
Answer:
Line A
Step-by-step explanation:
The slope of 2x is a positive slope so it can't be line d(which is negative) or line c(which is horizontal).
That leaves us with lines a and b. 2x is a steep slope and line a has a steep slope while line b has a shallow slope so it is line a.
What is the average rate of change of the function f(x)=5(2)xfrom x = 1 to x = 5? enter your answer in the box.
The average rate of change is 37.5.
Define Rate of change
Rate of change (ROC) refers to how quickly something changes over time.The acceleration or deceleration of changes (i.e., the rate) and not the magnitude of individual changes themselves.Formula is, Rate of change = ( f(b) - f(a) ) / (b - a)Given function is,
f(x) = 5(2) ^ x
where, x = 1 to x = 5
We know, the formula of rate of change is
Rate of change = ( f(b) - f(a) ) / (b - a)
for x = 5, for that put value of x in given function
f(x) = 5(2) ^ x
f(5) = 5(2) ^ 5
f(5) = 160
for x = 1, for that put value of x in given function
f(x) = 5(2) ^ x
f(1) = 5(2) ^ 1
f(1) = 10
Now, plug in the values in rate of change formula
Rate of change = ( f(5) - f(1) ) / (5 - 1)
= ( 160 - 10) / 4
= 150 / 4
= 37.5
Hence, the average rate of change is 37.5
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a statistical relationship between two variables is considered statistically significant if it is stronger than what percent of relationships we'd expect to see by chance.
The statistical relationship between two variables is stronger than 95% of the relationships we would expect to see just by chance.
Statistical relationship:
Statistical relationship defines that if a change in one variable (X) results in a systematic increase in another (Y).
Given,
A statistical relationship between two variables is considered statistically significant.
Here we need to find if it is stronger than what percent of relationships we'd expect to see by chance.
While we looking into the given question we know that the statistical relationship is stronger then the percent of relationships we'd expect to see by chance is 95%.
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The school cook ordered p packages of hot dog buns for the year-end picnic. Each package contains 8 buns. Write an expression that shows how many hot dog buns were ordered.
The expression that shows how many hot dog buns were ordered is 8p.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Given that the school cook ordered p packages of hot dog buns for the year-end picnic and each package contains 8 buns.
The expression will be the multiplication of the variables. This will be:
= 8 × p
= 8p
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Can you use a right triangle to represent the distance between any two points on the coordinate plane?.
Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.
We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:
( 3, 4 ) and ( − 2, 1 )
We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.
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What are the 5 examples of linear equation?.
The required five equation of linear equation are given below.
What is linear equation?A linear equation is a mathematical condition of the structure y=mx+b. including just a steady and a first-request (straight) term, where m is the incline and b is the y-catch. At times, the above is known as a "direct condition of two factors," where y and x are the factors.
According to question:Five examples of linear equation,
1) 2x – 3 = 0
2) 2y = 8
3) m + 1 = 0
4) x/2 = 3
5) x + y = 2
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The two-way frequency table contains data about how students access courses. Traditional online row totals computer 28 62 90 mobile device 46 64 110 column totals 74 126 200 what is the joint relative frequency of students who use a mobile device in a traditional class?.
Based on the Number of students who use mobile in a traditional class,
The joint relative frequency of students who use mobile in traditional classes is 62.162%
What is Joint Relative Frequency?
Joint relative frequency is defined as the ratio of the frequency that is not in total rows or the total columns to the frequency of total rows or columns.
According to the given information:
Courses/devices Traditional class Online class Total rows
Computer 28 62 90
Mobile device 46 64 110
Total Columns 74 126 200
Total Number of students who opted for traditional classes = 74 Number of students who use a mobile phone in traditional class = 46
Joint relative frequency of students who use mobile in a traditional class
= Number of students who use mobile in traditional class/Total
students who opted for traditional classes
= 46/74
Percentage of Joint relative frequency = 46/74 ×100
= 62.162%
Based on the Number of students who use mobile in a traditional class,
The joint relative frequency of students who use mobile in traditional classes is 62.162%
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How do you calculate obtuse value?.
Calculating the obtuse angle or value of a triangle.
Finding obtuse angle value:
steps:
1) Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.
For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.
2) Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.
3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.
4) Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.
5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.
The obtuse angle value is obtained by inverse of cos:
cos^-1(-0.3125)
= 108.209 degrees.
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What is the 3 phases of agile life cycle?.
The 3 phases of the agile life cycle:
The Continuous Delivery: Lean Life Cycle.
The Exploratory (Lean Startup) Life Cycle.
The Program Life Cycle for a Team of Teams.
What is the Agile cycle?
The systematic succession of phases that a product goes through as it develops from start to finish is known as the agile software development life cycle. Concept, conception, iteration, release, maintenance, and retirement are its six phases.
The systematic succession of phases that a product goes through as it develops from start to finish is known as the agile software development life cycle. Concept, conception, iteration, release, maintenance, and retirement are its six phases.
The project management approach a team decides on will have a small impact on the Agile life cycle. For instance, Scrum teams work in sprints, which are brief timeframes akin to iterations. They also have responsibilities that are precisely defined, like Scrum master. Kanban teams, on the other hand, operate more continuously and don't have set roles. Another illustration is Extreme Programming, where teams frequently work in shorter iterations and give engineering practices more attention.
Hence,
The 3 phases of the agile life cycle:
The Continuous Delivery: Lean Life Cycle.
The Exploratory (Lean Startup) Life Cycle.
The Program Life Cycle for a Team of Teams.
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What is the complex number in the form a bi?.
A complex number is represented as a + bi, where a denotes the real part and bi denotes the imaginary part, to represent it in standard form.
How to find the value of i ?
Its value is fixed which is √-1
A complex number is, for instance, 5 + 2 i. The same is true for 3+4i.
Consequently, a complex number is a straightforward illustration of the addition of two integers, namely a real number and an imaginary number. There are two distinct halves to it: one is entirely real, and the other is fantastical.
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the velocity function (in meters per second) for a particle moving along a line is grven by u(t) : 2t-4, for 0 ( t < 6 (in seconds). what is the total distance traveied by the particle during this interval of tim
Hence, the total distance traveled by the particle is 16 meters
The velocity function for a particle moving along a line is given by u(t): 2t-4, for 0 < t < 6 (in seconds)
[tex]Distance(D) = \int\limits^a_b {u(t)} \, dt[/tex]
[tex]Distance(D) = \int\limits^6_0 {(2t-4)} \, dt[/tex]
In this time period velocity will be zero
So, u(t) = 0
2t-4=0
at t=2 seconds, velocity will be zero.
So,
[tex]Distance(D) = |\int\limits^2_0 {(2t-4)} \, dt| +| \int\limits^6_2 {(2t-4)} \, dt|[/tex]
[tex]Distance (D) = |[t^2-4t]\right\{{{2}\atop{0}}\right.|+|[t^2-4t]\right\{{{6}\atop{4}}\right.|[/tex]
[tex]Distance (D) = |[2^{2}-8-0+0]| + |[6^{2} -24-4^{2} +16]|[/tex]
[tex]Distance (D) = |4-8|+|36-24-16+16|[/tex]
[tex]Distance (D) = 4+12[/tex]
[tex]Distance (D) = 16 meters[/tex]
Hence, the total distance traveled by the particle is 16 meters
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Paul and Brian win some money and share it in the ratio 3:4. Paul gets £30. How much did Brian get?
Answer:
£10
Step-by-step explanation:
3:4 is equal to 3/4 (three-quarters)
Paul gets 75%, and Brian gets 25%.
Paul gets £30. 30 is 3/4 of what number?
75/100 × x = 30
Multiply both sides by 100 and divide both sides by 75
x = 30 × 100/75
x = 30 x 1.33333333333
x= 40
£30 is 75% of £40
30/40 x 100 = 75%
10/40 x 100 = 25%
Brian gets £10
using the digits $1$, $2$, $3$, $4$, $5$, how many even three-digit numbers less than $500$ can be formed if each digit can be used more than once?
The number of three-digit numbers less than $500 that cab be formed is 90.
How to form three digit numbers numbers from a set?The formation of the numbers involves the permutation of the first three even digits. Also, permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear.
The sequence include the following: $1$, $2$, $3$, $4$, $5$,
The number must be less than $500$.
In order to find the number of even digits numbers to be fixed, we select the even numbers.
So, the number of possible arrangements = [tex]6_{P_{2} }[/tex]
[tex]\frac{6!}{(6-2)!}[/tex]
=[tex]\frac{6*5*4*3*2*1}{4*3*2*1}[/tex]
6*5
=30
Similarly, fixing the units digit as 4
The number pf possible arrangements = [tex]6_{P_{2} }[/tex]
=6*5=30
Fixing the unit digit as 6
The number of arrangements possible is [tex]6_{P_{2} }[/tex]
5*6 = 30
Therefore three-digit even numbers that can be formed is:
30+30+30=90
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7.3.3: basic class definition. define the missing method. licensenum is created as: (100000 * customid) licenseyear, where customid is a method parameter. sample output with inputs 2014 777:
Program in java ,
public int createLicenseNum(int customID){
licenseNum = (100000 * customID) + licenseYear;
return (licenseNum); }
createLicenseNum method takes customID as its parameter. The formula function :
licenseNum = (100000 * customID) + licenseYear;
100000 is multiplied to the customID and the result is added to the licenseYear and is assignedlicenseNum.
When the CreateLicenseNum function is invoked it computes and returns the value of licenseNum as:
licenseNum = (100000 * customID) + licenseYear;
= (100000 * 777) + 2014
= 77700000 + 2014
licenseNum = 77702014
Output is:
Dog license: 77702014
Function call JAVA:
public class CallDogLicense {
public static void main(String[] args) {
DogLicense dog1 = new DogLicense();
dog1.setYear(2014);
dog1.createLicenseNum(777);
System.out.println("Dog license: " + dog1.getLicenseNum()); //calls getLicenseNum to get the computed licenceNum value
return; } }
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I went into a store with a 70% off sign on the door. I found a pair of pants that were originally $49.99 for $30.00 I didn't think this was 70% off so I had to make sure. What were the real percentage off?
PLEASE HELP!!!!!!!!!
Answer:
The answer you are looking for would be 60% off.
Step-by-step explanation:
On a calculator, set up this equation:
0.60 x 49.99 = 29.994, rounded is $30.00
(Do this with all answer choices, just replace 0.60 with 0.70, 0.40 and so on).
But, 60% would be the answer.
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Given vectors u = (-8,-5) and
v = (-1, -2), find the sum u + v and write
the result in component form.
Answer:
u + v = < - 9, - 7 >
Step-by-step explanation:
to sum u and v add the corresponding x and y components of the 2 vectors
u + v
= < - 8, - 5 > + < - 1, - 2 >
= < - 8 - 1, - 5 - 2 >
= < - 9, - 7 >
