Answer:
4.60
Step-by-step explanation:
multiply 5.75 and 0.80 to get 4.60
Answer:
460
Step-by-step explanation:
x/80 = 5 3/4 or 23/4
23*80= 1,840
1,840/4 = 460
a cat went from a to b a distance of 20 kilometres in one 1/2 hours but return in one hour calculate the average speed for the whole journey
Answer: 16 kph
Step-by-step explanation:
Average Speed = Total Distance/ Total Time
Distance = Speed x Time
The Distance between A and B is 20 kph
Time(A-B) = 1.5 hrs
Time(B-A) = 1 hour
Total Time = 2.5 hrs
Total Distance = 20 + 20 = 40 km
Average Speed = 40 km / 2.5 hrs = 16 kmph
Roberto wants to buy a $40 gift for his father. He finished one odd job in 4 hours at $3.75 an hour. He is now working at a job which pays $4.00 an hour. How many hours does he need to work to earn the money he needs?
Step-by-step explanation:
amount left for the money to reach $40
=40-3.75
=36.25
using a method of proportion,
If $4 : 1 hour,then
$36.25 : ?
if more, less divides.
= 36.25 / 4 ×1
=36.25/4
=9.0625 approximately 9 hours
Roberto should work for 6.25 hours to earn the money he needs, solved using linear equations in one variable.
What are linear equations in one variable?Linear equations in one variable are a relation between two algebraic expressions, involving not more than one variable.
The expressions are a combination of terms and terms are combinations of variables and constants. These terms are separated by mathematical operations.
How to solve the question?In the question, we are informed that Roberto wants to buy a $40 gift for his father. He finished one odd job in 4 hours at $3.75 an hour. He is now working at a job that pays $4.00 an hour.
We are asked how many hours he needs to work to earn the money he needs.
First, we calculate how much he earned from working in the first place.
He worked there for 4 hours at $3.75 an hour.
Therefore, his total income = Time * Income per unit time = $ (4 * 3.75) = $ 15.00.
Now, we calculate how much more money he needs.
More money needed = Total money needed - Money already earned,
or, more money needed = $40 - $15 = $25.
Therefore, Roberto works in second place to earn $25.
The rate at which he was working = $4 per hour.
We assume the time he worked for was x hours.
Therefore, his total income = Time * Income per unit time,
or, His total income = $ (x*4) = $4x.
As his total requirement is $25, we equate his earnings to his requirement to get the required linear equation in one variable:
4x = 25.
We find the hours he will work for, by solving this equation, by dividing both sides by 4:
4x/4 = 25/4,
or, x = 6.25.
Therefore, Roberto should work for 6.25 hours to earn the money he needs, solved using linear equations in one variable.
Learn more about linear equations in one variable at
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Three judges measure the lap times of a runner and each measurement is different from the others by a few hundredths of a second. The most likely reason for this difference is
Answer:
Systematic error
Step-by-step explanation:
Assuming that none of the judges are biased, the most likely reason for this difference is the occurrence of systematic errors.
Systematic errors are errors introduced by inaccuracy in the experimental design, be it in the observation or measurement process.
In this case, the reaction time from observing the finish and stopping the clock for each judge might be different, which configures a systematic error.
A bowling ball of mass 9 kg hits a wall going 11 m/s and rebounds at a speed
of 8 m/s. What was the impulse applied to the bowling ball?
The Answer is 171 kg m/s
0.0% complete This is a Numeric Entry Question; skip ahead to question content This question requires a numeric answer Answer here Confirm Q. One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and 18 to each of his four children. How much will each child receive? $ _____
Answer:
$9,000
Step-by-step explanation:
The worth of the estate = $72,000
The client leaves half of his estate to charity, and 1/8 to each of his four children.
Therefore, the amount each of the child will receive
[tex]=\dfrac18 \times \$72,000\\\\=\$9,000[/tex]
Each child will receive $9,000.
Answer:
Step-by-step explanation:
An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the resulting region is actually a random variable R with the following pdf. f(r) = 3/4 [1 ? (12 ? r)^2] 11 ? r ? 13 0 otherwise
What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
Answer:
expected area = 453.20 m^2
Step-by-step explanation:
The given data 11 ≤ r ≤ 13
[tex]\left \{ {{3/4(1-(12-r)^2} \atop {0}} \right.[/tex] o / w
Th expected area of the insulating circular region can be calculated using
= E([tex]\pi r^2 )[/tex]
= [tex]\pi E(r^2)[/tex]
we will have to calculate [tex]E(r^2)[/tex]
attached is the remaining part of the solution
If 12 5 )tan( = x and π
Answer:
[tex]sinx=-\dfrac{12}{13}[/tex]
[tex]cosx=-\dfrac{5}{13}[/tex]
[tex]cotx=\dfrac{5}{12}[/tex]
Step-by-step explanation:
Given that:
[tex]\dfrac{12}{5} = tan(x)[/tex]
[tex]\pi <x < 3\pi/2[/tex]
i.e. x is in 3rd quadrant. So tan is positive.
To find:
sin(x), cos(x), and cot(x).
Solution:
Given that:
[tex]\dfrac{12}{5} = tan(x)[/tex]
We know by trigonometric identities that:
[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]
Comparing with the given values:
[tex]\theta=x[/tex]
Perpendicular = 12 units
Base = 5 units
Using pythagorean theorem, we can find out hypotenuse:
According to pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]
[tex]\Rightarrow Hypotenuse=\sqrt{12^2+5^2}\\\Rightarrow Hypotenuse=\sqrt{169} = 13 units[/tex]
We can easily find out the values of:
[tex]sinx, cos x\ and\ cot x[/tex]
[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]sinx =\dfrac{12}{13}[/tex]
Given that x is in 3rd quadrant, sinx will be negative.
[tex]\therefore sinx =-\dfrac{12}{13}[/tex]
[tex]sin\theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]cosx =\dfrac{5}{13}[/tex]
Given that x is in 3rd quadrant, cosx will be negative.
[tex]\therefore cosx =-\dfrac{5}{13}[/tex]
[tex]cot\theta = \dfrac{1}{tan\theta}[/tex]
Given that x is in 3rd quadrant, cotx will be positive.
[tex]cotx = \dfrac{1}{\dfrac{12}{5}} = \dfrac{5}{12}[/tex]
The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 under a pressure of 15psi (pounds per square inch). Write the equation that relates the volume, V, to the pressure, P. What would be the volume of this gas if the pressure was increased to 25psi?
Answer:
Step-by-step explanation:
When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be
V = k/P
If V = 370 in³ and P = 15psi, then
370 = k/15
k = 370 × 15 = 5550
The equation that relates the volume, V, to the pressure, P would be
V = 5550/P
if the pressure was increased to 25psi, the volume would be
V = 5550/25 = 222 in³
Answer:
v=5550/p
222
Step-by-step explanation:
the flagpole casts an 8 foot shadow and is 20 feet high, At the same time the oak tree casts a 12 foot shadow how tall is the tree
Answer:
30 feet
Step-by-step explanation:
We can use ratios to answer this question:
8 foot shadow: 20 feet high
Therefore if we multiply both sides by 1.5
12 foot shadow: 30 feet high
Element X decays radioactively with a half life of 11 minutes. If there are 670 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 26 grams?
The element X will take 22.10 minutes to decay to 26 grams.
What is radioactive radiation?The radioactive radiations are the radiations that an atom nucleus releases.
What is an arithmetic progression?It is a sequence of numbers which have common difference.
How to find the time?The decaying acts like an arithmetic progression in which a=670,d=-30.45 (per minute decaying) and n we have to find with the an value of 26 gram.
So, the formula of nth term of an arithmetic progression is
nth term=a+(n-1)d
26=670+(n-1)*(-30.45)
-644=-30.45n+30.45
-674.45=-30.45n
n=22.10 (after rounding off)
Hence the element X would take 22.10 minutes to decay to 26 grams.
Learn more about arithmetic progression at https://brainly.com/question/6561461
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Answer:
y=a(.5)^{\frac{t}{h}}
y=a(.5)
h
t
y=30 \hspace{15px} a=670 \hspace{15px} h=11 \hspace{15px} t=?
y=30a=670h=11t=?
30=670(.5)^{\frac{t}{11}}
30=670(.5)
11
t
\frac{30}{670}=\frac{670(.5)^{\frac{t}{11}}}{670}
670
30
=
670
670(.5)
11
t
0.0447761=(.5)^{\frac{t}{11}}
0.0447761=(.5)
11
t
\log(0.0447761)=\log((.5)^{\frac{t}{11}})
log(0.0447761)=log((.5)
11
t
)
\log(0.0447761)=\frac{t}{11}\log(.5)
log(0.0447761)=
11
t
log(.5)
Power Rule.
11\log(0.0447761)=t\log(.5)
11log(0.0447761)=tlog(.5)
Multiply by 11.
\frac{11\log(0.0447761)}{\log(.5)}=\frac{t\log(.5)}{\log(.5)}
log(.5)
11log(0.0447761)
=
log(.5)
tlog(.5)
Divide by log(.5).
t=\frac{-14.838489}{-0.30103}
t=
−0.30103
−14.838489
t=49.29239\approx 49.3 \text{ minutes}
t=49.29239≈49.3 minutes
Step-by-step explanation:
Thomas needs at least 8 apples to make an apple pie. He has 3 apples. If x represents the number of apples Thomas still needs, which inequality can be used to represent the situation? x + 3 less-than 8 x + 3 less-than-or-equal-to 8 x + 3 greater-than 8 x + 3 greater-than-or-equal-to 8
Answer:
x + 3 greater than or equal to 8 would be the solution
Answer:
its D
Step-by-step explanation:
2020 edge have a nice day!!!!!!!! <3
help me find the value of c please
Answer:
8
Step-by-step explanation:
[tex] \because \: p(x) \: is \: divisible \: by (x + 2) \\ \therefore \: x + 2 = 0 \implies \: x = - 2 \\ plug \: x = - 2 \: in \: p(x) \\ p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2 \\ p( - 2) = 4 ( - 8) + 4c - 2 + 2 \\ p( - 2) = - 32 + 4c \\ let \: p(x) = 0.. (\because remainder = 0)\\ \therefore \: 0 = - 32 + 4c \\ \therefore \: 32 = 4c \\ \therefore \: c = \frac{32}{4} \\ \huge \red{ \boxed{\therefore \: c = 8}}[/tex]
earning a 6% pay increase to current $62,900 annual salary
Answer:
Step-by-step explanation:
I assume you are asking for the new salary.
To find 1%, divide 62900 by 100.
629
Multiply this by 3.
1887
Add this to the original answer.
64787
A lottery game has balls numbered 1 through 21. What is the probability of selecting an even numbered ball or a 5?
Answer:
11/21
Step-by-step explanation:
There are 10 even numbers that lie between 1 and 21 (2,4,6,8,10,12,14,16,18, and 20). These 10 balls, plus the 5-ball equals a total of 11 balls that could get picked. Therefore, the probability of picking one of these balls is 11/21.
Ujalakhan01! Please help me! ASAP ONLY UJALAKHAN01. What's (x-1)(x-1)?
Answer:
[tex]x^2-2x+1[/tex]
Step-by-step explanation:
=> (x-1)(x-1)
Using FOIL
=> [tex]x^2-x-x+1[/tex]
=> [tex]x^2-2x+1[/tex]
Answer:
Step-by-step explanation:
simply :
(x-1)(x-1)= (x-1)²= x²-2x=1
What are the first two steps in solving the radical equation below?
√x - 6 +5 = 12
Look at picture(15 points)
Answer:
B
Step-by-step explanation:
Given
[tex]\sqrt{x-6}[/tex] + 5 = 12 ( subtract 5 from both sides )
[tex]\sqrt{x-6}[/tex] = 7 ( square both sides )
x - 6 = 49 ( add 6 to both sides )
x = 55
Answer:
B. Subtract 5 from both sides and then square both sides.
Step-by-step explanation:
First, subtract 5 from both sides in order to get [tex]\sqrt{x-6}=7^{2}[/tex]
Second, square both sides in order to get [tex]x-6=49[/tex] (p.s. squaring both sides gets rid of the square root)
Third, add 6 to both sides in order to get x=55
Last, see that the answer is B, as you had to subtract 5 from both sides and then square both sides to get your answer
There you go, and good luck on the other questions!
Colton makes the claim to his classmates that less than 50% of newborn babies born this year in his state are boys. To prove this claim, he selects a random sample of 344 birth records in his state from this year. Colton found that 176 of the newborns are boys. What are the null and alternative hypotheses for this hypothesis test
Answer:
Null hypothesis:[tex]p \leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]
Step-by-step explanation:
Information given
n=344 represent the random sample taken
X=176 represent the anumber of boys babies
[tex]\hat p=\frac{176}{344}=0.512[/tex] estimated proportion of boys babies
[tex]p_o=0.5[/tex] is the value that we want to check
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypotheis to verify
We want to check if the true proportion of boys is less than 50% then the system of hypothesis are .:
Null hypothesis:[tex]p\leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{0.512-0.5}{\sqrt{\frac{0.5(1-0.5)}{344}}}=0.445[/tex]
Answer:
p= 0.5
p>0.5
Step-by-step explanation:
How do I reflect over the x-axis?
Answer:
Whatever the coordinates are it will be (x,y) all yo have to do is make y negative and thats a refelection
Step-by-step explanation:
Reflection in the x -axis:
The rule for a reflection over the x -axis is (x,y)→(x,−y) .
You buy a 33-pound bag of flour for $9 or you can buy a 1- pound bag for $0.39. Compare the per pound cost for the large and small bag. How much is the pounds per dollars
Answer:
see below
Step-by-step explanation:
9 dollars / 33 lbs = .272727 dollars per lb
.39 / 1 lbs = .39 per lb
The large bag is less expensive
Each of two vectors, and , lies along a coordinate axis in the xy plane. Each vector has its tail at the origin, and the dot product of the two vectors is . Which possibility is correct?
Answer:
A lies along the positive x-axis and B lies along negative x - axis .
Step-by-step explanation:
They tell us that we have two vectors, A and B. And they give us a series of conditions for this, now, what would be the correct possibility.
A lies along the positive x-axis and B lies along negative x - axis .
This is because when both vectors will be in x axis but opposite to each other, then the angle between them will be 180 ° and cos180 ° is -1.
Please answer this correctly
Answer:
1/2
Step-by-step explanation:
The numbers that are odd on the spinner are 1, 3, and 5.
3 numbers out of 6.
3/6 = 1/2
P(odd)= 1/2
pls answer quickly!!!
Answer:
x = 90
y = 100
z = -10
Step-by-step explanation:
To find x and y in the above parallelogram ABCD as shown above, recall that one of the properties of a parallelogram is: the consecutive angles in a parallelogram are supplementary.
This means that the sum of angle A and angle B in the parallelogram ABCD = 180°.
Thus,
(x + 30)° + (x - 30)° = 180°
Solve for x
x + 30 + x - 30 = 180
x + x + 30 - 30 = 180
2x = 180
Divide both sides by 2
2x/2 = 180/2
x = 90
=>Find y:
Also, recall that opposite angles in a parallelogram are congruent.
This means, angle A and angle C in parallelogram ABCD above are equal.
Thus,
(x + 30)° = (y + 20)°
Plug in the value of x to solve for y
90 + 30 = y + 20
120 = y + 20
Subtract 20 from both sides
120 - 20 = y
100 = y
y = 100
=>Find z, if z = x - y
z = 90 - 100
z = -10
One hour is equal to how many seconds? Remember, 1 hour = 60 minutes and 1 minute = 60 seconds.
Hey there! :)
Answer:
3600 seconds.
Step-by-step explanation:
We can convert from seconds to hours using ratios:
60 seconds = 1 minute
60 minutes = 1 hour
Therefore:
[tex]\frac{60 sec}{1 min} * \frac{60 min}{1 hour} = \frac{3600sec}{1hour}[/tex]
There are 3600 seconds in an hour.
Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?
Answer:
(a + b + c)/2
Step-by-step explanation:
Number of kids in first class: a
Number of kids in second class: b
Number of kids in third class: c
The total number of kids in all classes is: a + b + c
The total number of kids is divided equally between 2 buses:
(a + b + c)/2
Answer:
(a + b + c)/2
Step-by-step explanation:
;)
if XP = 4 and PT = 1, in square units what is the area of the shaded portion of larger circleX?
(i guessed idk if it’s right)
Answer:
28.26
Step-by-step explanation:
The area of the circle with radius XT is πr² = 25π (the radius is 4 + 1 = 5) and the area of the circle with radius XP is 16π so the shaded area is 25π - 16π = 9π = 9 * 3.14 = 28.26.
You may use the unit circle shown below to help you answer this question.
Which of these are true statements about the sine function? Choose all that are correct.
A
For any value of θθ , sin(−θ)=sin(θ)sin(−θ)=sin(θ) .
B
For any value of θθ , sin(−θ)=−sin(θ)sin(−θ)=−sin(θ) .
C
The sine function is an odd function.
D
The sine function is an even function.
E
The sine function has a period of ππ .
F
The sine function has a period of 2π2π .
Answer:
B, C, F
Step-by-step explanation:
For the first part, this is the negative angle identity of the sine and cosine function. These identities are:
[tex]\cos(-\theta)=\cos(\theta)[/tex]
[tex]\sin(-\theta)=-\sin(\theta)[/tex]
Then (I believe I am reading this right), B is true. I am unsure because of the repeated value in the middle. The next piece is that sine is odd. By definition, an odd function is one such that:
[tex]f(-x)=-f(x)[/tex]
As we just demonstrated with the identities, sine obeys this and therefore is odd. Cosine, on the other hand, is even because it follows:
[tex]f(-x)=f(x)[/tex]
Last, the period of sine, or the distance on the x-axis it takes to complete one full wavelength, and the answer is [tex]2\pi[/tex]. If you look at a graph of the sine function, you will find that the wave repeats itself at the [tex]2\pi[/tex] mark and it does this with cosine as well.
John flies from Atlanta, Georgia to San Francisco, California. It takes 5.6 hours to travel 2100 miles against the head wind. At the same time,Debby flies from San Francisco to Atlanta. Her plane travels with the same average airspeed, but the tail wind, and her flight takes only 4.8 hours. Write a system of equation that relate time, airspeed, and wind speed to distance for each traveler. Solve the system to fine the air speed
Answer:
The average airspeed of the two planes is [tex]406.25\; \rm mph[/tex].
Step-by-step explanation:
Let [tex]x[/tex] denotes the average airspeed (in miles-per-hour) of the two planes. Let [tex]y[/tex] denote the average speed of wind (also in miles-per-hour) along that route.
John is travelling against the head wind. Therefore, his ground speed would be the difference between his airspeed and the speed of the wind. That is:
[tex]\begin{aligned} & v(\text{John, ground speed})\\ =& v(\text{John, airspeed}) - v(\text{wind speed}) \\=& x - y\end{aligned}[/tex].
On the other hand, Debby is travelling in the tail wind. Assume that Debby and John are taking the same route but in the opposite directions. The ground speed of Debby would be the sum of her airspeed and the speed of the wind:
[tex]\begin{aligned} & v(\text{Debby, ground speed})\\ =& v(\text{Debby, airspeed}) + v(\text{wind speed}) \\=& x + y\end{aligned}[/tex].
Keep in mind that:
[tex]\text{Distance Traveled} = \text{Average Speed} \times \text{Time}[/tex].
This equation can help relate time and ground speed to distance.
John traveled [tex]2100[/tex] miles in [tex]5.6[/tex] hours at a ground speed of [tex](x - y) \; \rm mph[/tex]. Therefore:
[tex]5.6\; (x - y) = 2100[/tex].
Similarly, Debby traveled [tex]2100[/tex] miles in [tex]4.8[/tex] hours at a ground speed of [tex](x + y)\; \rm mph[/tex]. Therefore:
[tex]4.8\; (x + y) = 2100[/tex].
Combine these two equations to obtain:
[tex]\left\lbrace\begin{aligned}& 5.6\; (x - y) = 2100 \\ & 4.8\; (x + y) = 2100\end{aligned}\right.[/tex].
Solve this system of equations for [tex]x[/tex] and [tex]y[/tex]:
[tex]\left\lbrace\begin{aligned}&x = 406.25 \\ &y = 31.25\end{aligned}\right.[/tex].
In other words:
the average airspeed of the two aircrafts is [tex]406.25\; \rm mph[/tex], while the average wind speed along that route is [tex]31.25\; \rm mph[/tex].Find a function Bold r (t )r(t) for the line passing through the points Upper P (0 comma 0 comma 0 )P(0,0,0) and Upper Q (1 comma 7 comma 6 )Q(1,7,6). Express your answer in terms of Bold ii, Bold jj, and Bold kk.
Answer:
[tex]r(t)=-ti-7tj-6tk[/tex]
Step-by-step explanation:
Given the points P(0,0,0) and Q(1,7,6).
We are to determine a function r(t) for the line passing through P and Q.
To do this, we express it in the form:
[tex]r(t)=r_0+tD,$ where:\\ r_0$ is the starting point and D is the direction vector.[/tex]
[tex]D=P-D=<0,0,0> -<1,7,6>=<-1,-7,-6)[/tex]
Therefore:
[tex]r(t)=<0,0,0>+t<-1,-7,-6>\\=<-t,-7t,-6t>\\$Therefore, the function for the line passing through P and Q is:$\\r(t)=-ti-7tj-6tk[/tex]
A study was conducted on 64 female college athletes. The researcher collected data on a number of variables including percent body fat, total body weight, lean body mass, and age of athlete. The researcher wondered if total body weight (TBW), lean body mass (LBM), and/or age are significant predictors of % body fat. All conditions have been checked and are met and no transformations were needed. The partial technology output from the multiple regression analysis is given below. How many degrees of freedom does the F-statistic have in this problem?
Answer:
Hello please your question is in-complete attached is the complete question
degree of freedom = -62.90 ( e )
Step-by-step explanation:
The formula for calculating the F-statistic/test statistic is
test - statistic = Coef ( LBW) / SE Coef ( LBW )
= -0.72399 / 0.01151
= - 62.90
the degree of freedom the F-statistic has = -62.90
F-statistic test is any statistical test in which the test statistic has an F-distribution under the null hypothesis. the value of the test can be gotten from running an ANOVA test or regression analysis on the statistical models
Using the definition of degrees of freedom, it is found that the F-statistic has 63 df.
When a hypothesis is tested, the number of degrees of freedom is one less than the sample size.
In this problem, the sample size is of n = 64.
Hence:
df = n - 1 = 64 - 1 = 63
The F-statistic has 63 df.
A similar problem is given at https://brainly.com/question/16194574
The new CD burner costs 12% less at the new electronics store. This statement shows the use ofwhich of the following concepts?
(a)Absolute change (c)Relative change
(b) Absolute difference (d) Relative difference
Answer:
Option D is correct.
This statement shows the use of relative difference.
Step-by-step explanation:
Taking each of the answer choices one at a time
- Absolute Change
This expresses the exact value of alterations or modifications that happen to a particular quantity. It gives exactly how much the value of the same quantity has changed at different times or conditions. The statement in this question compares two different quantities (price of new CD burner at two different stores), hence it doesn't give the absolute change.
- Absolute Difference
This expresses the exact value of the difference between two quantities. The statement in the question on its own cannot give us the absolute value of the difference between the cost of new CD burner at the two stores being compared. Hence, this isn't the correct answer.
- Relative Change
Thìs expresses how much a particular quantity has changed with respect to its value at some other period of time or under some other condition(s). The question in this statement compares two different quantities and isn't the right answer.
- Relative Difference
This expresses the difference between two quantities wit respect to or relative to one of the two quantities being compared. This is exactly what the statement in the question expresses by saying that the new CD burner costs 12% less at the new electronics store.
It compares the telative difference of the new CD burner at the new and old electronics store.
Hope this Helps!!!