Which linear relationship can be described as a function with direct variation?
Answers
Answer:
A, B , C and D
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
Related Questions
A friend of ours takes the bus five days per week to her job. The five waiting times until she can board the bus are a random sample from a uniform distribution on the interval from 0 to 10 min. Determine the pdf and then the expected value of the largest of the five waiting times.
Answers
The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.
The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.
In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.
The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5
where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4
The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33
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2x2 + 7x = 3
x = 0.60 and x = −2.60
x = −0.60 and x = 2.60
x = 0.39 and x = −3.89
x = −0.39 and x = 3.89
Answers
Answer:
(c) x = 0.39 and x = -3.89
Step-by-step explanation:
You want the solutions to the quadratic equation ...
2x² +7x = 3.
Root relationsThe roots of the equation ...
x² +bx +c = 0
have a sum of -b and a product of c.
Subtracting 3 and dividing the equation by 2, we have ...
2x² +7x -3 = 0 . . . . . . . . subtract 3
x² +3.5x -1.5 = 0 . . . . . . divide by 2
This tells us the sum of the roots is -3.5.
Answer choice C has that sum: x = 0.39, x = -3.89.
__
Additional comment
The sums of the answer choices are ...
0.60 -2.60 = -2.00
-0.60 +2.60 = 2.00
0.39 -3.89 = -3.50
-0.39 +3.89 = 3.50
Sometimes, checking the offered choices is the simplest way to find the answer.
Here, checking the sum gives the best discriminator of right from wrong. The products are all near -1.5, so that is less helpful.
We can see the relation by considering the factored form:
(x -p)(x -q) = x² -(p+q)x +pq . . . . . . where p and q are the roots
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Consider a lottery with three possible outcomes: a payoff of -20, a payoff of 0, and a payoff of 20. The probability of each outcome is 0.2, 0.5, and 0.3, respectively. Compute the expected value of the lottery, variance and the standard deviation of the lottery. (10 marks) b) Given the start-up job offer lottery, one payoff (I1) is RM110,000, the other payoff (I2) is RM5,000. The probability of each payoff is 0.50, and the expected value is RM55,000. Utility function is given by U(I) = √I Equation: pU(I1) + (1-p)U(I2) = U(EV – RP) Compute the risk premium by solving for RP.
Answers
A lottery has 3 possible outcomes, they are -20, 0, and 20. The probability of each outcome is 0.2, 0.5, and 0.3, respectively. Compute the expected value of the lottery, variance, and the standard deviation of the lotteryExpected Value:
The expected value of the lottery is:
E(x) = ∑[x*P(x)]Where x is each possible outcome, and P(x) is the probability of that outcome.
E(x) = -20(0.2) + 0(0.5) + 20(0.3) E(x) = -4 + 0 + 6 E(x) = 2So, the expected value of the lottery is 2. Variance:The variance of a lottery is:
σ² = ∑[x - E(x)]²P(x)Where x is each possible outcome, P(x) is the probability of that outcome, and E(x) is the expected value of the lottery.
σ² = (-20 - 2)²(0.2) + (0 - 2)²(0.5) + (20 - 2)²(0.3) σ² = 22.4
So, the variance of the lottery is 22.4.
Standard Deviation:
The standard deviation of a lottery is the square root of the variance. σ = √22.4 σ ≈ 4.73So, the standard deviation of the lottery is approximately 4.73.
b) Given the start-up job offer lottery, one payoff (I1) is RM110,000, the other payoff (I2) is RM5,000. The probability of each payoff is 0.50, and the expected value is RM55,000. The utility function is given by U(I) = √I. The equation is:pU(I1) + (1-p)U(I2) = U(EV - RP)
Where U(I) is the utility of income I, p is the probability of the high payoff, I1 is the high payoff, I2 is the low payoff, EV is the expected value of the lottery, and RP is the risk premium.
Substituting the given values, we have:0.5√110000 + 0.5√5000 = √(55000 - RP)Simplifying, we get:
550√2 ≈ √(55000 - RP)Squaring both sides, we get:302500 = 55000 - RPRP ≈ RM29500So, the risk premium is approximately RM29500.
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Jacob wanted to purchase a boat. The dealership offered the following payment terms for Jacob: an $800 down payment and $275 a month for 36 months. If Jacob makes all the payments on time, he will be refunded $400. What will be the total cost of the boat, if Jacob makes all of his payments on time? *
Answers
Answer:
do 800 + 275x 36 in a calculator for ur answer
Step-by-step explanation:
An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction s 45° e. what is the plane’s ground speed?
Answers
We can infer and logically deduce that airplane’s ground speed is equal to 658.94 kph.
Given the following data:
Airplane speed = 700 kph.Wind speed = 60 kph.Angle = 45° due East.What is speed?Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured in kilometer per hour (kph).
Mathematically, speed can be calculated by using this formula;
Speed = distance/time
How to calculate the plane’s ground speed?In order to calculate the airplane’s ground speed, we would apply the law of cosine:
C² = A² + D² - 2(A)(D)cosθ
Substituting the given parameters into the formula, we have;
C² = 700² + 60² - 2(700)(60)cos45
C² = 434,203.03
C = √434,203.03
C = 658.94 kph.
In conclusion, we can infer and logically deduce that airplane’s ground speed is equal to 658.94 kph.
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Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151,
149
What is the variance rounded to the nearest tenth?
Answers
Answer:
The variance rounded to the nearest tenth is 691.8
Step-by-step explanation:
Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
No. of observations n = 11
\(Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157\)
Formula of variance : \(\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}\)
\(\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}\)
\(\sigma^2=\frac{7610}{11}\)
\(\sigma^2=691.81\)
Hence the variance rounded to the nearest tenth is 691.8
I need help on this!
Answers
Answer:
B
Step-by-step explanation:
The maximum it reaches is 14, therefore the maximum is 14.
The lowest it can ever be is 0. A plant cannot be negative in terms of height.
What is 5x-2+7x-5 simplified?
Answers
Answer:
12x -7
Step-by-step explanation:
A party planner estimated that 120 people would attend an event, but only 100 people showed up. What was the planner's percent of error?
Answers
The party planner estimated that 120 people will attend the event but only 100 people showed up. The percentage error can be calculated below
\(\begin{gathered} \text{percentage error = }\frac{\text{estimated -exact}}{\text{exact}}\times100 \\ \text{percentage error = }\frac{120-100}{100}\times100 \\ \text{percentage error }=\frac{2000}{100} \\ \text{percentage error }=\text{ 20\%} \end{gathered}\)what is the simplified form of 12x squaroot 900x^2y^4z^6
Answers
Answer:
Answer:
360x^2 * y^2 *z^3
Step-by-step explanation:
1. You have the following expression given in the problem above:
12x squaroot 900x^2y^4z^6
2. To simplify it, multiply all the exponents inside the square root by , because
12x(900x^2 * x^4 * z^6)^1/2
3. Then, you have:
900.5=30
x(2)(1/2)=x
x(4)(1/2)=y^2
z(6)(1/2)=z^3
4. Therefore, the simplified form is:
360x^2 * y^2 *z^3
Step-by-step explanation:
You bought a binder for $5 and four notebooks. You spent a total of $17. How much did each notebook cost?
Answers
Answer:
$3
Step-by-step explanation:
17 - 5 = 12 divided by 4 = 3
Answer:
$3
Step-by-step explanation:
17 - 5 = 12
12/4 = 3
a water bottling facility has a mean bottling rate of 35.2 thousand bottles per hour with a standard deviation of 2.04 thousand bottles. a nearby cola bottling facility has a mean bottling rate of 26.9 thousand bottles per hour with a standard deviation of 1.51 thousand bottles. one wednesday from noon to 1:00 p.m., the water bottling facility bottled 37.4 thousand bottles of water, and the cola bottling facility bottled 28.8 thousand bottles of cola. which facility increased their efficiency more during that hour?
Answers
During that hour, the cola bottling facility increased their efficiency more compared to the water bottling facility.To determine which facility increased their efficiency more during that hour, we need to calculate the deviation from the mean for each facility.
For the water bottling facility, the deviation is calculated as:
(37.4 - 35.2) / 2.04 = 1.08
For the cola bottling facility, the deviation is calculated as:
(28.8 - 26.9) / 1.51 = 1.26
Since the deviation for the cola bottling facility is higher, this means that they had a larger increase in efficiency during that hour compared to the water bottling facility.
To determine which facility increased their efficiency more during that hour, we will calculate the number of standard deviations away from the mean for each facility's performance.
1. Calculate the deviations for each facility:
Water bottling facility:
Deviation = (Actual bottles - Mean bottles) / Standard deviation
Deviation = (37.4 - 35.2) / 2.04
Deviation ≈ 1.08
Cola bottling facility:
Deviation = (Actual bottles - Mean bottles) / Standard deviation
Deviation = (28.8 - 26.9) / 1.51
Deviation ≈ 1.26
2. Compare the deviations:
The cola bottling facility has a higher deviation (1.26) than the water bottling facility (1.08).
Conclusion:
During that hour, the cola bottling facility increased their efficiency more compared to the water bottling facility.
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Work out the mean for the data set below:
9.7 ,4.5,1.9,8,6.6
HELP ME
Answers
Answer:
6.14
Step-by-step explanation:
Write a function A that models the amount to which the account grows after T years
Answers
item (a):
Using the formula given in the question, we have
\(A=P(1+\frac{r}{n})^{nt}\)Our principal investment P is equal to $4000, our interest r is 3 1/4 %, writting this in decimal form we have
\(3\frac{1}{4}=3+\frac{1}{4}=3.25\)Since it is a percentage, to write in decimal we divide by 100
\(\frac{3.25}{100}=0.0325\)And finally, our n value is 365 since it is compounded daily, and we have 365 days in a year.
Then, our function is
\(A(t)=4000(1+\frac{0.0325}{365})^{365t}_{}\)item (b):
To find A(30), we just need to evaluate this value in the function we created before
\(A(30)=4000(1+\frac{0.0325}{365})^{365\cdot30}_{}=10604.2085587\ldots\approx10604.21\)This means that with an investment of $4000, with this rate Joe is going to have a return of $10604.21.
reiko drove from point a to point b at a constant speed, and then returned to a along the same route at a different constant speed. did reiko travel from a to b at a speed greater than 40 miles per hour?
Answers
Answer:
Step-by-step explanation:
Unfortunately, I cannot answer this question without additional information about the distances traveled and the time taken by Reiko to travel from point A to point B and back to point A.
The speed at which Reiko traveled is calculated as distance divided by time. Therefore, we need to know both the distance and time for each leg of the journey to determine the speed.
Without this information, it is not possible to determine whether Reiko traveled from A to B at a speed greater than 40 miles per hour.
What is the difference between rational and irrational numbers?
put ur answer in simplest form.
Answers
Answer:
so irrational numbers cannot be written in a fractional form and rational numbers are finite.. both numerator and denominator are whole numbers
find parametric equations for the line segment from (-3,18,31) to (11,-4,48).
Answers
The parametric equations for the line segment from (-3, 18, 31) to (11, -4, 48) can be expressed as follows:
x(t) = -3 + (11 - (-3))t
y(t) = 18 + (-4 - 18)t
z(t) = 31 + (48 - 31)t
In these equations, t represents the parameter that varies along the line segment. By plugging in different values of t, we can obtain corresponding points on the line segment.
The x(t) equation represents the x-coordinate of the line segment, where -3 is the initial x-coordinate and (11 - (-3)) represents the change in the x-coordinate over the segment. By multiplying this change by t, we can determine the specific x-coordinate at any point along the line segment.
Similarly, the y(t) equation represents the y-coordinate, where 18 is the initial y-coordinate and (-4 - 18) represents the change in the y-coordinate. Multiplying this change by t gives us the y-coordinate at any point.
Lastly, the z(t) equation represents the z-coordinate, where 31 is the initial z-coordinate and (48 - 31) represents the change in the z-coordinate. Multiplying this change by t allows us to determine the z-coordinate at any point along the line segment.
By using these parametric equations, we can generate points that lie on the line segment connecting the given two points and describe the entire line segment in three-dimensional space.
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please help me grades are do today
Answers
Answer:
28
Step-by-step explanation:
\(sin=\frac{opp}{hyp}\)
\(cos = \frac{adj}{hyp}\)
\(cos^{-1}\left(\frac{45}{51}\right)\)
which is 28.07 degree
\(sin\left(28.07\right)=\frac{x}{51}\)
x= 23.99
23.99+4=h=28
What is the slope of the line that passes through the points 4,5 and 12,7
Answers
(7-5)/(12-4) = 2/8 = 1/4
The slope is 1/4
What is DF=
Help me please thank you :)
Answers
The value of DF = 20.
What is similarity?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given:
Using theorem
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
ΔSDF/Δ RTY = (SD/RT)= (DF/TY)= (FS/ YR)
ar ΔSDF² / ar ΔRTY² = 16/81
SD/ RT = 4/9
SD = 4x, RT= 9x
SD= 8
4x = 8
x = 2
So,
RT= 9*2 = 18
SF = RT -2
SF = 16
(SD/RT)= (FS/ YR)
8 / 18 = 16/ YR
YR= 36
TY= 9 +RY = 45
(DF/TY)= (FS/ YR)
DF / 45= 16/ 36
DF=20
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A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
Answers
Step-by-step explanation:
(3.1415 * 10^2) area of base
(17) height
volume = area of base * height
volume = 3.1415 * 10^2 * 17
The volume of the cylinder is 533.8 cubic inches to the nearest tenths place
Volume of Cylinder based problem:What information do we have?
Diameter of cylinder = 20 inch
Height of cylinder = 17 inch
Volume of Cylinder = πr²h
Volume of Cylinder = (3.14)(20/2)²(17)
Volume of Cylinder = (3.14)(10)(17)
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Translate the sentence into an equation.
Two less than the product of 5 and a number is equal to 4.
Use the variable b for the unknown number.
Answers
Answer:
\(5b - 2 = 4\)
Step-by-step explanation:
two less than implies that we have to subtract 2 from the result of multiplication of 5 and a variable, therefore we get the equation:
\(5b - 2\)
equate it to 4.
Hopefully, this answer helped you
will give brainliest
Answers
Answer:
Here is your answer
Step-by-step explanation:
Bearing from point A to B, can be calculated as,
beta = atan * 2(X, Y)
where, X and Y are two quantities and can be calculated as:
X=cos theta b^ * s AL
Y=cos theta a^ * sin theta b-sin theta a^ * cos theta b^ * cos Delta l put the values and calculate
In City A, the temperature rises 4(degrees)F from 8 A.M. To 9 A.M. Then the temperature drops 7F from 9 A.M. To 10 A.M. In City B, the temperature drops 6F from 8 A.M. To 9 A.M. Then the temperature drops 2F from 9 A.M. To 10 A.M. Write an expression that represents the change in temperature from 8 A.M. To 10 A.M. For each city. Simplify and interpret each sum. Use pencil and paper. Which city has the greater change in temperature?
Answers
Answer:
City A:
\(A - 3\)
City B:
\(B - 8\)
City B has a greater change in temperature.
Step-by-step explanation:
City A:
Let the initial temperature of city A at 8 AM = \(A\ ^\circ F\)
Temperature change from 8 AM to 9 AM: 4\(^\circ F\) rise
Temperature at 9 AM = \((A+4)\ ^\circ F\)
Temperature change from 9 AM to 10 AM: 7\(^\circ F\) drop
Temperature at 9 AM = \((A+4 -7 )\ ^\circ F = (A-3)\ ^\circ F\)
Total change in temperature = \((A - 3) - A = 3\ ^\circ F\) drop
City B:
Let the initial temperature of city B at 8 AM = \(B\ ^\circ F\)
Temperature change from 8 AM to 9 AM: 6\(^\circ F\) drop
Temperature at 9 AM = \((B-6)\ ^\circ F\)
Temperature change from 9 AM to 10 AM: 2\(^\circ F\) drop
Temperature at 9 AM = \((B-6 -2 )\ ^\circ F = (B-8)\ ^\circ F\)
Total change in temperature = \((B - 8) -B = 8\ ^\circ F\) drop
Therefore, the answer is:
City B has a greater change in temperature.
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x-7)^2 - 64
lesser x=
greater x=
Answers
(x-7)^2 -64 = 0
(x-7)^2 = 64
(x - 7) = + 8 or - 8
x = 7 + 8 or 7 - 8
x = 15 or -1
Lesser x = 15
Greater x = -1
how do sociologists know if the sample they are using is representative? a. if the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
Answers
If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.
No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.
Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.
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The complete question is;
How do sociologists know if the sample they are using is representative?
a. If the people in the sample freely volunteered to serve as representatives
b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds
c. If the sample has the same mix of people, in the same proportions, as the population being studied
d. If the participants have been interviewed to reveal possible bias.
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Answers
Domain: (-6, -1]
This is where the graph lines up with the x-axis.
Range: [-6, 4)
This is where the graph lines up with the y-axis.
See the two pictures for a visual reason why.
Southeastern College began the year with endowment investments of $1,210,000 and $710,000 of restricted cash designated by a donor for capital additions. 1. During the year an additional $502,000 donation was received for capital additions. These funds together with those contributed in the prior year were used to purchase 150 acres of land adjacent to the university. 2. An alum contributed $210,000 to the permanent endowment and pledged to provide an additional $420,000 early next year. The cash was immediately invested. 3. By terms of the endowment agreement, interest and dividends received on the investments are restricted for scholarships. Gains or losses from changes in the fair value of the investments, however, are not distributed but remain in the endowment. During the year $50,000 of interest and dividend were received on endowment investments. 4 . At year-end, the fair value of the investments had increased by $7,100. Required: Prepare journal entries to record the above transactions assuming: a. Southeastern College is a public university. b. Southeastern College is a private university. Required: Prepare journal entries to record the above transactions assuming: a. Southeastern College is a public university. b. Southeastern College is a private university. Complete this question by entering your answers in the tabs below. Prepare journal entries to record the above transactions assuming Southeastern College is a public university. a transaction/event, select "No Journal Entry Required" in the first account field.) Journal entry worksheet 456 Record the donation received for capital addition. Note: Enter debits before credits.
Answers
Journal entries for Southeastern College as a public university:
1. Donation received for capital addition:
Restricted Cash - Capital Additions Dr. $502,000
Donation Revenue Cr. $502,000
2. Contribution to the permanent endowment:
Cash Dr. $210,000
Permanently Restricted Net Assets Cr. $210,000
3. Interest and dividends received on endowment investments:
Restricted Cash - Scholarships Dr. $50,000
Investment Income Cr. $50,000
4. Increase in fair value of investments:
Investment Gain Dr. $7,100
Unrestricted Net Assets Cr. $7,100
To record the transactions for Southeastern College as a public university, the following journal entries are made:
1. Recording the donation received for capital addition:
Restricted Cash - Capital Additions Dr. $502,000
Donation Revenue Cr. $502,000
The restricted cash is increased by $502,000, representing the additional donation received for capital additions. The corresponding revenue account is credited.
2. Recording the contribution to the permanent endowment:
Cash Dr. $210,000
Permanently Restricted Net Assets Cr. $210,000
The cash received from the alum is debited, and the permanently restricted net assets (part of the endowment) are credited.
3. Recording interest and dividends received on endowment investments:
Restricted Cash - Scholarships Dr. $50,000
Investment Income Cr. $50,000
The interest and dividends received on the endowment investments are debited to restricted cash for scholarships, and the investment income account is credited.
4. Recording the increase in fair value of investments:
Investment Gain Dr. $7,100
Unrestricted Net Assets Cr. $7,100
The increase in the fair value of the investments is recorded as an investment gain. The unrestricted net assets account is credited, as gains or losses from changes in fair value are not distributed and remain in the endowment.
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A triangle has side lengths of (9.9c+5.1d) centimeters, (6.2c+1.6f) centimeters, and (2.5f+6.2d) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answers
The expression that represents the perimeter of the triangle with side lengths (9.9c+5.1d) centimeters, (6.2c+1.6f) centimeters, and (2.5f+6.2d) centimeters can be found by adding up the lengths of all three sides.
To find the perimeter of the triangle, we need to add the lengths of all three sides. The given side lengths are (9.9c+5.1d) centimeters, (6.2c+1.6f) centimeters, and (2.5f+6.2d) centimeters. Therefore, the expression representing the perimeter is:
Perimeter = (9.9c+5.1d) + (6.2c+1.6f) + (2.5f+6.2d)
Simplifying the expression, we get:
Perimeter = 9.9c + 5.1d + 6.2c + 1.6f + 2.5f + 6.2d
Combining like terms, we obtain:
Perimeter = (9.9c + 6.2c) + (5.1d + 6.2d) + (1.6f + 2.5f)
Perimeter = 16.1c + 11.3d + 4.1f
Therefore, the expression that represents the perimeter of the triangle is 16.1c + 11.3d + 4.1f.
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Why are lines AC and RS skew lines?
They lie in different planes and will never intersect.
They lie in the same plane but will never intersect.
They lie in different planes but will intersect if a plane
is drawn to contain both lines.
They lie in different planes and will be parallel if a
plane is drawn to contain both lines.
Answers
Answer: They lie in different planes and will never intersect.
Step-by-step explanation:
Skew lines are lines that do not intersect and that also are not parallel. For example, if we were in a 2d dimensional space, the lines should intersect or be parallel, so from this, we know that skew lines only exist in 3d or above.
And also from that, we can conclude that skew lines are lines that do not intersect and must live in different planes.
Then the correct option is the first one:
They lie in different planes and will never intersect.
Answer:
A. They lie in different planes and will never intersect.
Step-by-step explanation: