Can someone pls help me with this ???

Can Someone Pls Help Me With This ???

Answers

Answer 1

Answer: x and y coordinate

Step-by-step explanation:


Related Questions

pleaseee help 5 mins due The dependent variable, g, represents the gas mileage for a vehicle. Select all the variables that can represent an independent variable in this situation.



The color of the interior



The age of the vehicle



The horsepower of the engine



The weight of the vehicle
The dealership where the vehicle was purchased

Answers

Answer:

age, horsepower, weight

Step-by-step explanation:

Answer:

the age, horsepower of engine, and weight

Step-by-step explanation:

the interior and place you purchased it has nothing to do with the gas mileage.

Which expreion have a quotient of 6? Select all that apply. 0. 48 ÷ 0. 8
4. 8 ÷ 8
0. 48 ÷ 0. 08
4. 8 ÷ 0. 8
4. 8/0. 8

Answers

Expreion have a quotient of 6 is 0. 48 ÷ 0. 08.

What is quotient?

In mathematics, the quotient is the result of performing division operations on two integers. It is essentially the outcome of the division procedure. In arithmetic division, the terms divisor, dividend, quotient, and remainder are employed in four different ways.Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

0. 48 ÷ 0. 8

=0.06

The solution for Long Division of \($\frac{4.8}{8}$\) is 0.6

The solution for Long Division of \($\frac{0.48}{0.08}$\) is 6.

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4. What are deductions?

A.)the amount of money added to the gross pay for commission-based sales

B.)the amount of money included with tips

C.)the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

D.)incentives employees earn for the amount sold

Answers

Answer:

C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

Step-by-step explanation:

Answer:

the answer is C.) the amount of money subtracted from the gross pay earned for things like taxes, medical benefits, and retirement benefits

How can systems of linear equations with two variables be solved using algebraic methods?

Answers

Answer: The systems are solved by solving for one variable in one of the equations, then substituting that equation into the second equation. Solve for a in the second equation, then substitute the second equation into the first. The Elimination Method: Both equations are in standard form:            Ax + By = C.

the area of a rectangle that measures 7 yards wide and 8 yards long is

Answers

The area of the rectangle is 56 square yards.

What is the area of rectangle?

The area of a rectangle is the amount of space or surface inside the shape, measured in square units. It is calculated by multiplying the length of the rectangle by its width.

The formula for the area of a rectangle is:

Area = length x width

In this case, the width is 7 yards and the length is 8 yards. Therefore, the area of the rectangle is:

Area = 7 yards x 8 yards = 56 square yards

So the area of the rectangle is 56 square yards.

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Solve by completing the square: x^2+3x-9=0

Answers

Step-by-step explanation:

x=-4.854 or x=1.854

hope this helps

Answer:

C edge 2020

Step-by-step explanation:

i got it right on the practice.

The first row of an auditorium has 42 seats. Each row after the first has three more seats than the row before it.

A.) write an equation for finding the number of seats in the nth row

I just need to know what the equation is pls

Answers

Answer:

42 + 3(n - 1)

Step-by-step explanation:

We can model this situation with an arithmetic sequence where n is the row number.

Start off with the first row. We know that there are 42 seats to begin with. Since the starting value for this sequence won't change (unless someone breaks or adds another chair), we can represent it as a constant, or a coefficient without a variable.

# of seats in the 1ˢᵗ row = 42

Then, for each row after that, there are 3 more seats added. Since the total amount of seats added since the first row varies by each row, we have to use a variable to represent this change. The variable's coefficient represents the amount of seats added per row.

# of seats in the nᵗʰ row = 42 + 3n

However, this initial attempt is incorrect, as if we test it with the first row (when n = 1), we get 42 + 3(1), which is not equal to 42. We can account for this shifting in the + 3 (because we don't want to apply it to the first row) by subtracting 1 from n:

# of seats in the nᵗʰ row = 42 + 3(n - 1)

Finally, we can check this new equation to make sure it works:

42 ≟ 42 + 3(1 - 1)

42 ≟ 42 + 3(0)

42 = 42

Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is StartFraction one-half EndFraction

Answers

That is Talia's incorrect step. The incorrect step is: C. Step 3

How to find the slope?The slope of a line or straight object is the proportion of how much rise occurs in relation to the increment in the run. calculate percent slope, divide the difference between two points' elevations by their distance, then multiply the quotient by 100. The rise is the difference in elevation between two points. The run is the distance between the points. As a result, the percent slope equals (rise / run) x 100.

Thus, we get:

Slope = rise/ run

Calculating the slope using two points on the line, (2, 5) and (1, 3), we have:

Slope (m) = (5 - 3)/(2 - 1)

Slope (m) = (2)/(1)

Slope (m) = 2

This shows that the ratio of the slope calculated by Talia was wrong. The step that is incorrect is: C. Step 3

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Please help! image is shown below

Please help! image is shown below

Answers

The top line tells you this two figure is similar.

What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.

You can find their side ratio with 38 and 15.2.

38 ÷ 15.2 = 2.5

To find x, use 55 ÷ 2.5 and you get 22 as your answer.

Given that the points (-32,-10) and (-74,11) lie on a line, what is the equation of the line

Answers

The equation of the line with the points (-21, -10) and (-74, 11) is

y = (-/12)x - 26.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

(-32,-10) and (-74,11)

The equation of a line is given as,

y = mx + c

m = (11 + 10) / (-74 + 32)

m = 21 / -42

m = -1/2

Now,

(-32, -10) = (x, y)

-10 = (-1/2)(-32) + c

-10 = 16 + c

c = -10 - 16

c = -26

Now,

The equation of the line is y = (-/12)x - 26.

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Use a calculator to find a decimal approximation for the following trigonometric function. cot235°36′
cot235°36′ ≈

Answers

Cot(235°36') is approximately equal to -0.6796.

To find a decimal approximation for cot(235°36'), we can use a calculator.

Convert degrees and minutes to decimal form:

235°36' = 235 + (36/60) = 235.6 degrees

Use the reciprocal identity of cotangent to find the value of cot(235.6°):

cot(235.6°) = 1 / tan(235.6°)

Enter 235.6 into your calculator and find the tangent:

tan(235.6°) ≈ -1.4720

Take the reciprocal of -1.4720 to find cot(235.6°):

cot(235.6°) ≈ 1 / (-1.4720) ≈ -0.6796

Therefore, cot(235°36') is approximately equal to -0.6796.

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What term is used for a bell-shaped curve that is symmetrical regarding the average value of the population (the data being analyzed)?

Answers

Answer:

Normal distribution

Step-by-step explanation:

The answer is "normal distribution". This is because in a normal distribution, the mean, median and mode are equal. What this means is that the distribution will be symmetrical with a bell curve unlike in positive or negative skew where it is skewed to either the left or right.

Can y’all help me I don’t wanna fail math❣️???!!!

Can yall help me I dont wanna fail math???!!!

Answers

1:3 divide both 3 and 9 by 3

Answer:

1/3

Step-by-step explanation:

3 pears / 9 apples

simplified: 3/3 / 9/9

= 1/3

The probability that a given 80-year-old person will die in the next year is .27. What's the probability that between 10 and 15 (inclusive) of 40 80-year-olds will die in the next year

Answers

The probability that between 10 and 15 (inclusive) out of 40 80-year-olds will die in the next year can be calculated using the binomial probability formula. It involves summing the probabilities of each individual outcome falling within the desired range.

The probability of a single 80-year-old person dying in the next year is given as 0.27. To calculate the probability of a specific number of deaths within a range, we can use the binomial probability formula:

P(X=k) = (nCk) * p^k * (1-p)^(n-k)

Where:

- P(X=k) is the probability of exactly k successes (deaths in this case),

- n is the total number of trials (number of 80-year-olds),

- k is the desired number of successes falling within the range (between 10 and 15 inclusive),

- p is the probability of a single success (probability of death in the next year), and

- (nCk) represents the combination, which is the number of ways to choose k successes out of n trials.

We need to calculate the probabilities for each individual outcome falling within the desired range (10, 11, 12, 13, 14, 15), and then sum them to find the overall probability.

By plugging in the values into the formula and calculating the probabilities for each desired number of deaths (k) and summing them up, we can determine the probability that between 10 and 15 out of the 40 80-year-olds will die in the next year.

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solve using elimination 3x-3y=-2, -6x+6y=4 (please show your work if possible)

Answers

Sorry my handwriting is a little messy but I hope this helps!!
solve using elimination 3x-3y=-2, -6x+6y=4 (please show your work if possible)

between 1849 and 1852, the population of __________ more than doubled.

Answers

Answer:

Step-by-step explanation:

Between 1849 and 1852, the population of California more than doubled due to the California Gold Rush.

Between 1849 and 1852, the population of California more than doubled. California saw a population boom in the mid-1800s due to the California Gold Rush, which began in 1848. Thousands of people flocked to California in search of gold, which led to a population boom in the state.What was the California Gold Rush?The California Gold Rush was a period of mass migration to California between 1848 and 1855 in search of gold. The gold discovery at Sutter's Mill in January 1848 sparked a gold rush that drew thousands of people from all over the world to California. People from all walks of life, including farmers, merchants, and even criminals, traveled to California in hopes of striking it rich. The Gold Rush led to the growth of California's economy and population, and it played a significant role in shaping the state's history.

Suppose r(x) and t(x) are two functions with the same domain, and let
h(x)=r(x)+t(x).
suppose also that each of the 3 functions r, tand h, has a maximum value
in this domain (i.e. a value that is greater than or equal to all the other
values of the function).
let m = the maximum value of r(x),
n = the maximum value of t(x), and
p = the maximum value of h(x).
how might the following always be true that m+n=p?

Answers

Answer:

that's correct answer is yes

Step-by-step explanation:

yes

PLEASE HELP 20 POINTS use the stem and leaf plot of monthly sales calls to answer the question that follows

PLEASE HELP 20 POINTS use the stem and leaf plot of monthly sales calls to answer the question that follows

Answers

The range of the monthly sales goals is $33,000 .

What is a range of a data set?

The range of a set of data is described as  the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum and is expressed in the same units as the data.

We find the range of the monthly sales goals from the stem-and-leaf plot which is the  difference between the highest and lowest values.

Observing  the stem-and-leaf plot, the lowest value =  24,000 (stem 2, leaf 4

the highest value=  57,000 (stem 5, leaf 7).

Range = 57,000 - 24,000 = 33,000

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Use synthetic division to find the result when x³ + 7x² - 12x + 14 is divided by a 1. If there is a remainder, express the result in the form q(x) + b(x)*

Answers

Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

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Please help! Correct answer only please!


Mike recently increased the size of his truck tires from 26.16 inches to 28.95 inches. If mike didn't re-calibrate his speedometer, how fast is he really going on the new tires when his speedometer shows he is traveling 60 mph?


Group of answer choices


A. 54.2 mph


B. 63.8 mph


C. 66.4 mph


D. 69.7 mph

Please help! Correct answer only please!Mike recently increased the size of his truck tires from 26.16

Answers

Answer:

C. 66.4 mph

Step-by-step explanation:

∵ The ratio of speed of motorcycle and the circumference of the tyre is constant for a motorcycle,

If x be the speed ( in mph ) of a motorcycle having the tyre of diameter 28 inches,

⇒ The ratio of speed and circumference = \frac{x}{2\pi (14)}

( Because radius = Diameter / 2 ),

While, the speed of the same motorcycle having the tyre of diameter 25 inches is 60 mph,

⇒ The ratio of speed and circumference = \frac{60}{2\pi (12.5)}

By the above statement,

\frac{x}{2\pi (14)}=\frac{60}{2\pi (12.5)}

\implies x=\frac{60\times 14}{12.5}=\frac{336}{5}=67.2\approx 67

So, the actual speed of the motorcycle after changing the tyre is 67 mph ( approx )

Hence, option 'C' is correct.

Step-by-step explanation:

A recent survey on movies found that 1 out of 6 students likes comedy films. Graph the relationship between the total number of students and the students who like comedy films for different number of students given in the table below. Total Number of Students​ 90​ 180​ 270​ 360​

Answers

A recent survey on movies found that 1 out of 6 students likes comedy films. The probability that individuals will like comedies is equal to one in six.

This is further explained below.

What is probability?

Generally, If there are a total of 90 people, then the number of people who like comedic films is equal to 90 divided by 6, which is 15.

If there are a total of 180 people, then the number of people who like comedic films is equal to 180 divided by six, which is 30. If there are 270 people in total, then the number of people who like comedic films is equal to 270 divided by six, which is 45.

If there are a total of 360 individuals, then the number of persons who like comedic films is equal to 360 divided by six, which is 60.

Let the x-axis show the total number of persons, and let the y-axis show: The number of persons who like comedic motion pictures are shown along the y-axis.

In conclusion, The following will be the function: f(x) equals six times the total number of persons, where x is the total headcount.

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how long does it take for the speed of light to get from the sun to mars

how long does it take for the speed of light to get from the sun to mars

Answers

Answer:

Step-by-step explanation:

The planet Mars is about 141.6 million miles away from the Sun. The speed of light is about 186,000 miles per second. It would take approximately 761 seconds (or 12 minutes and 41 seconds) for light to get from the Sun to Mars.

In ΔRST, the measure of ∠T=90°, the measure of ∠R=82°, and TR = 44 feet. Find the length of ST to the nearest tenth of a foot.

Answers

Answer:313.1

Step-by-step explanation:

The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

Determine P(2 tails).

12.5%
37.5%
50%
75%

Answers

The value οf P(2 tails) is 37.5%, the cοrrect οptiοn is B.

What is the prοbability?

Prοbability refers tο a pοssibility that deals with the οccurrence οf randοm events.

The prοbability οf all the events οccurring need tο be 1.

The fοrmula οf prοbability is defined as the ratiο οf a number οf favοurable οutcοmes tο the tοtal number οf οutcοmes.

P(E) = Number οf favοurable οutcοmes / tοtal number οf οutcοmes

We are given that;

The sample space=  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Nοw,

The sample space fοr tοssing a cοin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}, where H represents heads and T represents tails.

Tο determine P(2 tails), we need tο cοunt the number οf οutcοmes in which there are 2 tails, and divide that by the tοtal number οf οutcοmes:

Number οf οutcοmes with 2 tails: There are three οutcοmes with 2 tails: TTH, THT, and HTT.

Tοtal number οf οutcοmes: There are eight οutcοmes in tοtal.

P(2 tails) = number οf οutcοmes with 2 tails / tοtal number οf οutcοmes = 3/8 = 0.375, which is equivalent tο 37.5%.

Therefοre, the prοbability the answer will be 37.5%.

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Alex had 806 dinosaurs. There were 102 Velociraptors, 243 Tyrannosauruses, and the rest were Brontosauruses. There were twice as many eggs as dinosaurs. How many eggs does Alex have?

Answers

Answer: 1,612 eggs

Step-by-step explanation:

Alex has a total of 806 dinosaurs. He also has twice as many eggs as he does dinosaurs.

The number of eggs is therefore:

= Number of dinosaurs * 2

= 806 * 2

= 1,612 eggs

find the linear approximation of the function fsx, y, zd − sx 2 1 y 2 1 z 2 at s3, 2, 6d and use it to approximate the number ss3.02d 2 1 s1.97d 2 1 s5.99d 2 . quizlet

Answers

The approximations for the values of f at the given points are:

f(3.02, 2, 6) ≈ 0.0878f(1.97, 2, 6) ≈ 0.0545f(3, 2, 5.99) ≈ 0.1387

How to find the  linear approximation ?

To find the linear approximation of the function f(x,y,z) = x²/(y²z²) at point (3,2,6), we need to compute the partial derivatives of f with respect to x, y, and z at that point:

fx(x,y,z) = 2x/(y²z²), so fx(3,2,6) = 2/(2² * 6²) = 1/54

fy(x,y,z) = -2x²/(\(y^3\)z²), so fy(3,2,6) = -18/64

fz(x,y,z) = -2x²/(y²\(z^3\)), so fz(3,2,6) = -2/\(6^3\) = -1/108

The linear approximation of f at point (3,2,6) is given by:

L(x,y,z) = f(3,2,6) + fx(3,2,6)(x-3) + fy(3,2,6)(y-2) + fz(3,2,6)*(z-6)

L(x,y,z) = 9/144 + (1/54)(x-3) - (18/64)(y-2) - (1/108)*(z-6)

To approximate the value of f at points (3.02, 1.97, 5.99), we can use the linear approximation L:

f(3.02, 2, 6) ≈ L(3.02, 2, 6) = 0.0878

f(1.97, 2, 6) ≈ L(1.97, 2, 6) = 0.0545

f(3, 2, 5.99) ≈ L(3, 2, 5.99) = 0.1387

Therefore, the approximations for the values of f at the given points are:

f(3.02, 2, 6) ≈ 0.0878f(1.97, 2, 6) ≈ 0.0545f(3, 2, 5.99) ≈ 0.1387

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Cozy nights industries manufactures down-filled comforters and uses activity-based costing. The following information is provided for september. Activity estimated indirect activity costs allocation base estimated quantity of allocation base materials handling $ 12,600 number of parts 4,200 parts assembly 55,440 number of parts 4,200 parts packaging 10,920 number of comforters 1,050 comforters each comforter consists of 4 parts and the direct materials cost per comforter is $14. 0. Based on the information given for cozy nights industries, what is the total cost of packaging each comforter?.

Answers

The required total cost of packaging each comforter is $89.20.

How to calculate the total cost of packaging each comforter?

Activity estimated indirect activity costs allocation base estimated quantity of allocation base,

materials handling $ 12,600 number of parts 4,200 parts

Cost per part = $ 12,600/4,200 =  $3

assembly$ 55,440 number of parts 4,200 parts,

Cost per part = $ 55,440/4,200 =  $13.20

packaging $10,920 number of comforters 1,050 comforters each comforter consists of 4 parts

Cost per part =$10,920 /1,050 = $10.40

Then, For all cost of 4 parts,

Materials handling = ($3 x 4) = $12

Assembly = ($13.20 x 4) = $52.80

Packaging = ($10.40 x 1) = $10.40

Total overhead cost = $75.20

And Direct materials cost = $14.00

So, total manufacturing cost =  $75.20 + $14.00 =  $89.20

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Evaluate the expression for the given value of x.
4x + 6 for x = 7
The solution is

Answers

4 • 7 = 28
28 + 6 = 34
the answer to this equation is 34

Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)

Answers

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The following joint probability density function for the random variables Y1 and Y2, which represent the proportions of two components in a somaple from a mixture of insecticide.
f(y1,y2) = { 2, 0 <= y1 <= 1, 0 <= y2 <= 1, 0 <= y1+y2 <=1
{ 0, elsewhere
For the chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample. Find E(Y1+Y2) and V(Y1+Y2).

Answers

The chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample.V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

To find E(Y1 + Y2), we first find the marginal distribution of Y1 and Y2 by integrating the joint density function over the other variable as follows:

f1(y1) = ∫f(y1,y2)dy2 = ∫2dy2 from 0 to 1-y1 = 2(1-y1) for 0 ≤ y1 ≤ 1

f2(y2) = ∫f(y1,y2)dy1 = ∫2dy1 from 0 to 1-y2 = 2(1-y2) for 0 ≤ y2 ≤ 1

Now we can find E(Y1 + Y2) as follows:

E(Y1 + Y2) = ∫∫(y1 + y2)f(y1,y2)dy1dy2

= ∫∫(y1 + y2)2dy1dy2 over the region 0 ≤ y1 ≤ 1-y2, 0 ≤ y2 ≤ 1

E(Y1 + Y2) = ∫0^1∫0^(1-y1) (y1 + y2)2dy2dy1

= ∫0^1[y1(y1/2 + 2/3) + 1/3]dy1

= 7/12

To find V(Y1 + Y2), we can use the fact that V(Y1 + Y2) = V(Y1) + V(Y2) + 2Cov(Y1, Y2), where Cov(Y1, Y2) is the covariance of Y1 and Y2. First, we need to find the variances of Y1 and Y2:

Var(Y1) = E(Y1^2) - [E(Y1)]^2 = ∫∫y1^22dy1dy2 - [∫∫y1f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y1) y1^22dy2dy1 - [∫0^1(2y1-2y1^2)dy1]^2

= 1/18

Var(Y2) = E(Y2^2) - [E(Y2)]^2 = ∫∫y2^22dy1dy2 - [∫∫y2f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y2) y2^22dy1dy2 - [∫0^1(2y2-2y2^2)dy2]^2

= 1/18

Now we need to find the covariance of Y1 and Y2:

Cov(Y1, Y2) = E(Y1Y2) - E(Y1)E(Y2) = ∫∫y1y2f(y1,y2)dy1dy2 - (∫∫y1f(y1,y2)dy1dy2)(∫∫y2f(y1,y2)dy1dy2)

= ∫0^1∫0^(1-y1) 2y1y2dy2dy1 - (7/12)(7/12)

= 1/144

Therefore, V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

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