Al is single, age 60, and has gross income of $140,000, of which $120,000 is salary and $20,000 is rental income. His deductible expenses are as follows:
Charitable contributions 4,000
Contribution to a traditional IRA 6,000
Expenses paid on rental property 7,500
Interest on home mortgage and property taxes on personal residence 7,200
State income tax 2,200
What is Al's AGI?
a.$140,000.
b.$126,500.
c.$114,000.
d.$134,000.

Answers

Answer 1

Al's AGI is  $126,500.

What is gross income?

Before any deductions or taxes, gross income is the total of all wages, salaries, profits, interest payments, rentals, and other sources of income. It differs from net income, which is calculated as gross income less any applicable taxes and other deductions.

Here, we have

Given

Gross income of $140,000

Fewer Deductible expenses :

Alimony ($20,000)

Contribution to a traditional IRA ($6,000)

Expenses paid on rental property ($7,500)

AGI = Gross income - Contribution to a traditional IRA- Expenses paid on rental property

AGI = $140,000 - $6,000 - $7,500

AGI = $126,500.

Hence, Al's AGI is  $126,500.

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Related Questions

Mr. Martinez has a 16-ounce Starbucks drink. He drinks 10 ounces. What is the percent of ounces Mr. Martinez has left of his drink?

Answers

well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5[/tex]

Simplify the expression to a polynomial in standard form:
(x + 3)(2x" + 3x + 7)

Answers

Answer:

2x³ + 9x² + 16x + 21

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

Given expression:

(x + 3)(2x² + 3x + 7)

Distribute and simplify:

(x + 3)(2x² + 3x + 7) =                                     Givenx(2x²) + x(3x) + 7x + 3(2x²) + 3(3x) + 21 =      Distribute2x³ + 3x² + 7x + 6x² + 9x + 21 =                    Collect like terms2x³ + 9x² + 16x + 21                                       Answer

A card is drawn randomly from a standard 52-card deck. Find the following: Write all answers as simplified fractions (not mixed numbers). Probability the card drawn is a face card _____
Probability the card drawn is not a face card. ____
Odds in favor of drawing a face card ______
Odds against drawing a face card _____

Answers

The probability the card drawn is a face card is 3/13. The probability the card drawn is not a face card is 10/13. The odds in favor of drawing a face card is 3/10. The odds against drawing a face card are 10/3.

There are 52 cards in a standard deck, and 12 of them are face cards (jack, queen, and king). Therefore, the probability of drawing a face card is 12/52, or 3/13.

The probability of not drawing a face card is 1 minus the probability of drawing a face card. Since the probability of drawing a face card is 3/13, the probability of not drawing a face card is 1 - 3/13, which is 10/13.

The odds in favor of drawing a face card are 3:10, or 3/10. The odds against drawing a face card are 10:3, or 10/3.

In summary:

The probability the  card drawn is a face card: 3/13

The probability the card drawn is not a face card: 10/13

Odds in favor of drawing a face card: 3/10

Odds against drawing a face card: 10/3

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Help!!!


A spinner is divided into five equal sections labeled 1, 2, 3, 4, and 5. Another spinner
is divided into two equal sections labeled A and B. Nigel will spin each spinner one
time.
How many of the possible outcomes have a number less than 3 or an A?
Hint: first write out the sample space (you should have 10)
Which samples have a number less than 3 or an A?

Answers

Answer:

There are 5 possible outcomes when the first spinner is spun, and 2 possible outcomes when the second spinner is spun. Therefore, the sample space of possible outcomes when both spinners are spun is 5 x 2 = <<5*2=10>>10.

The possible outcomes are:

1A

1B

2A

2B

3A

3B

4A

4B

5A

5B

Of these, 3A, 2A, 1A, and 4B have a number less than 3 or an A. Therefore, there are 4 possible outcomes that have a number less than 3 or an A.

Step-by-step explanation:

5. El lado canadiense de las Cataratas del Niagara tiene un caudal de 600,000 litros por segundo. ¿Cuántos
galones de agua fluyen por las cataratas en 1 minuto?

Answers

Answer:

9,510,223.49 galones!

Step-by-step explanation:

Primero, tienes que saber la cauntidad de los litros en un galon.

Hay 3.7854 litres en un galon

ahora, hacemos un ratio

1 galon = 3.7854 litres

? galones = 600,000 litres

Para encontrar la respuesta, divide 600,000 por 3.7854 para obtener la cauntidad de los galones

600,000 ÷ 3.7854 = 158,503.725 galones

158,503. 725 litres fluyen por segundo.

Hay 60 segundos en un minuto asi que, tenemos que multiplica nuestra respuesta por 60 para calcular nuestra respuesta final.

158,503. 725 × 60 = 9,510,223.49 galones!

Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent crime. The probability of observing no positive reading if all suspects are telling the truth is: (a) 0.00 (b) 0.23 (c) 0.41 (d) 0.59 (e) 0.77

Answers

The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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Use the diagram to solve for x.

Answers

Work below but still double check

The playing time X of classical CDs has the normal distribution with a mean of 54 and a standard deviation of 5; the N(54, 5) distribution. What is the relative frequency of classical CDs with a playing time X between 44 and 54 minutes? (2 points)
a)47.5%
b)52.5%
c)50%
d)81.5%

Answers

Using the normal distribution, it is found that the relative frequency of classical CDs with playing time X between 44 and 54 minutes is 0.8150= 81.5%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

The relative frequency of classical CDs with playing time X between 44 and 54 minutes is the p-value of Z when X = 69 subtracted by the p-value of Z when X = 44, hence:

X = 54:

Z = 3

Z = 3 has a p-value of 0.9987.

X = 54:

Z = -1

Z = -1 has a p-value of 0.1584.

0.9987 - 0.1584 = 0.8150

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10. Which of the following sets of ordered pairs does not describe a function?
A
((7,-2), (5, 0), (3, 3), (1, -2)}
B
((7, 2), (5, 4), (3, 6), (1, 8))
C ((7, 2), (7, 0), (3,-2), (1,4)}
D ((7, 7),(5, 5), (3, 3), (1, 1))

Answers

Answer:

C {(7, 2), (7, 0), (3,-2), (1,4)}

Step-by-step explanation:
In a function, x = 7 can't be at both 2 and 0 because it would not pass the vertical line test.

Sarai wants to make latkes for
the Hanukkah party. The recipe
says she will need 6 potatoes to
make 16 latkes. Sarai wants to
make 40 latkes. How many
potatoes will she need?

Answers

Answer:

The correct answer is 15 potatoes.

Step-by-step explanation:

To solve this problem, we can determine the unit rate and use proportions. We know that Sarai needs 6 potatoes for 16 latkes. We want to know how many potatoes she will need to make 40 latkes. Let's call this unknown value x. We can set up the following equation:

6 potatoes/16 latkes = x potatoes/40 latkes

To solve this equation, we can first simplify the left side to find the unit rate.

3 potatoes/8 latkes = x potatoes/40 latkes

To solve, we can recognize that 40 latkes is 5 times the amount shown in the unit rate (8 latkes), which means that we need 5 times the amount of potatoes.

3 potatoes * 5 = 15 potatoes

Therefore, the correct answer is 15 potatoes. Note that you could have also just solved the equation for x to find your answer as well.

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State the null and alternative hypotheses you would use to test the following situation.An annual report showed that Florida topped the nation with 24% of its motorist uninsured. After implementing several new programs during the last two years, the state reevaluated its percentage of uninsured motorists. Determine the null and alternative hypotheses for a test to determine whether the proportion of uninsured motorists has decreased over the last two years.H_{0} / p = 0.24H_{1} / p > 0.24H_{0} / p = 0.24H_{1} :p ne0.24H_{0} / p > 0.24 H_{1} / p < 0.24H_{0} / p = 0.24 H_{1} / p < 0.24

Answers

Answer: Im sorry I cant help im just doing this for points

Step-by-step explanation:

The correct answer is [tex]H_0: p = 0.24 and H_1: p < 0.24[/tex].

How to write this in maths notation

In mathematical notation, the null hypothesis can be written as:

H_0: p = 0.24

where p is the proportion of uninsured motorists in Florida.

The alternative hypothesis can be written as:

H_1: p < 0.24

This means that we are testing the hypothesis that the proportion of uninsured motorists has decreased to a level that is less than 24%.

The null hypothesis is the default assumption, and we will only reject it if we have enough evidence to support the alternative hypothesis. In this case, we would need to collect data that suggests that the proportion of uninsured motorists has decreased to a level that is significantly less than 24%.

The correct answer is [tex]H_0: p = 0.24 and H_1: p < 0.24[/tex].

The other options are incorrect because they either do not specify the direction of the hypothesis test (i.e., whether we are testing whether the proportion of uninsured motorists has increased or decreased) or they are not supported by the given information.

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A group of 2342 students were surveyed about the courses they were taking at their college with the
following results:
1031 students said they were taking Dance.
1058 students said they were taking Science.
1059 students said they were taking English.
449 students said they were taking Science and Dance.
459 students said they were taking Science and English.
456 students said they were taking Dance and English.
218 students said they were taking all three courses.
Fill in the following Venn Diagram with the cardinality of each region then answer the questions
below.
Science
IV.
11.
VII.
V.
English
VI.
How many students took Science, Dance, or English?
How many students took Dance and English, but not Science?
How many students took Science or didn't take Dance?
How many students took none of the courses?
Dance
III.
How many students took Science or English, but not Dance?
VIII.

Answers

The missing features of the Venn diagram include the following:

I=472, II=449 ,IV=459 ,V=218 , VI=456,

What is a Venn diagram?

A Venn diagram is a circular illustration of how variables are interrelated to each other.

To solve for I;

Total number of students taking dance = 1031

Total number of students taking science and dance= 449

Total number of students taking all three courses= 218

Total number of students taking science and English = 459

Therefore, the number of students taking only science;

I =( II-V)+ (IV-V)

I= (449-218)+(459-218)

I = 231+241

I= 472

The number of students that took Science, Dance, or English =V= 218

The number of students took Dance and English, but not Science = VI = 456

The number of students took Science or didn't take Dance = IV = 459

The number of students took none of the courses = VIII = U

The number of students took Science or English, but not Dance = 459 students.

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Financial analysts forecast Safeco Corp.’s (SAF) growth rate for the future to be 12 percent. Safeco’s recent dividend was $1.60.

What is the value of Safeco stock when the required return is 14 percent? (Round your answer to 2 decimal places.)

Answers

The value of Safeco stock given the required return growth rate and the dividend of the stock is $89.60.

What is the value of Safeco stock?

The value of the stock can be determined using the constant growth dividend model. According to the model, the value of the stock is a function of the growth rate, dividend and the required return of the stock.

Value of the stock = [dividend x (1 + g)] / (r - g)

where

r = required return

g = growth rate

Value of the stock = [1.60 x (1.12) / (0.14 - 0.12)

Value of the stock = 1.792 / 0.02

Value of the stock = $89.60

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a) If 6^x = 216’
find the value of x.

Answers

Answer: x=3

Step-by-step explanation:

6*6=36

36*6=216

6*6*6=216

6*6*6=[tex]6^{2}[/tex]

[tex]6^{x} =6^{3}[/tex]

x=3

Answer:

Step-by-step explanation:

we need to find a base for 216 that is equal to 6.

216 / 6  = 36

36 / 6 = 6,

So 6 * 6 = 36 and 36 * 6 = 216.

From this we know that 216 = 6^3

6^x = 6^3

x=3

Mark got a new job with a starting salary of $32,000. If he gets a yearly raise
of 2%. find Marks salary after 25 years

Answers

Hello. So he could be using the formula for the amount after t years is equal to you. With the principal amount times one plus R. To the T. Um So one plus are over. And if were compounded more times a year but he will just compound once a year. You get a 2% raise Every year is what 2% raise Yearly. Well so we take the different 30,000 times one plus 2% is 1.02. And they want to know how much other side is going to be after 25 years. So we take 1.02 to the 25th power. It's about 1.64. And then times 32,000 Um gives us that after 25 years, our salary is going to be approximately 52,400.
Hope this helps! Make me brainiest if not difficult!

Answer:

Mark's salary after 25 years is $52,499.39

Step-by-step explanation:

This situation can be modelled exponentially. We are given the starting amount, 32000, and the annual growth rate, 2%. This means that, for every year that passes, we'd have [tex][(32000)(1.02)][/tex] $ as the salary. As such, the model would be [tex]S(t) = 32000(1.02)^t[/tex]. We want to find Mark's salary 25 years from the starting point, t=25. Having developed a model for this situation, we can simply plug in 25 for t:

[tex]S(25) = 32000(1.02)^{(25)}[/tex]

[tex]S(25) = 52499.39[/tex]

URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

Question 7

Answers

The volume of the cone is approximately 134 ft cube.

The cone would fit in 4 times in the red beach ball.

How to find the volume of a sphere and cone?

The diameter of the red beach ball is 8 inches, then the cone has the same radius and a height of 8 inches .

Therefore, to know the number of times the beach ball will fit into the cone, we have to find the volume of each solid shape.

Therefore,

volume of the beach ball(sphere) = 4πr³

where

r = radius

r = 8  /2 = 4 inches

volume of the beach ball(sphere) = 4 × π × 4³

volume of the beach ball(sphere) = 256π ft³

Therefore,

volume of the cone = 1 / 3 πr²h

where

r = radiush = height

volume of the cone = 1 / 3 × π × 4²  × 8

volume of the cone = 128π / 3

volume of the cone = 42.7π

volume of the cone = 134.078

volume of the cone ≈ 134 ft³

Therefore,

volume of beach ball / volume of cone = 256π / 42.7π = 5.99531615925

Therefore, the cone will fit 4 times into the red beach ball.

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for all negative semidefinite matrix, the first principal determinant has to be either 0 or negative. A. True B.False

Answers

A is negative semidefinite if and only if all the kth order principal minors of A are ≤ 0 if k is odd and ≥ 0 if k is even. The given statement is true.

What is a negative semidefinite matrix?

A Hermitian matrix with all of its eigenvalues being nonpositive is known as a negative semidefinite matrix. Using the Wolfram Language's NegativeSemidefiniteMatrixQ[m], a matrix may be checked to see if it is negative semidefinite.

The direction of space is inverted when the determinant is negative. If you give your fingers dimensions before transformation and they remain true after, it indicates that the orientation of space has not changed and the determinant is positive.

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Which inequality matches the graph?

Answers

Answer:

2n + 5 ≤ 7  The first choice

Step-by-step explanation:

2n + 5 ≤ 7  Subtract 5 from both sides.

2n + 5 - 5 ≤ 7 - 5

2n ≤ 2  Divide both sides by 2

[tex]\frac{2n}{2}[/tex] ≤ [tex]\frac{2}{2}[/tex]

n [tex]\leq[/tex] 1

Answer:

2x +5 ≤ 7

I hope my answer helps you.

Compute the directional derivatives of the following functions along unit vectors at the indicated points in directions parallel to the given vector. (a) rx, y) = x^y, (Xo, yo) = (e, e), d = 8i + 15j (b) f(x, y, z) = e^x + yz, (Xo, yo, Zo) = (1, 1, 1), d = (1,-4, 4) (c) f(x, y, z) = xyz, (xo, yo, Zo) = (1, 0, 1), d = (1, 0,-1)

Answers

The derivative of given function is D(yz+e^x)d(1,1,1) = (3*((59)^1/2)*e)/59≈1.06167045295814  

We have to find the directional derivative of the given function  

f(x,y,z) = yz+e^x at (x0,y0,z0)=(1,1,1) in the direction of the vector

d⃗ =(3,−5,5)  

Find the gradient of the function and evaluate it at the given point:  

To find the gradient of a function (which is a vector), differentiate the function with respect to each variable.  

∇f= (∂f/∂x,∂f/∂y,∂f/∂z)  

∂f/∂x = ∂( yz+e^x )/∂x  

The derivative of a sum/difference is the sum/difference of derivatives:  

∂f/∂x = ∂( yz)/∂x +∂(e^x )/∂x since the derivative of y and z with respect of x is zero.  

∂f/∂x = e^x The derivative of exponential is d(e^x)/dx=e^x.  

Similarly  

d(yz+e^x)/dy = z and d(yz+e^x)/dz = y  

∇(yz+e^x)(x0,y0,z0)=(e^x,z,y)  

Finally plug in the point we get the result  

∇(yz+e^x)|(x0,y0,z0)=(1,1,1)=(e,1,1)  

∇(yz+ex)|(x0,y0,z0)=(1,1,1)=(e,1,1)  

Now we Find the length of the vector: |d⃗ |=((3)^2+(−5)^2+(5)^2)^1/2 =(59)^1/2  

To normalize the vector, divide each component by length:  

d = ((3*((59)^1/2))/59 ,(−5*(59)^1/2)/59,(5*(59)^1/2)/59)  

Finally, the directional derivative is the dot product of the gradient and the normalized vector:  

D(yz+e^x)d(1,1,1) = (e,1,1). ((3*((59)^1/2))/59 ,(−5*(59)^1/2)/59,(5*(59)^1/2)/59)  

D(yz+e^x)d(1,1,1) = (3*((59)^1/2)*e)/59≈1.06167045295814  

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the probability of heads of a coin is , and this bias is itself the realization of a random variable which is uniformly distributed on the interval . to estimate the bias of this coin. we flip it times, and define the (observed) random variable as the number of heads in this experiment. throughout this problem, you may find the following formula useful: for every positive integers , given the observation , calculate the posterior distribution of the bias . that is, find the conditional distribution of , given . for ,

Answers

The resulting conditional mean squared error of the LMS estimator, given N=3 is 0.0383746

What is conditional distribution formula?

In general, the conditional distribution of X given Y does not equal the conditional distribution of Y given X, i.e., pX|Y(x|y)≠pY|X(y|x). If X and Y are independent, discrete random variables, then the following are true: pX|Y(x|y)=pX(x)pY|X(y|x)=pY(y)

What is full conditional distribution?

The full conditional for a given node (parameter) is simply the product of the probability model (likelihood or prior) for that node and its parent node (at least up to a constant of proportionality).

1) fY|N(y∣N=3)=84 y^6 (1-y)^3

2)0.0636363

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Mark pays out his debt at regular intervals every 6 months. He pays $500 each time. If the interest on the loan is 2% compounded semi-annually and he still has 8 years left to pay off the debt, how much does he still owe?

Answers

To find out how much Mark still owes on his debt, we need to calculate the amount of interest that has accrued on the loan over the time that he has been paying it off. The interest on the loan is compounded semi-annually, so the amount of interest that accrues on the loan will be added to the principal every six months. Since Mark has been paying off his debt for 8 years and the interest is compounded semi-annually, he will have made 16 payments of $500.

To calculate the total amount of interest that has accrued on the loan, we need to know the original principal amount of the loan. Since we don't have that information, we won't be able to calculate the exact amount that Mark still owes on his debt. However, we can use the information that we have to make an educated guess.

If Mark has been making payments of $500 every six months for eight years, then he has paid a total of $500 x 16 = $<<50016=8000>>8000 in principal and interest payments. If the interest on the loan is 2% compounded semi-annually, then the total amount of interest that has accrued on the loan over the past eight years is $8000 x 2% = $<<80002*.01=160>>160. This means that the original principal amount of the loan was $8000 - $160 = $<<8000-160=7840>>7840.

Since Mark still has 8 years left to pay off the debt, and he is making payments of $500 every six months, he will need to make a total of 8 years x 2 payments per year = <<82=16>>16 more payments of $500 to pay off the debt. This means that he will have to pay a total of $500 x 16 = $<<50016=8000>>8000 in principal and interest over the next eight years.

Since the total amount of interest that has accrued on the loan over the past eight years was $160, the total amount of interest that will accrue on the loan over the next eight years is also $160. This means that the total amount of interest that Mark will have to pay over the next eight years is $160 x 2 = $<<160*2=320>>320.

Adding the amount of interest that Mark will have to pay over the next eight years to the amount of principal that he will have to pay, we find that the total amount that Mark will owe on the loan over the next eight years is $8000 + $320 = $<<8000+320=8320>>8320.

Therefore, if Mark has been paying off his debt for eight years and still has eight years left to pay, he still owes a total of $8320 on the loan.

Derek boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed. Let h represent John's height above the center of the Ferris wheel (in feet) and let t represent the number of mintues since the ride started. a. Suppose the radius of the Ferris wheel is 20 feet and the Ferris wheel rotates at 1 radian per minute. Plot the relationship between h and t for this scenario. 20- 1o -10 -20 ear All Draw: b. Now, suppose the radius of the Ferris wheel is 20 feet and the Ferris wheel rotates at 2 radians per minute. Plot the relationship between h and t for this scenario. 30 20- 10 10 20 ear All Draw c. Now, suppose the radius of the Ferris wheel is 25 feet and the Ferris wheel rotates at 2 radians per minute. Plot the relationship between h and t for this scenario. 30 20 10 20 r All Draw:

Answers

The result for all expressions are

a) r(t) = 6.5t radians

b) C(t) = 20cos(6.5*t) feet

c) H(t) = 36 - C(t)

The situation is depicted in the picture attached considering the center of the wheel as the center of the coordinates system.

Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply:

6.5 radians __________ 1 minute

r(t) radians ____________  t minutes

and obviously, r(t) = 6.5t radians

The height C(t) above the center after t minutes is given by

C(t) = 20cos(r(t)) ===>  C(t) = 20cos(6.5*t) feet

When C(t) < 0 means that derek wheel is below the center of the wheel.

Since the center of the Ferris wheel is 36 feet above the ground, the height H(t) above the ground after t minutes is given by

H(t) = 36 - C(t)

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Help me pls asappp……

Answers

Answer:

a. (0,1)

b. slope is -2

y-1=-2x

Step-by-step explanation:

Donnelle has already saved $350.00
Donnelle can save $45 per week from her
part-time job. How many weeks will it take her to
save at least $2150 to pay cash for a used car?

Answers

Answer: 40 weeks

Reason:
This is because she already saved up $350 so to find the remaining amount of money she has to pay, you do 2150 - 350 which is $1800.
Then,
To find the number of weeks to save, you have to do $1800 divided by $45 which is 40.
So now you know that she needs to save up for 40 weeks

13,140 divided by 12

Answers

Answer:

1095

Step-by-step explanation:

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A student is building a squirrel feeder for a family member. The figure is a model of the feeder.

(A rectangular prism with dimensions 2 and three fourths inches by 16 and one half inches by 4 inches.)

How much feed can the container hold?

Answers

To find how much feed the rectangular prism can hold you have to find it’s volume.

The formula to find the volume form a rectangular prism is:
Volume= Length x Width x Height

Now we must insert the values you have given:
Volume= 2.75 x 16.50 x 4

When you multiply that out it comes to:
Volume= 181.5

hope this helps :)

a box contains ten sealed envelopes numbered 1, . . . , 10. the first six contain no money, the next two each contains $5, and there is a $10 bill in each of the last two. a sample of size 3 is selected with replacement (so we have a random sample), and you get the largest amount in any of the envelopes selected. if x1, x2, and x3 denote the amounts in the selected envelopes, the statistic of interest is m

Answers

When the expected value and variance are 3.5 and 15.25, the statistic probability distribution will be 5/10, 3/10, and 2/10.

Given that,

A box contains ten sealed envelopes labelled 1, 2, 3, and 10. Six of them are empty, two have $5 apiece, and the remaining two each contain a $10 bill. You obtain the most money in any chosen envelope when replacement is used; a sample of size 3 is selected (forming a random sample). The statistic of interest is m if the quantities in the selected envelopes are represented by x1, x2, and x3.

We know that,

The probability distribution will be

P(X=0) = 5/10

P(X=5) = 3/10

P(X=10) = 2/10

In probability theory, the expected value is a development of the weighted average. The arithmetic mean of a sizable number of outcomes of a random variable that were independently selected is, informally, the expected value.

The expected value is

E =0(5/10)+5(3/10)+10(2/10) = 3.5

The variance is

V = 0² x (5/10) + 5² ( 3/10 ) + 10² x (2/10) - 3.5² = 15.25

Therefore, the statistic probability distribution will be 5/10, 3/10, and 2/10 when the expected value and variance are 3.5 and 15.25.

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Which polynomial is the product of (4x−3)(x2+2x−6)?

Answers

The polynomial that is the product of (4x−3)(x²+2x−6) is 4x³ + 5x² - 30x + 18

Which polynomial is the product of (4x − 3)(x² + 2x − 6)?

A polynomial simply refers to the expression that is composed of constant, variables, and exponents that are combined by mathematical operations.

The product of the polynomial will be:

= (4x −3)(x² + 2x − 6)

= 4x³ + 8x² - 24x - 3x² - 6x + 18

= 4x³ + 5x² - 30x + 18

The product is 4x³ + 5x² - 30x + 18.

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Solve the equation.12d-14=-2
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Hint: Be sure to use inverse operations.
Solve the equation. 10 s -9=32
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Hint: Be sure to use inverse operations.
Solve the equation. {c}/{-10}-5=9
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Hint: Be sure to use inverse operations.

Answers

Answer: The answer is -2.34

Step-by-step explanation: Get Good

Please help!!!!!!!!!!

Answers

Answer:

[tex]6^{\frac{1}{12}}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt[3]{6} }{\sqrt[4]{6} } =\frac{6^{\frac{1}{3} } }{6^\frac{1}{4} }[/tex]

[tex]= 6^{\frac{1}{3}[/tex] ÷ [tex]6^{\frac{1}{4}}[/tex]

= [tex]6^{\frac{1}{3}-\frac{1}{4}}[/tex]

=[tex]6^{\frac{4}{12}-\frac{3}{12}}[/tex]

[tex]= 6^\frac{1}{12}[/tex]

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