expand and simpfly (x-5)(x-4)

Answers

Answer 1

Answer:

x² -9x + 20

Step-by-step explanation:

x²-4x -5x + 20

x² - 9x + 20


Related Questions

help plz!!!!!!!!!!!!!!!!!!!!

help plz!!!!!!!!!!!!!!!!!!!!

Answers

110% maybe as the other person said

Answer: 110%
I am 99% sure. Good luck.

The 7th grade class is putting on a variety show to raise money. If they charge $20 for each ticket how many tickets do they need to sell in order to raise at least $1000

Answers

Answer:

50

Step-by-step explanation:

They need to sell 50 of them in order to raise $1000. Its simple math all you have to do is divide 1000 by 20 and poof you have the answer.

Let S1 be the amount allowing 10% discount on the price of some goods and then adding 10% VAT. Let S2 be the amount adding 10% VAT and then allowing 10% discount. Which of the following is true? (i) S1 > S2 (ii) S1 < S2 (iii) S1 = S2 (iv) Cant be decided

Answers

Using decimal multipliers, the correct statement is given by:

(iii) S1 = S2.

What is a decimal multiplier?

Increases of a% or decreases of a% re represented by decimal values, as follows:

The equivalent multiplier for an increase of a% is given by: \(\frac{100 + a}{100}\)The equivalent multiplier for an decrease of a% is given by: \(\frac{100 - a}{100}\)

Hence, in the context of this problem:

An increase of 10% is represented by 1.1.A decrease of 10% is represented by 0.9.

The options are given as follows:

S1 = 0.9 x 1.1 = 0.99.S2 = 1.1 x 0.9 = 0.99.

They are equal, hence option (iii) is correct.

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Determine the rank of matrix A if possible from the given information.
a. A is an n-by-n matrix with linearly independent columns.
b. A is a 6-by-4 matrix and Null(A)={0}.
c. A is a 5-by-6 matrix and dim(bull(A))=3.
d. A is a 3-by-3 matrix and det(A)=17.
e. A is a 5-by-5 matrix and dim(Row(A))=3.
f. A is an invertible 4-by-4 matrix.
g. A is a 4-by-3 matrix and Ax=b has either a unique solution or else no solution.

Answers

The rank of matrix A can be determined based on the given information in the question is as follows.

The rank of a matrix refers to the maximum number of linearly independent columns (or rows) in the matrix. From the given information:

a. Since A has linearly independent columns, the rank is equal to n, where n is the number of columns.

b. If Null(A)={0}, it means that the only solution to the homogeneous equation Ax=0 is the trivial solution (where x=0). This implies that the columns of A are linearly independent. Since A is a 6-by-4 matrix, the rank is equal to the number of columns, which is 4.

c. The dimension of the null space (denoted as dim(Null(A))) is equal to the number of linearly independent solutions to the homogeneous equation Ax=0. In this case, dim(Null(A))=3, which means that there are 3 linearly independent solutions. Since A is a 5-by-6 matrix, the rank can be found by subtracting the dimension of the null space from the number of columns: rank(A) = 6 - dim(Null(A)) = 6 - 3 = 3.

d. The determinant of a square matrix measures its invertibility. If det(A) is non-zero, it means that A is invertible, and an invertible matrix has full rank. Therefore, the rank of A is equal to the number of columns, which is 3.

e. The dimension of the row space (denoted as dim(Row(A))) represents the number of linearly independent rows in A. Since dim(Row(A))=3, it means that there are 3 linearly independent rows. Thus, the rank of A is 3.

f. An invertible matrix is non-singular and has full rank. Therefore, if A is a 4-by-4 invertible matrix, its rank is equal to the number of columns, which is 4.

g. If the system Ax=b has either a unique solution or no solution, it means that the column space of A has dimension 3. Hence, the rank of A is 3.

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even though emilio writes neatly and legibly, it takes him a very long time to write a few sentences. which strategy may help emilio to write more fluently?

Answers

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Suppose that rising productivity increases potential output in each period by 4%. What kind of monetary policy would be needed to maintain a zero rate of inflation at full employment?.

Answers

When rising productivity increases potential output in each period by 4%, the kind of monetary policy that would be needed to maintain a zero rate of inflation at full employment is that it should increase money supply by 4% per period. (Option C)

Potential output is defined as the maximum amount or output the economy can produce on a constant basis. It is an important concept in both macroeconomics and monetary policy. When the economy approaches production at nearly full capacity, the increased demand results in pressure on input cost including wages. As productivity increases the potential output by 4% each period, the type of monetary policy that maintains a zero rate of inflation at full employment is to increase the money supply by 4% per period.

Note: The question is incomplete as it is missing options. The options are A. It should keep money supply constant. B. It should increase money supply by 4% in the first period and thereafter, hold money supply constant. C. It should increase money supply by 4% per period. D. t should decrease money supply by 4% each period.

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which statement is true regarding the functions on the graph?

Answers

Answer:

where's the graph?

Step-by-step explanation:

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE

a square with an area of 9cm2. If each side has its length doubled, what is the new area?

Answers

Answer:

36

Step-by-step explanation:

point) We say a definite integral is improper if one is infinite, or if the is infinite.

Answers

A definite integral is said to be improper if one or both of the limits of integration are infinite, or if the integrand function has a vertical asymptote within the interval of integration.

In other words, an improper integral is one that cannot be evaluated using the usual techniques of integration, such as the fundamental theorem of calculus, because it involves infinite limits or a function that is not integrable over the interval.

For example, the definite integral of f(x) = 1/x from 1 to infinity is an improper integral because the upper limit of integration is infinity, which is not a finite number. Similarly, the definite integral of f(x) = ln(x) from 0 to 1 is an improper integral because the lower limit of integration is 0, and the function has a vertical asymptote at x=0.

To evaluate improper integrals, we use limit processes to determine whether the integral converges (has a finite value) or diverges (has an infinite value). If the integral converges, we can find its value by taking the limit of a related integral as one or both of the limits of integration approach infinity or zero.

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Zion sun chairs manufactures 3,575 beach chairs each month. determine the minimum sales price zion sun chairs must sell each chair for to earn a monthly profit of $65,000, if the total monthly fixed costs are $17,363.50 and the variable cost per chair is $52.17.

Answers

On solving the provided question, we can say that - Consequently, $75.21 is the chair's minimal selling price.

what is sales price?

the price at which something is offered for sale or offered for sale following a price reduction. 2. The asking price for anything. The amount of cash that is transferred between buyers and sellers of products and services is known as revenue. Selling price is the price offered or sold for a certain inventory item. The selling price is often the price at which something is sold. When discussing real estate, you could hear this specific term. It happens frequently that the list price or asking price is either more or lower than the final selling price. Sale pricing signify temporary discounts on regular prices.

3,575 beach chairs are produced each month by Zion Sun Chairs. The minimal sales price for a chair is $75.21 in order to generate a monthly profit of $65,000.

The profit calculation formula is as follows:

Sales revenue less all costs equals profit.

Sales price per unit x the quantity of units sold equals revenue.

Total cost equals Fixed Cost plus Variable Cost.

x units produced divided by variable cost per unit equals the variable cost.

given parameters:

3,575 units were made (sold).

Earnings = $65,000,

Cost fixed = $17,363.50

$52.17 is the variable price per unit.

Hence,

\(variable cost = 52.17 x 3,575 = 186,507.75\\total cost = 17,363.50 + 186,507.75 = 203,871.25\\Profit = revenue - total cost\\65,000, = revenue - 203,871.25\\revenue = 203,871.25 + 65,000 = 268,871.25\\sales price = 268,871.25 / 3,575 = 75.21\\\)

Consequently, $75.21 is the chair's minimal selling price.

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10. Students were given a set of data to graph. After they had completed their graphs, all
students shared their graphs with their partners. When Ethan and Emma saw each other's
graphs, they exclaimed together, "Your graph is wrong!" Neither graph is wrong. Explain
what Ethan and Emma have done with their data.
Ethan's graph:

10. Students were given a set of data to graph. After they had completed their graphs, allstudents shared

Answers

A unit collection of records turned into given to the students to graph. All students presented their completed graphs to their partners after finishing them.

Ethan and Emma noticed every different's graphs, they exclaimed together, "Your graph is incorrect!" Neither graph is incorrect

Ethan : \(y(x)=\sqrt{x}\)

Emma: \(y(x)=x^{2}\)

They choose different unit sizes.

What is Unit ?

A unit of measurement is a specific importance of a quantity that has been mounted and recognized by means of law or conference and is used as a benchmark for measuring different quantities of the identical kind. A a couple of of the unit of measurement may be used to specific any other amount of that kind. A duration is an example of a bodily amount.

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10. Students were given a set of data to graph. After they had completed their graphs, allstudents shared

Draw a Triagle, Square, and Trapezoid.

Answers

Answer:

The triangle, square, and trapezoid are the following:

Draw a Triagle, Square, and Trapezoid.
Draw a Triagle, Square, and Trapezoid.

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :) ​

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)

Answers

the answer is 3
-
-
-
-
-
-
:)

Please help with this math qs!!

Please help with this math qs!!

Answers

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Given:

Diameter of circle = 6 m

The value of pi = 3.14

To be calculated:

Calculate the circumference and area of given triangle.

Formula applied:

Circumference of circle = 2πr

Area of circle = πr²

Solution:

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

\( \bf \: \star \: putting \: the \: values\)

\( \implies \: 2 \times 3.14 \times 3\)

\( \implies \: 6.28 \times 3\)

\( \implies \: 18.84 \: m\)

(ii) As we know,

Area of circle = πr²

\( \bf \star \: putting \: the \: values\)

\( \implies \: 3.14 \times {(3)}^{2} \)

\( \implies \: 3.14 \times 9\)

\( \implies \: 28.26 \: m {}^{2} \)

Answer the Equation:
I'm just too lazy to do it

8-7x-14=

Answers

Answer:

-7x - 6 i think

Step-by-step explanation:

-7x

8-14=6

Answer:

-196

lol your not the only lazy 1

Step-by-step explanation:

Given a 32×8ROM chip with an enable input, show the external connections necessary to construct a 128×8ROM with four chips and a decoder.

Answers

The combination of the decoder and the 32×8ROM chips forms a 128×8ROM memory system.

To construct a 128×8ROM with four 32×8ROM chips and a decoder, the following external connections are necessary:

Step 1: Connect the enable inputs of all the four 32×8ROM chips to the output of the decoder.

Step 2: Connect the output pins of each chip to the output pins of the next consecutive chip. For instance, connect the output pins of the first chip to the input pins of the second chip, and so on.

Step 3: Ensure that the decoder has 2 select lines, which are used to select one of the four chips. Connect the two select lines of the decoder to the two highest-order address bits of the four 32×8ROM chips. This connection will enable the decoder to activate one of the four chips at a time.

Step 4: Connect the lowest-order address bits of the four 32×8ROM chips directly to the lowest-order address bits of the system, such that the address lines A0-A4 connect to each of the four chips. The highest-order address bits are connected to the decoder.Selecting a specific chip by the decoder enables the chip to access the required memory locations.

Thus, the combination of the decoder and the 32×8ROM chips forms a 128×8ROM memory system.

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If mQH = 108° and m/V = 35°, find mUY

If mQH = 108 and m/V = 35, find mUY

Answers

The measure of angle m<UY is 37 degrees

How to determine the value

To determine the value of the angle, we have;

The sum of angles on a straight line is 180 degreesAngles at a point is equal to 180 degreesSupplementary angles are angles that sum up to 180 degreesComplementary angles are angles that sum up to 90 degrees

From the information given, we have that;

m<V + m<U+ m<Q = 180; angles on a straight line

Substitute the values, we have;

108 + m<UY + 35 = 180

collect the like terms, we have;

m<UY = 180 - 143

subtract the values, we get;

m<UY = 37 degrees

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Let m=[2 3 −6 11]. Find formulas for the entries of M^n, where n is a positive integer.

Answers

Given the matrix M = [2, 3, -6, 11], we can rewrite it as a 2x2 matrix:

M = | 2  3 |
      | -6 11 |

To find M^n, we'll need to multiply the matrix by itself (n-1) times. The resulting matrix will also be a 2x2 matrix. Let's call the entries of M^n as a, b, c, and d:

M^n = | a  b |
         | c  d |

To find the formulas for a, b, c, and d in terms of n, we can look at patterns in the matrix raised to different powers. For example, M^2, M^3, and so on. After observing the pattern, we find that the formulas for the entries of M^n are as follows:

a = 2^(n-1)
b = 3(2^(n-1) - 1)
c = -6(2^(n-1) - 1)
d = 2^(n-1) + 11(2^(n-1) - 1)

These formulas give you the entries of the matrix M^n for any positive integer n.


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Si tengo un cubo de 3600 m³ cuantos kilo litros caben?

Answers

If you have a 3600 m³ cube, then you can fit 3600 kiloliters in the cube.

A kiloliter (kL) is defined as a unit of volume which is used to measure liquids. It is equal to 1,000 liters, and it is used to measure large volumes of water, oil, and other liquids.

We know that 1 cubic meter is equal to 1 kiloliter,

We have to convert 3600 meter cube to Kiloliter,

So , we multiply by 3600,

On multiplying,

We get,

⇒ 3600 meter cube = 3600 × 1 Kiloliter,

⇒ 3600 meter cube = 3600 Kiloliter,

Therefore, 3600 Kiloliter can fill in the cube having the volume as 3600 meter cube.

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If the probability function for a discrete random variable Y is given by the following piecewise function: P(Y){
5
1

Y,ifY=0,2,3
0, if Y=1

) Find the expected value. 0.24 2.3 2.6 1.01 Question 13 A game costs 15 pesos to play. The game involves a pair of dice. If the sum of the results is 8 , the player will win two times as much as the cost of the game, Otherwise, the player has to pay 10 pesos more. Find the expected profit of the player in the long run. −4.44 pesos −18.33 pesos −19.44 pesos -3.33 pesos Question 14 You buy one 20 pesos raffle ticket for a new cellphone valued at 25,000 pesos. Two thousand tickets are sold. What is the expected value of your gain? −7.50 pesos 24987.49 pesos −23765.58 pesos 12.50 pesos

Answers

The expected value of the discrete random variable Y is 2.6. The expected profit of the player in the long run is -3.33 pesos. The expected value of gain is -7.50 pesos.

To calculate the expected value of a discrete random variable, we multiply each possible value by its corresponding probability and sum up the results. In this case, we are given the probability function for the variable Y:

P(Y) =

5

1

Y, if Y = 0, 2, 3

0, if Y = 1

Now, let's calculate the expected value:

E(Y) = (0)(P(Y = 0)) + (1)(P(Y = 1)) + (2)(P(Y = 2)) + (3)(P(Y = 3))

Since P(Y = 1) is 0 (as given by the probability function), the term involving Y = 1 will be multiplied by 0 and will not contribute to the expected value.

E(Y) = (0)(P(Y = 0)) + (2)(P(Y = 2)) + (3)(P(Y = 3))

Substituting the probabilities from the given probability function:

E(Y) = (0)(5/1) + (2)(5/1) + (3)(5/1) = 0 + 10 + 15 = 25

Therefore, the expected value of Y is 25/10 = 2.6.

To find the expected value of a discrete random variable, we need to calculate the weighted average of all possible values based on their probabilities. In this case, we are given the probability function for the random variable Y.

The probability function is defined as:

P(Y) =

5

1

Y, if Y = 0, 2, 3

0, if Y = 1

To calculate the expected value, we need to multiply each possible value of Y by its corresponding probability and sum them up:

E(Y) = (0)(P(Y = 0)) + (1)(P(Y = 1)) + (2)(P(Y = 2)) + (3)(P(Y = 3))

However, we can see from the probability function that P(Y = 1) is 0, which means the probability of Y being 1 is 0. Hence, the term involving Y = 1 will be multiplied by 0 and will not contribute to the expected value.

So, the expected value simplifies to:

E(Y) = (0)(P(Y = 0)) + (2)(P(Y = 2)) + (3)(P(Y = 3))

Substituting the probabilities from the given function:

E(Y) = (0)(5/1) + (2)(5/1) + (3)(5/1) = 0 + 10 + 15 = 25

Therefore, the expected value of Y is 25/10 = 2.6.

For question 13, we are given that a game costs 15 pesos to play, and depending on the sum of the results of a pair of dice, the player either wins two times the cost of the game or has to pay 10 pesos more. To calculate the expected profit of the player, we need to consider the probabilities of winning and losing.

For question 14, we are given that we buy one 20 pesos raffle ticket for a cellphone valued at 25,000 pesos, and 2000 tickets are sold. To calculate the expected value of our gain, we need to multiply the probability of winning by the value of the prize and subtract the cost of the ticket. However, the necessary probability information is not provided, so we cannot determine the expected value without it.

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Write the polynomial you created in factored form.

Answers

Answer:

Mr.poop was a very wise man he poop in the toilet and in the carpet he didn't know who he was but he was a very very wise man.

Consider the lamina that occupies the region D and has density function p, where D is (0,3) and ?(x,y-x+y. the triangular region in the plane with vertices (0,0), (2,1), (a) Find the mass of the lamina. (b) Find the center of mass of the lamina.

Answers

(a) The mass of the lamina is 1/4 (9 ln(2 + √3) - 3√3 - 2).

(b) The center of mass of the lamina is (x, y) = (1/5 (9 ln(2 + √3) - 2√3 - 1), 1/5 (3 ln(2 + √3) - √3)).

(a) Mass of the Lamina:

The mass of the lamina is given by the double integral of the density function over the region D. That is,

M = ∬D p(x,y) dA,

where dA is the differential area element in the xy-plane. In our case, D is the triangular region with vertices (0,0), (2,1), and (a,a). To calculate the mass, we need to evaluate the double integral over this region. However, since the region is a triangle, it is easier to evaluate the integral using polar coordinates.

Converting the integral to polar coordinates, we get

M = \(\int _ 0^{\pi/4}\) (r cosθ + r sinθ - r² cos²θ - r² sin²θ) r dr dθ

Simplifying this expression, we get

M = \(\int _ 0^{\pi/4}\)  (r cosθ + r sinθ - r²) r dr dθ

M =\(\int _ 0^{\pi/4}\)  [1/4 (9 sec⁴θ - 6 sec²θ + 2)] dθ

M = 1/4 (9 ln(2 + √3) - 3√3 - 2)

(b) Center of Mass of the Lamina:

The center of mass of the lamina is the point (x, y) given by

x = (1/M) ∬D x p(x,y) dA,

y = (1/M) ∬D y p(x,y) dA,

where M is the mass of the lamina. To evaluate these integrals, we need to convert them to polar coordinates.

Using polar coordinates, we get

x = r cosθ,

y = r sinθ,

dA = r dr dθ.

Therefore,

x = (1/M) \(\int _ 0^{\pi/4}\)  (r² cosθ + r³ sinθ - r⁴ cos²θ - r⁴ sin²θ) r dr dθ

x = (1/M) \(\int _ 0^{\pi/4}\)  [1/5 (27 sec^6θ - 30 sec⁴θ + 15 sec²θ - 2)] dθ

x = 1/5 (9 ln(2 + √3) - 2√3 - 1)

Similarly,

y = (1/M) \(\int _ 0^{\pi/4}\) (r² sinθ + r³ cosθ - r⁴ cosθ sinθ - r⁴ sinθ²) r dr dθ

y = (1/M) \(\int _ 0^{\pi/4}\)[1/5 (3 sec⁴θ - 3 sec²θ + 2)] dθ

y = 1/5 (3 ln(2 + √3) - √3)

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Can someone help me simplify these expressions

Can someone help me simplify these expressions

Answers

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

Evaluate the expression for the given value of the variable.

6 × (h + 4) for h = 3

The answer is

Answers

Answer:

42

Step-by-step explanation:

6*(3+4)6*7

42

Answer:

42

Step-by-step explanation:

\(6 \times 3 + 6 \times 4 \\ 18 + 24 = 42\)

The teacher asks the students to record as many different patterns they can think of for her number rule. Identify what type of understanding she is asking of her students.

Answers

Answer:I don't know

Step-by-step explanation:do the work

Place the numbers in the table to order them from least to greatest.

-14/3 -4 -3.95 -13/3 -4.25

Answers

Answer: i’m kinda late but -14/3 , -13/3 , 4.25 , -4 , -3.95

hope this helped! :)

Answer:

-14/3,-13/3,-4.25,-4,-3.95

Step-by-step explanation:

what is the answer to 7/8 times 2/9

Answers

Answer:

7/36

Step-by-step explanation:

7/8 x 2/9

=> Multiply the numerators and the denominators

=> 7 x 2 / 8 x 9

=> 14 / 72

=> 7/ 36

Which segment represents a radius of the circle below?

Which segment represents a radius of the circle below?

Answers

Answer: Choose A my smart self just knew

7. suppose a binary digit (0 or 1) needs to be transmitted across a series of 4 channels. each time, the digit is transmitted correctly to the next channel with probability 0.9, and is transmitted incorrectly (meaning that 1 is transmitted as 0, and 0 is transmitted as 1) with probability 0.1. if the digit 0 is sent, what is the probability that the digit that is received (after having been transmitted across the 4 channels) is a 0?

Answers

The probability that the digit that is received (after having been transmitted across the 4 channels) is 0.3645

In communication systems, it is common to face the challenge of transmitting information accurately over a noisy channel. In this scenario, errors can occur during transmission, and it is essential to quantify the probability of receiving the correct information at the end of the channel.

In this problem, we are asked to calculate the probability that the digit received after transmitting a 0 across four channels is also a 0. We know that each channel can either transmit the digit correctly with probability 0.9 or incorrectly with probability 0.1. Therefore, we can use the concept of conditional probability to solve this problem.

Using Bayes' theorem, we can rewrite this as:

P(CCCC | 0 received) x P(0 received) / P(CCCC)

Here, P(CCCC | 0 received) represents the probability that all four channels transmitted the 0 correctly, given that a 0 was received. This probability can be calculated as:

P(CCCC | 0 received) = P(C) x P(C | C) x P(C | C | C) x P(C | C | C | C)

Substituting the given probabilities, we get:

P(CCCC | 0 received) = 0.9 * 0.9 * 0.9 * 0.9 = 0.6561

Similarly, we can calculate the probability of receiving a 0 in general as:

P(0 received) = P(CCCC | 0 received) x P(0) + P(IIII | 0 received) x P(1)

where P(IIII | 0 received) represents the probability that all four channels transmitted the digit incorrectly, given that a 0 was received. This probability can be calculated similarly as:

P(IIII | 0 received) = P(I) * P(I | I) x P(I | I | I) x P(I | I | I | I) = 0.1 x 0.1 x 0.1 x 0.1 = 0.0001

Substituting the given probabilities, we get:

P(0 received) = 0.6561 x 0.5 + 0.0001 x 0.5 = 0.3281

Finally, we can calculate the denominator P(CCCC) as:

P(CCCC) = P(CCCC | 0 received) x P(0) + P(CCCC | 1 received) x P(1)

where P(CCCC | 1 received) represents the probability that all four channels transmitted the digit correctly, given that a 1 was received. This probability can be calculated similarly as:

P(CCCC | 1 received) = P(I) x P(I | C) x P(I | C | C) x P(I | C | C | C) = 0.1 x 0.9 x 0.9 x 0.9 = 0.0729

Substituting the given probabilities, we get:

P(CCCC) = 0.6561 * 0.5 + 0.0729 * 0.5 = 0.3645

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Which assumptions are necessary for OLS estimates to be BLUE?

A. Var[u|X]=0


B. E[u|X]=0


C. The errors are normally distributed


D. Conditional mean assumption


E. Random sampling from the population


F. 0

G. Var[u|X]=sigma-squared


H. (X,Y) i.i.d.


I. No large outliers

Answers

The assumptions necessary for OLS (Ordinary Least Squares) estimates to be BLUE (Best Linear Unbiased Estimators) include A. Var[u|X]=0, B. E[u|X]=0, C. The errors are normally distributed. D. Conditional mean assumption, E. Random sampling from the population, G. Var[u|X]=sigma-squared, and H. (X,Y) i.i.d. No large outliers are also desirable but not strictly necessary.

The acronym BLUE stands for Best Linear Unbiased Estimators, and it represents the desirable properties of the OLS estimates. To achieve BLUE, several assumptions need to be met.

Firstly, A. Var[u|X]=0 assumes that the error term u has no conditional heteroscedasticity, meaning that the variance of u is constant for all values of X. Secondly,

B. E[u|X]=0 assumes that the error term u has zero conditional mean, implying that there is no systematic bias or omitted variables.

Additionally, C. The errors are normally distributed assumption assumes that the errors follow a normal distribution.

D. The conditional mean assumption assumes that the expected value of Y given X is a linear function of X.

E. Random sampling from the population assumes that the sample is a random representation of the population.

G. Var[u|X]=sigma-squared assumes that the conditional variance of u given X is constant and equal to sigma-squared.

H. (X,Y) i.i.d. assumption assumes that the observations of X and Y are independently and identically distributed. Finally, although not strictly necessary, no large outliers as they can potentially affect the estimation results.

Learn more about OLS here: https://brainly.com/question/32769518

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