Two events, E1 and E2, are defined for a random experiment. What is the probability that at least one of the two events occurs in any trial of the experiment?

Answers

Answer 1

P(E1) + P(E2) - P(E1 ∩ E2) is the probability that at least one of the two events occurs in any trial of the experiment.

The correct answer is D. P(E1) + P(E2) - P(E1 ∩ E2).

The probability that at least one of two events occurs can be calculated using the principle of inclusion-exclusion.

The formula for this is:

P(E1 or E2) = P(E1) + P(E2) - P(E1 and E2)

Where:

P(E1) is the probability of event E1 occurring.

P(E2) is the probability of event E2 occurring.

P(E1 and E2) is the probability of both events E1 and E2 occurring simultaneously.

This formula represents the probability that at least one of the two events (E1 or E2) occurs in any trial of the experiment.

It's derived using the principle of inclusion-exclusion.

P(E1) represents the probability of event E1 occurring.

P(E2) represents the probability of event E2 occurring.

P(E1 ∩ E2) represents the probability of both events E1 and E2 occurring simultaneously.

By adding the probabilities of each individual event and then subtracting the probability of their intersection, you're accounting for the possibility of double-counting the intersection when adding the probabilities of the individual events.

So, the formula accurately captures the probability of at least one of the two events occurring.

Hence, P(E1) + P(E2) - P(E1 ∩ E2) is the probability that at least one of the two events occurs in any trial of the experiment.

The correct answer is D. P(E1) + P(E2) - P(E1 ∩ E2).

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complete question:

Two events, E1 and E2, are defined for a random experiment. What is the probability that at least one of the two events occurs in any trial of the experiment?

A.

P(E1) + P(E2) − 2P(E1 ∩ E2)

B.

P(E1) + P(E2) + P(E1 ∩ E2)

C.

P(E1) − P(E2) − P(E1 ∩ E2)

D.

P(E1) + P(E2) − P(E1 ∩ E2)


Related Questions

3. Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property. What are solutions to quadratic equations called? Show your work.

Answers

Answer:

×=-2+12/2,the anwser is ×=5,×=-7

Construct parametric equations describing the graph of the line passing through the following points.(-1,-16) and (19,11)If x = t - 2, find the parametric equation for y.

Construct parametric equations describing the graph of the line passing through the following points.(-1,-16)

Answers

The line passes through the point:

\((-1,-16)\text{ and }(19,11)\)

We can use the slope-intercept form of a linear equation to get the line:

\(y=mx+b\)

where

\(m=\frac{y_2-y_1}{x_2-x_1}\)

The points are:

\(\begin{gathered} (x_1,y_1)=(-1,-16) \\ (x_2,y_2)=(19,11) \end{gathered}\)

Using the formula, we have:

\(\begin{gathered} m=\frac{11-(-16)}{19-(-1)}=\frac{11+16}{19+1} \\ m=\frac{27}{20} \end{gathered}\)

Thus, the equation is in the form:

\(y=\frac{27}{20}x+b\)

At the point (-1, -16), we have:

\(\begin{gathered} -16=\frac{27}{20}(-1)+b \\ -16=-\frac{27}{20}+b \\ b=-16+\frac{27}{20} \\ b=-\frac{293}{20} \end{gathered}\)

Therefore, the equation will be:

\(y=\frac{27}{20}x-\frac{293}{20}\)

A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.


If north is taken as the positive direction, what is the velocity of the ship?



7 miles per hour , 7 miles per hour , ,


–3 miles per hour , –3 miles per hour , ,


3 miles per hour , 3 miles per hour , ,


–7 miles per hour

please help!!!

Answers

Answer:

3 miles per hour

Step-by-step explanation:

Find the domain and range of these functions.


a. the function that assigns to each nonnegative integer its last digit.

b. the function that assigns the next largest integer to a positive integer

c. the function that assigns to a bit string the number of one bits in the string

d. the function that assigns to a bit string the number of bits in the string

Answers

a) Domain: All non-negative integers.

   Range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

b) Domain: Positive integers.

   Range: All positive integers except for the greatest integer.

c) Domain: Any bit string.

   Range: The set of non-negative integers from 0 to the length of the string inclusive.

d) Domain: Any bit string.

   Range: Non-negative integers.

The requested terms, domain and range, refer to the values in the function. They are, however, quite different in nature. In this case, we'll need to define both terms before moving on to the actual problem.

The domain refers to the input values that a function can accept. It's the set of values that can be plugged into the function's equation to get a meaningful result. We'll say that a function has a restricted domain if it doesn't accept all input values.

The range is the set of output values that a function generates for each input value. It's the complete set of possible outcomes for a given function. It's vital to determine the range to ensure that the function is well-defined.

Let's apply this to the problem at hand:

a. the function that assigns to each non-negative integer its last digit.

Domain: All non-negative integers.

Range: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

b. the function that assigns the next largest integer to a positive integer.

Domain: Positive integers.

Range: All positive integers except for the greatest integer.

c. the function that assigns to a bit string the number of one bits in the string.

Domain: Any bit string.

Range: The set of non-negative integers from 0 to the length of the string inclusive.

d. the function that assigns to a bit string the number of bits in the string.

Domain: Any bit string.

Range: Non-negative integers.

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help pleaseeeeeee !!!

help pleaseeeeeee !!!

Answers

Answer:

Step-by-step explanation:

6 is the maximum value

so the inequality is

x ≤ 6

help pleaseeeeeee !!!

Answer:

Part A:

The inequality would be less than or equal to, since the temperature isn't greater than 6, but the phrase doesn't get rid of the possibility that it could be less than 6. Hope that makes sense!

Also, the inequality sign would be: ≤

Part B:

For the graph, you woulld plot a closed circle on the 6, with an arrow heading left.

Hope this helps!

Can you help me solve this problem??

Can you help me solve this problem??

Answers

The function that models the averageTannual cost of owning a small dog for x years is f(x) = (180 + 400x) / x

How to depict the function

The total cost of owning a small dog for x years can be expressed as the sum of the one-time cost and the continuing costs for x years, which is:

Total Cost = One-time Cost + Continuing Costs for x years

Total Cost = $180 + $400x

In this case, to find the average annual cost, we divide the total cost by the number of years:

Average Annual Cost = Total Cost / x

Average Annual Cost = ($180 + $400x) / x

Therefore, the function that models the average annual cost of owning a small dog for x years is: f(x) = ($180 + $400x) / x

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A swimmer swims 2 kilometers every 15 minutes. If he comes to swim at the same rate which graph best represents his swimming speed in kilometers per minute

A swimmer swims 2 kilometers every 15 minutes. If he comes to swim at the same rate which graph best

Answers

Answer:

62

Step-by-step explanation:

divide lang yan.piste kasi bat kailangan 20 letters

Answer:

la respuesta es la D

Step-by-step explanation:

la velocidad es constante

Clothing price (100 percent) is 26 dollars and 50 cents, Added tax is 5 percent, and total cost is blank.
Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?

Step 1: (Original Price)(Tax Percent) = Amount of Tax

Step 2: Original Price + Amount of Tax = $

Answers

The total price he has to pay for the clothes is 27.83

What is Percentage ?

Percentage can be defined as the product ratio of given value, total value and hundred.

Clothing price (100 percent) is 26 dollars and 50 cents, Added tax is 5 percent, and total cost is blank.

Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent.

If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05)

which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.

Therefore, The total price he has to pay for the clothes is 27.83

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It’s not the third answer can someone help plz !!!! I’ll give brainliest

Its not the third answer can someone help plz !!!! Ill give brainliest

Answers

Answer:

2nd

Step-by-step explanation:

Answer:

i believe the answer is b

Step-by-step explanation:

A rectangular prism has height h, length l, and width w. Suppose 8 is subtracted from the length. What is the surface area of the new rectangular prism in terms of l,w and h ?

Answers

To find the surface area of the new rectangular prism after subtracting 8 from the length, we need to consider the effect on each face.

The original rectangular prism has six faces:

Top face: Area = l * w

Bottom face: Area = l * w

Front face: Area = l * h

Back face: Area = l * h

Left side face: Area = w * h

Right side face: Area = w * h

After subtracting 8 from the length, the new length becomes (l - 8). The other dimensions (width and height) remain unchanged.

The surface area of the new rectangular prism can be calculated as follows:

Top face: Area = (l - 8) * w

Bottom face: Area = (l - 8) * w

Front face: Area = (l - 8) * h

Back face: Area = (l - 8) * h

Left side face: Area = w * h

Right side face: Area = w * h

To find the total surface area, we add up the areas of all six faces:

Total Surface Area = 2 * (l - 8) * w + 2 * (l - 8) * h + w * h

So, the surface area of the new rectangular prism in terms of l, w, and h is given by the expression:

2 * (l - 8) * w + 2 * (l - 8) * h + w * h

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Please do this!! I really need help

Please do this!! I really need help

Answers

Answer: 7313

Step-by-step explanation:

what is the value of ( 7 plus 2 cubed) x 9

Answers

Answer:

135

Step-by-step explanation:

\((7 + 2 {}^{3} ) \times 9 \\ = (7 + 8) \times 9 \\ = 15 \times 9 \\ = 135\)

Answer:

135

Step-by-step explanation:

2 cubed=8

8+7=15

15x9=135

e10-8 (static) preparing journal entries to record issuance of bonds at face value, payment of interest, and early retirement [lo 10-3]on january 1, innovative solutions, incorporated, issued $200,000 in bonds at face value. the bonds have a stated interest rate of 6 percent. the bonds mature in 10 years and pay interest once per year on december 31.

Answers

The bonds have a stated interest rate of 6 percent. the bonds mature in 10 years and pay interest once per year on December 31 is

(120000, 204000).

The journal entries are shown below:

(1) Cash A/c Dr $200,000  

To Bond payable A/c $200,000  (Being bond is issued for cash)

(2) Interest expense A/c Dr $12,000 = ($200,000 × 6%)

                                                             = $ 120000

To Interest payable A/c $12,000 (Being accrued interest adjusted)

(3) Bond payable Account Dr $200,000

  Premium on retirement of bond A/c Dr $4,000

To Cash Account $204,000 = ($200,000 × 102%)

                                                = 204000

(Being the early retirement of the bonds is recorded)

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IM IN NEED OF HELP .!!Antonio is at Best Buy and all TV's are 30% off. He finds a 75" OLED that he
wants, the price is $1500. What is the discount amount and how much did he
pay for the TV? Write and equation

Answers

Answer:

$450. The amount Antonio bought the tv for was $450.

Step-by-step explanation:

If all the tv's are 30%, multiple 30 by the price of the tv he wants, giving you 45000. Then, divide by 100 because a percent is out of a hundred, giving you $450

Formula:

(30x1500)/100

In an instruction like: z = x + y, the symbols x, y, and z are examples of _____.

a. output
b. visibles
c. variables
d. instructions

Answers

The symbols x, y, and z are examples of variables in an instruction like z = x + y.

A variable is a term that signifies anything that can be varied or altered. In programming, variables are utilized to hold values that might be modified and used in later code.

A variable is a name that identifies a memory location where data is stored. It can be changed anytime. Variables are commonly used in mathematical expressions, such as those seen in algebra. For example, x + 150 = 300In this instance, x is the variable. 150 and 300 are constants.

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Find from first principle,the differential coefficient of;sin(ax+b)

Answers

Answer:

Step-by-step explanation:

If the sum of the interior angles of a regular polygon is 1620°, what is the measure of one exterior angle. Round to the nearest tenth.

Answers

\(\textit{sum of all interior angles in a polygon}\\\\ S =180(n-2) \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ S =1620 \end{cases}\implies 1620=180(n-2) \\\\\\ \cfrac{1620}{180}=n-2\implies 9=n-2\implies \underline{11=n} \\\\[-0.35em] ~\dotfill\)

\(\textit{sum of all exterior angles in a regular polygon}\\\\ n\theta = 360 \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{angle~in}{degrees}\\[-0.5em] \hrulefill\\ \underline{n=11} \end{cases}\implies 11\theta =360\implies \theta =\cfrac{360}{11}\implies \theta \approx 32.7^o\)

Interior angles of a regular polygon

A regular polygon is a figure in which all the sides have the same length that is, they are equal and all the interior angles are of the same measure.

The formula to calculate the interior angles of any regular polygon is:( n - 2 ) 180°

This regular polygon is a hendecagon.

A hendecagon is a polygon that has 9 equal sides.

If the sum of the interior angles is 1620°, then

( n - 2 ) 180° = 1620

As a second step, we divide by 180:

( n-2 ) = 1620 ➗ 180

We divide

n - 2 = 9

We change the direction, as the sign is negative, in the change of direction it starts to add.

n = 9 + 2

We add both numbers.

n = 11

Answer: the measure of the exterior angle of the regular polygon (hendecagon) is 11. ✅

someone sole this please?!

someone sole this please?!

Answers

Answer:

\( \frac{3x}{5} - \frac{1}{10} = \frac{x + 2}{10} - 2 \\ \frac{6x - 1 = x + 2 - 20}{10} \\ 6x - x = - 18 + 1 \\ 5x = - 17 \\ x = - \frac{17}{5} \)

Answer:

x= -17/5 or x=-3.4

Step-by-step explanation:

1. multiply both sides of equation by 10 (6x-1 = x+2-20)

2, calculate the difference (6x -1=x-18)

3. move the terms ( 6x-x-1=-18)

4. collect like terms ( 5x=-18+1)

5. divide both sides (x=-17/5)

A bank loaned out $8200, part of it at a rate of 7.9% per year and the rest of it at a rate of 7.4% per year. The total amount of interest owed to the bank at the end of one year was $614.67.

Find the amount of money that the bank loaned out at 7.9%.

Answers

The amount that the bank loaned out at 7.9% is $1,574.00

How do represent the amounts lent at different rates?

On the assumption that x amount was loaned at 7.9% and that the remaining amount, (8,200-x) was loan out at 7.4%, we can determine the interest charged on each loan as the loan multiplied by the interest rate

interest on 7.9% loan=7.9%*x=0.079x

interest on 7.4% loan=7.4%*(8200-x)

interest on 7.4% loan=606.80-0.074x

total interest=0.079x+606.80-0.074x

total interest=0.005x+606.80

total interest on loans=614.67

614.67=0.005x+606.80

614.67-606.80=0.005x

7.87=0.005x

x=7.87/0.005

x=amount loaned at 7.9%=$1,574.00

y=$8200-$1574

y=$6,626.00

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HELP MEEEEE PLEASEEEEEE

HELP MEEEEE PLEASEEEEEE

Answers

The bus is covering a distance of 42 miles in 1 hour 30 minutes then the speed of the bus will be 28 mph.

What is Average speed?

The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.

As per the given data provided in the question,

Total distance traveled by bus = 42 miles

Total time is taken by the bus = 1 hour 30 minutes = 1.5 hours.

Then the average speed of the bus will be,

\(Average\ Speed(S) = Total\ Distance/Total\ Time\)

S = 42/1.5

S = 28 mph.

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The height of a hill, h(x), in a painting can be written as
a function of x, the distance from the left side of the
painting. Both h(x) and x are measured in inches.
What is the height of the hill in the painting 3 inches
from the left side of the picture?
06 inches
n(x) = -
-- }(x)/x = 13)
O 13 inches
O 30 inches
O 150 inches

Answers

The answer is
The second one 30 inches

2. a company is conducting a sweepstakes, and ships two boxes of game pieces to a particular store. box a has 4% of its contents being winners, while 6% of the contents of box b are winners. box a contains 34% of the total tickets. if the contents of both boxes are mixed in a drawer and a ticket is chosen at random, a. what is the probability the ticket is a winner? b. what is the probability the ticket came from box a if it is a winner?

Answers

The winner's probability is 0.064.

Given:

The odds of winning box A are 40%, which is 0.4 percent.

The odds of winning box B are 1-4%, which is 0.6 percent.

The odds of winning box B are 6%, which is 0.06 percent.

Find:

Calculation of the winner's probability:

The probability of winning is equal to the probability of winning box A, the probability of winning box B, and the probability of winning box A. The probability of winning is equal to [0.4][0.07] and [0.6][0.06]. The probability of winning is equal to 0.028 and the probability of winning is equal to 0.036.

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Multiply.
(x - 2)(x + 3)

Answers

I’m pretty sure the answer is x^2 + x - 6

Answer:

espero y te ayude esto de aquí

Multiply.(x - 2)(x + 3)

Find CB.
A
12
с
13
в

Find CB.A1213

Answers

Answer:

25

Step-by-step explanation:

I used Pythagoras theorem

\(m {}^{2} + d {}^{2} = a {}^{2} \)

I used this equation to solve the question

\(x {}^{2} + 12 {}^{2} = 13 {}^{2} \)

then I sold for x by doing the inverse operation or subtracting both sides by 12 to the power of 2

\(x {}^{2} + 12 {}^{2} - 12 {}^{2} = 13 {}^{2} - 12 {}^{2} \)

\(x = 25\)

if you want more info I am willing to help.

.

Amorphophallus johnsonii is a plant growing in West Africa, and it is better known as a "corpse-flower." Its common name comes from the fact that when it flowers, it gives off a "powerful aroma of rotting fish and faeces." The flowers smell this way because their principal pollinators are carrion beetles, who are attracted to such a smell. Beath observed the number of carrion beetles (Phaeochrous amplus) that arrive per night to flowers of this species. The data are as follows:
51, 45, 61, 76, 11, 117, 7, 132, 52, 149
a. What is the mean and standard deviation of beetles per flower?
b. What is the standard error of this estimate of the mean?
c. Give an approximate 95% confidence interval of the mean. Provide lower and upper limits.
d. If you had been given 25 data points instead of 10, would you expect the mean to be greater, less than, or about the same as the mean of this sample?
e. If you had been given 25 data points instead of 10, would you have expected the standard deviation to be greater, less than, or about the same as this sample?
f. If you had been given 25 data points instead of 10, would you have expected the standard error to be greater, less than, or about the same as this sample?

Answers

After calculation, a) 68.1 and 46.5 b) 14.7 c) 33.8, 102.4 d) the mean is expected to be about the same e) the standard deviation is expected to be about the same f) the standard error is expected to be smaller.

a. To calculate the mean and standard deviation of the number of beetles per flower, we use the following formulas:

Mean = (Sum of all data points) / (Number of data points)

Standard deviation = sqrt((Sum of (each data point - Mean)^2) / (Number of data points - 1))

Using the given data, we get:

Mean = (51 + 45 + 61 + 76 + 11 + 117 + 7 + 132 + 52 + 149) / 10 ≈ 68.1

Standard deviation = sqrt(((51-68.1)^2 + (45-68.1)^2 + ... + (149-68.1)^2) / 9) ≈ 46.5

Therefore, the mean number of beetles per flower is approximately 68.1, and the standard deviation is approximately 46.5.

b. The standard error of the mean is given by the formula:

Standard error = Standard deviation / sqrt(Number of data points)

Plugging in the values, we get:

Standard error = 46.5 / sqrt(10) ≈ 14.7

Therefore, the standard error of the mean is approximately 14.7.

c. To find the 95% confidence interval of the mean, we use the formula:

95% CI = Mean ± (t-value * Standard error)where the t-value is determined by the degrees of freedom (n-1) and the desired level of confidence. For a 95% confidence interval with 9 degrees of freedom (since we have 10 data points), the t-value is approximately 2.306.

Plugging in the values, we get:

95% CI = 68.1 ± (2.306 * 14.7) = (33.8, 102.4)

Therefore, the approximate 95% confidence interval of the mean is (33.8, 102.4), with lower and upper limits of 33.8 and 102.4, respectively.

d. If we had been given 25 data points instead of 10, we would expect the mean to be about the same, assuming the additional data points are similar in distribution to the given data.

e. If we had been given 25 data points instead of 10, we would expect the standard deviation to be about the same, assuming the additional data points are similar in distribution to the given data.

f. If we had been given 25 data points instead of 10, we would expect the standard error to be smaller, since the standard error is inversely proportional to the square root of the number of data points.

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If 3.249lbs. of ore contain 0.357lbs. of copper, what percent of copper does the ore contain? 26. Out of a lot of 540 castings, 15% were found defective and were scrapped. How many were scrapped? 27. A ton of Monel metal contains 69% nickel and 28% copper. The remaining amount is composed of small quantities of other metals. What is the weight of nickel and what is the weight of copper in the Monel metal? 28. The indicated horsepower of an engine is 15 , while the actual effective horsepower is 12.75. What percent of the indicated horsepower is the actual? 29. A 2% discount may be taken on the following bills, if paid within 30 days: What are the amounts of the discounted bills? (a) $390.00 (b) $1,024.80 30. A bill is rendered for $144.00 subject to discounts of 40%, and, 2% if paid within 15 days. What amount is due?

Answers

The ore contains approximately 11.0% copper. Out of the 540 castings, approximately 81 castings were scrapped. In a ton of Monel metal, there are approximately 1380 lbs of nickel and 560 lbs of copper. The discounted amounts for the bills are: (a) $382.20, (b) $1,004.30. The amount due on the $144.00 bill, subject to discounts of 40% and 2% if paid within 15 days, is $86.40.

26.To calculate the percentage of copper in the ore, we divide the weight of copper (0.357 lbs) by the weight of the ore (3.249 lbs) and multiply by 100. The ore contains approximately 11.0% copper.

27. Out of the 540 castings, 15% were found defective and scrapped. To find the number of scrapped castings, we multiply 540 by 15% to get approximately 81 castings that were scrapped.

28. In a ton of Monel metal, 69% of the weight is nickel and 28% is copper. Assuming a ton is 2000 lbs, we calculate the weight of nickel as 69% of 2000 lbs, which is approximately 1380 lbs. The weight of copper is 28% of 2000 lbs, approximately 560 lbs.

29. The given bills of $390.00 and $1,024.80 are subject to a 2% discount if paid within 30 days. To find the discounted amounts, we subtract 2% of each bill from the original amounts. The discounted amount for (a) $390.00 is approximately $382.20, and for (b) $1,024.80 is approximately $1,004.30.

30. A bill for $144.00 is subject to discounts of 40% and 2% if paid within 15 days. First, we apply the 40% discount to get $86.40. Then, we apply the additional 2% discount to the discounted amount, which remains $86.40. Therefore, the amount due on the bill is $86.40.

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. Test: Problem Set 12 (Unit 4-Pos Externalities; Voting) If any of your answers are negative, put a minus sign in front of the number. You are given the following cost data for a perfectly competitive firm. Q TFC TVC 0 16 0 16 10 16 18 16 28 16 40 5 16 54 16 70 Calculate TC, MC, AFC, AVC, and ATC when Q = 2. TC = S MC = S AFC = $ AVC = $ATC = $[ If the market price is $15, how many units of output will this firm produce? units of output. Calculate the firm's profit: $ Will the firm operate or shut down in the short run? The firm In the long run, the firm should O A. expand because short-run profits are negative. O B. expand because short-run profits are positive. OC. shut down because short-run profits are positive. O D. neither expand nor shut down because short-run profits are positive. O E. shut down because short-run profits are negative.

Answers

a. TC, MC, AFC, AVC, and ATC when Q = 2 is TC= 34, MC = 9, AFC=8,AVC = 9 an ATC= $17

b.  If the market price is $15, this firm will produce  2 units of output.

c. The firm will operate in the short run.

a. To calculate the various cost measures, we can use the given Total Fixed Cost (TFC) and Total Variable Cost (TVC) data.

Q TFC TVC

0 16 0

10 16 18

28 16 40

54 16 70

We can calculate the Total Cost (TC) by summing TFC and TVC:

TC = TFC + TVC

For Q = 2:

TFC = 16

TVC = 18

TC = 16 + 18 = 34

To calculate Marginal Cost (MC), we need to find the change in Total Cost with respect to the change in quantity:

MC = ΔTC / ΔQ

MC = (TC2 - TC1) / (Q2 - Q1) = (34 - 16) / (2 - 0) = 18 / 2 = 9

Average Fixed Cost (AFC) is calculated by dividing Total Fixed Cost (TFC) by the quantity:

AFC = TFC / Q

AFC = 16 / 2 = 8

Average Variable Cost (AVC) is calculated by dividing Total Variable Cost (TVC) by the quantity:

AVC = TVC / Q

AVC = 18 / 2 = 9

Average Total Cost (ATC) is calculated by dividing Total Cost (TC) by the quantity:

ATC = TC / Q

ATC = 34 / 2 = 17

Now, let's determine the firm's profit. To do this, we need to compare the market price to the firm's average total cost:

Given market price = $15

ATC = $17

b. If the market price is below the average total cost (ATC), the firm will incur a loss. If the market price is equal to or above the ATC, the firm will earn a profit.

Since the market price ($15) is below the ATC ($17), the firm will incur a loss.

To determine the number of units of output the firm will produce, we need to find the quantity (Q) at which marginal cost (MC) equals the market price:

MC = $9

Market price = $15

The firm will produce the quantity (Q) at which MC = market price:

Q = 2

Therefore, the firm will produce 2 units of output.

Finally, as the firm is incurring a loss in the short run, it will operate (continue production) since shutting down would result in incurring the fixed costs (TFC) without any revenue.

The correct answer is: The firm will operate in the short run.

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|-8| - |-6| = ?
-2
2
-14
14

Answers

Absolute value : | |

Absolute value can never be zero

| -8 | = 8
| -6 | = 6

8 - 6 = 2

Hope this helped!

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
brainliest will be given

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!brainliest will be given

Answers

Answer:

£45.84.

Step-by-step explanation:

The amount of oil topped up = 1200 - 450

= 750 litres.

The discount on 750 litres =  750 * 81.5 * 0.075

= 4584.38 p

= £45.84.

If mAngleUTV < mAngleUTS < mAngleSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem. mAngleUTV = mAngleUST = mAngleSTR by the converse of the hinge theorem. mAngleUTV > mAngleUTS > mAngleSTR by the converse of the hinge theorem.

Answers

Answer:

VU < US < SR by the hinge theorem.

Step-by-step explanation:

Did quiz on edge

Answer:

A. VU < US < SR  

Step-by-step explanation:

I got a 100 on the test

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