Please help quickly: Thanks!
4 1/4 x 2 x 6 = ?

4 1/4 x 2 x 6 x 3/4 = ?

Answers

Answer 1
Answer for the 1st one: 51
Answer for the 2nd one: 38 1/4

Related Questions

The mean grade in Mathematics of Grade 11 students from school A is 83 with standard deviation of 4, while the mean grade in Mathematics of Grade 11 students from school B is 87 with standard deviation of 5. Using 49 samples from school A and 64 from school B, what is the probability that the mean grade of students from school B exceeds the mean grade of students from school A by at least 3 but less than 5?

Answers

Using the context surrounding the word trough in line 9 of "Concrete Mixers," explain what a trough looks like and what it does on a concrete mixer. .

sorry I can't delete it this not answer your question

Michael is buying a pair of jeans that regularly cost $40. They are on sale for 15% off. If the tax rate is 8.5%, what is the finale price of the jeans? Write ONE equation and solve.

Answers

Answer:

139284 238

Step-by-step explanation:

Please help question in the picture

Answers

Answer:

64 m²

Step-by-step explanation:

Area of the trapezoid = ½(a + b)h

Where,

a = 6 m

b = 10 m

h = 8 m

Plug in the values

Area = ½(6 + 10)*8

Area = ½(16)*8

Area = 8*8

Area = 64 m²

here's this too!!!!!

Answers

Answer:

6. (a-4)(a+9)

7. (3p+4)(p-2)

8. Will explain below.

9. (5b+4)(5b-4)

Step-by-step explanation:

HELLOOO IM BACK

6. -4*9 = -36 (the variable), 9-4 = 5 (a) , so a^2 +5a - 36 is fulfilled.

7. 4*-2 = -8, 4-2 = 2, so 3p^2 - 2p - 8 is fulfilled.

9. 25b^2 = (5b)^2

16 = 4^2

Using the difference of squares formula, a^2-b^2= (a+b)(a-b)

If f(x)=x squared-2x and g(x) = 6x+4 for which is a value of x does (f+g)(x) =0

Answers

Answer:

For [tex]x = -2[/tex]

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

In this question:

[tex]f(x) = x^2 - 2x[/tex]

[tex]g(x) = 6x + 4[/tex]

[tex]f(x) + g(x) = (f+g)(x)  = x^2 - 2x + 6x + 4 = x^2 + 4x + 4[/tex]

Which is a value of x does (f+g)(x) =0

[tex]x^2 + 4x + 4[/tex]

Quadratic equation with [tex]a = 1, b = 4, c = 4[/tex]

So

[tex]\Delta = 4^{2} - 4*1*4 = 0[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{0}}{2} = -2[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{0}}{2} = -2[/tex]

For [tex]x = -2[/tex]

An cylindrical oatmeal container has a diameter of 5 inches and a volume of 239.425
in. What measurement is closest to the lateral surface area of the oatmeal
container?
230.81 in 2
o
191.54 in.2
15.24 in.2
478.85 in.2

Answers

Answer:478.85 in2

Step-by-step explanation:

Just divide LOL

HELP ME LOOK AT THE PHOTO

Answers

Answer:

The answer to the question provided is 7.

Step-by-step explanation:

[tex]7x + 9 = 8x + 2 \\ \frac{ - 8x \: \: \: \: = - 8x}{ - 1x + 9 = 2 } \\ \frac{ \: \: \: \: \: \: \: \: - 9 = - 9}{ \frac{ - 1x}{ - 1} = \frac{ - 7}{ - 1} } \\ x = 7[/tex]

[I apologize if this isn't the answer]

-2 4/5 divided by -7

Answers

Answer:

2/5 or 0.4

Step-by-step explanation:

convert -14/5 / (-7)

divide 14/5 / 7  ( two negatives equal a positive)

equals 2/5 or 0.4 in decimal

the answer is 2/5 and an alternative form would be 0.4

In the image below, line q is parallel to liner, and line s is a transversal.
D
9
B
What is the relationship between the measures of ZAand ZB?
The measures of Aand ZB are
becuase they are

Answers

Answer:

equal

alternate exterior angles

Step-by-step explanation:

The measure of given angles are equal to each other because they are alternate exterior angles,

Can I have some help I don't really understand this question.

Answers

Answer:

40 square units

Step-by-step explanation:

This is a rhombus, so you multiply the two diagonals and divide by 2.

8x10÷2=40

Please help, will give brainliest.

Answers

Answer:

There is nothing.

Step-by-step explanation:

Answer:

A line that starts at with a constant positive slope

Step-by-step explanation:

Hope it makes sense!!

find the surface area of the rectangular prism.
A 90 cm2
B 135 cm2
C 225 cm2
D 270 cm2

Answers

Answer:

D. 270 cm2

Step-by-step explanation:

2*(15*5 + 15*3 + 5*3) = 270 cm2

Can someone please give me this answer

Answers

Answer:

42°

Step-by-step explanation:

According to Exterior Angle Theorem,

an exterior angle of a ∆ is equal to the sum of the opposite interior angles.

So,

h+96°=138°

h=138°-96°

h=42°

What is the value of x in this figure?
Enter your answer in the box.
x=

Please help meeee!!

Answers

Answer:

x=48°

Step-by-step explanation:

We two lines cross over each other, making four angles, the angles opposite each other are equal. They're called vertically opposite angles.

x=48 degrees
extra characters:hsjahjshajsjanns

PLEASE HELP ME

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.

Answers

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

What is the simplification of the surd expression?

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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NO LINKS!! URGENT HELP PLEASE!!

Find the probability of each event.

28. One day, 9 babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probability that exactly 4 of the 9 babies are girls?

29. A gambler places a bet on a horse race. To win, he must pick the top 3 finishers in order. 13 horses of equal ability are entered in the race. Assuming the horses finish in random order, what is the probability that the gambler will win his bet?

Answers

Answer:

28. 0.2461 or 24.61%.

29. 0.00058275 or 0.058275%.

Step-by-step explanation:

Question 28:

we can use the binomial probability formula to calculate the probability:

[tex]\boxed{\bold{P(X = k) = (nCk) * p^k * (1 - p)^(n - k)}}[/tex]

Where:

P(X = k) is the probability of getting exactly k successesnCk is the number of combinations of n items taken k at a timep is the probability of a single successn is the total number of trials

In this case, we have n = 9 babies, and each baby has a 50% chance of being a girl (p = 0.5). We want to find the probability that exactly 4 of them are girls (k = 4).

Using the formula, we can calculate the probability as follows:

[tex]\bold{P(X = 4) = (9C4) * (0.5)^4 * (1 - 0.5)^(9 - 4)}[/tex]

Calculating the values:

(9C4) = 126 (0.5)^4 = 0.0625(1 - 0.5)^(9 - 4) = 0.5^5 = 0.03125

Now, we can substitute these values into the formula:

P(X = 4) = 126 * 0.0625 * 0.03125 = 0.2461 or 24.61%

Therefore, the probability that exactly 4 out of 9 babies are girls is approximately 0.2461 or 24.61%.

Question 29:

We need to calculate the number of possible outcomes to calculate this probability, where the gambler correctly predicts the top 3 finishers in order and divides it by the total number of possible outcomes.

The total number of possible outcomes is the number of permutations of 13 horses taken 3 at a time.

This can be calculated as:

[tex]13P3 = \frac{13! }{(13 - 3)! }= \frac{13! }{ 10! }=\frac{13*12*11*10! }{ 10! }= 13 * 12 * 11 = 1,716[/tex]

Now,

To calculate the number of favorable outcomes where the gambler predicts the top 3 finishers correctly, we need to consider that there is only one correct order for the horses to finish.

Therefore, there is only one favorable outcome.

The probability of the gambler winning his bet is given by:

[tex]\boxed{\bold{P\:(winning) = \frac{Number\: of \:favorable\: outcomes }{ Total \:number \:of \:outcomes}}}[/tex]

[tex]P(winning) = \frac{1 }{1,716}=0,00058275 \: or\:0.058275%[/tex]

Therefore, the probability that the gambler will win his bet is approximately 0.00058275 or 0.058275%.

Answer:

28)  0.246 = 24.6%

29)  1/286 = 0.350%

Step-by-step explanation:

Question 28

We can model the given scenario as a binomial distribution.

Binomial distribution

[tex]X \sim \text{B}(n,p)[/tex]

where:

X is the random variable that represents the number of successes.n is the fixed number of independent trials.p is the probability of success in each trial.

Given the probability that a baby is born a girl is 0.5, and the number of babies is 9:

[tex]\boxed{X \sim \text{B}(9,0.5)}[/tex]

where the random variable X represents the number of babies who are girls.

To find the probability that at exactly 4 babies are girls, we need to find P(X = 4).

To do this, we can use the binomial distribution formula:

[tex]\boxed{\displaystyle \text{P}(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}}[/tex]

Substitute the values of n = 9, p = 0.5 and x = 4 into the formula:

[tex]\begin{aligned}\displaystyle \text{P}(X=4)&=\binom{9}{4} \cdot 0.5^4 \cdot (1-0.5)^{9-4}\\\\&=\dfrac{9!}{4!\:(9-4)!} \cdot 0.5^4 \cdot 0.5^{5}\\\\&=126 \cdot 0.0625 \cdot 0.03125\\\\& = 0.24609375\end{aligned}[/tex]

Therefore, the probability that 4 babies from a sample of 9 babies are girls is 0.246 (3 s.f.) or 24.6%.

We can also use the binomial probability density function of a calculator to calculate P(X = 4).

Inputting the values of n = 9, p = 0.5 and x = 4 into the binomial pdf:

[tex]\text{P}(X=4)=0.24609375[/tex]

Therefore, this confirms that the probability that 4 babies from a sample of 9 babies are girls is 0.246 (3 s.f.) or 24.6%.

[tex]\hrulefill[/tex]

Question 29

To calculate the probability that the gambler will win his bet, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes.

The gambler wins if he picks the top three horses in any order. There are 6 ways for the three winners to be arranged in the top three.

There are a total of 13 horses in the race.

The number of ways to choose the first-place horse is 13. After the first-place horse is chosen, there are 12 remaining horses, so the number of ways to choose the second-place horse is 12. Finally, after the first two horses are chosen, there are 11 remaining horses, so the number of ways to choose the third-place horse is 11.

Therefore, the total number of possible outcomes is:

[tex]13 \times 12 \times 11 = 1716[/tex]

Therefore, the probability that the gambler will win his bet is:

[tex]\begin{aligned} \sf Probability &=\sf \dfrac{Favorable \;outcomes}{Total\;outcomes}\\\\&=\dfrac{6}{1716}\\\\&=\dfrac{1}{286}\\\\ & \approx0.350\%\; \sf (3\;d.p.)\end{aligned}[/tex]

Printer A prints 100 pages for $23.99. Printer B prints 275 sheets for $63.99. Which printer has the better rate of cost per page?

Printer A, because the approximate rate of Printer A, $0.24 per page, is greater than the approximate rate of Printer B, $0.23 per page
Printer A, because the approximate rate of Printer A, $4.16 per page, is less than the approximate rate of Printer B, $4.30 per page
Printer B, because the approximate rate of Printer A, $0.24 per page, is greater than the approximate rate of Printer B, $0.23 per page
Printer B, because the approximate rate of Printer A, $4.16 per page, is less than the approximate rate of Printer B, $4.30 per page
PLEASE HURRY I NEEED THIS RN :)

Answers

Printer A has the better rate of cost per page because the approximate rate of Printer A, $0.24 per page, is greater than the approximate rate of Printer B, $0.23 per page.

How to calculate the rate?

Rate demonstrates how many times one number can fit into another number. It contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

In this case, Printer A prints 100 pages for $23.99. The rate is:

[tex]\sf = \dfrac{\$23.99}{100}[/tex]

[tex]\sf = 0.2399\thickapprox\$0.24 \ per \ page[/tex]

Printer B prints 275 sheets for $63.99. The rate is:

[tex]\sf = \dfrac{\$63.99}{275}[/tex]

[tex]\sf = 0.2327\thickapprox\$0.23 \ per \ page[/tex]

Therefore, based on the above calculations, we can see that Printer A has the better rate of cost per page because the approximate rate of Printer A, $0.24 per page, is greater than the approximate rate of Printer B, $0.23 per page.

So option (A) is correct.

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What is the average rate of change of the function =2sin(1/2)on the interval [0, π]?

Answers

Answer:

4/x = [tex]\frac{\pi }{6}[/tex], 5 [tex]\frac{\pi }{6}[/tex]

Step-by-step explanation:

Sorry if I am wrong

The average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].

What is the average rate of change?

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

The given function is f(x) = 2sin(1/2)x on the interval [0, π]

Here a = 0

b = π

f(a) = 2sin(1/2)a

f(0) = 0

f(b) = 2sin(1/2)π = 2

Step 2: Find Average

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\f(x) = \dfrac{2- 0}{\pi }\\\\f(x) = \dfrac{2}{\pi }\\[/tex]

Therefore, the average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].

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HELP ASAP 6TH GRADE WORK LOOK AT PHOTO

Answers

The simplified exponential function is determined as x⁴.

What is the simplification of the exponential function?

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

To simplify an exponential function, we will apply the rules of exponent as shown below;

The given exponential function;

= (∛ x² )⁶

The given expression is simplified as follows;

= [tex](x^2) ^{\frac{1}{3} \times 6}[/tex]

= ( x² )²

= x⁴

Thus, the simplified exponential function is determined by applying the rules of multiplication of powers.

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Which of the following would be the most appropriate unit to measure the volume of a bucket?

A. inch
B. cubic mile
C. cubic centimeter
D. cubic kilometer

Answers

Answer:

Volume uses cubic ___  

A mile or kilometer is to big

So an cubic centimeter is about right

C

are these correct???

Answers

Answer:

They are all correct.

Step-by-step explanation:

1.

1/2(b)(h)

1/2(4)(6)

1/2(24)

12

2. l x w

7 x 5

35

3. (b)(h)

(8)(4)

32

Label the spinner below with the letters A though J. What is the probability of landing on a vowel on the spinner and rolling a number greater that 4 on the fair number cube?

Answers

Answer:

3 for vowles and two for number

Step-by-step explanation:

I also need help on this one just need points

Equilateriall triangle. Find the length of side X in simple radical form with a rational denominator

Answers

Answer:

x = 4

Step-by-step explanation:

since the triangle is equilateral then the vertex angles are congruent, each 60°

using the sine ratio in the right triangle with x as its hypotenuse and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{12} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{12}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = [tex]\frac{2\sqrt{12} }{\sqrt{3} }[/tex] = 2 × [tex]\sqrt{\frac{12}{3} }[/tex] = 2 × [tex]\sqrt{4}[/tex] = 2 × 2 = 4

Find the probability of exactly two
successes in five trials of a binomial
experiment in which the probability of
success is 50%.
Round to the nearest tenth of a
percent.

Answers

Answer:

Step-by-step explanation: 0.5


Find the volume of a cylinder that has a radius of 1/2and a height of 1.

Answers

Answer:

0.79

Step-by-step explanation:

3. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14 m,
what is x?
A 8
C. 10
B. 9
D. 11

Answers

Answer:

D. 11

Step-by-step explanation:

Midsegment theorem:

The length of the midsegment of a triangle is half the length of it's third side.

In this question:

Third side: 3x - 5

Midsegment: 14m

So

[tex]\frac{3x - 5}{2} = 14[/tex]

[tex]3x - 5 = 28[/tex]

[tex]3x = 33[/tex]

[tex]x = \frac{33}{3}[/tex]

[tex]x = 11[/tex]

The correct answer is given by option D.

In 2006, a sample of 200 in-store shoppers showed that 42 paid by debit card. In 2009, a sample of the same size showed that 80 paid by debit card. (a) Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased. (b) Carry out the test at alpha

Answers


Hope it help youuuuu

The percentage of debit shoppers has increased.

21% (2006) < 40% (2009)

In 2006, the percentage of debit shoppers is 21%.

In 2009, the percentage of debit shoppers is 40%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

In 2006:

A sample of 200 in-store shoppers showed that 42 paid by debit card.

The percentage of debit shoppers in 2006.

= 42/200 x 100

= 42/2

= 21%

In 2009:

A sample of the same size showed that 80 were paid by debit card.

The percentage of debit shoppers in 2009.

= 80/200 x 100

= 40%

Thus,

The percentage of debit shoppers has increased.

21% (2006) < 40% (2009)

In 2006, the percentage of debit shoppers is 21%.

In 2009, the percentage of debit shoppers is 40%.

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Wendy bought a silver necklace online. It cost $23.15 plus 20% shipping and handling. What was the total cost?

Answers

The Wendy spent $27.78 on a silver necklace online.To calculate the total cost of the silver necklace, we need to add the cost of the necklace to the shipping and handling charges.

The cost of the necklace is given as $23.15.

Wendy bought a silver necklace online. It cost $23.15 plus 20% shipping and handling.

What was the total cost?When purchasing a silver necklace online, Wendy spent $23.15, but she had to pay for shipping and handling as well, which cost 20% of the total price of the item.

To find the total cost of the necklace, follow these steps:

1. Determine the cost of shipping and handling: $23.15 × 0.20 = $4.632

Add the cost of shipping and handling to the cost of the necklace:$23.15 + $4.63 = $27.78

The total cost of the necklace is $27.78.

It's important to consider the additional charges such as shipping and handling when calculating the total cost of an online purchase to have an accurate understanding of the amount spent.

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A football stadium holds 5000 people.
On a match day 5 of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2 : 3
How many of the children attending are boys?

Answers

Answer:

720 boysss

Step-by-step explanation:

Yep thts the answerrr...

Two students in different classes took the same math test. Both students received a
score of 87. In student A's class the mean was 78 and the standard deviation of 5. In
student B's class the mean was 76 with a standard deviation of 4. Which student
scored in the top 10% of their class?

Answers

Answer:

Both students scored in the top 10% of their classes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Top 10% = Above the 100 - 10 = 90th percentile.

The 90th percentile of scores is X when Z has a pvalue of 0.9, that is, Z = 1.28.

So, the student who had a z-score above 1.28 scored in the 90th percentile of their class.

In student A's class the mean was 78 and the standard deviation of 5. He scored 87.

We have that [tex]\mu = 78, \sigma = 5, X = 87[/tex]

Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{87 - 78}{5}[/tex]

[tex]Z = 1.8[/tex]

1.8 > 1.28, so student A scored in the top 10% of his/her class.

Student B's class the mean was 76 with a standard deviation of 4. Scored 87.

We have that [tex]\mu = 76, \sigma = 4, X = 87[/tex]

Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{87 - 76}{4}[/tex]

[tex]Z = 2.75[/tex]

2.75 > 1.28, so student B also scored in the top 10% of his/her class.

Both students scored in the top 10% of their classes.

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At that date, the company had no other asset, liability, evaluate the given integral by changing to polar coordinates d x^2yda where d is the top half of the disk with center the origin and radius 5 Solutions to the moral hazard in equity contracts include all of the following EXCEPT:a. the use of debt contracts. b. the use of financial intermediaries. c. government ownership of resources. d. government regulations to increase information. Let S = {(x, y, z) R3 | x2 + y2 + z2 = 1} be the unit sphere in R3, and let G be the group of rotations (of R3) about the z-axis. 9 (1) Find all the fixed points in S, i.e., s E S such that gs = s for every g eG. (2) Describe the set of orbits S/G in S under the G-action (Hint: express each orbit in terms of z). "A protein is 300 amino acids long. Which of the following could be the number of nucleotides in the section of DNA that codes for this protein? (Remember: DNA is double-stranded.)"The correct answer is 1800.I thought that each single DNA strand coded for different proteins and the other complementary strand coded for a different protein since each would result in different amino acids during translation. so therefore I originally thought the answer might be 900? Can someone help explain this for me? The estimated regression line and the standard error are given. Sick Days=14.3101620.2369(Age) se=1.682207 Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 28. Round your answer to two decimal places.Employee 1 2 3 4 5 6 7 8 9 10Age 30 50 40 55 30 28 60 25 30 45Sick Days 7 4 3 2 9 10 0 8 5 2 The economy next year will be either in a boom or in a recession. We have the following data about the payoffs of two assets (in pounds): Asset 1 Asset 2 State 1: boom 10 5 State 2: recession 4 Price today 6 4 We will consider different values of c (the payoff of asset 2 in a recession) in the questions below. a) Suppose c = 5. Find the prices of the two Arrow-Debreu securities. Is this market complete? [8 marks] b) For which value(s) of c is the market NOT complete? Is there an arbitrage opportunity if the market is not complete? If so, construct the arbitrage portfolio and compute the profit from your strategy. [7 marks] C) Now return to the assumption that c = 5. What is the risk-free rate of retum in this economy? [4 marks] d) Continue to assume that c = 5, and suppose that asset 1 is a non-dividend paying stock. A dealer quotes a price of 7 for a 1-year futures contract on the stock. Is there an arbitrage opportunity? If so, construct the arbitrage portfolio and compute the profit from your strategy. To practice Problem-Solving Strategy 27. 2 Motion in Magnetic Fields. An electron inside of a television tube moves with a speed of 2. 74107 m/s. It encounters a region with a uniform magnetic field oriented perpendicular to its trajectory. The electron begins to move along a circular arc of radius 0. 190 m. What is the magnitude of the magnetic field?Part CCalculate the magnitude F of the force exerted on the electron by a magnetic field of magnitude 8. 21104 T oriented as described in the problem introduction. Express your answer in newtons Solve the problem. The pH of a chemical solution is given by the formula pH = -log10[H] where (H+) is the concentration of hydrogen ions in moles per liter. Find the pH if the [H +1 = 8.6 x 10-3 2.07 2.93 3.93 03.07 A potential new project has a projected new income of $40,000 and depreciation expense of $6,000. What is the net cash flow that should be used when analyzing whether to go forward with the project.$40,000$34,000$46,000$6,000 The advent of omni-channels may be swinging the power equations between manufacturers and retailers as:a. Retailers are gaining power by introducing private label brandsb. Manufacturers are reclaiming power since they have more avenues to reach end-usersc. Neither a nor b above is true Which of the following is NOT TRUE, among the possible challenges faced by Central Bankers when setting monetary policy? (Answer accordingly to what the model develop in class would predict) O Price shocks are able to cause long-lasting changes in inflation that need to be addressed by monetary policy. O Computed potential GDP depends on the model used, thus being subject to debate. O If inflation this year is only influenced by demand conditions today, then it will have NO persistence. Investigate how the construction industry in Oman has helped in the growth of the Oman Economy and write a report of around 1000 to 1200 words to illustrate your investigation. You want to make a buffer of pH 8.2. The weak base that you want to use has a pKb of 6.3. Is the weak base and its conjugate acid a good choice for this buffer? Why or why not? 3. A weak acid, HA, has a pka of 6.3. Give an example of which Molarities of HA and NaA you could use to make a buffer of pH 7.0. The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of approximating rectangles.A = lim n [infinity] Rn = lim n [infinity] [f(x1)x + f(x2)x + . . . + f(xn)x]Use this definition to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.f(x) = f(x)= ln(x)/x, 5 x 12 What are conversion rights, information rights, liquidation preference, registration rights, participation, anti-dilution, pay-to-play, vesting?