Below is a list of all possible outcomes in the experiment of rolling two die. 1.2 1,3 14 15 1,6 21 22 23 24 25 2,6 34B2 33 3,4 3 5 3.6 41 4 2 43 4,4 4 5 4,6 5 52 33 5 4 5,5 56 6,1 6,2 6.3 6 4 6,5 6.6 Determine the following probabilities. Write your answers as reduced fractions_ P(sum is odd) P(sum is 5) P(sum is 7) = P(sum is 7 and at least one of the die is a 1) = 18 P(sum is 7 or at least one of the die is 1) = 36

Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

Price = Dividend / (Required rate of return - Dividend growth rate)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3

PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3

PV = 0.877 + 0.769 + 0.675

PV = 2.321

Next, let's calculate the price:

Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV

Price = (1 / (0.14 - 0.06)) + 2.321

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

Capital gains yield = (Dividend growth rate) / (Price)

Capital gins yield = 0.06 / 12.5

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

To determine the price of lohi corp., we need to calculate the present value of its future dividends. First, we estimate that the company will skip the next three annual dividends. This means that we will start receiving dividends from the fourth year. The first dividend to be paid is $1.00, and subsequent dividends will grow at a constant rate of 6 percent per year. The required rate of return on lohi corp. is 14 percent per year. This is the rate of return that investors expect to earn from investing in the company.

To calculate the price of Lohi Corp., we need to use the dividend discount model (DDM). The DDM formula is:

\(Price = Dividend / (Required rate of return - Dividend growth rate)\)

In this case, we know that Lohi Corp. will skip its next three annual dividends and then resume paying a dividend of $1.00. The dividend growth rate is 6% per year, and the required rate of return is 14% per year.

First, let's calculate the present value of the future dividends:

\(PV = (1 / (1 + Required rate of return))^1 + (1 / (1 + Required rate of return))^2 + (1 / (1 + Required rate of return))^3\)

\(PV = (1 / (1 + 0.14))^1 + (1 / (1 + 0.14))^2 + (1 / (1 + 0.14))^3\)

\(PV = 0.877 + 0.769 + 0.675\)

PV = 2.321

Next, let's calculate the price:

\(Price = (Dividend / (Required rate of return - Dividend growth rate)) + PV\)

\(Price = (1 / (0.14 - 0.06)) + 2.321\)

Price = (1 / 0.08) + 2.321

Price = 12.5

Therefore, the price of Lohi Corp. should be $12.50.

To calculate the expected capital gains yield over the next year, we need to use the formula:

\(Capital gains yield = (Dividend growth rate) / (Price)\)

\(Capital gins yied = 0.06 / 12.5\)

Capital gains yield = 0.0048

Convert to percentage:

Capital gains yield = 0.0048 * 100

Capital gains yield = 0.48%

Therefore, Lohi Corp.'s expected capital gains yield over the next year is 0.48%.

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Answer:

\(\frac{2x}{x^2-y^2}\)

Step-by-step explanation:

This is the answer.   Good luck :)

D(t)= 6sin (pi/5t) + 10

General form:

y = A sin (Bx +C) +D

Where:

A = amplitude

D= vertical shift

C = phase shift B= period

For the given function:

Amplitude = 6

Phase shift = 10

The bottom graphs are Cosine functions, so they are not.

Among the top ones, The first one has an amplitude of 6 and the second one has an amplitude of 3 .

Correct answer:

Yes conclude that there are two runners whose times are less than nine seconds apart.

Number of members = 7

Their mile times are all faster than 7 minutes but not faster than 6 minutes.

Determine,

Can you conclude that there are two runners whose times are less than nine seconds apart.

According to the question,

Let's assume that Tₙ is the time of the nth runner,

Then,

6min < Tn < 7min

And 1 min = 60 s

6 * 60 < Tn < 7 * 60s

360 s < Tn < 420 s

There are 7 runners, conclude that there are two runners whose times are less than nine seconds.

So, The smallest time allowed in seconds is 361 seconds (the first value larger than 360 seconds).

While the largest time allowed is 419 seconds (the largest time allowed smallest than 420 seconds).

Therefore,

Let's assume that the first runner has the smallest time:

T₁ = 361 s

Adding 9 seconds to the time of each runner to check that  all the runners with exactly 9 seconds apart in their times.

So, prove that the statement is false

Then:

T2 = 361s + 9s = 370s

T3 = 370s + 9s = 379s

T4 = 379s + 9s = 388s

T5 = 388s + 9s = 397s

T6 = 397s + 9s = 406s

T7 = 406s + 9s = 415s

T8 = 415s + 9s = 424s

Here, 424s > 420s

So, There is not allowed (as the maximum time allowed was 419 s), T least two of the runners must have times that are less than 9 seconds apart.

Therefore, Yes conclude that there are two runners whose times are less than nine seconds apart.

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Responde 56:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

67-11=56

The number of buses - the number of red buses = The number of buses that were not red.

Answer: Based on the information given in the problem, we know that the width of the outer region of the rug is 4 inches. It is not specified what the width of the inner square is, but we do know that its side length is x inches.

Therefore, it is incorrect to say that the width of the rug is 4 feet, as the problem specifies the width in inches. However, if we convert the width to feet, we can say that the width of the outer region is:

4 inches = 4/12 feet = 1/3 feet

So we can say that the width of the outer region is 1/3 feet. However, we should be careful not to confuse the units of measurement. We cannot say that the width is both 4 inches and 4 feet, as these are two different units of measurement.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer my friend is B.

Answer:

let x = the number of nickels

the number of pennies can be represented by (56 - x)

.05x + .01(56 - x) = 1.52

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

4x + 56 = 152

4x = 96

x = 24

There are 24 nickels and 56 - 24 = 32 pennies

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

Triangles are polygons because they have four sides or more. Its form is simple and geometric. An angle square with the letters ABC is known as a triangle. When the sides remain not collinear, Euclidean geometry generates a singular plane or square. Having three parts and three corners makes a triangle a polygon. The corners of a triangle are where the three sides meet. Angles in a triangle add up at 180 °.

Here,

Given:

So , the vertices are of unit length :

=> Area of triangle = 1/2 * b*h

=>  Area of triangle = 1/2 *  1 * 0.5

=>  Area of triangle = 0.25 unit square.

Therefore , the solution of the given problem of triangle comes out to be area of triangle = 0.25 unit square.

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Answer:

E

Step-by-step explanation:

3x is the 3 lines.

+5 is the 5 dots

= -4 is the 4 black dots

Answer:

Answer:

A rhombus is a parallelogram whose diagonals are perpendicular to each other.

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

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P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Brooke's credit card has an unpaid balance of $900. The minimum monthly payment is $50 plus 2% of the unpaid balance. Find her minimum monthly payment.

step 1

Find out 2% of the unpaid balance

remember that

2%=2/100=0.02

so

Multiply $900 by 0.02

900*0.02=$18

step 2

Find her minimum monthly payment.

Adds the unpaid balance plus $50

so

50+18=$68

Step-by-step explanation:

Given

f(x) = 2x - 10

f^-1(x) = ?

Now

Let y = f(x)

y = 2x - 10

Interchanging the roles of x and y we get,

x = 2y - 10

x + 10 = 2y

y =(x + 10) / 2

f^-1(x) = (x + 10)/ 2

Hope it will help :)❤

\(\huge\text{Hey there!}\)

\(\large\text{In order to convert a fraction, to a decimal you have to DIVIDE the}\\\large\text{numerator (TOP number) from the denominator (BOTTOM number)}\)

\(\large\text{Formula: }\rm{\dfrac{a}{b}\rightarrow a \div b \rightarrow decimal\ formula}\)

\(\large\text{Solving for your answer:}\)
\(\mathsf{\dfrac{7}{2}\rightarrow7\div2\rightarrow 3.5}\)

\(\large\text{Therefore, your answer should be:}\)

\(\large\boxed{\mathsf{3.5}}\large\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

To convert this fraction to a decimal, simply divide the numerator (7) by the denominator (2):

The simplified representation of the expression given as 2x² + 6x is 2x(x + 3)

From the question, the expression is given as

2xsquared +6x

Rewrite the expression properly

So, we have the following equation

2x² + 6x

Factor out x from the above expression

So, we have the following equation

2x² + 6x = x(2x + 6)

Factor out 2 from the above expression

So, we have the following equation

2x² + 6x = 2x(x + 3)

Hence, the simplified expression of 2x² + 6x is 2x(x + 3)

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The mental models can be expressed mathematically and can include both dependent and independent variables. By identifying these variables, one can create a more accurate and useful model that can be used to make predictions and explain phenomena.

One or more mental models that one has used can be expressed mathematically. A model can be defined as a representation of something that describes the various processes that are involved in it. In other words, a model is an abstraction of something real that can be used to make predictions or to explain phenomena. So, for example, if someone has a mental model of how a car engine works, they may have a simplified representation of the various parts and processes that are involved in making the engine run.

The variables in a mental model can be dependent and independent variables. The dependent variables are the variables that are being predicted, while the independent variables are the variables that are used to make the predictions. In other words, the dependent variable is what the model is trying to explain, while the independent variables are the inputs that the model uses to make those explanations.

For example, if someone has a mental model of how traffic flows on a busy highway, they may have a set of variables that they use to predict how traffic will behave. The dependent variable in this case would be traffic flow, while the independent variables might include the number of cars on the road, the speed of those cars, the distance between them, and the weather conditions.

Another example of a mental model that could be expressed mathematically might be a model of how people make decisions. In this case, the dependent variable might be the decision that a person makes, while the independent variables might include their emotions, their beliefs, and their past experiences.

In conclusion, mental models can be expressed mathematically and can include both dependent and independent variables. By identifying these variables, one can create a more accurate and useful model that can be used to make predictions and explain phenomena.

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I will win about $ 59.

This is a question of permutations and combinations.

We know that,

Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17

Probability of not getting two non face cards = 1 - (10/17) = 7/17

Hence, we can write,

Money I will get = (7/17)*50*20 =  $ 411.764

Money I'll have to pay = (10/17)*30*20 = $ 352.94

We know that,

Money left with me = Money I will get - Money I'll have to pay

Hence, we can write,

Money left with me =   $ 411.764 - $ 352.94

Money left with me =  58.824 ≈ $ 59

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Answer:

B........... length = 5

Answer:

this answer is length= 20 in

Answer:

x = mp - np

Step-by-step explanation:

m = n + x/p; multiply by p

mp = np + x; move terms

x = mp - np

Answer:

The point where f(x), g(x), and h(x) have the same value is (8, 11)

Step-by-step explanation:

The points where g(x) and h(x) have the same value is given as follows;

2x - 5 = 8/x + 10

2x² - 15x - 8 = 0

Using an online tool, we have;

(x - 8)(2x + 1) = 0

x = 8 or x = -1/2

∴ g(x) and h(x) = 11 or y = -6

For x = 8, we have;

f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11

For x = -1/2, we have;

f(x) = 2^(-1/2 - 5) + 3 = 3.022

Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.

Answer:

The break-even point is the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business.

Step-by-step explanation:

Answer:

Its Pretty Simple

Step-by-step explanation:

What Is a Break-Even Price?

A break-even price is the amount of money, or change in value, for which an asset must be sold to cover the costs of acquiring and owning it. It can also refer to the amount of money for which a product or service must be sold to cover the costs of manufacturing or providing it.

In options trading, the break-even price is the price in the underlying asset at which investors can choose to exercise or dispose of the contract without incurring a loss.

KEY TAKEAWAYS

A break-even price describes a change of value that corresponds to just covering one's initial investment or cost.

For an options contract, the break-even price is that level in an underlying security when it covers an option's premium.

In manufacturing, the break-even price is the price at which the cost to manufacture a product is equal to its sale price.

Break-even pricing is often used as a competitive strategy to gain market share, but a break-even price strategy can lead to the perception that a product is of low quality.

Break-Even Price Formula

The break-even price is mathematically the amount of monetary receipts that equal the amount of monetary contributions. With sales matching costs, the related transaction is said to be break-even, sustaining no losses and earning no profits in the process. To formulate the break-even price, a person simply uses the amount of the total cost of a business or financial activity as the target price to sell a product, service, or asset, or trade a financial instrument with the goal to break even.

For example, the break-even price for selling a product would be the sum of the unit's fixed cost and variable cost incurred to make the product. Thus if it costs $20 total to produce a good, if it sells for $20 exactly, it is the break-even price. Another way to compute the total breakeven for a firm is to take the gross profit margin divided by total fixed costs:

Business break-even = gross profit margin / fixed costs

​​For an options contract, such as a call or a put, the break-even price is that level in the underlying security that fully covers the option's premium (or cost). Also known as the break-even point (BEP), it can be represented by the following formulas for a call or put, respectively:

BEP call = strike price + premium paid

BEPpu = strike price - premium paid

Break-Even Price Strategy

Break-even price as a business strategy is most common in new commercial ventures, especially if a product or service is not highly differentiated from those of competitors. By offering a relatively low break-even price without any margin markup, a business may have a better chance to gather more market share, even though this is achieved at the expense of making no profits at the time.

Being a cost leader and selling at the break-even price requires a business to have the financial resources to sustain periods of zero earnings. However, after establishing market dominance, a business may begin to raise prices when weak competitors can no longer undermine its higher-pricing efforts.

The following formula can be used to estimate a firm's break-even point:

Fixed costs / (price - variable costs) = break-even point in units

The break-even point is equal to the total fixed costs divided by the difference between the unit price and variable costs.

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Reject the null hypothesis

How to find comparison distribution?

The comparison distribution is a t-distribution with four degrees of freedom (df = n-1 = 5-1 = 4). Our significance level is .05, and we will be conducting a two-tailed test.

Using a t-table with four degrees of freedom and a significance level of .05, the critical values for a two-tailed test are ±2.776.

t = (Mdiff - 0) / (SDdiff / sqrt(n))

Where Mdiff is the mean difference in speeds before and after the workshop, SDdiff is the standard deviation of the differences, and n is the number of pairs of scores.

Mdiff = 65 - 582 + 60 - 564 + 70 - 665 + 68 - 60 + 62 = -199

SDdiff = sqrt([(-65+582)^2 + (-60+564)^2 + (-70+665)^2 + (-68+60)^2 + (-62+65)^2] / (n-1)) = 29.17

n = 5

t = (-199 - 0) / (29.17 / sqrt(5)) = -4.02

The calculated t-statistic (-4.02) is less than the critical value (-2.776) at a significance level of .05, and it falls in the rejection region of the t-distribution. Therefore, we can reject the null hypothesis and conclude that the workshop has a significant effect on the speeds of the five convicted speeders.

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The equation is x = 20.85 / 1.75 where x is the number of miles and the number of miles is 11.91 miles.

Given,

Sydney took a taxi from her house to the airport.

The taxi company charged a pick-up fee of $1.75 per mile.

The total fare was $20.85, not including the tip.

We need to write and solve an equation that can be used to determine the number of miles in the taxi ride.

We have,

Taxi fare per mile = $1.75

Total fare = $20.85

Find the number of miles in a total fare of $20.85.

$1.75 = 1 mile

Multiplying by 20.85 on both sides.

20.85 x $1.75 = 20.85 x 1 mile

Dividing by 1.75 on both sides.

(20.85 x $1.75) / 1.75  = (20.85 x 1 mile) / 1.75

$20.85 = 11.91 mile

We see that  11.91 miles will cost $20.85.

Write an equation to show this situation.

x = 20.85 / 1.75

Where x is the number of miles.

we get,

x = 20.85 / 1.75 = 11.91

Thus the equation is x = 20.85 / 1.75 and the number of miles is 11.91 miles.

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Answer:

Median: 75

Mode: 50

Mean: ≈ 75.4

Range: 50

Step-by-step explanation:

Arrange the numbers in order:

50, 50, 70, 80, 88, 90, 100

There is no exact middle number.

\(70 + 80 = 150\\150/2 = 75\)

The median is about 75.

50, 50, 70, 80, 88, 90, 100

"50" appears the most.

The mode is 50.

Add all numbers in the set.

\(100+88+50+50+90+70+80 = 528\)

Divide by the number of values in the set.

\(528/7 = 75.4285714286\)

75.4285714286 ≈ 75.4

The mean is about 75.4.

Subtract the smallest number in the data set from the largest number in the data set.

\(100-50=50\)

The range is 50.

Brainilest appreciated.

Answer:

D:(6, 9)

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

The dimension of the length of the classroom in the drawing is calculated to be 7 ft

The scale of a map represents by how much a map is reduced or increased. Most of the times the map is smaller than what is being represented hence the scale is usually a reduction.

Give that

1 in in drawing represent 7 ft in actual length

If the actual length of your classroom is 49 feet then we solve as follows to get the dimension in the drawing:

1 in = 7 ft

? in = 49 ft

cross multiplying gives

7 * ? = 49 * 1

? = 49 / 7

? = 7 in

Hence, the conclusion is that the unknown dimension in the drawing represented as ? is equal to 7 in.

This implies that 7 in in the drawing represents actual distance of 49 ft and this is a reduction

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