Consider the following cash flows: year cash flow 0 −$28,500 1 15,200 2 13,700 3 10,100 a. what is the profitability index for the cash flows if the relevant discount rate is 10 percent?

Answer:

Step-by-step explanation:

The filling speed is 30 hours or:

The draining speed is 34 hours or:

If both lines are open simultaneously, the filling speed is:

If the tank is 1/5 full, then we need to fill the 4/5 of level and it will take:

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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Based on the options provided, the roots of the quadratic equation associated with the graph are -6 and 3, as they are the values where the graph intersects the x-axis. Thus, option A is correct.

In a quadratic equation in the form of \("ax^2 + bx + c = 0"\)  , the roots (or solutions) can be determined from the x-intercepts of the associated graph of the quadratic equation.

which represent the points where the graph intersects the x-axis. These points are also known as the "zeros" or "roots" of the quadratic equation.

In the case of the values -6 and 3 that you mentioned, they are the x-intercepts or zeros of the graph. This means that when you plug in -6 and 3 into the equation or function that corresponds to the graph, the result is zero.

Based on the options provided, the roots of the quadratic equation associated with the graph are -6 and 3, as they are the values where the graph intersects the x-axis.

Therefore, option a.  \(-6\) and  \(3 i\)s the correct answer.

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Answer:

False

Step-by-step explanation:

\(2x_1+6x_2\leq 30\\2(4)+6(5)\stackrel{?}{\leq}30\\8+30\stackrel{?}{\leq}30\\38\nleq30\)

Therefore, (4,5) is not a feasible point for the constraint

Answer:

with what????????????

Answer:

with what

Step-by-step explanation:

750ml is equal to 0.750 l.

To convert from milliliters (ml) to liters (l), we can use the liter scale. The liter scale shows that 1 liter is equal to 1000 milliliters. Therefore, to convert from milliliters to liters, we can divide the number of milliliters by 1000.

In this case, we have 750.0 ml. To convert this to liters, we can divide by 1000:

750.0 ml / 1000 = 0.750 l

Therefore, 750.0 ml is equal to 0.750 l, and the correct answer is a. 0.750 l.

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Answer:

x < -41/6 or x > -13/6.

Step-by-step explanation:

5/2+x>1/3

x > 1/3 - 5/2

x > 2/6 - 15/6

x > -13/6

x+2 < -29/6

x < -29/6 - 2

x < -41/6

The answer is     x < -41/6 or x > -13/6.

Answer:

x > -13/6 or x < -41/6

Step-by-step explanation:

5/2+x>1/3 or x+2 < -29/6

x > 1/3 - 5/2 or x < -29/6 - 2

x > 2/6 - 15/6 or x < -29/6 - 12/6

x > -13/6 or x < -41/6

We found that the variation constant, k, is equal to 2. Using the inverse variation formula, we derived the equation of variation as y = 2/x.

When a quantity varies inversely with another quantity, it means that as one value increases, the other value decreases, and their product remains constant. To find the variation constant and equation of variation for the given situation where y varies inversely as x, and y = 14 when x = 1/7, we can use the formula for inverse variation:

y = k/x

where k is the variation constant.

Given that y = 14 when x = 1/7, we can substitute these values into the equation:

14 = k/(1/7)

To solve for k, we can multiply both sides of the equation by (1/7):

14 * (1/7) = k

2 = k

Therefore, the variation constant, k, is 2.

Now we can write the equation of variation:

y = 2/x

This equation represents the inverse variation relationship between y and x, where the product of y and x is always equal to 2. As x increases, y decreases, and vice versa, maintaining the constant value of 2.

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Answer:

3rd one im pretty sure

Step-by-step explanation:

Answer: however much a foot of craft material is multiply it by 102

Step-by-step explanation:

Answer:

5(3m+n)(3m - n)

Step-by-step explanation:

 First take the common factor '5' from both the terms.

    45m² - 5n² = 9*5*m² - 5n²

                        = 5*(9m² - n²)

                        = 5*( [3m]² - n²)

\(\sf \boxed{\bf use \ the \ identity: \ a^2 - b^2 = (a+b)(a-b)}\)

Here, a = 3m and b = n

                          = 5* [ (3m + n)(3m - n)]

                          = 5 *(3m + n)*(3m - n)

Answer:

143

Step-by-step explanation:

The shape on the right is scaled up by 13. 91/7 = 13 and 52/4 = 13

So we multiply 11*13 to get 143.

I hope this helped <3

When x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

In the given question, we have to find what is remainder when x^3+2x^2+x+1 is divided by (x+1).

To find the remainder there are two ways. First we divide the x^3+2x^2+x+1 by (x+1). Second we find the value of from (x+1) by equating (x+1) equal to zero. The put the value of x in the expression x^3+2x^2+x+1.

In this we ca easily find the remainder.

Now we firstly find the value of x;

(x+1) = 0

Subtract 1 on both side we get;

x= −1

Now put x= -1 in the expression x^3+2x^2+x+1.

x^3+2x^2+x+1 = (−1)^3+2(−1)^2+(−1)+1

x^3+2x^2+x+1 = −1+2−1+1

x^3+2x^2+x+1 = 1

Hence, when x^3+2x^2+x+1 is divided by (x+1) then remainder is 1.

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The right question is:

What is remainder when x^3+2x^2+x+1 is divided by (x+1)?

a. This sample can be classified as a convenience sample because it was taken from a specific group of students enrolled in a psychology class at a particular college.

b. Reason: The researchers did not use any randomization technique to choose the students; rather, they selected those who were readily available to them.

The estimate of the proportion of students who reported using illegal stimulants based on data from this survey in a psychology should not be generalized to all U.S. college students because of the following reasons: the sample was taken from a small, competitive college, which may not represent all U.S. colleges.

Students at other colleges may have different characteristics and behaviors that could affect their use of illegal stimulants. The study used self-report measures, which may not be entirely accurate. Students may not have been truthful about their use of illegal stimulants, intentionally or unintentionally, which could have led to an underestimation of the proportion of students who use these substances.

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Step-by-step explanation:

f(x) = x² - 3x + 2 = (x - 2)(x - 1).

When f(x) = 0, (x - 2)(x - 1) = 0.

=> x = 2 or x = 1.

Let x be the full price of each Mighty Mare toy pony.

During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:

x - $3

Since she bought 4 of these toys, her total cost during the sale was:

4(x - $3)

We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:

4(x - $3) = $52

Simplifying this equation, we get:

4x - $12 = $52

Adding $12 to both sides, we get:

4x = $64

Dividing both sides by 4, we get:

x = $16

Therefore, each Mighty Mare toy pony costs $16 at full price.

Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.

To find the equation that represents this situation, we can set up the equation based on the given information:

4 * (x - 3) = 52

In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.

By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.

The length of t, to the nearest 10th of a centimeter is 2.8 cm.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given that, for a triangle RST,

s = 8.1 cm, m ∠S = 41° and m ∠T = 13°.

We have to find the length of t.

We know that the sine rule of a triangle states that,

a / Sin A = b / Sin B = c / Sin C

where a, b and c are opposite sides to the angles A, B and C respectively.

Using the sine rule here,

s / sin S = t / sin T

8.1 / sin 41° = t / sin 13°

t = (8.1 × sin 13°) / sin 41°

t = (8.1 × 0.225) / 0.656

t = 2.777 cm ≈ 2.8 cm

Hence the length of t is 2.8 cm to the nearest 10th of a centimeter.

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Answer:

X+3,X+5,X+7

X+X+X

=X

=3+5+7

=15

X=15

The range value of the variable 'x' will be less than or equal to 62.​

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The three consecutive odd numbers are x + 3, x + 5, and x + 7. The sum of these numbers cannot be greater than 201. Then the inequality is given as,

x + 3 + x + 5 + x + 7 ≤ 201

Simplify the inequality, then we have

x + 3 + x + 5 + x + 7 ≤ 201

3x + 15 ≤ 201

3x ≤ 186

x ≤ 62

The range value of the variable 'x' will be less than or equal to 62.​

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Profit made by each girl Sarah, Lilly and Paula respectivly are R 200 , R 400 and R 600

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. Indicators of proportions include "::" and "=".

The amount of investment done by each girl Sarah, Lily and Paula respectivly is x, 2x and 3x

So, the profit will be

x + 2x + 3x = 1200

⇒6x  =1200

⇒ x = 200

Profit made by each girl respectivly are x = R 200 , 2x = R 400 and 3x = R 600.

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The margin of error of a confidence interval increases as:
c) the population standard deviation increases.



The margin of error (MOE) is influenced by three factors: the confidence level, the population standard deviation, and the sample size.

1. Confidence level: As the confidence level increases, the margin of error also increases because a higher confidence level requires a wider interval to ensure that the true population parameter is captured.
2. Standard deviation: As the population standard deviation increases, the margin of error also increases. A higher standard deviation indicates more variability in the population, leading to a wider confidence interval to account for this variability.
3. Sample size: As the sample size increases, the margin of error actually decreases because a larger sample provides more accurate estimates of the population parameter.

Therefore, among the given options, the margin of error of a confidence interval increases as the population standard deviation increases (option c).

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The required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

According to the question we have been given that

     Rental fee = $39.99

 Additional charge = $0.19

Let the y represent the cost of renting a moving van  

and m represent the number miles driven by the van.

The expression can be formed as

            y = (fixed charge) + m*(additional charge)

            y = $39.99 + $0.19 m

hence the required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

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State how many peaks you would expect for the distribution described.

Weights of the first graders at a school

The number of peaks expected for the distribution described, that is, weights of the first graders at a school, is d. one.

A histogram or a bar graph is used to show the distribution of the weight of the first graders at a school. The histogram has only one peak because there is only one range of weights for first graders.

The distribution's peak is at the weight range where there are the most students, indicating that most first graders fall within that weight range.

The number of peaks in a distribution depends on the data. A bimodal distribution has two peaks, a uniform distribution has none, and a trimodal distribution has three.

ThereforeThe weight distribution of first graders is  1, however, characterized by a single mode, as we just discovered.

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Answer:

\(-\frac{1}{2}\)

Step-by-step explanation:

Answer:

means it is your as u know u are a ashile

Answer:

The answer is A. 10b = c

Step-by-step explanation:

Well if it's $10 per book and the total cost is C. Then you would multiply the amount of books with the cost per book and have it equal the the total C.

It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.

Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.

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Answer:

yes you are correct

Step-by-step explanation:

not sure what you mean but yea

Using linear approximation, f(2.9) ≈ f(3) + f'(3)(2.9 - 3) = 5 + 6(-0.1) = 4.4.

To estimate f(2.9) using linear approximation, we can use the formula: f(x) ≈ f(a) + f'(a)(x - a), where a is a point close to 2.9.

Given that f(3) = 5 and f'(3) = 6, we can substitute these values into the formula. Thus, f(2.9) ≈ 5 + 6(2.9 - 3) = 5 - 6(0.1) = 5 - 0.6 = 4.4.

The estimated value of f(2.9) using linear approximation is 4.4.

Linear approximation provides a linear approximation of a function near a given point using the function's value and derivative at that point.

In this case, we approximate f(2.9) by considering the tangent line to the graph of f at x = 3 and evaluating it at x = 2.9.

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