313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side. What percent of people surveyed are from each neighborhood?

Answer: 4:18

Work:

2:9

2 inch:9 feet

2 · 9 = 18

2 · 2 = 4

4 inch:18 feet

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer: so there for the answer is 498

Step-by-step explanation:

The weighted average of the numbers 1 and 6 is 2

A weighted average is the average of a set of numbers, each with different associated “weights” or values. To find a weighted average, multiply each number by its weight, then add the results.

Given that, the weighted average of 1 and 6 in this instance, means the sum of the two numbers multiplied by their weights which are four-fifths and one-fourth respectively.

Weighted average = (first number x weight of first number)+(second number x weight of second number)

first number = 1

weight of first number = four fifths = 4/5

second number = 6

weight of second number = one fifth = 1/5

Therefore,

The weighted average = (1 x 4/5) + (6 x 1/5)

= 2

Hence, the weighted average of the numbers 1 and 6 is 2

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Answer:

(3,7) is not a solution

Step-by-step explanation:

You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.

-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23

no need to look further, but if you would, the second equation is also false:

3 + 4·7 = -19 is also not true.

The real solution by the way is (-3, -4).

The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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From the given information , the function g(x) is a polynomial function of degree 2.

The given function g(x) is represented as x^2 - 4. It is a polynomial function because it is a combination of powers of x, and the highest power of x in this function is 2. The function does not contain any radical, rational, exponential, or trigonometric terms.

To find the x-intercepts (roots) of the function, we set g(x) equal to zero and solve for x:

x^2 - 4 = 0

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

From this equation, we can see that the function has two x-intercepts: x = -2 and x = 2.

To find the y-intercept, we set x = 0 in the function:

g(0) = (0)^2 - 4 = -4

So, the y-intercept is -4.

The domain of the function is all real numbers because there are no restrictions or limitations on the possible values of x.

The range of the function is all real numbers greater than or equal to -4. This is because the function is a parabola that opens upwards, and its vertex is the point (0, -4).

Restrictions and Observations:

There are no restrictions or observations for this function.

In conclusion, g(x) = x^2 - 4 is a polynomial function of degree 2. It has x-intercepts at -2 and 2, a y-intercept at -4, a domain of all real numbers, and a range of all real numbers greater than or equal to -4. The function represents a parabolic shape that opens upwards.

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Answer:

20

Step-by-step explanation:

(-4) × (-5) = 20

Hope this helps

Answer: 20

Step-by-step explanation:

1. x / (-5) = (-4) - plug in x for what you're trying to find & solve

2. (-5) * \(\frac{x}{(-5)}\) = (-4) * (-5) - multiple both sides by (-5) & the (-5) will cancel out on the left side of the equation because -5/-5 = 1

3. x = (-4) * (-5)

4. x = 20

5. 20 / (-5) = (-4)

the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, A plane flying with a constant speed of 25 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 30 degrees.

We can use the law of cosines to find d:

d² = 12² + (h + 12)² - 2(12)(h + 12)cos(θ)

Since the plane is climbing at an angle of 30 degrees, we can use trigonometry to find h:

sin(30) = h / (25 km/min * 2 min)

h = 25 km/min

Now we can substitute this value of h into the equation for d and simplify:

d² = 12² + (25 + 12)² - 2(12)(25 + 12)cos(θ)

d² = 12² + 37² - 2(12)(37)cos(θ)

d² = 144 + 1369 - 888cos(θ)

d² = 1513 - 888cos(θ)

To find the rate at which d is changing, we can take the derivative of both sides of this equation with respect to time:

2dd/dt = -888(d(cos(θ))/dt)

Since the plane is flying with a constant speed of 25 km/min, we can use trigonometry to find d(cos(θ))/dt:

cos(θ) = 12/d

d(cos(θ))/dt = -(12/d²)(dd/dt)

d(cos(θ))/dt = -(12/d²)(25 km/min)

Now we can substitute these values into the equation for the rate of change of d:

2dd/dt = -888(-(12/d²)(25 km/min))

2dd/dt = (888*12)/(d²)(25 km/min)

dd/dt = (5328)/(d²) km/min

Finally, we can substitute the value we found for d into this equation to get the rate at which d is changing 2 minutes later:

d = sqrt(1513 - 888cos(θ))

θ = 30 degrees

dd/dt = (5328)/(d²) km/min

dd/dt = (5328)/(1513 - 888cos(30)) km/min

dd/dt ≈ 30.84 km/min

Therefore, the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.

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Answer:

47.6

Step-by-step explanation:

40+19%=47.6

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

525.00

Step-by-step explanation:

The cost of 25 kg of apples is $437.5.

"A cost is an expenditure required to produce or sell a product or get an asset ready for normal use. In other words, it’s the amount paid to manufacture a product, purchase inventory, sell merchandise, or get equipment ready to use in a business process.

There are many different costs, including fixed and variable, but they are all accounted for in the same way. Costs are recorded as expenses on the income statement during and accounting period and cleared out in a closing entry at the end of the period."

The cost of 15 kg is $262.50.

So, the cost of 1 apple is 262.50/15

= 17.5

Cost of 25 kg = \(17.5 * 25 = 437.5\)

Hence, the cost of 25 kg of apples = 437.5

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A significant difference between the theoretical and experimental probabilities in this case may be due to the relatively small sample size of 25 spins.

According to the law of large numbers, as the sample size (the number of times the experiment is repeated) increases, the experimental probability of an event approaches its theoretical probability.

The law of large numbers can be expressed mathematically using the following formula:

P(E) ≈ n(E)/n

where P(E) is the experimental probability of event E, n(E) is the number of times event E occurs in the experiment, and n is the total number of trials (or spins, in this case).

As n (the sample size) increases, the experimental probability P(E) approaches the theoretical probability of the event, which we can represent as P'(E). Mathematically, we can write:

lim P(E) = P'(E)

n→∞

In other words, as the sample size approaches infinity, the experimental probability approaches the theoretical probability.

Therefore, if Jess had spun the pointer many more times, the experimental probability of the pointer landing on 3 would have approached the theoretical probability of 25%. On the other hand, the relatively small sample size of only 25 spins may have introduced some chance variation that caused the experimental probability of 16% to differ significantly from the theoretical probability.

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There are 45,697,600 different number of plates that can be issued using this configuration.

To determine the number of different license plates that can be issued using the given configuration, we need to consider the number of options for each component of the license plate.

1. Letters (first two letters): Each letter can be any uppercase letter of the alphabet.

There are 26 letters in the English alphabet, so there are 26 options for each letter.

Since we have two letters, the total number of options for the first two letters is 26 * 26 = 676.

2. Digits (two digits): Each digit can be any number from 0 to 9, so there are 10 options for each digit.

Since we have two digits, the total number of options for the digits is 10 * 10 = 100.

3. Letters (last two letters): Similar to the first two letters, there are 26 options for each letter.

Therefore, the total number of options for the last two letters is also 26 * 26 = 676.

To find the total number of possible license plates, we multiply the number of options for each component:

Total number of license plates = (Number of options for letters) * (Number of options for digits) * (Number of options for letters)

Total number of license plates = 676 * 100 * 676

Total number of license plates = 45,697,600

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2u+14

hope it helps...!!!

The minimised form of the Boolean expression ABC+A'BC'+ABC'+AB'C is Option C. A'C+BC'.

To find the minimized form of the Boolean expression, we can use Boolean algebra and the laws of Boolean logic to simplify the expression.

Apply the Distributive Law: ABC + A'BC' + ABC' + AB'C = AB(C + C') + A'(BC' + BC)

Apply the Complement Law: C + C' = 1 and BC' + BC = B(C + C') = B

Simplify further: AB(C + C') + A'(BC' + BC) = AB + A'B = AB + AB' = A(B + B') = A(1) = A

Apply the Complement Law again: A + A' = 1

The final minimized form is: 1 - A = A'C + BC'

Therefore, the correct minimized form of the given Boolean expression is A'C + BC'.

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Answer:

Monkey says NO

Step-by-step explanation:

Monkey says A^2 + B^2 = C^2. Monkey do math, gets C = 8.5. So close, monkey sad. Not right triangle.

Answer:

\(\sqrt{3} =1.7\\\sqrt{3/48} =0.04\\\sqrt{48} =6.9\\\frac{\sqrt{3} }{\sqrt{48} } =0.25\)

Step-by-step explanation:

I wasn't sure which one you were referring to

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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Answer:

500

Step-by-step explanation:

Answer:

500

put the 8,000 into the 40,000 mark. you will get a five and if you tried to put it in the last two, you would get 0. 8000*5=40000 so subtract 40,000 and you should get a 0 there. keep putting the zeroes until you get to the end.

Step-by-step explanation:

as simple as it sounds, we need to do a few steps to actually get the result.

first the outer angle 142° and the corresponding inner angle in the triangle are a linear pair of angles, and together they have 180°.

so, the inner angle is 180 - 142 = 38°.

then, remember, the sum of all angles in a triangle is always 180°.

so, the third inner angle is 180 - 38 - 68 = 74°

now, this third inner angle is with z (the corresponding outer angle) again a linear pair (sum 180°).

so,

z = 180 - 74 = 106°

The average rate of inflation over the period from 1980 to 2000 can be calculated by determining the percentage increase in the cost of the market basket of goods. The correct answer is 60%, which represents the percentage increase from $250 to $400.

To calculate the average rate of inflation, we need to determine the percentage increase in the cost of the market basket of goods over the given period.

In 1980, the basket cost $250, and in 2000, it cost $400. To find the percentage increase, we calculate the difference between the final and initial values and divide it by the initial value, then multiply by 100.

Percentage increase = [(Final value - Initial value) / Initial value] * 100

= [(400 - 250) / 250] * 100

= (150 / 250) * 100

= 0.6 * 100

= 60%

Therefore, the average rate of inflation over this period is 60%, indicating that the cost of the market basket of goods increased by 60% from 1980 to 2000.

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The two column proof of the given angles are as detailed below with all statements and reasons.

From the given diagram, we are shown that;

Statement 1; a II b

Reason 1; Given

Statement 2; ∠1 ≅ ∠2

Reason2 ; Given

Now, from the transversal line theorem, we know that If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. Similarly, If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Thus;

Statement 3; ∠1 = ∠4

Reason 3; Transversal Line theorem

Statement 4; ∠2 = ∠3

Reason 4; Alternate angles

Statement 5; ∠3 ≅ ∠4

Reason 5; Substitution Property

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Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

his present age is 6??

Step-by-step explanation:

correct me if im wrong^^

Answer:

The circle's center is at (5, -2)

The radius is 4

Equation is

(x -5)^2 + (y - - 2)^2 = 4^2

(x -5)^2  + (y +2)^2 = 16

http://www.1728.org/circle.htm

Step-by-step explanation:

The matrix A is diagonalizable, and the matrix P = [1 -3; 0 1] diagonalizes matrix A, You can follow the same steps to find the matrix P and compute \(P^(^-^1^)AP\) for exercises 6, 7, and 8 using the given matrices A.

To find a matrix P that diagonalizes matrix A and check the work by computing \(P^(^-^1^)AP\), we need to follow the steps mentioned earlier. Here are the solutions for exercises 5-8: 5. A = [1 6; 0 -1]

To diagonalize matrix A, we need to find the eigenvalues and eigenvectors.

The characteristic equation is |A - λI| = 0, where I is the identity matrix.

|1-λ  6 |

| 0  -1-λ| = (1-λ)(-1-λ) = 0

Solving the equation, we find two eigenvalues:

λ₁ = 1

λ₂ = -1

For each eigenvalue, we solve the equation (A - λI)v = 0 to find the corresponding eigenvectors.

For λ₁ = 1:

(A - λ₁I)v₁ = 0

|0  6 | v₁ = 0

|0 -2 |

Solving the equation, we find the eigenvector v₁ = [1 0].

For λ₂ = -1:

(A - λ₂I)v₂ = 0

|2  6 | v₂ = 0

|0  0 |

Solving the equation, we find the eigenvector v₂ = [-3 1].

Matrix P is constructed by arranging the eigenvectors v₁ and v₂ as columns.

P = [v₁ v₂] = [1 -3; 0 1]

To compute the inverse of matrix P, we can use the inverse formula for a 2x2 matrix: \(P^(^-^1^)\) = (1/(ad - bc)) * [d -b; -c a], where P = [a b; c d]

In this case, \(P^(^-^1^)\) = [1/3 1/3; 0 1]

Now, we can compute P^(-1)AP to check if it is a diagonal matrix.

\(P^(^-^1^)AP = [1/3 1/3; 0 1] * [1 6; 0 -1] * [1 -3; 0 1]\) = [1 0; 0 -1] = Diagonal matrix

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Answer:

11 6/8 miles

simplify: 11 3/4 miles on Friday

Step-by-step explanation:

Central Idea of the Poem; In the poem ‘Animals’, the poet Walt Whitman praises animals for being better than human beings and for possessing all such qualities that humans lack or have forgotten.

The poem Animals' central theme is that humans might get wisdom and virtues from the animals they formerly owned but have since lost.

The poet claims that animals possess many admirable traits like self-control, impartiality, and tranquility.

The comparison of people to animals in order to emphasize the shortcomings in human nature is the poem's main focus rather than praising how wonderful animals are.

The poet thinks that possibly people once possessed all of the virtues listed above, but that they have since lost them.

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