plzz help it's due today​

Answer:

C. 108.5 square feet

Step-by-step explanation:

Area of the deck

According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.

Let the money returned = R

economics classes = E

other classes = O

a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)

b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)

c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).

d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.

e).  According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

The complete question is:

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.

From

the business, psychology, and history classes 31% were returned.

Let: R = money returned; E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

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To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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Answer:

x=60 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180 so if all angles in the triangle are equal, you just do 180 divided by 3 to get 60.

The given equation is: 1 × 3 + 3 × 5 + ... + (2n - 1)(2n + 1) = 2n + 1 / n

To prove that the given equation is correct, we need to verify if it satisfies the Basis Step, Induction Hypothesis and Induction

Step.1. Basis Step:

When n = 1, the left-hand side of the equation is 1 × 3 = 3. Putting n = 1 in the right-hand side of the equation we get:(2 x 1) + 1 / 1 = 3

Hence the Basis Step is verified.

2. Induction Hypothesis:

We assume that the equation holds true for some n = k. That is,1 × 3 + 3 × 5 + ... + (2k - 1)(2k + 1) = 2k + 1 / k3.

Induction Step: We need to prove that the equation holds true for n = k + 1. That is,1 × 3 + 3 × 5 + ... + (2k + 1)(2k + 3) = 2k + 3 / (k + 1)

Now adding (2k + 1)(2k + 3) on both sides of the equation in the Induction Hypothesis, we get:1 × 3 + 3 × 5 + ... + (2k - 1)(2k + 1) + (2k + 1)(2k + 3) = 2k + 1 / k + (2k + 1)(2k + 3) = 2k + 1 + (2k + 1)(2k + 3) / (k + 1)

Factorizing, we get:2k + 1 + (2k + 1)(2k + 3) / (k + 1) = (2k + 3)(k + 1) / (k + 1) = 2k + 3

Thus the Induction Step is verified. Hence proved that the equation1 × 3 + 3 × 5 + ... + (2n - 1)(2n + 1) = 2n + 1 / n is true. Therefore, this is a valid formula for the given equation.

The given formula satisfies the Basis Step, Induction Hypothesis, and Induction Step.

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The difference between the following term is 7 and explicit rule is

\(a_{n}=-17+7n\)

Explicit rule is a rule that you can solve without needing the previous term.

The nth term in the series is where the explicit formula can be expressed. The explicit formula of the sequence for the arithmetic progression a, a + d, a + 2d, a + 3d,...a + (n - 1)d is formed by the nth term. An = a + (n - 1)d is the explicit formula for this arithmetic series. The explicit formula can also be calculated for the harmonic and geometric sequences.

Here, \(a_{n}=-17+7n\)

put n = 1

\(a_{n}\)= =-17+7(1)

= -17+7

=-11 which is the first term

similarly for n = 4

-17+7(4)

= -17+ 28 =11 which is the fourth term.

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The 34 m of wire that is needed to support the two wires is the overall length.

Given, a tower that is 35 m tall and is to have to support two wires. Both the wires will be attached to the top of the tower and it will be attached to the ground 12 m from the base of each wire. Wires in the show 5 m to complete each attachment. We need to find how much wire is needed to make support the two wires.

Distance of ground from the tower = 12 lengths of wire used for attachment of wire = 5 mWire required to attach the wire to the top of the tower and to ground = 5 + 12 = 17 m

Wire required for both the wires = 2 × 17 = 34 m length of the tower = 35 therefore, the total length of wire required to make the support of the two wires is 34 m.

What we are given?

We are given the height of the tower and are asked to find the total length of wire required to make support the two wires.

What is the formula?

Wire required to attach the wire to the top of the tower and to ground = 5 + 12 = 17 mWire required for both the wires = 2 × 17 = 34 m

What is the solution?

The total length of wire required to make support the two wires is 34 m.

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y = sin(t) is indeed a solution to the differential equation (dy/dt)² = 1 - y².

We'll need to perform the following steps:

Step 1: Find the derivative of y with respect to t.
Step 2: Square the derivative and substitute it into the equation.
Step 3: Check if the equation holds true with the given function.

Step 1:
To find the derivative of y = sin(t) with respect to t, we use the basic differentiation rule for sine:
(dy/dt) = cos(t).

Step 2:
Next, we square the derivative:
(dy/dt)² = cos²(t).

Step 3:
Now we substitute this expression and y = sin(t) into the given equation:
(cos²(t)) = 1 - (sin²(t)).

Using the trigonometric identity sin²(t) + cos²(t) = 1, we can see that the equation holds true:
cos²(t) = 1 - sin²(t).

Thus, y = sin(t) is indeed a solution to the differential equation (dy/dt)² = 1 - y².

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Answer:

The 66th term is 363.

Step-by-step explanation:

Here,

a = -92 b = -85

d = b - a = -85 -(-92) = 7

n = 66

t66 = ?

We know,

tn = a+(n - 1)d

t66 = -92+(66 - 1)7

= 363

Although the examples referenced are note given, the subject or principle of Quadratic Equations and the Quadratic formula are universal principles and hold true regardless of what examples are used.

Thus, two tings that one can learn about solving quadratic equations by using the Quadratic formula are:

In mathematics, almost every student encounters the quadratic formula, which is a popular method for determining the roots of a quadratic problem. In practice, the quadratic formula may be used to calculate the size of a place, the speed of a moving item, the value of profit earned on a product, and other things.

We've shown that a quadratic equation is a degree 2 equation. A quadratic has the standard form y = ax² + bx + c, where a, b, and c are integers and a cannot be zero. All quadratic equations graph into some form of curve. All quadratics have two solutions, although not all of them are real.

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Answer:

C.) Square root of 34

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 5^2 = c^2

9 + 25 = c^2

c^2 = 25 + 9

c^2 = 34

√c^2 = √34

As a result, the two boxes have a combined height of 11/12 of a foot.

By multiplying the numerator and denominator by 4,

2/3 becomes 8/12.

By increasing both the numerator and denominator by 3,

1/4 becomes 3/12.

We can now combine the two fractions:

8/12 + 3/12 = 11/12

The two boxes' aggregate height is thus 11/12 of a foot.

The top number in a fraction is referred to as the numerator, while the bottom number is referred to as the denominator.

The denominator, or the number of pieces in the whole, is represented by a numerator.

In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are divided into a whole. It is a fraction's divisor.

It always falls below the numerator. Not always does the numerator equal the denominator. For instance, the fraction 45/32 has a numerator of 45, which is greater than the denominator. They are referred to as improper fractions because they are always greater than 1.

No matter what the denominator is, if the numerator is 0, the entire fraction is zero.

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Answer:

Let c = number of children

a = number of adults

$15.50c + $20a = $3,782

c + a = 217

$15.50c + $20(217 - c) = $3,782

$15.50c + $4,340 - $20c = $3,782

$4,340 - $4.50c = $3,782

$4.50c = $558

c = 124, a = 93

{(c, a)} = {(124, 93)}

Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest

Step-by-step explanation:

The -factorization of a matrix of rank provides a way to solve the least squares problem. By decomposing the matrix into the product of two matrices, the least squares solution can be obtained by solving a system of equations.

The -factorization, also known as the singular value decomposition (SVD), decomposes a matrix into the product of three matrices:

A = UΣV^T, where U and V are orthogonal matrices, and Σ is a diagonal matrix with singular values.

For a matrix of rank , the diagonal matrix Σ will have non-zero singular values only in the first columns.

To solve the least squares problem, we consider the linear system

A*x = b, where A is the matrix, x is the unknown vector, and b is the target vector. Using the -factorization, we can rewrite the system as

UΣV^T*x = b.

Since U and V are orthogonal matrices, they preserve vector norms. Multiplying both sides of the equation by U^T, we have ΣV^T*x = U^T*b.

Now, we can solve for x by performing the following steps:

1. Multiply U^T*b to obtain a new vector, say c.

2. Compute the inverse of Σ by taking the reciprocal of its non-zero singular values.

3. Multiply the resulting diagonal matrix with the vector c to get a new vector, say d.

4. Finally, multiply V with the vector d to obtain the least squares solution x.

By utilizing the -factorization, we have effectively transformed the least squares problem into a system of equations that can be solved using straightforward matrix operations.

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Answer:

Step-by-step explanation:

the answer  " I need  because"  isn't even correct.. :P  

it should be  "  I need    one more side of each triangle ,  because then I can use the side angle side rule to say the triangles are the same. "

Answer:

1. D

2. B

3. C

4. A

Step-by-step explanation:

just know when the sentence says "each" or "per" next to a number, there need to be an x next to it.

In other words, I kinda just winged it :P

We are given the following information

Carlos works a total of 86 hours in four weeks.

He works 18.5 hours each week for three weeks.

To determine how many hours Carlos work in the fourth week, we can set up the equation

We can make x the subject of the formula

Simplifying further

Therefore in the fourth week, Carlos will work 30.5 hours

Answer:

a) 0.073044

b) 0.75033

c) The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Step-by-step explanation:

The overhead reach distances of adult females are normally distributed with a mean of 205.5 and a standard deviation of 8.6 .

a. Find the probability that an individual distance is greater than 218.00 cm.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 218

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

For x > 218

z = 218 - 205.5/8.6

z = 1.45349

Probability value from Z-Table:

P(x<218) = 0.92696

P(x>218) = 1 - P(x<218) = 0.073044

b. Find the probability that the mean for 15 randomly selected distances is greater than 204.00

When = random number of samples is given, we solve using this z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 204

μ is the population mean = 205.5

σ is the population standard deviation = 8.6

n = 15

For x > 204

Hence

z = 204 - 205.5/8.6/√15

z = -0.67552

Probability value from Z-Table:

P(x<204) = 0.24967

P(x>204) = 1 - P(x<204) = 0.75033

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The normal distribution can be used in part (b), even though the sample size does not exceed 30 because initial population size is been distributed normally , therefore, the mean of the samples will be normally distributed regardless of their size(meaning whether the sample size is less than or equal to or exceeds 30, the sample means the mean of the samples will be normally distributed regardless of their size).

Answer:

62.5%

Step-by-step explanation:

To find the percent, divide 5 by 8, and multiply it by 100:

5/8

= 0.625

0.625(100)

= 62.5

So, Mike walked 62.5% of the trip

Answer:

62.5%

Step-by-step explanation:

5/8 As A Decimal Is 0.625

So  Inequalify 5/8.   So, 62.5/100

then convert 0.625 by 5/8, Which is 62.5.

So your answer is 62.5%.

Answer:

10164

Step-by-step explanation:

    14

 350

2800

7000

add them up

Answer:

1. 14

2. 350

3. 2800

4. 7000

Answer: 10,164

Step-by-step explanation:

- [(2x - cos x) / (2y - cos y)] of the following expressions represents sin x + sin y = x² + y², using the concept of differentiation.

One method is to determine a function's derivative by differentiation. Finding the instantaneous rate of change of a function depending on one of its variables is a technique known as differentiation in mathematics.

Differentiation refers to the process of calculating a function's derivative. The derivative, when applied to two variables x and y, is the rate at which x changes in relation to y. To calculate the immediate rate of change of quantities, differentiation is used.

sin x + sin y = x² + y²

Differentiating w.r.t x

d/dx (sin x + sin y) = d/dx (x² + y²)

or, cos x + cos y dy/dx = 2x + 2y dy/dx

or, cos y dy/dx - 2y dy/dx = 2x - cos x

or, dy/dx (cos y - 2y) = 2x - cos x

or, dy/dx = (2x - cos x) / (cos y - 2y)

or, dy/dx = - [(2x - cos x) / (2y - cos y)]

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Answer: C

Step-by-step explanation: The answer is C because x is equivalent to 10 in both problems. X is equal to 10 in the problem 2x + 7 =27 because 2 x 10 = 20 + 7 = 27. X is also equal to 10 in the problem 5x - 15 = 35 because 5 x 10 = 50 - 15 = 35. This means the answer is C.

If Carla Corporation issued 1,900 shares of $10 par value common stock in exchange for the conversion of 950 shares of $50 convertible preferred stock, we can calculate the impact on the financial statements as follows:

Calculation of the Total Par Value of the Common Stock Issued:

The total par value of the common stock issued is equal to the number of shares issued multiplied by the par value per share. In this case, 1,900 shares were issued with a par value of $10 per share, so the total par value of the common stock issued is:

Total Par Value = 1,900 shares x $10/share = $19,000

Calculation of the Conversion Ratio:

The conversion ratio is the number of shares of common stock that can be obtained from one share of preferred stock. In this case, 950 shares of $50 convertible preferred stock were converted into 1,900 shares of common stock, so the conversion ratio is:

Conversion Ratio = 1,900 shares / 950 shares = 2:1

This means that for every share of preferred stock, the holder can receive two shares of common stock.

Calculation of the Value of the Preferred Stock Converted:

To determine the value of the preferred stock that was converted, we need to multiply the number of shares converted by the conversion price. The conversion price is the price at which the preferred stock can be converted into common stock. In this case, the conversion price is not given, so it is not possible to calculate the value of the preferred stock converted.

Impact on the Financial Statements:

The issuance of the 1,900 shares of common stock will increase the equity section of the balance sheet. The total par value of the common stock issued ($19,000) will be recorded as an increase in the common stock account, which is a component of the stockholders' equity section of the balance sheet.

If the preferred stock had any accumulated dividends or other preferences, these would need to be taken into account in the conversion process. Additionally, any difference between the fair value of the preferred stock and the par value of the common stock issued would need to be recorded as an adjustment to the additional paid-in capital account.

Without more information about the conversion price and any other terms of the conversion, it is not possible to provide a more specific analysis of the impact on the financial statements of Carla Corporation.

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Answer:

60 minutes

Step-by-step explanation:

Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.

One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.

This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.

The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.

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Method 4: Here, the square bracket notation is used with the key marks, which is enclosed within quotes. As the key marks is not enclosed within quotes in the dictionary, this method is incorrect.

Hence, the method is incorrect.

The correct methods to obtain the value(s) of the key marks from the given dictionary are as follows:a. `m= student.get('marks')`b. `m= student['marks']`.

Method 1: Here, we use the get() method to obtain the value(s) of the key marks from the dictionary. This method returns the value of the specified key if present, else it returns none. Hence, the correct method is `m= student.get('marks')`.

Method 2: Here, we access the value of the key marks from the dictionary using the square bracket notation. This method is used to directly get the value of the given key.

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The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

The correct option is (C)

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere. Examples of spheres are a ball, a globe, the planets, etc.

Let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

We know,

Formula of volume of sphere :

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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Answer:

length=50m

width=25m

Step-by-step explanation:

perimeter is the distance all round,hence

2(l+w)=2(2x+x)=

4x+2x=6x=150

6x=150x

x=25

l=50m

w=25m