In this problem, we will find numerical and graphical summaries of the Titanic dataset using R. The dataset consists of information on all the passengers of the ill-fated trans Atlantic ship Titanic. We are looking at only 3 columns (variables) in the dataset, namely Age, Sex and Survival status of the passengers. The dataset "titanic asRData" is (.RData is a convenient R data format) available in the homework folder on Carmen. Load the file using the command 1. load("titanic_as.RData") Note, if you are not in the same directly as the .RData file then you need to put the filepath in front of titanic_as.RData. Once you load the data you should see a data.frame object with the name "titanic_as". The data.frame has 3 columns/variables, Age, Sex and Survived. In the variable "Sex", 0 indicates female and 1 indicates male. In the variable "Survived", 0 indicates did not survive and 1 indicates survived. Note that the data does not contain information on all the passengers and may not match the version of the same dataset available elsewhere. Use only this dataset to answer the following questions. You should report all R code used to obtain the answers (at the end of your homework as a script). Do NOT print the data file a) b) What fraction of people survived the crash? Report the summary statistics for the variable Age. Your summary statistics should at least contain the mean, median and standard deviation Report the summary statistics for the variable Age only for those passengers who survived the crash (i.e., whose value in the Survived column is 1) Plot the histogram for the variable Sex. Then, plot the histogram for the same variable, but only for people who survived What comments can you make about the proportions of male-female passengers in the entire ship, and among those who survived, on the basis of the two histograms you generated in part (d)? c) d) e)

Answer: A=-2

Step-by-step explanation:

AB=11

B=9

B-11=A

9-11=A

A=-2

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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Answer:

x=2.

y=3.

Step-by-step explanation:

Isolate x to one side to get 3.

Substitute 3 back into equation: 2.

Answer:

x = 2

Step-by-step explanation:

You can calculate x in many ways but let see by Subistutition method.

Substitution method is a method that solve one variable interms of other and substitut in other given equetion.

So lets 1st write the equetion solving x and we will sustitute it.

5x - 2y = 4

5x = 4 + 2y

X = (4+2y)/5

now we will sustitute in x of the other equetion .

3x - 4y = -6

3((4+2y)/5 ) - 4y = -6

(12 +6y) / 5 - 4y = -6 ... we will multiply all eq. by 5

5 ( (12+6y) / 5 - 4y = -6 )

12 + 6y - 20y = -30

12 -14y = -30

-14y = 12 -30

-14y = - 18

-14y/-14= - 18/-14

y = 3 so we get y now x

X = (4-2y)/5

X= (4-2(9/7) )/5

X= 2

x = 2 is the solution of X .

True, the SDLC's planning phase yields a general overview of the company and its objectives. During this initial stage, the project's purpose, scope, and requirements are defined.

True. The planning phase of the Software Development Life Cycle (SDLC) is crucial in determining the direction and scope of the project. During this phase, the project team analyzes the company's goals, objectives, and requirements. This includes identifying the company's strengths, weaknesses, opportunities, and threats (SWOT analysis). The team also determines the feasibility of the project, identifies potential risks, and creates a plan for project execution. The planning phase yields a general overview of the company and its objectives, providing a solid foundation for the rest of the SDLC stages. It is essential to have a well-defined plan during this phase to ensure that the project aligns with the company's objectives and meets the expectations of the stakeholders.

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The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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Answer:

A) 240 games are not defective

Step-by-step explanation:

1% of 250 = 2.5

*4                *4

4% of 250 = 10

250 - 10 = 240

240 games are not defective

Answer:

because it has no sign if it is plus sign, minus sign etc.

If you are asking for the value of g, it is as follows.

4g-2g=30

2g=30

g=15

Therefore, the g=15.

Answer:

15

Step-by-step explanation:

4g-2g = 30

2g = 30

g = 15

Answer:

i think your right - it might me d cause woudn't the gravity and the surface cancel out and the force would make it move because there is no opposite force i donkt know tho

Answer:

a) -5

b) +-3

c) -2

Step-by-step explanation:

a

-5*-5*-5 = -125

b

3*3*3*3 = 81

-3 * -3 * -3 * -3 = +81

c

-2*-2*-2*-2*-2 = -32

Answer:

9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

Is it like partly constant and partly varies or inverse variation

Answer:

An invoice is a commercial instrument that states the total amount due.

The proforma invoice is a declaration by the seller to provide products and services on a specified date and time.

Step-by-step explanation:

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The foot of the ladder will slide by 8 feet.

The ladder will form a right angled triangle -

hypotenuse² = base² + perpendicular²

We have hypotenuse as 25 feet, base as 7 feet and we will find perpendicular.

P² = 25² - 7²

P² = 625 - 49

P² = 576

P = ✓576

P = 24 foot

After slipping, the perpendicular will decrease by 4 feet

New vertical height = 24 - 4

New vertical height = 20 feet

B² = 25² - 20²

B² = 625 - 400

B² = 225

B = ✓225

B = 15 foot

Slided distance = 15 - 7

Slided distance = 8 feet

Thus, ladder will be 15 foot away now and 8 feet away from older distance.

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The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer: 5m

Step-by-step explanation:

The Initial water level means that level amount when the time equal to 0hrs, which is 5m.

To evaluate the double integrals over the given regions, we can convert them into iterated integrals and then evaluate them step by step.

25. The double integral of f(x) = x(x + 2y) over the region R = {(x, y): 0 ≤ x ≤ 3, 1 ≤ y ≤ 4} can be expressed as:

∬R x(x + 2y) dA

To evaluate this integral, we can first integrate with respect to x and then with respect to y. The limits of integration for x are 0 to 3, and for y are 1 to 4. Therefore, the iterated integral becomes:

∫[1,4] ∫[0,3] x(x + 2y) dx dy

26. The double integral of f(x) = x² + xy can be evaluated in a similar manner. However, the given region R is not specified, so we cannot provide the specific limits of integration without knowing the bounds of R. We need to know the domain over which the double integral is taken in order to convert it into an iterated integral and evaluate it.

In summary, to evaluate a double integral, we convert it into an iterated integral by integrating with respect to one variable at a time while considering the limits of integration. The specific limits depend on the given region R, which determines the bounds of integration.

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Answer:

236.25

Step-by-step explanation:

15.75 sq yards * 15 dollars per sq yards = 236.25

You multiply the amount of square yards with the amount each costs to get your answer.

Hope this helps!

Answer:

2x,5x

Step-by-step explanation:

thats right I am not smart

Answer:

(x,y) = ( -6,8)

Step-by-step explanation:

waiting for brainlist

The area of ΔEFG is approximately 6.7 square centimeters.

To find the area of ΔEFG with given sides g = 5.2 cm, e = 5.1 cm, and ∠F = 42°, you can use the formula for the area of a triangle when two sides and the included angle are known. This formula is:

Area = (1/2)ab * sin(C)

In this case, a = g, b = e, and C = ∠F. Plug in the values:

Area = (1/2)(5.2 cm)(5.1 cm) * sin(42°)

Area ≈ 6.675 square centimeters

So, the area of ΔEFG is approximately 6.7 square centimeters to the nearest 10th of a square centimeter.

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Answer:

Second and Third

Step-by-step explanation:

Simple math.

4*1.25=5 and 5*4=20 20+5=25 Wrong

8*1.25=10 and 5*4=20 20+10=30 Right

24*1.25=30 right

5*1.25=6.25 and 8*4=32 Wrong

it is 24 children , 7.5 adult

30/1.25 and 30/4.00

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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It depends on the values of a,b,d and e in the equations , different values may lead to different answers.

What is linear equation ?

A linear equation is an equation in which the highest power of the variable is 1. Linear equations can be written in the form of y = mx + b, where m is the slope of the equation, x is the variable, and b is the y-intercept, the point where the line crosses the y-axis. These equations are called linear because they describe a straight line when graphed.

It depends on the specific equations and the values of a, b, d and e in the system of equations. Multiplying both sides of an equation by a non-zero constant does not change the solution set of the equation.

However, if Jim wants to use the method of elimination, which is multiplying one equation by a constant and adding or subtracting it from the other equation, then it is important to ensure that the coefficients of one variable in the two equations are opposite in sign after the multiplication. This will enable him to eliminate one variable and find the value of the other variable.

It depends on the values of a,b,d and e in the equations , different values may lead to different answers.

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Both of the given equations have no solution.

1. sec x-tanx sinx = 1/sec x

The left-hand side of the equation can be simplified by using the identity that sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x). So,

sec x - tan x sin x = 1/cos x - sin x/cos x sin x = 1/cos x - sin^2 x/cos x = 1/cos x - (1-cos^2 x)/cos x = 1/cos x - (1/cos x) = 1/cos x - 1/cos x = 0.

On the right-hand side, sec x = 1/cos x, so 1/sec x = cos x. Hence,

0 = cos x

This equation has no solution, which means that the original equation sec x - tan x sin x = 1/sec x has no solution.

2. 1 +cosx/sinx = csc x Cot x

We can simplify the left-hand side of the equation by using the identity that csc(x) = 1/sin(x) and cot(x) = cos(x)/sin(x). So,

1 + cos x/sin x = 1/sin x * cos x/sin x = cot x.

Hence,

1 + cot x = cot x

This equation has no solution, which means that the original equation 1 +cosx/sinx = csc x Cot x has no solution.

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Answer:

21 ft²

Step-by-step explanation:

3*5 + 2*3 = 21

Answer:

$19.00 plus $2.50 = $21.50.

$14.00 plus $3.75 = $17.75

add $3.75 to $17.75 once to get 21.50

2 hours at Woof Watchers is the same as 1 hour at Happy Paws. <Hope that helped>

Step-by-step explanation: