We will use boosting to predict Salary in the Hitters data set. A) Remove the observations for whom the salary information is unknown, and then log-transform the salaries. B) Create a training set consisting of the first 200 observations, and a test set consisting of the remaining observations. C) Perform boosting on the training set with 1,000 trees. What is the the test set MSE

The area of the figure which consists of two congruent triangles and a rectangle is calculated as: 52 cm².

In the diagram given above, we see a composite figure consisting of two triangles that are congruent, and a rectangle, therefore:

Area of the figure = area of the two triangles + area of rectangle.

The Area of the two triangles:

base = 8 cm²

height = 4.5 cm²

Area of the two triangles = 2(1/2 * base * height) = base * height

Area = 8 * 4.5 = 36 cm²

Area of rectangle = length * width = 4 * 4

= 16 cm²

Total area = 36 + 16 = 52 cm²

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In a polynomial function of the lowest degree with rational coefficients that have the given numbers as some of its zeros, we can use the fact that if a number "a" is a zero of a polynomial function, then (x-a) is a factor of the function.

Therefore, we can start by multiplying together (x-a) for each given zero, and then simplify the resulting expression to get the polynomial function in standard form with rational coefficients.

For example, if the given zeros are 2, -1, and 1/2, we would start by multiplying (x-2)(x+1)(x-1/2), which gives:

(x-2)(x+1)(2x-1)

Expanding this expression, we get:

2x^3 - 3x^2 - 5x + 2

This is a polynomial function of degree 3 (highest exponent is 3) with rational coefficients (all coefficients are integers or fractions). Note that this is the lowest degree possible for a polynomial with these zeros, since there are three distinct zeros.

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Answer: When a polygon is transformed so that the image of A′ is at (−2, 4) and the image of D′ is at (−1, 2), it means that the image of the polygon is congruent to the original polygon and has undergone a transformation of a horizontal reflection.

A horizontal reflection is a transformation in which the shape is reflected over the x-axis, resulting in a mirror image of the shape with the same size and orientation but reflected horizontally. In this case, the image of the polygon is congruent to the original polygon and has undergone a horizontal reflection with a horizontal translation of 3 units to the left.

The transformation can be described as a composition of the horizontal reflection over the x-axis and a translation of -3 units horizontally.

Step-by-step explanation:

Answer:

Elimination

Step-by-step explanation:

Elimination is a process which involves complete removal of one of the variables in a given equation, so as to first determine the value of the other variable.

For example in solving a simultaneous equation, applying the elimination method is easily understood, straight forward and simple to use. Once the logic behind the process is well understood and followed, errors can easily be avoided.

Therefore my favorite way of solving an equation would be by applying the elimination method because it is easy and direct to apply.

The value of a is given by the third root of the function.

The function for this problem is defined as follows:

f(x) = x(x - 2)(x - a).

According to the Factor Theorem, the function is defined as a product of it's linear factors, hence the roots of the function are given as follows:

Hence the value of a is the third root of the function, which is the value on the graph at which the function crosses the x-axis along with x = 0 and x = 2.

The problem is incomplete, hence the general procedure to obtain the value of a is presented.

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The correct function to represent the transformation of the parent function f(x) = 5x after it has been vertically shifted down two units and horizontally shifted to the right three units is g(x) = 5(x-3)-2.

The horizontal shift of three units to the right is represented by the subtraction of three from the x value inside the parentheses, while the vertical shift of two units down is represented by the subtraction of two from the output value of the function. The parent function f(x) = 5x is a linear function with a slope of 5 and a y-intercept of 0.

The transformation of the function g(x) does not change the slope or y-intercept of the parent function but shifts it horizontally and vertically on the coordinate plane. Answering this question requires more than 100 words.
The parent function, f(x) = 5x, has been vertically shifted to the right three units and down two units. To represent this transformation, we can modify the original function as follows:

g(x) = 5(x - 3) - 2

This new function, g(x), is the correct representation of the parent function after the specified shifts. The original function, f(x) = 5x, has been transformed by shifting its graph horizontally to the right by three units and vertically downwards by two units.

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Answer:

-1/2

Step-by-step explanation:

It mentions that the x-intercept is equal to twice the y-intercept.

=============================================================

Let :

⇒ x-intercept = (2a, 0)

⇒ y-intercept = (0, a)

==============================================================

Slope formula :

m = y₂ - y₁ / x₂ - x₁

=============================================================

Solving :

⇒ m = a - 0 / 0 - 2a

⇒ m = a / -2a

⇒ m = -1/2

Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?

===========================================================

Explanation:

We have four blank slots to fill. Call them slot A,B,C,D. There are 4 letters to pick from when filling slot A. After that selection is made, there are 3 letters left for slot B. This process keeps going til you count down to 1.

Multiplying those values out gives 4*3*2*1 = 24

-----------

Extra info:

This concept is given factorial notation of an exclamation mark, so you'd write 4! = 4*3*2*1 = 24 or simply 4! = 24.

Another example of factorial notation is 7! = 7*6*5*4*3*2*1. We start with 7 and count our way down til we get to 1, multiplying all along the way.

You could also use the nPr permutation formula \(_nP_r = \frac{n!}{(n-r)!}\) though that isn't necessary in my opinion since it involves factorials which we already used above. If you use the permutation formula, then you would have n = 4 and r = 4. The n refers to the number of items you are arranging and r = 4 is the number of slots you are filling.

It turns out that \(_nP_r = \frac{n!}{(n-r)!} = n!\) when r = n.

You can think of it in a smaller chunk. If we fix S to be the first letter, then we have O,N,G to rearrange. There are 6 ways to do this as shown

Basically showing that 3! = 6. We have 4 different ways to have the first letter be selected, so we have 4*6 = 24 permutations of SONG.

The apple mean weight's 95% confidence interval is;

CI = (119.14, 125.86) (119.14, 125.86)

The confidence interval above should be understood as;

We have a 95% confidence that each apple's average weight, across all of the apples they send, falls between 119.14 and 125.86 grams.

Ours is given;

12 for the standard deviation.

Sample size: 49; n

x = 122.5 is the indicated mean weight.

The current confidence interval formula is;

CI = x⁻ ± z(σ/√n)

Tables indicate that z = 1.96 at a 95% confidence level.

Thus;

CI = 122.5 ± 1.96(12/√49)

CI = 122.5 ± 3.36

CI = (122.5 - 3.36), (122.5 + 3.36)

CI = (119.14, 125.86)

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The function with an amplitude of 3 and a phase shift of π/2 is h(x) = 3 cos (2x - π/2) + 3.

The amplitude of a function is the distance between the maximum and minimum values of the function, divided by 2. The phase shift of a function is the horizontal shift of the function from the standard position,

(y = cos(x) or y = sin(x)).
To find the function with an amplitude of 3 and a phase shift of π/2, we need to look for a function that has a coefficient of 3 on the cosine term and a horizontal shift of π/2.
Looking at the given options, we can eliminate option a) because it has a coefficient of -3 on the cosine term, which means that its amplitude is 3 but it is inverted.

Option b) has a coefficient of 3 on the cosine term but it has a phase shift of -π/2, which means it is shifted to the left instead of to the right. Option d) has a phase shift of π/2, but it has a coefficient of -2 on the cosine term, which means its amplitude is 2 and not 3.
A*cos(B( x - C)) + D

Where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

f(x) = -3 cos(2x - π) + 4

Amplitude: |-3| = 3

Phase shift: π (not π/2) b) g(x) = 3cos(2x + π) -1

Amplitude: |3| = 3

Phase shift: -π (not π/2) c) h(x) = 3 cos (2x - π/2) + 3

Amplitude: |3| = 3

Phase shift: π/2 d) j(x) = -2cos(2x + π/2) + 3200

Amplitude: |-2| = 2 (not 3)

Phase shift: -π/2
Therefore, the only option left is c) h(x) = 3 cos (2x - π/2) + 3. This function has a coefficient of 3 on the cosine term and a horizontal shift of π/2, which means it has an amplitude of 3 and a phase shift of π/2.
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Answer:

-2

Step-by-step explanation:

Answer: Options 1 and 2

Step-by-step explanation:

\(\frac{1}{3}x+2x-\frac{5}{3}x+\frac{1}{3}x-5\\\\=x-5\\\\=4x-5-3x\)

The length of a diagonal from one corner of the garden to the opposite corner is equal to the square root of the sum of the squares of the lengths of the sides of the garden. So, the length of the diagonal is about 20.2 meters.

Here's the solution:

Let d be the length of the diagonal.

We know that the length of the garden is 15 m and the width of the garden is 13.70 m.

We can use the Pythagorean theorem to find the length of the diagonal:

d^2 = 15^2 + 13.70^2

d = sqrt(15^2 + 13.70^2)

d = sqrt(225 + 187.69)

d = sqrt(412.69)

d = 20.2 m (rounded to the nearest tenth)

The fraction of the video that is greater than two minutes but less than or equal to 3 minutes is the first video which spans 2 minutes 40 seconds and the fraction for that in relation to the total length of vides in seconds is 2/5.

Note that the total length of videos is 400 seconds. The lenght of video that is greater than two minutes but less than or equal to 3 minutes is 160 seconds.

Thus, we have 160/400.

To simplify 160/400, we can divide both the numerator and denominator by their greatest common factor, which is 40:

160/400

= (160 ÷ 40) / (400 ÷ 40)

= 4/10

We can simplify this further by dividing both the numerator and denominator by their greatest common factor of 2:

4/10

= (4 ÷ 2) / (10 ÷ 2)

= 2/5

Therefore, 160/400 simplified to its lowest terms is equivalent to 2/5.

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Answer:

114 Feet^2

Step-by-step explanation:

Volume is length*width*height

So we can cut our shape into 2 rectanges.

The bottom one will have the dimensions of 6*1*3 which is 18 feet

And the top one will have the dimensions of 8*4*3 which is 96 feet

Add them up, 96+18=114 feet

Euler's method is a numerical approximation technique used to solve ordinary differential equations by dividing the interval into small steps and approximating the solution at each step based on the derivative.

To obtain a four-decimal approximation of the value of y(0.5) using Euler's method, we can follow these steps:
1. First, let's define the function \(y' = x^2 + y^2\) and the initial condition      y(0) = 2.

2. Using a numerical solver like Euler's method, we can approximate the value of y at different points.

3. For the first approximation, let's use a step size of h = 0.1. To find the approximation of y(0.5), we need to calculate the values of y at each step using the following formula:

\(y(i + 1) = y(i) + h \left( x(i)^2 + y(i)^2 \right)\)

where i represents the current step and x(i) represents the corresponding x value.

4. Starting with the initial condition y(0) = 2, we can calculate the values of y at each step until we reach x = 0.5. The steps are as follows:

- For i = 0:
    y(0) = 2

- For i = 1:
 x(1) = 0.1,

\(y(1) = y(0) + 0.1 \times (0^2 + 2^2)\)

- For i = 2:
  x(2) = 0.2,

\(y(2) = y(1) + 0.1 \times (0.1^2 + y(1)^2)\)

- Continue this process until we reach x = 0.5.

5. Repeat the above steps with a step size of h = 0.05 to obtain a more accurate approximation of y(0.5).

By following these steps, you should be able to use a numerical solver and Euler's method to obtain a four-decimal approximation of the value of y(0.5) for both h = 0.1 and h = 0.05.

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The probability that 10 or fewer people win a free lunch by chance alone is approximately 0.624 or 62.4%.

The probability that 10 or fewer people win a free lunch by chance alone depends on the total number of people eligible for the free lunch and the probability of winning.

To calculate the probability, we need to know the total number of people eligible for the free lunch and the probability of winning. Let's assume that there are N people eligible for the free lunch, and each person has an equal chance of winning, so the probability of any person winning is 1/N.

Now, let's calculate the probability that 0, 1, 2, ..., 10 people win the free lunch. We can use the binomial distribution formula to calculate this:

P(X ≤ 10) = Σi=0^10 (N choose i) * p^i * (1-p)^(N-i)

Where X is the number of people who win the free lunch, p is the probability of winning (1/N), and (N choose i) is the binomial coefficient.

For example, if there are 100 people eligible for the free lunch, the probability of any person winning is 1/100. The probability that 10 or fewer people win the free lunch is:

P(X ≤ 10) = Σi=0^10 (100 choose i) * (1/100)^i * (99/100)^(100-i) ≈ 0.624

Therefore, the probability that 10 or fewer people win a free lunch by chance alone is approximately 0.624 or 62.4%.

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The real solutions to the equation are \(x = 1\) and \(x = -1\).

The Euclidean algorithm is a method for finding the greatest common divisor (GCD) of two numbers. It is based on the observation that if \(a\) and \(b\) are two positive integers with \(a > b\), then the GCD of \(a\) and \(b\) is equal to the GCD of \(b\) and \(a \mod b\). This process is repeated until the remainder becomes zero, at which point the GCD is found.

The Euclidean algorithm can be written as follows:

```

function EuclideanAlgorithm(a, b):

   while b ≠ 0:

       remainder = a mod b

       a = b

       b = remainder

   return a

```

Now, let's analyze the growth of \(3^{n+2}\) compared to \(3^n\) to determine if \(3^{n+2} = O(3^n)\). In this case, we can simplify the expression:

\(3^{n+2} = 3^n \cdot 3^2 = 9 \cdot 3^n\)

Since \(9 \cdot 3^n\) is a constant multiple of \(3^n\), we can conclude that \(3^{n+2}\) is indeed \(O(3^n)\).

Moving on to the equation \([x^2 + 1] = 2\), the brackets represent the floor function. So, we need to find the real numbers \(x\) whose square plus 1 is equal to 2. Solving this equation, we have:

\(x^2 + 1 = 2\)

\(x^2 = 1\)

\(x = \pm 1\)

Therefore, the real solutions to the equation are \(x = 1\) and \(x = -1\).

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∠1 = 26°

∠2 = 154°

∠3 = 26°

∠4 = 26°

∠5 = 154°

∠6 = 154°

∠7 = 26°

Step-by-step explanation:

So, we have two parallel lines cut by a transversal (C).

Vertical angles are always equal.

∠2 = 154° (vertical angles)

Linear pair make up 180°.

∠1 = 180° - 154° = 26° (linear pair)

∠1 = ∠3 = 26° (vertical angles)

Corresponding angles are always equal.

∠5 = 154° (corresponding angles)

∠5 = ∠6 = 154° (vertical angles)

Alternate Interior angles are always equal.

∠3 = ∠4 = 26° (alternate interior angles)

∠4 = ∠7 = 26° (vertical angles)

Corinne will need 15 square hardwood tiles to completely cover her bedroom floor.

What is area of square?

Area of a square is (side × side) square unit.

Here to cover the entire floor, we need to determine how many square tiles with 1-foot side length can fit into the floor area.

The area of Corinne's bedroom floor is:

Area = length × breadth = 5 feet × 3 feet = 15 square feet

Each square tile has an area of area of one tile = side × side = 1 foot × 1 foot = 1 square foot.

So, the number of tiles required to cover the floor is number of tiles = Total area / Area of one tile

Number of tiles = 15 square feet / 1 square foot.

Number of tiles = 15

Therefore, Corinne will need 15 square hardwood tiles to completely cover her bedroom floor.

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Correct question is "A scale drawing of Corinne's bedroom floor whose length is 5 feet and breadth is 3 feet. All given dimensions are in feet, and all

intersecting line segments shown are perpendicular.Corinne wants to completely cover the floor with square hardwood tiles. Each tile has a side length of

1 foot, and no tiles will be cut. How many tiles will Corinne need to cover the floor?"

Answer:

29°C

Step-by-step explanation:

Given the following

Highest temperature=  11°C

lowest temperature

Drop in temperature = highest - lowest

Drop in temperature = 18 - ()-11)

Drop in temperature = 18 + 11

Drop in temperature = 29°C

Answer:

I dont understand

Step-by-step explanation:

Answer:

P(B and B) = 1/9

Step-by-step explanation:

There are 4+3+5 = 12 tiles in total

The probability of selecting a B would be 4/12=1/3

When you are replacing a B tile, planning to pick a B tile again, the total tile count doesn't change. Therefore, because the two events are independent, their probabilities are multiplied and so P(B and B) = P(B) * P(B) = 1/3 * 1/3 = 1/9

Answer:

B.

Step-by-step explanation:

It's an experiment Hope it helped you brainiest plz

Answer:

B. An experiment

Step-by-step explanation:

hope it helps

The circumference of the circle is 28.3\(cm^2\).

A circle's circumference is the distance spanning its outermost point. Diameter is the measurement from a circle's centre to the outside. The radius of a circle is the separation between its centre and any point on its edge.

Here the given diameter d = 9 cm

Using circumference of circle formula then,

=> Circumference C = \(\pi d\) square unit.

Then,

=> C = 3.14*9 = 28.3\(cm^2\)

Hence the circumference of the circle is 28.3\(cm^2\).

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Answer:

200+(50x) x = months

Step-by-step explanation:

the start up is 200, every month x han has to pay 50

total cost = 200+(50x)

Answer:

164.53125%

Step-by-step explanation:

105.3 is 164.53100% of 64

Answer:

Step-by-step explanation:

we solve with a proportion

105.3 : 64 = x : 100

x = 105.3 × 100 ÷ 64

x = 164.53125%