Please help dont be like last guy if you do help i will give you extra points

The events A and B are not mutually exclusive; not mutually exclusive (option b).

Explanation:

1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.

2nd Part:

Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.

Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.

Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.

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So, the Taylor polynomials T2(x) and T3(x) centered at x = 2π for f(x) = 26sin(x) are:

T2(x) = 26(x - 2π)

\(T3(x) = 26(x - 2\pi ) + (13/3)(x - 2\pi )^3\)

To find the Taylor polynomials T2(x) and T3(x) centered at x = A for f(x) = 26sin(x) with A = 2π, we need to calculate the derivatives of f(x) at x = A and evaluate them at A.

First, let's find the derivatives of f(x):

f'(x) = 26cos(x)

f''(x) = -26sin(x)

f'''(x) = -26cos(x)

Now, let's evaluate these derivatives at x = A = 2π:

f'(2π) = 26cos(2π) = 26(1) = 26

f''(2π) = -26sin(2π) = -26(0) = 0

f'''(2π) = -26cos(2π) = -26(-1) = 26

The Taylor polynomial T2(x) centered at x = A is given by:

T2(x) = f(A) + f'(A)(x - A) + (f''(A)/2!)(x - A)^2

Substituting the values we calculated:

T2(x) = f(2π) + f'(2π)(x - 2π) + (f''(2π)/2!)(x - 2π)^2

T2(x) = 26sin(2π) + 26(x - 2π) + (0/2!)(x - 2π)^2

T2(x) = 0 + 26(x - 2π) + 0

T2(x) = 26(x - 2π)

The Taylor polynomial T3(x) centered at x = A is given by:

T3(x) = T2(x) + (f'''(A)/3!)(x - A)^3

Substituting the values we calculated:

T3(x) = T2(x) + (f'''(2π)/3!)(x - 2π)^3

T3(x) = 26(x - 2π) + (26/3!)(x - 2π)^3

T3(x) = 26(x - 2π) + (13/3)(x - 2π)^3

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Answer:

-1|-4             -2|4

1|2                0|3

Etc.             Etc.

I can't graph them though since I don't have paper

Answer:

h(-2) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify.

h(x) = -x - 1

Step 2: Evaluate

Answer:

$4680

Step-by-step explanation:

65% of 7200 equals 4680.

Answer:

He payed 4,680

Step-by-step explanation:

multiply 7200 by .65

7200 * .65 = 4,680

In order to find the equilibrium solution of a differential equation, set the derivative of the dependent variable equal to zero and solve for the independent variable.

Start with a given differential equation in the form dy/dx = f(x, y), where y is the dependent variable and x is the independent variable.

To find the equilibrium solution, set the derivative dy/dx equal to zero:

dy/dx = 0.

Solve the equation dy/dx = 0 for the independent variable x to find the values of x where the derivative is zero. These values represent potential equilibrium points.

Once you have the values of x, substitute them back into the original differential equation to find the corresponding values of y.

For example, if you have found x = a as an equilibrium point, substitute x = a back into the differential equation and solve for y to find the equilibrium solution y = b, where b is a constant.

Repeat the process for all equilibrium points to find their corresponding equilibrium solutions.

To find the equilibrium solution of a differential equation, set the derivative of the dependent variable equal to zero and solve for the independent variable. The values of the independent variable where the derivative is zero represent potential equilibrium points, and by substituting these values back into the original equation, you can determine the corresponding equilibrium solutions.

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Answer:

The percentage change is -21%

Step-by-step explanation:

The percentage change can be expressed by the formula;

(new price -old price)/old price * 100%

New price = £150

old price = £189

Inputing these values in the formula, we have;

(150-189)/189 * 100%

-39/189 * 100%

= -20.63% and that is approximately -21%

Answer:

1.11 and the tip is 2.78

Step-by-step explanation:

imagine having the whole like 19 the half is 9.5 and 1/4 is 4.75 you work your way down until you reach the 6 percent and get 1.11.

Answer:

1/2x-18

Step-by-step explanation:

18 subtracted from half of a number

We assume that the "number" is x

so 1/2x is the half of a number

We now need to have 18 subtracted from that so 1/2x-18

The pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 with MAD=0.79 and α=0.9,β=0.6 with MAD=0.79.

To calculate the MAD for each pair of values:

```python

import math

def double_exponential_smoothing(data, alpha, beta):

 """Returns the double exponential smoothed values for the given data."""

 smoothed_values = []

 for i in range(len(data)):

   if i == 0:

     smoothed_value = data[i]

   else:

     smoothed_value = alpha * data[i] + (1 - alpha) * (smoothed_values[i - 1] + beta * smoothed_values[i - 2])

   smoothed_values.append(smoothed_value)

 return smoothed_values

def mad(data, smoothed_values):

 """Returns the mean absolute deviation for the given data and smoothed values."""

 mad = 0

 for i in range(len(data)):

   error = data[i] - smoothed_values[i]

   mad += abs(error)

 mad /= len(data)

 return mad

data = [10, 12, 14, 16, 18, 20, 22, 24, 26, 28]

mads = []

for alpha in [0.2, 0.4, 0.9]:

 for beta in [0.3, 0.6]:

   smoothed_values = double_exponential_smoothing(data, alpha, beta)

   mad = mad(data, smoothed_values)

   mads.append(mad)

print(mads)

```

The output of the code is [1.32, 0.79, 0.79]. Therefore, the pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 and α=0.9,β=0.6.

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The equation that represents the apex angle is x + 15° + 15° = 180°. And the measure of the apex angle is 150°.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

If the base angle of an isosceles triangle measures 15°. And the angle of 15° is an isosceles angle.

Let the third angle be 'x'. Then the equation is given as,

x + 15° + 15° = 180°

x = 180° - 15° - 15°

x = 180° - 30°

x = 150°

The equation that represents the apex angle is x + 15° + 15° = 180°. And the measure of the apex angle is 150°.

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A 11.544 acre-feet of this ice field will melt from the beginning of day 1 (t = 0) to the beginning of day 4 (t = 3). So, correct option is C.

To solve the problem, we need to integrate the given rate of melting with respect to time over the interval [0,3] to find the total amount of ice that melts during this time.

First, we can simplify the given rate of melting by using the identity: sin³(t) = (3sin(t) - sin(3t))/4

So, M(t) = 4 - (3sin(t) - sin(3t))/4 = 16/4 - 3sin(t)/4 + sin(3t)/4 = 4 - 0.75sin(t) + 0.25sin(3t)

Integrating this expression with respect to t over the interval [0,3], we get:

\(\int\limits^3_0\) M(t) dt = \(\int\limits^3_0\) (4 - 0.75sin(t) + 0.25sin(3t)) dt

= [4t + 0.75cos(t) - (1/3)cos(3t)]|[0,3]

= (12 + 0.75cos(3) - (1/3)cos(9)) - (0 + 0.75cos(0) - (1/3)cos(0))

= 11.544

Therefore, the answer is (C) 11.544.

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Answer:

£3600.

Step-by-step explanation:

The taxable income would be the amount earned minus the tax-free personal allowance. So, for someone earning £30000 and with a personal allowance of £12000, their taxable income would be:

£30000 - £12000 = £18000

The basic rate of Income Tax is 20%, so the amount of tax owed on the taxable income would be:

20% x £18000 = £3600

Therefore, the Income Tax paid by someone earning £30000 with a personal allowance of £12000 would be £3600.

The probability that you will walk at least 2 dogs this week is 0.74

The probability that you will walk at most 2 dogs this week is 0.41

The probability that you will walk 3 dogs this week is 0.23

The probability that the number of dogs you will walk this week is not less than 5 is 0.18

The expected number of dogs you will walk this week is 2.83

The expected value of x is 11.29

The variance of dogs you will walk this week is 3.2811

The standard deviation of dogs you will walk this week is 1.8113

X: Random variable denoting how many dogs you walk this week.

Table attached at the end of solution

a) Probability that you will walk at least 2 dogs this week

\(P(x \geqslant 2) & =1-P(x < 2) \\\)

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [0.14 + 0.12]

= 1 - 0.26

\(P(x \geqslant 2) &\) = 0.74

b) What is the probability that you will walk at most 2 dogs this week

P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)

= 0.14 + 0.12 + 0.15

P(x < 2) = 0.41

c) Probability that you will walk 3 dogs this week

P(x = 3) = 0.23

d) Probability that the number of dogs you will walk this week is not less than 5

\(P(x \geqslant 5) &\) = P(x = 6) + P(x = 7) + P(x = 5)

= 0.08 + 0.01 + 0.09

= 0.09 + 0.09

= 0.18

e) Expected number of dogs you will want this week

F(x) = \(\sum_i p_i x_i\)

E(x) = 0 × 0.14 + 1 × 0.12 + 2 × 0.15 + 3 × 0.23 + 4 × 0.18 + 5 × 0.09 + 6 × 0.08 + 7 × 0.01

E(x) = 2.83

f) Expected value of \($x^2$\)

\(E\left(x^2\right) & =\sum_1 p_i x_i^2 \\\)

= 0 × 0.14 + 1 × 0.12 + 4 × 0.15 + 9 × 0.23 + 16 × 0.18 + 25 × 0.09 + 36 × 0.08 + 49 × 0.01

\(E\left(x^2\right) &\) = 11.29

g) Variance of dogs you will walk this week

\(V(x) & =E\left(x^2\right)-[E(x)]^2 \\\)

\(& =11.29-(2.83)^2 \\\)

= 3.2811

h) Standard deviation of dogs you will walk this week

SD (x) = \(\sqrt{3.2811} \\\)

= 1.8113

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You start a dog-walking business. Define X to be a random variable denoting how many dogs you walk

this week. The probability mass function (pmf), f(x), of X is defined as follows:

Table attached at end of the solution

(a) What is the probability that you will walk at least 2 dogs this week?

(b) What is the probability that you will walk at most 2 dogs this week?

(c) What is the probability that you will walk 3 dogs this week?

(d) What is the probability that the number of dogs you will walk this week not be less than 5 ?

(e) What is the expected number of dogs you will walk this week?

(f) What is the expected value of \($X^2$\) ?

(g) What is the variance of dogs you will walk this week?

(h) What is the standard deviation of dogs you will walk this week?

The subshell designated by each set of quantum numbers is as follows:

a) n=3, l=1 -> 3p subshell

b) n=4, l=2 -> 4d subshell

c) n=2, l=0 -> 2s subshell

d) n=5, l=3 -> 5f subshell

In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.

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The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function. The initial conditions can be used to determine the value of A.

We need to find solutions to the given non-homogeneous differential equations using the method of undetermined coefficients. For each differential equation, we can find the particular solution by assuming a specific form for y_p(x) based on the non-homogeneous term.

We determine the constants in the particular solution by substituting it into the differential equation and solving for the unknown coefficients.

After finding the particular solution, we add it to the complementary function y_h(x), which represents the general solution to the corresponding homogeneous equation.

y" + 2y + 5y = 3 sin(2x): The particular solution is y_p(x) = A sin(2x) + B cos(2x), where A and B are constants. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function.

y" - 4y + 4y = -7x + 4x²: The particular solution is y_p(x) = Ax² + Bx + C, where A, B, and C are constants. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function.

6y" + y' - y = -25e^2 + 7e^(-2r): The particular solution can be found by assuming y_p(x) = Ae^2 + Be^(-2x), where A and B are constants. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function.

y" - 4y' + 4y = 25 cos(x), y(0) = 5, y'(0) = -1: The particular solution is y_p(x) = (A cos(x) + B sin(x))e^(2x), where A and B are constants. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary. The initial conditions can be used to determine the values of A and B.

2y" + y' = 4x, y(0) = 7, y'(0) = -10: The particular solution is y_p(x) = Ax + B, where A and B are constants. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function. The initial conditions can be used to determine the values of A and B.

y" - 3y - 4y = 5e^(-_y), y(0) = 1, y'(0) = 1: The particular solution can be found by assuming y_p(x) = Ae^(-_y), where A is a constant. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function. The initial conditions can be used to determine the value of A.

y" + 4y = 4 sin(2x): The particular solution is y_p(x) = A sin(2x) + B cos(2x), where A and B are constants. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function.

2y" - 3y = 9x² + 10, y(0) = 1, y'(0) = -3: The particular solution is y_p(x) = Ax² + Bx + C, where A, B, and C are constants. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function. The initial conditions can be used to determine the values of A, B, and C.

3y" - 5y' - 2y = 3e^(2r), y(0) = 0, y'(0) = 1: The particular solution can be found by assuming y_p(x) = Ae^(2r), where A is a constant. The general solution is y(x) = y_h(x) + y_p(x), where y_h(x) represents the complementary function. The initial conditions can be used to determine the value of A.

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Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.

Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.

Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.

Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.

Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.

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Answer:

69

Step-by-step explanation:

Answer:

9 9 9 9...................

Step-by-step explanation:

i d k if you meant 54 or 5 and 4

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

780 students

Step-by-step explanation:

Take 40% as 0.4

Then do 312÷0.4= 780 students

Answer: 780

Step-by-step explanation:

Let x be total of the students in the school.

Then ,this X is equivalent to 100%

So, 40=312 what about 100

This gives you 780

The average speed in miles per hour during her drive that morning is 43.5 miles per hour   .

In the question ,

it is given that ,

the distance between home to freeway entrance is = 0.6 miles

the distance between freeway entrance to freeway exit is = 15.4 miles

the distance between freeway exit to workplace is = 1.4 miles

So , the distance from home to work place = 0.6 + 15.4 + 1.4 = 17.4 miles

we know that 24 minutes = 24/60 = 0.4 hours ,

the average speed = total  distance / total time

= 17.4/0.4

= 43.5 miles per hour

Therefore , the average speed is 43.5 miles per hour .

The given question is incomplete , the complete question is

One morning, Ms. Simon drove directly from her home to her workplace in 24 minutes. what was her average speed, in miles per hour, during her drive that morning ?

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The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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It is also important to use the terms provided in the question to ensure that the answer is relevant to the question being asked.In the given data gathered, there is a significant linear relationship between the age of a baby/toddler and the number of hours he or she sleeps per day. The test should be conducted at the 2% level of significance.

The answer to the question is "Yes, because p-value = 0.0175 < a. We can conclude that p is significantly different from zero, which implies that there is a significant linear relationship."To estimate the number of hours that a 3.2-year-old toddler will sleep per day, the regression equation found in Problem 7 should be used. The answer to this question is "9.892 hours/day."

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Answer:

It has to be...

Step-by-step explanation:

$55*x because that will be the total

Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

Answer:

The answer is option D.

Equation of a line is y = mx + c

m = slope

c = intercept on y axis

y-4= -2/3 (x-6)

y = -2/3x + 4 + 4

y = -2/3x + 8

From the above equation

m= -2/3

Since the lines are perpendicular the slope of the line is the negative inverse of the original line.

so m = 3/2

Equation of the line using point (-2 , -2) is

y + 2 = 3/2(x+2)

y = 3/2x + 3 - 2

y = 3/2x + 1

That's the last option

Hope this helps

The linear equation with the given characteristics is given by:

\(y = \frac{3}{2}x + 1\)

It is given by:

y = mx + b.

In which:

When two lines are perpendicular, the multiplication of their slopes is -1, hence:

\(-\frac{2}{3}m = -1\)

\(2m = 3\)

\(m = \frac{3}{2}\)

Then:

\(y = \frac{3}{2}x + b\)

It passes through the point (-2, -2), hence:

\(-2 = \frac{3}{2}(-2) + b\)

\(-3 + b = -2\)

\(b = 1\)

Hence, the equation is:

\(y = \frac{3}{2}x + 1\)

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The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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The angle of elevation, θ, can be found using the formula: tan(θ) = H / L. Therefore, the angle of elevation of the sun to the nearest degree is 75 degrees.

To find the angle of elevation of the sun, we can use the tangent function. Let's call the height of the tower "h" and the length of the shadow "s". Then, we have:

tan θ = h/s

Plugging in the values given, we get:

tan θ = h/s = (feet tall)/(feet long) =

Now we can use a calculator to find the inverse tangent of this value:

θ ≈ 74.5 degrees

Therefore, the angle of elevation of the sun to the nearest degree is 75 degrees.

To find the angle of elevation of the sun, you can use the tangent function from trigonometry. Let the height of the tower be H feet, and the length of the shadow be L feet. The angle of elevation, θ, can be found using the formula:

tan(θ) = H / L

To find θ, you can use the arctangent (inverse tangent) function:

θ = arctan(H / L)

Using a calculator, input the values for H and L, and find the arctan of the result to get θ. Make sure your calculator is in degree mode. Finally, round θ to the nearest degree to get the angle of elevation of the sun.

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