1 Often when making ethical decisions people begin with a solution in mind and spend time rationalizing why that solution is ethical ut of Select one True O False

Answer:

36 people

Step-by-step explanation:

If the yearbook club had 1/2 the participants attend the meeting, than all of them would be represented by 18 x 2, or 36 (since two halves make a whole)

Answer:

\(sin\theta_1 = \dfrac{\sqrt{217}}{19}\)

Step-by-step explanation:

It is given that:

\(cos\theta_1 = -\dfrac{12}{19}\)

And we have to find the value of \(sin\theta_1 = ?\)

As per trigonometric identities, the relation between \(sin\theta\ and \ cos\theta\) can represented as:

\(sin^2\theta + cos^2\theta = 1\)

Putting \(\theta_1\) in place of \(\theta\) Because we are given

\(sin^2\theta_1 + cos^2\theta_1 = 1\)

Putting value of cosine:

\(cos\theta_1 = -\dfrac{12}{19}\)

\(sin^2\theta_1 + (\dfrac{12}{19})^2 = 1\\\Rightarrow sin^2\theta_1 + \dfrac{144}{361} = 1\\\Rightarrow sin^2\theta_1 = 1-\dfrac{144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{361-144}{361}\\\Rightarrow sin^2\theta_1 = \dfrac{217}{361}\\\Rightarrow sin\theta_1 = +\sqrt{\dfrac{217}{361}}, -\sqrt{\dfrac{217}{361}}\\\Rightarrow sin\theta_1 = +\dfrac{\sqrt{217}}{19}, -\dfrac{\sqrt{217}}{19}\)

It is given that \(\theta_1\) is in 2nd quadrant and value of sine is always positive in 2nd quadrant. So, the answer is.

\(\Rightarrow sin\theta_1 = \dfrac{\sqrt{217}}{19}\)

Answer:

−  square root 15/4

Step-by-step explanation:

To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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The distance of the given point P from the plane would be \(\frac{-1}{\sqrt{6}}, \frac{-5}{\sqrt{6}},and, \frac{2}{\sqrt{6}}.\)

What is a plane?

A plane is a two-dimensional Euclidean surface that extends indefinitely in mathematics. A plane is a two-dimensional equivalent of a point, a line, and a three-dimensional space.

The given point P is P(-2, -1, 1) and the plane coordinates are [4, -1, 6].

Then the distance will be

                                \(= \frac{-2.4+(-1*-1)+1.6}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{-1}{\sqrt{6} }\)

Now the distance of a point P from the plane t[1, 6, 3]

                                  \(= \frac{-2.1+(-1*6)+1.3}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{-5}{\sqrt{6} }\)

Now the distance of a point P from the plane [-2, 3, 1]

                                   \(= \frac{-2.-2+(-1*3)+1.1}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{2}{\sqrt{6} }\)

hence, the distance would be \(\frac{-1}{\sqrt{6}}, \frac{-5}{\sqrt{6}},and, \frac{2}{\sqrt{6}}.\)

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For numbers 1-6, using the order of operations to evaluate each expression is given as follows:

\((8.15 x 4 + 5) x 3.2 = 120.32\\12 + 5 + 32 x 2.2 = 87.4\\17 + 8 x (2.7 + 6) - 3 = 83.6\\38.9 - 2.3 x 1.5 + 2.6 = 37.05\\0.2 x (5 - 0.7) + 1.8 + 2 = 4.66\\5 + (8.06 - 12.5 + 2) = 4.56\)

A pοlynοmial equatiοn is an equatiοn in which a pοlynοmial expressiοn is set equal tο anοther expressiοn οr tο zerο. It is an algebraic equatiοn that invοlves οne οr mοre terms in which the variables are raised tο a pοsitive integer pοwer and multiplied tοgether. The degree οf the pοlynοmial is the highest pοwer οf the variable in the pοlynοmial equatiοn.

(8.15 x 4/5) x 3.2

= (6.52) x 3.2 (Perfοrming multiplicatiοn befοre divisiοn)

= 20.86

2. 12/5+32 x 2.2

= 2.4 + 70.4 (Perfοrming multiplicatiοn befοre additiοn)

= 72.8

3. 17+8 x (2.7/6)-3

= 17 + 1.2 - 3.0 (Perfοrming divisiοn befοre multiplicatiοn and subtractiοn)

= 15.2

4. 38.9 - 2.3 x 1.5 + 2.6

= 38.9 - 3.45 + 2.6 (Perfοrming multiplicatiοn befοre subtractiοn)

= 37.05

5. 0.2 x (5 - 0.7) + 1.8 / 2

= 0.2 x 4.3 + 0.9 (Perfοrming subtractiοn inside the parentheses)

= 1.12

6. 21.5/5+(8.06-12.5/2)

= 4.3 + 1.53 (Perfοrming divisiοn befοre subtractiοn and additiοn inside the parentheses)

= 5.83

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The expression that represents the perimeter of the frame is (8x+24) inches. Option C

From the question, we are given that dimensions of the photograph is 5 inch × 7 inchIt is given that the dimensions of the frame are 2x inches larger than the dimensions of the photograph. Thus, the dimensions of the frame is (2x+5) inches × (2x+7) inches.

Since, the frame is in rectangular shape. Perimeter of a rectangle = 2(Length + Width)

= 2(2x+5+2x+7)

= 2(4x+12)

= 8x+24 inches.

Thus, the perimeter of the frame is represented by the expression (8x+24) inches.

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The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

a. Continuous random variable

b. Discrete random variable

c. Discrete random variable

d. Continuous random variable

e. Discrete random variable

f. Not a random variable

a. The height of a randomly selected giraffe is a continuous random variable because it can take on any value within a certain range.

b. The number of points scored during a basketball game is a discrete random variable because it is a countable number.

c. The gender of college students is a discrete random variable because it is a categorical variable with two possible values.

d. The amount of rain in City Upper B during April is a continuous random variable because it can take on any value within a certain range.

e. The number of amount fish caught during a fishing tournament is a discrete random variable because it is a countable number.

f. The number of bald eagles in a country is not a random variable because it is a fixed number and not a random sample.

The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

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The height of the sun is constant, so the length of the person's shadow is decreasing at a constant rate of 4 ft/s.

To solve this problem, we'll need to use similar triangles. The vertical pole and the person standing beside it form a right triangle. The person and the end of their shadow form another right triangle. They are similar because they have two equal corresponding angles (the two angles on either side of the person's shadow).

The ratio of the height of the pole to the length of the person's shadow is the same as the ratio of the height of the person to the length of their shadow. In other words, We can cross-multiply to solve for x:x = (60 ft)/(15 ft) = 4 feet.

The rate at which the tip of the shadow is moving away from the person is the derivative of the length of the person's shadow with respect to time. Let's call this rate dx/dt, where x is the length of the person's shadow then there is a constant rate of decrease in shadow length.

Therefore, dx/dt = -4 ft/s. Since the tip of the shadow is moving away from the person, we want the magnitude of dx/dt, which is 4 ft/s.

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Step-by-step explanation:

algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Standard Equation

The standard form to find the value of X in multiplication operation is

Multiplicand × Multiplier = Product

Let us take Multipler as x,

Multiplicand × x = Product

Then the formula to find the value of x is

X = product / Multiplicand

Frequently Asked Questions to Find The Value of X Calculator

Answer:

A≈50.27

Step-by-step explanation:

:P

Answer:

Table 2

Step-by-step explanation:

We can solve this by dividing the number of pizzas at each table by the number of kids at each table.  This will tell us how much pizza each kid is able to eat:

Table 1:

2 pizzas/5 kids = 2/5 pizzas per kid = 0.4 pizzas per kid

Table 2:

3 pizzas/7 kids = 3/7 pizzas per kid = 0.429 pizzas per kid

Table 3:

5 pizzas/12 kids = 5/12 pizzas per kid = 0.417 pizzas per kid

The kids at table 2 are able to eat slightly more pizza than the kids at the other tables.

distance formula

sq root of (x2−x1)^2+(y2−y1)^2

sq root of (6−(−8))^2+((−1)−(−2))^2

simplify, its easier than it looks

sq root of 197

14.03566884

round to nearest hundreth

14.04

The Proportion of healthy adults have pulse rates that are more than 86 beats/minute is 27.42%

Z- Score gives an idea how far a data point is from mean .

z = x- μ / σ where numerator is difference between the random variable and the actual mean dividing by the standard deviation .

Given , mean = 80beats/minute

standard deviation = 10 beats/minute

x = 86 beats/minute

Applying z score formula :

z-score = (x-mean)/standard deviation

P(x>86) = P(z > 86-80/10)

=P(z>6/10)

=P(z>0.6) = 1 - P(z<0.6)

= 1 -0.7257

= 0.2742

Hence, the proportion of healthy adults have pulse rates that are more than 86 beats/minute is 0.2742

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To solve the given initial value problem, we'll use the method of separable variables. Let's start by rewriting the equation in a more convenient form:

dy/dx - x^3y^2 = 4x^3.

Now, let's separate the variables by moving the y^2 term to one side and the x^3 term to the other side:

dy/y^2 = (4x^3 + x^3y^2)dx.

Next, let's integrate both sides with respect to their respective variables:

∫(1/y^2)dy = ∫(4x^3 + x^3y^2)dx.

Integrating the left side gives:

-1/y = -1/y(0) + ∫(4x^3 + x^3y^2)dx.

To simplify the integration on the right side, we'll separate it into two integrals:

∫(4x^3)dx + ∫(x^3y^2)dx.

Integrating each term separately:

∫(4x^3)dx = x^4 + C1,

∫(x^3y^2)dx = (1/4)y^2x^4 + C2,

where C1 and C2 are constants of integration.

Now, let's substitute the results back into the equation:

-1/y = -1/y(0) + (x^4 + C1) + (1/4)y^2x^4 + C2.

To simplify further, let's multiply through by y^2:

-y = -y(0)y^2 + y^2(x^4 + C1) + (1/4)x^4y^2 + C2y^2.

Now, let's rearrange the equation to solve for y:

-y - y^3 + y^2(x^4 + C1) + (1/4)x^4y^2 + C2y^2 = 0.

This is a nonlinear differential equation, and finding an exact solution may not be possible. However, we can use numerical methods or approximation techniques to solve it.

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To find the determinant of a matrix using row reduction to echelon form, you can follow these steps:

1. Start with the given matrix.

2. Apply row operations to convert the matrix into echelon form. Row operations include multiplying a row by a nonzero scalar, adding a multiple of one row to another, and swapping two rows.

3. Continue performing row operations until you reach the echelon form, where all leading coefficients (the leftmost nonzero entry in each row) are 1 and the entries below leading coefficients are all zeros.

4. Once you have the matrix in echelon form, the determinant can be calculated by multiplying the leading coefficients of each row.

5. If you perform any row swaps during the row reduction process, keep track of the number of swaps. If the number of swaps is odd, multiply the determinant by -1.

Let's look at an example to illustrate these steps. Suppose we have the following 3x3 matrix:

| 2  1  3 |
| 1 -2 -4 |
| 3  0  1 |

Step 1: Start with the given matrix.

Step 2: Apply row operations to convert the matrix into echelon form.

First, we can multiply the first row by -1/2 and add it to the second row, resulting in:

| 2   1   3  |
| 0  -5/2 -5/2|
| 3   0    1  |

Next, multiply the first row by -3/2 and add it to the third row, giving us:

| 2   1   3  |
| 0  -5/2 -5/2|
| 0  -3/2 -8/2|

Finally, multiply the second row by -2/5 to get a leading coefficient of 1:

| 2   1   3  |
| 0   1    1 |
| 0  -3/2 -8/2|

Step 3: The matrix is now in echelon form.

Step 4: Calculate the determinant by multiplying the leading coefficients of each row:

2 * 1 * (-8/2) = -8

Step 5: Since no row swaps were performed, we don't need to multiply the determinant by -1.

Therefore, the determinant of the given matrix is -8.

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Answer:

$37

2x+15=y

Step-by-step explanation:

2x+15=y would be the function for any member's cost to be figured.

In Anna's case, if she bought 11 slices of pizza for $2 each and paid for her monthly membership of $15 then the equation would be

2(11)+15=

2x11=22

22+15=37

Her cost for that month would be $37

The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.

Given an equation,

$2.21 + 8% tax = $2.3868

This is an equation which relates the cost including the percentage of tax.

When 2.21 is added to the tax amount, we get $2.3868.

2.21 + (0.08 × 2.21) = 2.3868

Here it is not mentioned up to what decimal we have to round the figure.

If 2.3868 is rounded to the nearest whole number, it becomes 2.

If 2.3868 is rounded to the tenth, it becomes 2.4.

If 2.3868 is rounded to the hundredth, it becomes 2.39.

Hence the rounded amount to the nearest tenth is $2.4.

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Answer:

17/24

Step-by-step explanation:

nah im to lazy

Answer:

17/24

Step-by-step explanation:

3/8 + 2/6

(3)(3/8) + (4)(2/6)

9/24 + 8/24

17/24

There are 10 possible samples of two numbers that can be scored in the card game.

To find the number of possible samples of two numbers that can be scored in the card game, we can use the combination formula:

nCr = n! / r!(n-r)!

Here, n = 5 (since there are 5 different numbers), and we want to choose 2 at a time. Therefore, r = 2.

Plugging in these values, we get:

5C2 = 5! / 2!(5-2)! = 10

Therefore, there are 10 possible samples of two numbers that can be scored in the card game.

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Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Rolle's Theorem can be applied on \(-x^2 + 9x\) on [0, 9]

What is Rolle's Theorem?

Rolle's Theorem states that

1) If f is continuous on [a, b]

2) f is differentiable on (a, b)

3) f(a) = f(b)

Then there exist a point c in (a, b) such that \(f^{'}(c) = 0\)

Here, f(x) = \(-x^2 + 9x\)

f is continuous on [0, 9] as it is a polynomial function.

f is differentiable on (0, 9)

f(0) = \(-0^2+9\times 0 = 0\)

f(9) = \(-9^2+9 \times 9 = 0\)

f(0) = f(9)

So Rolle's Theorem has been applied here

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Answer:

Hotdogs

Explanation:

Given:

• 6 hotdogs cost $6.90

• 2 hamburgers cost $2.40

The unit prices are gotten by dividing the total cost by the number of items purchased.

The unit prices are calculated below:

Thus, we see that hotdogs have a lower unit price.

A is an n x n diagonal matrix with rank r , where rsn  and the statement (a)"O is an eigenvalue with algebraic muitiplicity n-r "  about A is true

Since A is an n x n diagonal matrix with rank r, the number of non-zero entries on the diagonal is r. This means that there are n - r zero entries on the diagonal.

For any diagonal matrix, the eigenvalues are simply the entries on the diagonal. Since there are n - r zero entries, the eigenvalue O has a geometric multiplicity of n - r.

Therefore, the correct statement is that O is an eigenvalue with geometric multiplicity n - r.

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The probability that they have at least 1 son is 98.4%

From the question, we have the following parameters that can be used in our computation:

Number of children, n = 6

The probability that a child is a son is 1/2, and the probability that a child is a daughter is also 1/2.

We can use the complement rule to find the probability that they have at least 1 son:

P(at least 1 son) = 1 - P(no son)

Where

P(no son) = (1/2)^6 = 1/64

So, the probability of having at least 1 son is:

P(at least 1 son) = 1 - 1/64

Evaluate

P(at least 1 son) = 98.4%

Hence, the probability is 98.4%

None of the options is correct

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Answer:

-14

Step-by-step explanation:

−18 + 39 − 13 + (−5) − 37 + 20

=> 2 + 39 - 13 - 5 - 37

=> 41 - 13 - 5 - 37

=> 4 - 13 - 5

=> -9 - 5

=> -14

Therefore, -14 is the answer.

Hoped this helped.

Here's a proof for each of the statements you provided.

a) If g∘f = I_A, then f is an injection.
Proof: Assume x1 and x2 are elements of A such that f(x1) = f(x2). We want to show that x1 = x2. Since g∘f = I_A, we have g(f(x1)) = g(f(x2)). Applying I_A, we get x1 = g(f(x1)) = g(f(x2)) = x2. Thus, f is injective.

b) If f∘g = I_B, then f is a surjection.
Proof: Let y be an element of B. We want to show that there exists an element x in A such that f(x) = y. Since f∘g = I_B, we have f(g(y)) = I_B(y) = y. Thus, there exists an element x = g(y) in A such that f(x) = y. Therefore, f is surjective.

c) If g∘f = I_A and f∘g = I_B, then f and g are bijections and g = f^(-1).
Proof: From parts (a) and (b), we know that f is both injective and surjective, which means f is a bijection. Similarly, g is also a bijection. Now, we need to show that g = f^(-1). By definition, f^(-1)∘f = I_A and f∘f^(-1) = I_B. Since g∘f = I_A and f∘g = I_B, it follows that g = f^(-1).

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