1. Describe how transformations can affect a parent function and then describe the transformation of f(x) = -2/x - 7 - 3 from f(x) = Vx.​

Answer:

I believe it would take 2 hours.

Step-by-step explanation:

Im insanly sorry if im wrong. Have a good day and good luck!

The required selling price of the game after two discount is $63.75.

The term discount designates a sum or a percentage subtracted from an item's usual selling price. Make sure you need all of the items you plan to get before waiting until after the holiday to make a purchase. A discount is a decrease in the cost of a commodity or service. ​

Discount = 25%,

Additional discount = 15%

Then,

Net discount is = 36.25%

We have,

Price of game = $100

Discount amount = 36.25% of $100 = $36.25

So, the selling price of the game after discount = $100 - $36.25

= $63.75

Thus, required selling price of the game is $63.75.

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Step-by-step explanation:

the answer is in the image above

The required magic square with consecutive numbers from 6 to 14 having a magic constant of 30​ is.
| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

A magic square is a square grid filled with consecutive integers in a way that all rows, columns, and diagonals have the same sum, known as the magic constant.

Here,
To complete the given magic square with consecutive numbers from 6 to 14 having a magic constant of 30, we can follow these steps:

Step 1: Write the partially filled magic square:

Step 2: Calculate the sum of the known numbers:

Step 3: Calculate the sum of the missing numbers:

Step 4: Distribute the missing numbers in the empty cells in a way that the sum of all rows, columns, and diagonals is equal to the magic constant of 30.

We know that the center cell must be 12, because it is the only cell that can be part of three different diagonals.

We can check that all rows, columns, and diagonals add up to 30:

| 13 | 6 | 11 |

| 8 | 10 | 12 |

| 9 | 14 | 7 |

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70% of those who went to the music concert and the play also did so.

A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The word "%" stands in for it.

In addition to being stated as a decimal or a fraction, a percentage is a number that indicates how many out of 100 it is. Three for the price of one! Simply enter the % as the numerator and 100 as the denominator to convert the percentage to a fraction.

We know that 350 people attended the drama play.

50% of 350 = (0.5) · 350 = 175 people attended both the drama play and music concert.

We know that 250 people attended the music concert.

The percentage of the people who attended the music concert even attended the drama play would be 175 ÷ 250 · 100% = 70%

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70% of those who went to the music concert and the play also did so.

Hence, the option A is correct.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. In order to get the percentage of a given number, divide the number by the total and multiply by 100. The percentage is a chunk out of one hundred. One out of 100 is referred to as a percentage. The symbol for it is "%".

A % is a number that, in addition to being expressed as a decimal or a fraction, also specifies how many out of 100 it is. For the price of one, get three! To convert a percentage to a fraction, just enter the% as the numerator and 100 as the denominator.

We know that 350 people attended the drama play.

50% of 350 = (0.5) · 350 = 175 people attended both the drama play and music concert.

We know that 250 people attended the music concert.

The percentage of the people who attended the music concert even attended the drama play would be 175 ÷ 250 · 100% = 70%

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Answer:

-3/2

Step-by-step explanation:

rate of change is slope

In a density curve, the proportion of data is represented by the area under the curve.

Therefore the answer is "area under the curve".

The area under the curve represents the probability or proportion of data within a certain interval. The curve itself represents the distribution of the data and the shape of the curve provides information about the type of distribution (e.g. normal, skew, etc.).

The intervals on both the horizontal and vertical axis are used to measure the density of the data, but they do not represent the proportion of data themselves. The length of the curve has no significance in representing the proportion of data.

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The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.

To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:

Step 1: Calculate the volume and weight of each cargo item:

For the skids of Apple:

Volume = 100 cm x 100 cm x 150 cm

= 1,500,000 cm³

= 1.5 m³

Weight = 400 kg each x 2

= 800 kg

For the boxes of Orange:

Volume = 35" x 25" x 30"

= 26,250 cubic inches

= 0.4292 m³

Weight = 100 kg each x 3

= 300 kg

Step 2: Calculate the total volume and weight of the shipment:

Total Volume = Volume of Apples + Volume of Oranges

= 1.5 m³ + 0.4292 m³

= 1.9292 m³

Total Weight = Weight of Apples + Weight of Oranges

= 800 kg + 300 kg

= 1,100 kg

Step 3: Convert the ocean freight rate to Canadian dollars:

Ocean freight rate to Mumbai = $250 USD / m³

Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)

Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD

= 312.5 CAD/m³

Step 4: Calculate the freight charges for the shipment:

Freight charges = Total Volume x Freight rate in CAD

Freight charges = 1.9292 m³ x 312.5 CAD/m³

= 603.25 CAD

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Answer:

answer = 19.2

Step-by-step explanation:

48 = 24 + 1.25x

48 - 24 = 1.25x

24 = 1.25x

24/1.25 = x

19.2 = x

-6 yards

Step-by-step explanation:

6-12 = -6 yards

they lost a total of 6 yards

The expression 12 times the sum of the number v/u and 41 in the mathematical form will be 12(v/u + 41).

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs. Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Here, we have

Given:  v/u and 41.

We have to find 12 times the sum of a number.

The sum of v/u and 41 is v/u + 41, then 12 times this sum is written as below:-

= 12(v/u + 41)

Hence, the expression 12 times the sum of the numbers v and 41 in the mathematical form will be 12(v + 41).

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The given system of equations can be solved using LU decomposition. In this case, we would need to show the step-by-step calculations to find the specific values of x1, x2, and x3 using LU decomposition.

LU decomposition is a method that decomposes a square matrix into the product of a lower triangular matrix (L) and an upper triangular matrix (U). This decomposition allows us to efficiently solve systems of linear equations.

To solve the given system of equations using LU decomposition, we first decompose the coefficient matrix into LU form: A = LU. Then, we solve two sets of equations: Ly = b (where y is a vector) and Ux = y (where x is the solution vector).

By performing the LU decomposition and solving the two sets of equations, we obtain the values for x1, x2, and x3 that satisfy the given system.

In this case, we would need to show the step-by-step calculations to find the specific values of x1, x2, and x3 using LU decomposition. This process involves matrix operations such as row operations, pivoting, and forward/backward substitutions.

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Answer:

c (intercept) = -1     m (gradient) = 2

Step-by-step explanation:

The intercept is where the line crosses x, and the value is the value of y.

The gradient is how far it has covered and if you were to draw a graph it would be 2.

Slope (m) is 2 and  y - intercept (c) is -1

"The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers."

Given equation

y = 2x - 1

The given equation of a line in slope - intercept form is

y = mx + c

Where m is slope and c is the y - intercept

y = 2x - 1  is in slope - intercept form

By comparing the two equations

Slope m = 2 and y - intercept c = -1

Hence, Slope (m) is 2 and y - intercept (c) is -1

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Answer:

1. Amount of rain is the explanatory variable and yield of corn is the response variable.

Step-by-step explanation:

Explanatory Variable is the causal variable, which effects the other variable.

Response Variable is the resultant variable, which is effected by the other variable.

In this case, amount of rain effects the yield of corn (bushels per acre).

So, Amount of rain being causal effecting variable - is Explanatory Variable. Corn yield, being resultantly effected variable - is Response Variable.

Answer:

Two sets are equal, if they have exactly the same elements. Example: {a, c, t} = {c, a, t} = {t, a, c}, but {a, c, t} ≠ {a, c, t, o, r}. Example: {x : x is a letter in the word “book”} = {b, o, k}, but {b, o, k} ≠ {b, o, t}.

Step-by-step explanation:

Answer:

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Step-by-step explanation:

The image of the rectangle STUV after a reflection over the line y= –x is attached below.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)

We have to graph the image of the rectangle STUV after a reflection over the line y= –x

The points obtained after graphing ate,

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.

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Let A be the event that we choose an adult chaperone and let B be the event that we pick a male student. Then, we want to calculate the following probability.

where the symbol between A and B means the union of events, which could be understood as "or". Using the properties of probability, we have

where the symbol on the right, between A and B, is the intersection, which can be understood as "and". Since we are going to pick only one person, it is impossible that we pick an adult chaperona and a male student. So,

So we have

Now, we want to calculate P(A) and P(B).

To calculate the probability of each event, we first count the number of possibilities that the event is true.

Note that since we have 6 adult chaperones, we have 6 possibilites such that the event A is true. Now, to calculate the probability of A, we simply divide this number by the total number of people on the bus (which is 50). So we get

In the same manner, for event B, we have a total of 23 possibilities such that the event B is true. Then

Finally, by replacing this values in the original expression, we have

Answer:

x = 7

y = 13

Step-by-step explanation:

We are told that the numbers 1, 2, x, 11, y, 14 are in ascending order.

Therefore, x must be somewhere between 2 and 11, and y must be somewhere between 11 and 14.

\(\hrulefill\)

The median is the middle value of a data set when all the data values are placed in order of size.

There are 6 numbers in the data set. As this is an even number of data values, the median is the mean of the middle two data values, i.e. the mean of the numbers in 3rd and 4th position.

The two data values in 3rd and 4th position are x and 11.

Given the median is 9, we can set up the following equation and solve for x:

\(\begin{aligned}\dfrac{x+11}{2}&=9\\\\2 \cdot \dfrac{x+11}{2}&=2 \cdot 9\\\\ x+11&=18\\\\x+11-11&=18-11\\\\x&=7\end{aligned}\)

Therefore, the value of x is 7.

\(\hrulefill\)

The mean of a data set is the sum of the data values divided by the number of data values. Therefore, if the mean is 8, we can set up the following equation:

\(\dfrac{1+2+x+11+y+14}{6}=8\)

Substitute the found value of x into the equation, and solve for y:

\(\begin{aligned}\dfrac{1+2+7+11+y+14}{6}&=8\\\\\dfrac{y+35}{6}&=8\\\\6 \cdot \dfrac{y+35}{6}&=6 \cdot 8\\\\y+35&=48\\\\y+35-35&=48-35\\\\y&=13\end{aligned}\)

Therefore, the value of y is 13.

If a candy bar cost 95 cents which is 19 times the price of a piece of hard candy, then the price of hard candy is 5 cents

The cost of a candy bar = 95 cents

The cost of the candy bar is 19 times the price of a piece of hard candy

Assume that the cost of one hard candy is x

Then the equation will be

The cost of hard candy × 19 = The cost of a candy bar

Substitute the values in the equation

x × 19 = 95

Move the 19 to the right hand side of the equation

x = 95 / 19

Use the division

x = 5 cent

Therefore, the price of hard candy is 5 cent

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The probability that the painter sells more than 2 pieces of art is 0.8251.

The probability of the painter selling his art is P(S) = 16.26/100 = 0.1626

Since the painter painted 26 pieces of art, the number of trials, n = 26.

Let X be the random variable representing the number of pieces the painter sells. We need to find the probability that he sells more than 2 of them.

P(X > 2) = P(X = 3) + P(X = 4) + ... + P(X = 26)

Using the binomial probability formula, we have

P(X = x) = ⁿCₓ × pˣ × q⁽ⁿ⁻ˣ⁾

where ⁿCₓ = n!/x!(n - x)!

p = probability of success

q = probability of failure = 1 - p

We can substitute n, p, and q to find P(X = x) for each x, and then add them up.

\(P(X > 2) = P(X = 3) + P(X = 4) + ... + P(X = 26)\\P(X > 2) = 1 - P(X = 0) - P(X = 1) - P(X = 2)\\P(X > 2) = 1 - P(X < 2)\\P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\\P(X \leq 2) = 0.0047104 + 0.0379791 + 0.1321676\\P(X \leq 2) = 0.1748571\\P(X > 2) = 1 - 0.1748571\\P(X > 2) = 0.8251429\)

Rounding this to four decimal places, we get: P(X > 2) ≈ 0.8251. Therefore, the probability that the painter sells more than 2 pieces of art is 0.8251.

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Solving for k, we get: k = 4. The probability density function (PDF) of the random variable X is given by: f(x) = 4x^3, for x > 0.

The probability density function (PDF) of a random variable X describes the likelihood of the variable taking on different values. In this case, the PDF of the random variable X is given by f(x) = kx^3, where k is a constant.

To determine the value of the constant k, we need to ensure that the PDF satisfies the properties of a probability density function. The total area under the PDF curve must be equal to 1.

Since the PDF is defined over the interval (0, ∞), we can integrate the PDF over this interval and set it equal to 1 to find the value of k.

Integrating the PDF, we have:

∫[0,∞] kx^3 dx = 1.

Evaluating the integral, we get:

[kx^4 / 4] from 0 to ∞ = 1.

Since the upper limit is ∞, the integral diverges. However, we can still determine the value of k by considering the limit of the integral as x approaches ∞.

Taking the limit, we have:

lim(x→∞) [kx^4 / 4] - [k(0)^4 / 4] = 1.

As x approaches ∞, the value of kx^4 also approaches ∞. Therefore, the second term k(0)^4 / 4 becomes negligible.

Simplifying the equation, we find:

lim(x→∞) kx^4 / 4 = 1.

To make the limit equal to 1, we set k/4 = 1.

Solving for k, we get:

k = 4.

Therefore, the probability density function (PDF) of the random variable X is given by:

f(x) = 4x^3, for x > 0.

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Answer:

19.1 inches

Step-by-step explanation:

Circumference divide by diameter = 3.14 (C/d = 3.14)

60/d = 3.14

multiply both sides of the equation by d

60 = 3.14d

divide both sides by 3.14

d = 60/3.14

d = 19.108

d = 19.1

The expectation of the number of observations is equal to np, where n is the sample size and p is the probability of including an observation in the sample.

To find the expectation of the number of observations from a random sample, we need to use the concept of the expected value.

Let X1, X2, ..., Xn be random variables representing the observations from the sample, and let N be the random variable representing the number of observations.

The number of observations N can be defined as the sum of indicator random variables Ii, where Ii takes the value of 1 if the ith observation is included in the sample and 0 otherwise. Mathematically, we can write:

N = I1 + I2 + ... + In

The expectation of N can be calculated as follows:

E(N) = E(I1 + I2 + ... + In)

Since the expectation is a linear operator, we can write:

E(N) = E(I1) + E(I2) + ... + E(In)

Now, for each observation Xi, the probability that it is included in the sample is the same for all observations, and let's denote this probability as p.

Therefore, E(Ii) = P(Ii = 1) = p

Since the observations are assumed to be independent, the probability p is the same for all observations.

Hence, we can write:

E(N) = E(I1) + E(I2) + ... + E(In) = p + p + ... + p (n times)

E(N) = np

Therefore, the expectation of the number of observations is equal to np, where n is the sample size and p is the probability of including an observation in the sample.

Note that the value of p depends on the specific sampling scheme or design, and it is typically defined based on the sampling method used.

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Statistical and non-statistical methods are two broad categories used in data analysis and problem-solving. The three main parts of these methods include data collection and preparation, data analysis and interpretation, and drawing conclusions or making decisions based on the analysis.

In the first part, data collection and preparation, statistical methods involve systematic and rigorous data collection techniques, such as random sampling, surveys, experiments, or observational studies. Non-statistical methods may involve data collection through various means, such as expert opinions, personal experiences, or case studies. Both methods focus on ensuring the data is reliable, relevant, and representative of the population or problem under investigation.

The second part, data analysis and interpretation, involves applying appropriate statistical techniques or other analytical tools to extract meaningful information from the data. Statistical methods utilize various techniques like descriptive statistics, hypothesis testing, regression analysis, or multivariate analysis to uncover patterns, relationships, or trends in the data. Non-statistical methods rely on qualitative analysis, logical reasoning, or subjective interpretation to make sense of the data.

The third part, drawing conclusions or making decisions, involves using the results of the analysis to draw meaningful conclusions, make predictions, or make informed decisions. Statistical methods provide a quantifiable basis for decision-making, as they often provide measures of uncertainty and statistical significance. Non-statistical methods may rely on subjective judgment, personal expertise, or contextual considerations to make decisions or recommendations.

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The value of ln(1.5) given by a calculator is approximately 0.405. The approximation using the first 8 terms of the series is close, but not exact.

To approximate ln(1.5) using the series representation, we can calculate the sum of the first 8 terms of the series:

ln(1.5) ≈ ∑((-1)^(n-1) / n) * (1.5 - 1)^n

Let's compute the approximation:

n = 1: (-1)^(1-1) / 1 * (1.5 - 1)^1 = 1 * 0.5 = 0.5

n = 2: (-1)^(2-1) / 2 * (1.5 - 1)^2 = -1/2 * 0.5^2 = -0.125

n = 3: (-1)^(3-1) / 3 * (1.5 - 1)^3 = 1/3 * 0.5^3 = 0.0417

n = 4: (-1)^(4-1) / 4 * (1.5 - 1)^4 = -1/4 * 0.5^4 = -0.03125

n = 5: (-1)^(5-1) / 5 * (1.5 - 1)^5 = 1/5 * 0.5^5 = 0.00625

n = 6: (-1)^(6-1) / 6 * (1.5 - 1)^6 = -1/6 * 0.5^6 = -0.0009766

n = 7: (-1)^(7-1) / 7 * (1.5 - 1)^7 = 1/7 * 0.5^7 = 0.0001373

n = 8: (-1)^(8-1) / 8 * (1.5 - 1)^8 = -1/8 * 0.5^8 = -0.0000305

Sum of the first 8 terms: 0.5 - 0.125 + 0.0417 - 0.03125 + 0.00625 - 0.0009766 + 0.0001373 - 0.0000305 ≈ 0.3918242

Using a calculator, the value of ln(1.5) is approximately 0.4054651.

The approximation using the first 8 terms of the series is 0.3918242. Comparing it to the calculator approximation of 0.4054651, we can see that the approximation is close, but not exact. It is off by a small amount.

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The expected value of distribution A is 1 and distribution B is 3. The standard deviation for both distributions is the same which is 1.225. In conclusion, distribution B is better than distribution A.

Events with countable or finite outcomes are counted in a discrete probability distribution. This includes the probability values for the discrete random variable. The expected value for this type of distribution is calculated by E(X)=μ=ΣxP(x). And the standard deviation is calculated by σ=√(E(X²)-(E(X))²).

a) Expected value for the distributions A and B is calculated as follows,

The expected value for distribution A,

\(\begin{aligned}E(X)&=\sum x P(x)\\&= (0\times0.50)+(1\times0.20)+(2\times0.15)+(3\times0.10)+(4\times0.05)\\&=1\end{aligned}\)

The expected value for distribution B,

\(\begin{aligned}E(X)&=\sum x P(x)\\&= (0\times0.05)+(1\times0.10)+(2\times0.15)+(3\times0.20)+(4\times0.50)\\&=3\end{aligned}\)

b) The standard deviation for the distributions A and B is calculated as follows,

First, find E(X²) for distribution A and B to substitute in the standard deviation formula.

The  E(X²) for distribution A is,

\(\begin{aligned}E(X^2)&=\sum x^2P(x)\\&=(0^2\times0.50)+(1^2\times0.20)+(2^2\times0.15)+(3^2\times0.10)+(4^2\times0.05)\\&=2.5\end{aligned}\)

The  E(X²) for distribution B is,

\(\begin{aligned}E(X^2)&=\sum x^2P(x)\\&=(0^2\times0.05)+(1^2\times0.10)+(2^2\times0.15)+(3^2\times0.20)+(4^2\times0.50)\\&=10.5\end{aligned}\)

Then, the standard deviation for distribution A is,

\(\begin{aligned}\sigma_A&=\sqrt{2.5-1^2}\\&=1.225\end{aligned}\)

The standard deviation for distribution B is,

\(\begin{aligned}\sigma_B&=\sqrt{10.5-3^2}\\&=1.225\end{aligned}\)

Distribution A and B have the same standard deviation.

c) The standard deviation values are the same for both distributions.  But the expected value of distribution A is lesser than the expected value of distribution B. So distribution B looks better than distribution A.

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Answer:

12

Step-by-step explanation:

\(\sqrt{64}\) + \(\sqrt[3]{64}\)

= 8 + 4

= 12

Square root of 64 = \( \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}\)

Cube root of 64 = \( \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}\)

So,

Square root of 64 + Cube root of 64

\( = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}\)

12 is the answer of the question asked.

____________

Hope it helps.

RainbowSalt2222

Answer:

200

Step-by-step explanation:

50 for rent and 50 for insurance is 100 plus 100 to make them

Assuming she went to the theater no more than 8 times. The inequality best represents the number of movies she saw is: x + y ≤ 8.

The inequality that represent the number of movies is: x + y ≤ 8

Where:

x represent drama at the movie theater

y represnt comedies at the movie theater

≤ represent less than

8=Number of times

Therefore the inequality is: x + y ≤ 8.

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Answer:

c on edge

Step-by-step explanation:

because i took the test and got a 100