Which numbers are Irrational? Select all that apply.

A. √36

B. √15

C. √64

D. √57

E. √8

The statements that are true of medians in even and odd distributions are:

An even quantity of data values will forever maintain a pair of central numbers. In these circumstances, the middle numbers are attained by calculating the average among the two numbers amidst the set of data. As an illustration, in the series {1, 2, 3, 4}, the dual numeral at the core are 2 and 3.

The mean value between these integers is (2+3)/2=2.5, ultimately making it the center number of this cluster of data. Conversely, an odd number of data inserts shall eternally acquire only one midpoint, simply the figure located within the dataset's nucleus.

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Answer:

Circumference of the smaller circle = 2.1x units

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?

Radius of the larger circle OB = x units

Radius of the smaller circle OA = y units

Circumference of larger circle = 2πx units

Circumference of smaller circle = 2πy units

Since circumference of larger circle is 3 times the circumference of smaller circle,

2πx = 3(2πy)

2πx = 6πy

x = 3y

y = \(\frac{x}{3}\)

Therefore, circumference of the smaller circle = \(2\pi (\frac{x}{3})\) units

                                                                             = \(\frac{2\pi x}{3}\) units

                                                                             = 2.094x

                                                                             ≈ 2.1x

Circumference of the smaller circle circle = 2.1x units

(a)The two descriptive statistics that can be cited are as follows: A. Of those investment managers surveyed, 44% were bullish or very bullish on the stock market.

B. Of those investment managers surveyed, 23% selected health care as the sector most likely to lead the market in the next 12 months.

(b)Inference about the population of all investment managers concerning the average return expected on equities over the next 12 months:By looking at the descriptive statistic given, we can say that the average expected return over the next 12 months for equities was 11.3%. Therefore, the inference about the population of all investment managers concerning the average return expected on equities over the next 12 months would be that most investment managers expect a return of about 11.3% on equities over the next 12 months.

(c)Inference about the length of time it will take for technology and telecom stocks to resume sustainable growth:By looking at the descriptive statistic given, we can say that the managers' average response when asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth was 2.3 years. Therefore, the inference about the length of time it will take for technology and telecom stocks to resume sustainable growth would be that investment managers believe it will take about 2.3 years for technology and telecom stocks to resume sustainable growth.

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The given linear system can be represented as a matrix equation:

A * X = B

where `A` is the coefficient matrix, `X` is the variable matrix, and `B` is the constant matrix.

The augmented matrix for the system is:

[-6 1 4 -2 | 1]

Using Gaussian elimination or row reduction, we can transform the augmented matrix to its row-echelon form:

[1 -1/6 -2/3 1/3 | -1/6]

[0 1 2/3 -1/3 | 1/6]

[0 0 0 0 | 0 ]

This row-echelon form implies that the system has a dependent variable since the third row consists of all zeros. In other words, there are infinitely many solutions to the system. The dependent variable, denoted as `x3`, can be expressed in terms of free parameters `s1` and `s2`.

Therefore, the set of solutions to the given linear system is:

x1 = -1/6 + (2/3)s1 - (1/3)s2

x2 = 1/6 - (2/3)s1 + (1/3)s2

x3 = s1

x4 = s2

where `s1` and `s2` are arbitrary real numbers that serve as parameters. These equations represent the general form of the solution, accounting for the infinite possible solutions.

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Answer:

two points

Step-by-step explanation:

Complete the sentence. The intersection of three line segments can be two points.​

The rate of change of the mass of salt in the tank is described by the option Odm/dt = 15-(m/100). The following is a detailed solution to the problem:

a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved.

Pure water enters the tank at the rate of 10 liters per minute.

The solution is kept thoroughly mixed and is drained from the tank at the same rate. If m is the mass of salt in the tank at time t, then we have to determine the rate of change of the mass of salt in the tank.

The concentration of salt initially in the tank = 15 kg/ 1000 L = 0.015 kg/L.

Concentration of salt at any time t = m/(1000+10t) kg/L (since we are adding pure water at a rate of 10L per minute).

Let the rate of change of the mass of salt be given by Odm/dt.

Now we apply the mass balance equation to salt to find the rate of change of mass of salt in the tank.

From mass balance: Rate of accumulation = Rate of input - Rate of output

Rate of accumulation of salt in the tank = d(m)/dt

Rate of input of salt = 0

Rate of output of salt = (Concentration of salt in the tank) x Rate of output= (m/(1000+10t)) x 10

We now have:

Odm/dt = 0 - [(m/(1000+10t)) x 10]= - (m/ (100 + t)) kg/min

Odm/dt = - m/ (100 + t) kg/min

We can conclude that the option Odm/dt = 15-(m/100) describes the rate of change of the mass of salt in the tank. As the salt dissolves in the tank, the rate of accumulation of salt in the tank decreases and becomes zero when the solution becomes saturated. When this happens, the rate of input of salt will be equal to the rate of output of salt, and there will be no net accumulation of salt.

The rate of change of the mass of salt will be negative when the mass of salt is decreasing and will be positive when the mass of salt is increasing.

This occurs when salt is being added to the tank or when the solution is not yet saturated with salt.

The rate of change of the mass of salt in the tank will be zero at equilibrium.

In conclusion, the rate of change of the mass of salt in the tank is given by the option Odm/dt = 15-(m/100).

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Answer:

4

Step-by-step explanation:

revenue has to be greater than cost for a profit

revenue minus cost = profit

2x^2 – 20x + 70 - (–x^2 + 5x + 18) =

2x^2 – 20x + 70 + x^2 - 5x - 18 =

3x^2 – 25x + 52 ≤ 0

(x - 4) (3x - 13)  ≤ 0

x ≤ 4

x ≤ 13/3

since its multiple choice you can enter one of the answers where the x is to get the answer

if you don't know what the question is and are short on time this may help

again:

revenue has to be greater than cost for a profit

revenue minus cost = profit

cost is 2x^2 – 20x + 70

revenue is –x^2 + 5x + 18

cost is

2(4)^2 – 20(4) + 70 =

32-80+70 =

102-80 =

22

revenue is

–x^2 + 5x + 18

–(4)^2 + 5(4) + 18

-16+20+18

-16+38

22

--------------------------------

cost is

2(5)^2 – 20(5) + 70 =

20

revenue is

–(5)^2 + 5(5) + 18

18

-------------------------------------

cost is

2(20)^2 – 20(20) + 70 =

470

revenue is

–(20)^2 + 5(20) + 18

-282

------------------------------

cost is

2(22)^2 – 20(22) + 70 =

598

revenue is

–(22)^2 + 5(22) + 18

-356

-----------------------------------------

cost is

2(3)^2 – 20(3) + 70 =

28

revenue is

–(3)^2 + 5(3) + 18

24

-------------------------------------

cost is

2(2)^2 – 20(2) + 70 =

38

revenue is

–(2)^2 + 5(2) + 18

24

Answer:

Step-by-step explanation:

from cosines theorem:

t² = 11² + 14² - 2•11•14•cos87°

t² = 121 + 196 + 308•0.05236

t² = 333.12688

t = √333.12688

t = 18.2517... ≈ 18.3

The cost of each music video is $1.99.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given total cost of 2 music videos, a TV series and a movie is $42.95

and TV series cost 2 times as much as the movie,

cost of the movie = $12.99

cost of  TV series = 2*12.99

cost of  TV series = $25.98

let the cost of a video be x

so according to condition,

2x + cost of  TV series + cost of the movie = $42.95

2x + 25.98 + 12.99 = 42.95

2x = 42.95 - 25.98 - 12.99

2x = 3.98

x = 3.98/2

x = $1.99

Hence the cost of a music video is $1.99.

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Answer:

8

Step-by-step explanation:

a. We can use the following equation y = b₀ + b₁ * x₂

b. The p-value indicates the significance of the relationship.

c. We can use the following equation y = b₀ + b₁ * x₃

d. Similar to part (b), we need to analyze the statistical measures such as R-squared and p-value to determine if the equation developed in part (c) provides a good fit for the observed data.

e. We can use the following equation y = b₀ + b₁ * x₁ + b₂ * x₂ + b₃ * x₃

f. A p-value below the significance level (0.05) would indicate a significant relationship.

g. The results and interpretation of this test can provide insights into the contribution of the repairperson to the overall model.

The correlation coefficient illustrates how closely two variables are related to one another. This coefficient's range is from -1 to +1. This coefficient demonstrates the degree to which the observed data for two variables are significantly associated.

a) To develop the estimated simple linear regression equation to predict the repair time (y) given the type of repair (x₂), we can use the following equation:

y = b₀ + b₁ * x₂

where y represents the repair time and x₂ is the type of repair (0 for mechanical, 1 for electrical).

b) To determine if the equation developed in part (a) provides a good fit for the observed data, we need to analyze the statistical measures such as R-squared and p-value. R-squared measures the proportion of variance in the dependent variable (repair time) explained by the independent variable (type of repair). The p-value indicates the significance of the relationship.

c) To develop the estimated simple linear regression equation to predict the repair time given the repairperson who performed the service (x₃), we can use the following equation:

y = b₀ + b₁ * x₃

where y represents the repair time and x₃ is the repairperson (0 for Bob Jones, 1 for Dave Newton).

d) Similar to part (b), we need to analyze the statistical measures such as R-squared and p-value to determine if the equation developed in part (c) provides a good fit for the observed data.

e) To develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service (x₁), the type of repair (x₂), and the repairperson (x₃), we can use the following equation:

y = b₀ + b₁ * x₁ + b₂ * x₂ + b₃ * x₃

where y represents the repair time, x₁ is the number of months since the last maintenance service, x₂ is the type of repair, and x₃ is the repairperson.

f) To test whether the estimated regression equation developed in part (e) represents a significant relationship between the independent variables and the dependent variable, we can perform a hypothesis test using the F-test or t-test and examine the p-value associated with the test. A p-value below the significance level (0.05) would indicate a significant relationship.

g) To determine if the addition of the independent variable x₃ (repairperson) is statistically significant, we can perform a hypothesis test specifically for the coefficient associated with x₃. The p-value associated with this coefficient will indicate its significance. A p-value below the significance level (0.05) would suggest that the repairperson variable has a statistically significant effect on the repair time. The results and interpretation of this test can provide insights into the contribution of the repairperson to the overall model.

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Answer:

REFLECTION:

1.) The thing/s that I like most about our topic is/are getting to work with a more difficult aspect of numbers.

2.) The thing/s that I hate about our topic is/are dealing with the negative numbers .

3.) In doing our activity, I was able to use the number line to solve complicated problems.

Step-by-step explanation:

A cheerful teen willing to help,

stay salty,

stay positive...

Answer:

30% gain

Step-by-step explanation:

$30 for 10 = $3 each

$46.80 for 12 = $3.9 each

percentage change = (final price- initial price)/inital price  *100

3.9-3 = 0.9

0.9/3 = 0.3

0.3 x 100 = 30

so gain of 30%

Answer:

\(12-t+6t^2\)

Step-by-step explanation:

Find the one with the highest exponent 2.

\(12-t+6t^2\) is the only one

Answer:

h(t) = 12 -t+6t^2

Step-by-step explanation:

A quadratic function has the highest power of the variable as 2 and must have a power of 2

h(t) has a power of 3

g(t) has a power of 3

k(t) has a power of 4

The number of full revolutions that Liz's front wheel completed is  16,037 full revolutions.

First, we need to find the circumference of the wheel. The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the radius of the wheel is 54 cm, so we can plug that into the formula:

C = 2π(54 cm) = 108π cm

Next, we need to convert the total distance traveled from kilometers to centimeters, so that we can divide by the circumference of the wheel in centimeters.

There are 100,000 centimeters in a kilometer, so we can multiply the distance traveled in kilometers by 100,000 to get the distance in centimeters:

54.82 km * 100,000 cm/km = 5,482,000 cm

Now we can divide the total distance traveled by the circumference of the wheel to find the number of full revolutions:

5,482,000c m / 108π cm = 16,037.35

So, Liz's front wheel completed approximately 16,037 full revolutions.

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We have proved that a'Σaa'M ~ χm^2.To prove the result, let's follow the given hint:

Given:

M ~ Wp(Σ, m), where M is a p × p random matrix

a ≠ 0 is a constant vector

We need to show that:

a'Σaa'M ~ χm^2

Step 1:

Note that M = Σ^(1/2)ZΣ^(1/2), where Z = [Z1, Z2, ..., Zm] is a matrix of i.i.d. multivariate normal random vectors.

Step 2:

For any vector a, we can write:

a'Ma = a'Σ^(1/2)ZΣ^(1/2)a

Step 3:

Let's define B = Σ^(-1/2)ZΣ^(1/2)a. Since Z and a are constants, B is also a constant vector.

Step 4:

Now, we can express a'Ma as:

a'Ma = a'Σ^(1/2)Σ^(-1/2)ZΣ^(1/2)a = a'Σ^(1/2)BB'aΣ^(1/2)

Step 5:

Notice that Σ^(1/2)BB'Σ^(1/2) is a symmetric matrix. Therefore, we can diagonalize it as:

Σ^(1/2)BB'Σ^(1/2) = PDP'

Where P is an orthogonal matrix and D is a diagonal matrix containing the eigenvalues of Σ^(1/2)BB'Σ^(1/2).

Step 6:

Let C = Σ^(-1/2)P'. Then, we have:

Σ^(1/2)BB'Σ^(1/2) = CC'

Step 7:

Substituting back into the expression for a'Ma, we get:

a'Ma = a'CC'a = (Ca)'(Ca)

Step 8:

Let Y = Ca. Then, Y is a p-dimensional vector.

Step 9:

Finally, we can express a'Ma in terms of Y as:

a'Ma = Y'Y

Step 10:

Since Y is a linear combination of multivariate normal random variables, Y follows a multivariate normal distribution.

Step 11:

Since Y is a p-dimensional vector and a'Ma is a scalar, a'Ma ~ χm^2.

Therefore, we have proved that a'Σaa'M ~ χm^2.

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The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

We have,

Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.

Here are a few potential effects to consider:

Increased purchasing power:

When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.

As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.

A shift in consumer preferences:

With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.

This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.

Price sensitivity:

While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.

As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.

Employment and production costs:

An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.

To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.

These factors could impact the overall supply of clothes and potentially influence prices.

Thus,

The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.

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Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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Answer:

Given a figure that is broken into a rectangle and triangle.

The dimensions of the rectangle are:

Base : 5 ft

Height : 1/3 ft

The dimensions of the triangle are :

Base : 3 upon 2/3 ft

Height : 2 ft

The area of the figure calculated below :-

Area of rectangle + Area of triangle

Area of rectangle + Area of triangleLB + 1/2BH

(5×1/3) + (1/3+3upon2/3×2)

The result is simplified below :-

5/3+11/3

5+11/3

16/3 ft

51/3 ft square.

The area of the figure is 5 and one third square feet.

Answer:

5 1/3

Step-by-step explanation:

Answer:

6+7x

Step-by-step explanation:

Answer:

The first answer

Step-by-step explanation:

Answer:

1. What number plus 9 equals 18

Step-by-step explanation:

Let's write each question as an algebraic equation.

1: What number plus 9 equals 18? \(x + 9 = 18\)

2: What number minus 18 equals 9? \(x - 18 = 9\)

3: What number is 9 more than 18? \(x = 9 + 18\)

4: What number plus 18 equals 9? \(x + 18 = 9\)

Therefore, the answer is What number plus 9 equals 18.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

y=−2x+5

Step-by-step explanation:

y=mx+b

The probability values  of the Poisson distribution are P(y ≤ 2) = 0.423 and P(y = 3) = 0.140

Probability 1

The given parameters here are:

P(y ≤ 2) when λ=3

The probability of a Poisson distribution is represented as

P(x) = λˣe⁻λ/x!

In this case,

x = y ≤ 2

This means that

y = 0, 1 and 2

So, we have

P(y ≤ 2) = P(0) + P(1) + P(2)

This gives

\(P(y \le 2) = \frac{3^0 \times e^{-3}}{0!} + \frac{3^1 \times e^{-3}}{1!} +\frac{3^2 \times e^{-3}}{2!}\)

Evaluate

\(P(y \le 2) = \frac{1 \times e^{-3}}{1} + \frac{3 \times e^{-3}}{1} +\frac{9 \times e^{-3}}{2}\)

Solving further, we have

P(y ≤ 2) = 0.050 + 0.149 +0.224

P(y ≤ 2) = 0.423

Probability 2

The given parameters here are:

P(y = 3) when λ = 5

The probability of a Poisson distribution is represented as

P(x) = λˣe⁻λ/x!

In this case,

x = y = 3

This gives

P(y = 3) = 5³ * e⁻⁵/3!

Evaluate

P(y = 3) = 125 * e⁻⁵/6

Solving further, we have

P(y = 3) = 0.140

Hence, the probability is 0.140

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Answer:

58 m

Step-by-step explanation:

The correct answer is 58.

To get the perimeter you add all the sides of the image, however, you are missing 2 values from the image.

If you make the shape into a square where all opposite sides are the same length, then you will see that one missing length is 6 m =(10m-4m).

The other missing number is 12 m which is base of 19 m - 7m that you are given on the top.

So you add the measurements (going clockwise starting at the top, 7+6+12+4+19+10=58 m

Answer:

  58 m

Step-by-step explanation:

You want the perimeter of the L-shaped figure shown.

The perimeter is the sum of the side lengths. Here, a couple of lengths are missing from the diagram, but that doesn't prevent us finding the perimeter.

The horizontal lengths at the top have the same total length as the length at the bottom marked 19 m. This means the sum of all of the horizontal lengths is ...

  2 × 19 m = 38 m

The vertical lengths at the right side have the same total length as the vertical length at the left side, marked 10 m. This means the sum of all of the vertical lengths is ...

  2 × 10 m = 20 m

The perimeter is the sum of the horizontal and vertical lengths:

  P = 38 m + 20 m = 58 m

The perimeter of the figure is 58 m.

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The finance charge on a $15,820 car loan if monthly payments were $325 for 60 months is: $3,680.

The total amount paid over 60 months is:

Total amount paid = $325/month x 60 months

Total amount paid = $19,500

The amount of interest paid is:

Amount of interest = $19,500 - $15,820

Amount of interest = $3,680

Therefore, the finance charge on the car loan is $3,680.

Therefore the finance charge is $3,680.

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

27

Step-by-step explanation:

2x+3x+45=180

5x=135

x=27

Answer:

Reflection across x = -5