Solve x3= 27.
A = 13
B. x= 5.2
C. x=3
D. x=9

the Answer: t=18, - 18

E(U) = 4, which is an integer.

What is Linearity of expectation?

Linearity of expectation is a fundamental property of expected value that states that the expected value of a sum or difference of random variables is equal to the sum or difference of their individual expected values.

To find E(U), where U = 2X - Y - 4, we can use the properties of expected value.

First, let's find the expected values of 2X, Y, and 4 separately using the linearity of expectation:

E(2X) = 2E(X) = 2 * 6 = 12

E(Y) = 4 (given)

E(4) = 4

Now, let's calculate the expected value of U:

E(U) = E(2X - Y - 4)

Since expected value is a linear operator, we can rearrange and simplify the expression:

E(U) = E(2X) - E(Y) - E(4)

= 12 - 4 - 4

= 4

Therefore, E(U) = 4, which is an integer.

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Yes, the statement "if x is rational and y is irrational, then x + y is irrational" is true.

To understand why, let's break it down step by step:

1. First, let's define what it means for a number to be rational or irrational:
  - A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.
  - An irrational number is a number that cannot be expressed as the ratio of two integers.

2. Given that x is rational and y is irrational, we can express x and y as follows:
  - x = a/b, where a and b are integers and b is not zero.
  - y = c, where c is an irrational number.

3. Now, let's consider the sum x + y:
  - x + y = (a/b) + c

4. To prove that x + y is irrational, we'll assume the contrary, that is, x + y is rational. This means we can express x + y as the ratio of two integers:
  - x + y = p/q, where p and q are integers and q is not zero.

5. We can rewrite this equation as follows:
  - (a/b) + c = p/q

6. Rearranging the equation, we get:
  - (a/b) = (p/q) - c

7. Since (p/q) is a rational number and c is an irrational number, the right side of the equation (p/q) - c would be the difference between a rational and an irrational number.

8. However, the difference between a rational number and an irrational number is always irrational. Therefore, the right side of the equation is irrational.

9. This contradicts our assumption that (a/b) is rational, leading us to conclude that x + y must be irrational.

In conclusion, if x is rational and y is irrational, then x + y is always irrational.

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Step-by-step explanation:

x=-4.854 or x=1.854

hope this helps

Answer:

C edge 2020

Step-by-step explanation:

i got it right on the practice.

Answer:

2.5 is the dividend and 0.5 is the divisor.

Step-by-step explanation:

Happy to help

Answer:

9.0×10^3K/moles

Step-by-step explanation:

ionization energy of these electrons = Energy of photons - kinetic energy of the electrons

Given

Kinetic energy of electron = 1.34×10^5

Energy of photons = 1.43 x 105 kJ/mole

Required

Ionization energy of these electrons

Ionization energy of these electrons = 1.43×10^5-1.34×10^5

ionization energy of these electrons = 0.09×10^5 kJ/mol

= 9.0 × 10^3 kJ/mol

Hence the ionization energy of these electrons is 9.0×10^3K/moles

Answer:

y = − 4 +2x/3

Step-by-step explanation:

Answer:

D,B,A,

Step-by-step explanation:

Hope that helped

hiii

I think the answers are options a,b&d

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You may not cross a single broken white or yellow line, when doing so would interfere with traffic unless it is safe to do so and without interfering with traffic.  

The yellow line on the road serves as a barrier between opposing lanes of traffic as a traffic safety measure. It is intended to alert drivers to the fact that they are moving in the opposite directions and should keep a safe distance while driving.

The yellow line is typically placed in the centre of the road to indicate the separation of traffic. On highways and interstates, the yellow line is frequently used to mark the separation between two lanes of traffic moving in the same direction.

Drivers should always follow the yellow line and never cross it because doing so can be risky and result in accidents. The yellow line can also be used to show when passing other vehicles is dangerous.

On the driver's side, it is prohibited to pass other cars when a yellow line is interrupted by a solid line. Overall, the yellow line is an important safety measure for drivers to be aware of and obey when on the road.

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Answer:

Julie has $11.51 left.

Step-by-step explanation:

We know that Julie has $20.  She spent $1.99 on package of trading cards and $6.50 for lunch.  When added this is equal to $8.49.

Now we have to figure out how much she has left by subtracting $20 from $8.49 and we get $11.51.  Therefore, $11.51 is our answer.

The minimum acceptable rate of 1 sigma of quality production is d) 68.

This corresponds to a 68% acceptance level, which is equivalent to 1 standard deviation in a normal distribution.

A 1 sigma level corresponds to a standard deviation that captures approximately 68% of the data within a normal distribution. This means that if a process is operating at a 1 sigma level, it has a 68% acceptance rate, and the remaining 32% of the data falls outside the acceptable range

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Answer:

$50

Step-by-step explanation:

Hello There!

We are given that for 1 hour of work 250 dollars is charged and for 3 hours of work 350 dollars is charged

This could also be represented in two points (1,250) and (3,350)

The question wants us to find the hourly charge rate (slope)

we can easily find the slope ( hourly charge rate ) by using the slope formula

\(slope=\frac{y_2-y_1}{x_2-x_1}\)

we have our two points so all we need to do is plug in the values (remember y values go on top and x values go on the bottom.)

\(slope=\frac{350-250}{3-1} \\350-250=100\\3-1=2\\slope=\frac{100}{2} or50\)

So we can conclude that the hourly charge rate is $50

In 4-adjacency, a path between pixel p and q exists if they are directly connected horizontally or vertically. In 8-adjacency, a path exists if they are directly connected horizontally, vertically, or diagonally. In m-adjacency, the existence of a path depends on the specific definition of m-adjacency being used.

In 4-adjacency, pixel p and q can be connected by a path if they are adjacent to each other horizontally or vertically, meaning they share a common side. This concept considers only immediate neighboring pixels and does not take into account diagonal connections. Therefore, the existence of a path between p and q depends on whether they are directly adjacent horizontally or vertically.

In 8-adjacency, pixel p and q can be connected by a path if they are adjacent to each other horizontally, vertically, or diagonally. This concept considers all immediate neighboring pixels, including diagonal connections. Thus, the existence of a path between p and q depends on whether they are directly adjacent in any of these directions.

M-adjacency refers to a more general concept that allows for flexible definitions of adjacency based on a specified parameter m. The exact definition of m-adjacency can vary depending on the context and requirements of the problem. It could consider a wider range of connections beyond immediate neighbors, such as pixels within a certain distance or those satisfying specific conditions. Therefore, the existence of a path between p and q using m-adjacency would depend on the specific definition and constraints imposed by the chosen value of m.

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Answer:

Step-by-step explanation:

gnag  dsewhqjhnqrhjwqkhjqrkhwq

P(x)=ax⁵+bx⁴+cx³+12 is the polynomial which has 4 terms and vertical axis at y=12 and the degree is 5

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The standard form of a polynomial equation with a leading degree is 5 is expressed as P(x)=ax⁵+bx⁴+cx³+dx+e

Since the polynomial should have only 4 terms, the standard form of the equation will be P(x)=ax⁵+bx⁴+cx³+d

d is the constant

Since the graph of the Polynomial crosses the vertical axis at y = 12, hence the constant value "d" will be 12.

Substituting the constant value, the required equation of the polynomial will be expressed as P(x)=ax⁵+bx⁴+cx³+12

Hence, P(x)=ax⁵+bx⁴+cx³+12 is the polynomial which has 4 terms and vertical axis at y=12 and the degree is 5

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Answer:

(2 - a) (x² - y)

Step-by-step explanation:

2x² + ay - ax² - 2y

=> 2x² - 2y + ay - ax²

=> 2 (x² - y) + -a (-y + x²)

=> 2 (x² - y) + -a (x² - y)

=> (2 - a) (x² - y)

The acceleration is 2 m/s²

The first step is to write out the parameters given in the question

Acceleration is the rate at which an object changes its velocity over time.

The formula to calculate the acceleration is v²= u² + 2as10²= 0² + 2(a)(25)100= 2a(25)100= 50a

Divide both sides by the coefficient of a which is 50

100/50 =  50a/50

a= 2

Hence the acceleration of the object is 2 m/s²

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Answer:

52÷4=13 cm

the area: 13×13=169\(cm^{2}\)

Step-by-step explanation:

The associated direct utility function for the indirect utility function v(P1, P2) = -a * log(P1) - b * log(P2) is given by u(X1, X2) = X1^a * X2^b, where X1 and X2 are the quantities consumed of goods 1 and 2, respectively, and a and b are parameters representing the consumer's preferences.

The direct utility function represents the consumer's preferences and measures the level of satisfaction or utility associated with different combinations of goods. To find the associated direct utility function for the given indirect utility function v(P1, P2), we need to invert the indirect utility function and express it in terms of quantities consumed.

In this case, the indirect utility function is v(P1, P2) = -a * log(P1) - b * log(P2). To obtain the associated direct utility function, we need to solve for the quantities consumed, X1 and X2, in terms of prices and preferences. By exponentiating the logarithmic terms and rearranging the equation, we find that X1 = (P1^(-a)) * (P2^(-b)).

Therefore, the associated direct utility function is u(X1, X2) = X1^a * X2^b, where X1 and X2 are the quantities consumed of goods 1 and 2, respectively, and a and b are parameters representing the consumer's preferences. This direct utility function captures the consumer's utility as a function of the quantities consumed.

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Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

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Answer:

1a. 100, 1b. 22

Step-by-step explanation:

1a. Given information from the question:

\( \frac{b}{46} = \frac{50}{23} \\ 23b = (50)(46) \: (cross \: multiply) \\ b = \frac{50 \times 46}{23} \\ = 50 \times 2 \\ = 100\)

1b. Given information from the question:

\( \frac{34}{d} = \frac{68}{44} \\ 68d = (34)(44) \: (cross \: multiply)\\ \\ d = \frac{34 \times 44}{68} \\ d = \frac{44}{2} \\ = 22\)

Answer:

• \(b = \bf 100\)

• \(d = \bf 22\)

Step-by-step explanation:

To solve these questions, we need to rearrange the equations to make the unknown variables the subject of the equations.

1a.

\(\frac{b}{46} = \frac{50}{23}\)

⇒ \(b = \frac{50 \times 46}{23}\)             [multiplying both sides by 46]

⇒ \(b = \bf 100\)

1b.

\(\frac{34}{d} = \frac{68}{44}\)

⇒ \(34 = \frac{68 \times d}{44}\)               [multiplying both sides by d]

⇒ \(34 \times 44 = 68 \times d\)    [multiplying both sides by 44]

⇒ \(\frac {34 \times 44}{68} = d\)               [dividing both sides by 68]

⇒ \(d = \bf 22\)

Answer:

x=24......

Step-by-step explanation:

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The 98% confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups 30-39 years and 55-64 years is approximately -0.118 to -0.051.

The formula for the confidence interval for the difference of two proportions is:

CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 and p2 are the proportions, n1, and n2 are the sample sizes, and Z is the z-score corresponding to the desired confidence level.

For the age group 30-39 years, the proportion of seat-belt users is 18% (0.18) out of 1600 drivers, which gives us p1 = 0.18 and n1 = 1600.

For the age group 55-64 years, the proportion of seat-belt users is 485 out of 1800 drivers, which gives us p2 = 485/1800 = 0.2694 and n2 = 1800.

Using a z-table or a statistical calculator, the z-score corresponding to a 98% confidence level is approximately 2.33.

Substituting the values into the formula, we can calculate the confidence interval:

CI = (0.18 - 0.2694) ± 2.33 * sqrt((0.18 * (1 - 0.18) / 1600) + (0.2694 * (1 - 0.2694) / 1800))

After performing the calculations, the 98% confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups 30-39 years and 55-64 years is approximately -0.118 to -0.051.

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Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.

Answer:

its the 3rd one

Step-by-step explanation:

because x=4 and y=28 so 4 times 7 =28

Answer:The sum will close to 1.1 is the closest number to the sum

Step-by-step explanation:

A coordinate grid with one line that passes through the points 0,1 and 4,0 and another line that passes through the points 0,-1 and 1,-3.

The system of linear equations given is:

y = (-1/3)x + 1

y = -2x - 3

We can determine the solution to this system by finding the point of intersection of the two lines represented by these equations.

By comparing the coefficients of x and y in the equations, we can see that the slopes of the lines are different.

The slope of the first line is -1/3, and the slope of the second line is -2. Since the slopes are different, the lines will intersect at a single point.

To find the point of intersection, we can set the two equations equal to each other:

(-1/3)x + 1 = -2x - 3

By solving this equation, we find that x = 3.

Substituting this value back into either equation, we can find the corresponding y-value.

Using the first equation, when x = 3, y = (-1/3)(3) + 1 = 0.

Therefore, the point of intersection is (3,0), which lies on both lines.

The graph that shows the solution to the system of linear equations is the one with a coordinate grid where one line passes through the points (0,1) and (4,0), and another line passes through the points (0,-1) and (1,-3). This graph represents the intersection point (3,0) of the two lines, which is the solution to the system of equations.

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Answer: d

Step-by-step explanation:

because after you multiply x 3 times you can use the 3 would be the square root of the number you got and a complex root you can't do that

For example: 9 x 3 = 27  the square root of 27 is 5.2 and that's is rounded