Differentiate implicitly to find the first partial derivatives of z.
a) x^2 + 2yz + z^2 = 1
b) e^xz + xy = 0

The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

Learn more about sampling distribution

brainly.com/question/30007465

#SPJ4

The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

The mathematical model that best fits the given data is option : y = 82.3 - 8.275x.

To construct a scatterplot and determine the mathematical model that best fits the given data, we will plot the points and analyze the trend.

Given Data:

x: 4, 8, 12, 16, 20

y: 40, 20, -11, -37, -97

Let's plot these points on a scatterplot:

(x, y) points:

(4, 40)

(8, 20)

(12, -11)

(16, -37)

(20, -97)

After plotting the points, we can analyze the trend in the data.

By observing the scatterplot, it is clear that a linear or quadratic model would not fit the data well since the points do not follow a straight line or a parabolic curve.

Next, we can try the logarithmic, exponential, and power models to see if any of them fit the data better.

Using a calculator or computer to perform the regression analysis, we find that the regression equation with the highest R² value is:

y = 82.3 - 8.275x

This equation corresponds to option : y = 82.3 - 8.275x

The regression equation represents a linear model that best fits the given data. The R² value indicates how well the model explains the variability in the data, and in this case, the linear model provides the highest R² value compared to the other models.

It's important to note that the specific values of the coefficients in the regression equation may vary slightly depending on the calculator or software used for the analysis. However, the overall best-fit model remains the same.

For more such questions on mathematical model

https://brainly.com/question/28592940

#SPJ8

Answer:

c

Step-by-step explanation:

2.34 to 3.34 is 1hr

3.34 plus half an hour is 4.04 plus 13 mins

Answer:

y = 16

Step-by-step explanation:

From the pattern in the table we can see that x to the power of two results in y (2.5 x 2.5 = 6.25, 9.4 x 9.4 = 88.36, etc.) This means that 4 x 4 = 16, which is the value of y.

Answer:

16

Step-by-step explanation:

Plato/Edmentum

Answer:

0.4

step-by-step explanation

5x times 3 = 7 times 2x-4

first, you divide both sides by 2x

2.5x times 3 = 7-4

then, divide both sides by three

2.5x = 1

lastly, divide both sides by 2.5

x = 0.4

Answer:

10 Apples in each bowl or 10 1/3 but if you need leftover 1 apple left over

Step-by-step explanation:

30/3=10 31/3=10 1/3

Answer:

10 would be in each bowl and 1 apple would be left over

Step-by-step explanation:

To find how many apples will be in each bowl, you need to divide 31 by 10 which gives you 3.1. However, because you can't split the apple there will be 3 apples in each bowl. This also means that 1 apple will be left over. Hope this helps :)

Answer:

7

Step-by-step explanation:

Do addition first, so 30 plus 2, and then subtract, 32 minus 25. It is seven.

Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

Christina will need 220 feet of fence to enclose her yard.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

To solve this, we need to calculate the perimeter of the rectangular yard:

Perimeter = 2 × (Length + Width)

Plugging in the given dimensions:

Perimeter = 2 × (60 ft + 50 ft)

Perimeter = 2 × (110 ft)

Perimeter = 220 ft

Christina will need 220 feet of fence to enclose her yard.

Read more about perimeter here:

https://brainly.com/question/19819849

#SPJ1

Christina wants to fence in her rectangular yard. The length of her yard is 60 feet, and the width is 50 feet. How many feet of fence will she need to enclose the entire yard?

Answer: SERCA DE DOO SA LOL E

Step-by-step explanation: I DONT SPEAK UR LANGUAGE :)

(a)  P(3, -8), Q(1, -12)

(b)

(i)  x = -1, 4

(ii)  x = 1, 2

(c) Drawn Below, refer to the red line. Equation: x = 1.5

Given Equation's:

Part A

Coordinates of points: P(3, -8), Q(1, -12)

Part B

From the graph identify:

(i) 2x² - 6x - 8 = 0       || Solution: x = -1, 4

(ii) 2x² - 6x = -4          || Solution: x = 1, 2

Part C

Symmetry of a parabola is at the middle, dividing the curve in equal parts.

Equation: x = 1.5

The solution of the system of equations using Cramer's rule is x = 37/39 and y = 9/39.

The solution of the system of equations using Cramer's rule is calculated as follows;

The given equations are as follows;

9x - 2y = -9

-3x - 8y = 1

The determinant of the coefficient matrix is calculated as;

D = [9      -2]

      [-3     -8]

D = -8(9) - (-3 x - 2)

D = -72 - 6 = -78

The x coefficient is calculated as;

Dx = [-2      -9]

       [ -8       1]

Dx = -2(1) - (-8 x -9)

Dx = -2 - 72 = -74

The y coefficient is calculated as;

Dy = [9      -9]

       [ -3       1]

Dy = 9(1) - (-3 x -9)

Dy = 9 - 27 = -18

The x and y values is calculated as;

x = Dx/D  = -74/-78 = 74/78 = 37/39

y = Dy/D = -18/-78 = 18/78 = 9/39

Learn more about Cramer's rule here: https://brainly.com/question/10445102

#SPJ1

a) A symbol with a frequency of at least 0.4 will never be encoded with two or more bits. - True

b) A symbol with a frequency of at least 0.5 will never be encoded with two or more bits. - False

c) If all symbol frequencies are less than 0.33, all symbols will be encoded with at least two bits. - False

d) If all symbol frequencies are less than 0.5, all symbols will be encoded with at least two bits. - True

a) The Huffman greedy algorithm assigns shorter codes to symbols with higher frequencies. Therefore, a symbol with a frequency of at least 0.4 will never be encoded with two or more bits because it has a higher frequency and will be assigned a shorter code.

b) This statement is false. The Huffman greedy algorithm does not guarantee that a symbol with a frequency of at least 0.5 will always be encoded with a single bit. The encoding depends on the distribution of frequencies and the construction of the Huffman tree.

c) This statement is false. If all symbol frequencies are less than 0.33, it is possible that some symbols will be encoded with a single bit if they have a high frequency, while others may be encoded with more than two bits depending on their frequencies.

d) This statement is true. If all symbol frequencies are less than 0.5, the Huffman greedy algorithm guarantees that all symbols will be encoded with at least two bits. This is because the algorithm assigns shorter codes to symbols with higher frequencies, and since all frequencies are less than 0.5, none of the symbols will have a high enough frequency to be encoded with a single bit.

To learn more about Huffman greedy algorithm click here:

brainly.com/question/29898146

#SPJ11

Answer:

C

Step-by-step explanation:

transposition

3x/4=1/5

xc=yc

15x/20×20=4/20×20

15x=4

x=4/15

No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.

What does the expected value of a random variable mean?

Is the expected value always equal to the mean?

Learn more about expected value of a random variable brainly.com/question/22435257

#SPJ4

Answer:

y=-20x-12

Step-by-step explanation:

Only the third statement (c)"To square a number multiply the number by itself" is true.

The square of any number is defined as the product of the number and itself .

Let us consider a number a , then the square of a is denoted by a² and  a² = a × a .

Let us take each statement and verify if they are true or false.

a)"To square a number, multiply the number by 2"

this is false as to square we have to multiply the number with itself.

example: 3²=9 but 3 × 2 = 6

b)The second statement is also false because square-root of a number is different than dividing a number by 2.

Example: √16=4 but 16÷2=8

c) "To square a number, multiply the number by itself."

This statement is true .

d) a perfect square is defined as a number whose square-root is an integer (both odd and even)

9 is a perfect square and √9=3 which is odd

Therefore the fourth statement is also false.

Hence only statement (c) is correct .

To learn more about the square of a number visit:

https://brainly.com/question/17749819

#SPJ9

Answer:

\(45\frac{9}{10}\) or \(45.9\)

Step-by-step explanation:

All we have to do here is substitute the given value of \(r\) into the given expression. Therefore, after substituting \(r=-\frac{1}{2}\) into \(46+\frac{1}{5}r\), we get:

\(46+\frac{1}{5}r\)

\(= 46+\frac{1}{5}*(-\frac{1}{2} )\) (Substitute \(r=-\frac{1}{2}\) into \(46+\frac{1}{5}r\))

\(=46-\frac{1}{10}\) (Multiply)

\(=45\frac{9}{10}\) or \(45.9\) (Simplify)

Hope this helps!

Hey there!

The answer to your question is  \(45\frac{9}{10}\)

We can find this by simply plugging in the "r" value into the given equation.

46 + \(\frac{1}{5}\) (\(\frac{-1}{2}\))

Now we evaluate the equation:

46 + \(\frac{1}{5}\) (\(\frac{-1}{2}\))

46 + \(\frac{-1}{10}\)

\(45\frac{9}{10}\)

Hope this helps and have an amazing day!

Answer:

24

Step-by-step explanation:

3*4*2=24

Answer:

Kim swam 48 laps.

Step-by-step explanation:

The values of the input functions when put into the function are;

f(3) = 5

f(3²) = 9

f(-2) = 8/3

f(6) = 7

We are given the function to be represented as;

f(x) = ²/₃x + 3

Now, we are told that the input value of x are;

X = (3, 3², -2, 6)

Thus;

for f(3), we plug in the value of 3 into the function for x to get;

f(3) = ²/₃(3) + 3

f(3) = 2 + 3

f(3) = 5

for f(3²), we plug in the value of 3² into the function for x to get;

f(3²) = f(9) = ²/₃(9) + 3

f(3²) = 9

for f(-2), we plug in the value of -2 into the function for x to get;

f(-2) = ²/₃(-2) + 3

f(-2) = 8/3

for f(6), we plug in the value of -2 into the function for x to get;

f(6) = ²/₃(6) + 3

f(6) = 7

Read more about Function input values at; https://brainly.com/question/10283950

#SPJ1

The integral, after converting to spherical coordinates, evaluates to 10√2\((√2 - 1)^7\).

To convert the integral to spherical coordinates, we need to express the integrand and the volume element in terms of spherical coordinates. In spherical coordinates, we have three variables: r (radius), θ (polar angle), and φ (azimuthal angle).

The integral is given by:

∫∫∫ 12\(V^4\) – \(x^{2}\)\(V^8\) – \(x^{2}\) – \(y^2\) dVx dy dz,

To express this in spherical coordinates, we use the following transformations:

x = r sinθ cosφ,

y = r sinθ sinφ,

z = r cosθ,

The Jacobian determinant of the coordinate transformation is \(r^2\) sinθ. The volume element dVx dy dz becomes \(r^2\) sinθ dr dθ dφ.

Substituting the transformed variables and the volume element into the integral, we have:

∫∫∫ 12\(r^4V^4\) – \(r^2\) \(sin^2θV^8\) – \(r^2\) (\(sin^2θ + sin^2φ\))\(r^2\) sinθ dr dθ dφ.

Simplifying the integrand and evaluating the integral over the appropriate ranges of r, θ, and φ, we find that the integral evaluates to 10√2\((√2 - 1)^7\).

Therefore, the answer to the problem is option C: 10(\(V^2\)-1)\(^7\).

Learn more about integral here:

https://brainly.com/question/31059545

#SPJ11

In the context of lean tools and approaches, one of the components of the 5s principles refers to a clean work area. The component that is being referred to here is "shine".

The 5s principles are a set of lean tools and approaches that are used to promote workplace organization, efficiency, and safety. These principles include:

Learn more about the 5s principles at

https://brainly.com/question/29898421

#SPJ11

Step-by-step explanation:

step 1. since we have a right triangle we can use trigonometry

step 2. <A: 5 is the opposite and 8 is the hypotenuse so we use sine

step 3. sinA = opp/hyp = 5/8

step 4. A = 38.68° using inverse sine on your calculator.

The algebraic expression for the given statement is k-13.

The given statement is "15 less than the sum of k and 2".

We need to form the algebraic expression for the given statement.

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.

Now, the sum of k and 2=k+2

15 less than the sum of k and 2=(k+2)-15

=k+2-15

=k-13

Therefore, the algebraic expression for the given statement is k-13.

To learn more about the algebraic expression visit:

https://brainly.com/question/19245500.

#SPJ2

Answer:

Step-by-step explanation:

As,

The Earth has two basic sources of energy -

The two positive numbers that satisfy the given requirements are 4.12 and 34

To find two positive numbers that satisfy the given requirements, we can use the concept of quadratic equations. Let's call the first number "x" and the second number "y".

From the given information, we have the equation:

x² + y = 51

To find the maximum product, we can use the formula for finding the maximum point of a quadratic function. In this case, the function is:

f(x) = xy

We can rewrite this function as:

f(x) = x(51 - x² )

To find the maximum point of this function, we need to take its derivative and set it equal to zero:

f'(x) = 51 - 3x²

0 = 51 - 3x²

3x² = 51

x² = 17

So the first number, x, is the square root of 17.

To find the second number, we can substitute x into the original equation:

x² + y = 51

17 + y = 51

y = 34

So the two positive numbers that satisfy the given requirements are approximately 4.12 and 34, with a product of approximately 140.6.

To know more about maximum product click on below link :

https://brainly.com/question/10589960#

#SPJ11