is water wet? genuine question here. i wanna see sum.

The mean of Xt is 0. The autocovariance of Xt is 0, and the autocorrelation is 0 for all lags. Mean: 0. Autocovariance: 2cos(2). Autocorrelation: 2cos²(2).

The mean of Xt is the expected value of the series, which is 0, since the uniform distribution has a mean of 0.5, and when it is multiplied by 2π, it becomes 0. The autocovariance of Xt is the expected value of the product of two variables at different lags, which is 0 because the two variables are uncorrelated. The autocorrelation of Xt is the expected value of the product of two variables at different lags, divided by the product of their variances, which is also 0 since the variables are uncorrelated. The autocovariance and autocorrelation functions are both 2cos²(2πt), which is the expected value of Xt at different lags.

The complete question: Suppose = 2 cos[2( 12 + )], ∈ ℤ, where ~Uniform[0,1]. Find the mean, autocovariance and autocorrelation functions of the time series { , ∈ ℤ}.

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The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

Answer:

Factor \(12a + 6b : 6(2a + b)\)

Step-by-step explanation:

\(12a+6b\)

Rewrite \(12\) as \(2 * 6\):

\(=2\cdot \:6a+6b\)

Factor out common term \(6\):

\(=6\left(2a+b\right)\)

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If the calculated value of correlation coefficient is greater than 0.532, then the correlation is significant at the 0.05 level.

In order to calculate the critical value for the testing of correlation, significance level needs to be considered. If the correlation is significant at 0.05 level, then the critical value for the testing is 0.05. This implies that the calculated value of correlation coefficient is significant as compared to the value of critical correlation at the 0.05 level.

The correlation coefficient value can range from -1 to +1. The correlation coefficient can be used to determine the degree of relationship between the two variables.

A correlation coefficient of 0 indicates no correlation between two variables, while a correlation coefficient of -1 or 1 indicates a perfect negative or positive correlation, respectively.

In this case, the correlation coefficient between score and first year GPA is 0.529. This indicates a moderate positive correlation between the two variables.

Now, to determine the critical value for the testing, we need to use the significance level which is 0.05 in this case. The critical value for this significance level is 0.532.

Therefore, if the calculated value of correlation coefficient is greater than 0.532, then the correlation is significant at the 0.05 level.

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The correlation between the score and first-year GPA is 0.529. To find the critical value for the testing if the correlation is significant at =.05, we can use the formula:r= (t√n-2)/√1-r²

Where r = 0.529, n = sample size, and t = critical value

Let's assume the sample size is 30. Then the degrees of freedom will be 28 (n-2).

The critical value of t for a two-tailed test at the .05 level with 28 degrees of freedom is 2.048.

Using the formula:r= (t√n-2)/√1-r²0.529 = (2.048√30-2)/√1-0.529²

Solving for √1-0.529² = 0.846.0.529 = (2.048√28)/0.8462.048*0.846 = 1.732t = 0.529 * 1.732 = 0.915

So, the critical value for the testing if the correlation is significant at =.05 is 0.915.

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The sandwich with the largest mean in the distribution of types of sandwiches ordered is the roast beef sandwich. This is because the roast beef sandwich has the highest number of orders, followed by the ham sandwich and the vegetarian sandwich.

The distribution of types of sandwiches ordered is as follows:

Roast beef: 40 orders

Ham: 30 orders

Vegetarian: 20 orders

As you can see, the roast beef sandwich has the highest number of orders, followed by the ham sandwich and the vegetarian sandwich. This means that the roast beef sandwich has the largest mean in the distribution of types of sandwiches ordered.

The manager should take this into account when placing the next order for food supplies. They should order more roast beef sandwiches than ham sandwiches or vegetarian sandwiches.

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The sandwich with the largest mean in the distribution of types of sandwiches ordered is the roast beef sandwich. This is because the roast beef sandwich has the highest number of orders, followed by the ham sandwich and the vegetarian sandwich.

The distribution of types of sandwiches ordered is as follows:

Roast beef: 40 orders

Ham: 30 orders

Vegetarian: 20 orders

As you can see, the roast beef sandwich has the highest number of orders, followed by the ham sandwich and the vegetarian sandwich. This means that the roast beef sandwich has the largest mean in the distribution of types of sandwiches ordered.

The manager should take this into account when placing the next order for food supplies. They should order more roast beef sandwiches than ham sandwiches or vegetarian sandwiches.

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The distance rode by Megan on her bike is; 3/4 miles

The number line given shows how far Susan and Megan rode their bikes.

Since Megan's distance rode sits on the midpoint between, 5/8 and 7/8.

In essence, Megan's distance rode is;

\( \frac{ \frac{5}{8} + \frac{7}{8} }{2} \)

So that we have; 12/8 ÷ 2

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The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

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Answer: 1393 m

Step-by-step explanation: Because first you are going to subtract the fee (28) and the least charged month (97.65) that is 69.65 and then you are going to divide that number by 0.05 to get the mins that is 1393

The solutions to the system of equations is given as follows:

(-6, 4.33) and (5, -3).

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the equations are given by:

From the first equation, we have that:

\(y = \frac{1 - 2x}{3}\)

Replacing into the second equation, we have that:

\(x^2 + xy = 10\)

\(x^2 + x\frac{1 - 2x}{3} = 10\)

3x² + x(1 - 2x) = 30

x² + x - 30 = 0

(x + 6)(x - 5) = 0.

The solutions are:

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Answer:

start by plotting number 5 on the y-axis, and from that point move up 3 and to the left 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

9.3 times 7 equals 65.1

65.1 time the 5 sides equals 325.5

325.5 plus the 84 for the base equals 409.5 ft^2

The critical point is c = 2, the function is decreasing on the interval 0 < x < 2, and increasing on the interval x > 2.

To find the critical point of the function y = x^2 - 4x, we first need to find its derivative, which represents the slope of the tangent line at any point on the curve.

The derivative of y with respect to x is:

y' = 2x - 4

Now, we need to find the critical points, which occur where the derivative is zero or undefined. In this case, the derivative is a polynomial, so it is never undefined. To find where it equals zero, we set y' equal to zero:

0 = 2x - 4

Solving for x, we get:

x = 4/2 = 2

So, the critical point is c = 2.

Now, we need to determine if the function is increasing or decreasing on the interval x > 0. To do this, we can analyze the sign of the derivative. If y' > 0, the function is increasing; if y' < 0, the function is decreasing.

For x > 2 (to the right of the critical point), the derivative y' = 2x - 4 is positive (since 2x > 4 when x > 2). Therefore, the function is increasing on the interval x > 2.

For x < 2 (to the left of the critical point), the derivative y' = 2x - 4 is negative (since 2x < 4 when x < 2). Therefore, the function is decreasing on the interval 0 < x < 2.

In summary, the critical point is c = 2, the function is decreasing on the interval 0 < x < 2, and increasing on the interval x > 2.

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Given linear inequalities is solved using graph paper line will pass through (6,0) and (-0,4) Area where required linear inequalities is satisfied is towards origin.

let's first try to understand  what is linear inequalities?

A linear inequality in mathematics is an inequality involving a linear function. One of the symbols for inequality is found in a linear inequality. It displays non-equal data in graph style.

the linear inequality's graph Since the inequality is severe and the shaded region points in the direction of the origin, 2 x-3 y < 12 is a straight line passing through the points (6, 0) and (0, -4), with the line being dot-dotted.

x - coordinate of the given line 2x - 3y =12

y =0 2x = 12 x = 6 (6,0)

y - coordinate of the given line -3y = 12 y = -4  (0,-4)

line passes through (6,0) and (0,-4).

Given Question is incomplete complete Question here:

How do you graph linear inequalities 2x - 3y< 12?

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The solution is 440 ft² because the overall size of the image is 528 sq ft, which in itself is closest approaching 440 square feet.

Parallel forms are defined as having at least two even more parallel lines. If two lines never cross, they are considered to be parallel. There are different parallel shapes, however any parallel sides require an equitable distribution of sides in the shape.

Sum of the measurements of the two main sides divided by height equals the area of a trapezoid.

Let's refer to the longer parallel side's length as "L." The figure's height is 22 feet, while the shorter parallel side's length is 16 feet.

Area = (L + 16) / 2 * 22

We also knows that the distance between a point and the vertical line formed by two studs is 4 feet and the distance between a vertex and the opposing height is 8 feet. The Pythagorean theorem may be used to determine the length of the greater parallel side, L, since these two lengths create a right triangle.

L² = (8 + 4)² = 64

L = 8

We can now calculate the overall area using the formula for a trapezoid's area.

Area = (L + 16) / 2 * 22 = (8 + 16) / 2 * 22 = 24 * 22 = 528

The solution is 440 ft² because the overall size of the figures is 528 sq ft, that is closest towards 440 sq ft.

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Answer: I hope this answer your question

Step-by-step explanation: Have a brilliant day mate- Lily ^_^

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

Answer:

$8.75

Step-by-step explanation:

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To solve this problem, we can use trigonometry and the concept of similar triangles.

(a) To find the height of the tree, we can consider the right triangles formed by each observer and the top of the tree. The opposite side of the triangle represents the height of the tree.

Let h be the height of the tree. In triangle A, the opposite side (height) is h and the adjacent side is 500 feet. In triangle B, the opposite side is also h, but the adjacent side is unknown.

Using the tangent function, we can write the following equations:

tan(48°) = h/500

tan(47°) = h/x

Solving for h in both equations, we have:

h = 500 * tan(48°) ≈ 613.43 feet

h = x * tan(47°)

Setting these two equations equal to each other and solving for x, we get:

x = 500 * tan(48°) / tan(47°) ≈ 617.81 feet

(b) The distance from the base of the tree to each observer is the adjacent side of the respective triangles.

For observer A, the distance is 500 feet.

For observer B, the distance is x, which we have already calculated to be approximately 617.81 feet.

Therefore, the base of the trunk is approximately 500 feet from observer A and approximately 617.81 feet from observer B.

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Answer:

x=10

Step-by-step explanation:

The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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In a hash table of size 6 with chaining, the keys 31, 32, and 19 will be placed in the table as follows:

Key 31: The hash value of 31 will be calculated using a hash function, which will generate a value between 0 and 5. Let's assume that the hash function generates a value of 1 for key 31. The value 31 will be placed in the linked list at index 1 of the hash table.

Key 32: The hash value of 32 will be calculated using the same hash function, which may generate a value different from 1. Let's assume that the hash function generates a value of 3 for key 32. The value 32 will be placed in the linked list at index 3 of the hash table.

Key 19: The hash value of 19 will be calculated using the same hash function, which may generate a value different from 1 and 3. Let's assume that the hash function generates a value of 0 for key 19. The value 19 will be placed in the linked list at index 0 of the hash table.

The evolution of the hash table for each key placement can be illustrated as follows:

Initially, the hash table is empty:
| | | | | | |

After placing key 31 in index 1:
| |31| | | | |

After placing key 32 in index 3:
| |31| |32| | |

After placing key 19 in index 0:
|19|31| |32| | |

As you can see, the values are placed in the linked lists at the respective indices of the hash table. This allows for efficient retrieval of values based on their keys, as the hash table can quickly locate the linked list where the value is stored.

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Answer:

slope is -2/3

Step-by-step explanation:

The probability that a lightbulb will last between 2638 and 2949 hours is approximately 0.8084.

To solve this problem, you can use the normal distribution formula to calculate the probability that a lightbulb will last between 2638 and 2949 hours:

P(2638 < x < 2949) = P(z1 < (x - mean)/standard deviation < z2)

Where x is the number of hours that the lightbulb lasts, mean is the average number of hours that the lightbulb lasts (2872 hours in this case), and the standard deviation is the standard deviation of the number of hours that the lightbulb lasts (108 hours in this case), z1 is the standard normal deviate corresponding to the lower bound of the interval (2638 hours in this case), and z2 is the standard normal deviate corresponding to the upper bound of the interval (2949 hours in this case).

To calculate z1 and z2, you can use the following formulas:

z1 = (2638 - 2872)/108 = -1.22

z2 = (2949 - 2872)/108 = 0.85

To calculate the probability, you can use a normal distribution calculator or table to find the probability that a standard normal random variable is between -1.22 and 0.85.

Using a normal distribution calculator or table, you can find that the probability that a lightbulb will last between 2638 and 2949 hours is approximately 0.8084.

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The probability that Nadia randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136.

We have,17 total number books out of which,10 are fiction books, 2 are reference books, 5 are non-fiction books.

The combination is the number of ways of selecting things.

Probability is to quantify the possibilities.

Number of ways in which a reference book can be picked = ²C₁

Probability of picking a reference book = ²C₁ / ¹⁷C₁ = 2/17

Now, the total number of books left on the bookshelf is 16

The number of ways in which a non-fiction book can be picked after a reference book is already picked up( no replacement) = ⁵C₁ / ¹⁶C₁ = 5/16

Total probability =multiplication of both the possibilities

Total probability =(2/17)×(5/16) = 5/136

Therefore, the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is 5/136

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Answer:

C. 5/156

Step-by-step explanation:

Edge 2023

14.18 because you do pi times the radius squared and divide it by 2.

Answer:

z = 4

Step-by-step explanation:

First multiply both sides by the denominator, -4, to get rid of it. Now you have 8z + 4 = 36.

Next subtract the 4 on both sides to get 8z = 32.

Lastly divide 8 on both sides to get z = 4.

Hope this helped :)

Answer:

Step-by-step explanation:

(a). 5 to 30

\(9,16 , 25\)

(b) . 100 to 200

\(100, 121 ,144, 169 , 196\)

(c). 200 to 300

\(225,256,289\)

(d). 300 to 400

\(324, 361,400\)

(e). 400 to 550

\(400 , 441,484,529,\)

Answer:

5-30

(36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,526,576,625,676,729,784,841,900)

Step-by-step explanation:

The probability that a selected individual's height will be less than 45 inches is approximately 0.0228.

We can use the normal distribution to find the probability that a selected individual's height will be less than 45 inches. We'll need to first calculate the z-score for a height of 45 inches, and then use a standard normal distribution table or calculator to find the corresponding probability.

The formula for calculating the z-score is:

z = (x - μ) / σ

Where x is the height we're interested in, μ is the population mean (given as 53 inches), and σ is the population standard deviation (given as 4 inches).

Plugging in the values, we get:

z = (45 - 53) / 4 = -2

Now, we can use a standard normal distribution table or calculator to find the probability of a z-score less than -2. Using a table, we find that the probability is approximately 0.0228.

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Answer:

y=-x-2

Step-by-step explanation:

Parallel lines have the same slope. In the equation of a line in the form y=mx+b, m is the slope. The equation of line q is 5x+5y=-9 → 5y=-5x-9 → y=-x-(9/5), so the slope (m) is -1.

y=mx+b

y=-x+b

Now sub in the point (-1,-1) to find b:

-1=-(-1)+b

-1=1+b

b=-2

So our equation for r is y=-x-2

Answer:

y = -x - 2

Step-by-step explanation:

put line q into slope-intercept form:

y = -x - 9/5

Now you know the slope that line r must have, -1 (parallel lines have equal slopes)

use the point (-1, -1) to find 'b', or the y-intercept of line r

y = mx + b

-1 = -1(-1) + b

-1 = 1 + b

b = -1+(-1)

b = -2