20. Let the random process X(t) is given by X(t) = Acos(wt) + Bsin(wt), where A and B are random variables. Find the conditions under which X(t) will be WSS random process.

Answer:

5 cm

Step-by-step explanation:

Arc length (S) = 10 cm

Central angle \( (\theta) \) = 2 radians

We need to find: radius of the circle (r)

\( \because S = r \theta \)

\( \therefore 10 = r(2) \)

\( \therefore r= \frac{10}{2} \)

\( \therefore r= 5\: cm \)

Answer:

D

Step-by-step explanation:

The answer is d

Answer:

Step-by-step explanation:

If I am understanding this question correctly, you are being asked

how many green balls are in bag x if the probability of picking green from bag x is equal to the probability of picking red from bag y.

The probability of red:

P (red counter from bag y) = \(\frac{2}{5}\) which is equal to .40 or 40%

2 red balls in bag y and 5 total balls.

So what is the number of green balls needed to have a 40% probability of

picking green from bag x ? remember bag x has a total of 30 balls.

P (green counter from bag x = .40 (make it 40% in the equation)

P = \(\frac{x}{30}\) = \(\frac{40}{100}\)

cross mulitply:  30 X 40 = 1200

divide by 100 = 1200 ÷ 100

= 12 green balls in bag x for the probabilities to be even.

You could also just multiply the 30 total balls in bag x by the probability of a red ball from bag y and get 12.

30 x 2/5 = 60/5 = 12

12 green counters in bag x

(x - [3])² + (y- [2])² = 16

Answer:

Step-by-step explanation:

y = a(x - h)² + k        - vertex form of  the equation of the parabola with vertex (h, k)  

So  the equation of the parabola with vertex (5, 7):

y = a(x - 5)² + 7

The parabola passes through point (2, -2) so if x=2 then y=-2

- 2 = a(2 - 5)² + 7

- 2 -7 = a(-3)² + 7 -7

- 9 = 9a

a = - 1

So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):

                                        y = - 1(x - 5)² + 7

Great Grains of Canada has made a wheat purchase of 4,000 tonnes from Gateway Grains in Malta at a rate of 130 euros per tonne, with payment due in one year. The current spot exchange rate between the Canadian dollar (CAD) and the euro (EUR) is 1.6750 CAD/EUR.

The spot exchange rate of 1.6750 CAD/EUR indicates that 1 Canadian dollar is equivalent to 1.6750 euros. Since the wheat purchase is denominated in euros, Great Grains of Canada will need to convert the payment amount from Canadian dollars to euros at the prevailing exchange rate.

To calculate the total payment in Canadian dollars, we multiply the number of tonnes (4,000) by the price per tonne (130 euros) to get the payment in euros. The total payment can be calculated as 4,000 tonnes * 130 euros/tonne = 520,000 euros.

To determine the equivalent payment in Canadian dollars, we multiply the payment in euros by the spot exchange rate. In this case, the payment in Canadian dollars would be 520,000 euros * 1.6750 CAD/EUR = 871,000 CAD.

It's important to note that the given information does not mention the 1-year forward rate, so we cannot determine the forward exchange rate or the amount Great Grains of Canada would pay in Canadian dollars at the forward rate. However, if the 1-year forward rate were provided, it could be used to estimate the payment in Canadian dollars based on the forward exchange rate and the payment amount in euros.

Learn more about per tonne here:- brainly.com/question/17364893

#SPJ11

Answer: Impossible to answer/ 12 chickens 8 rabbits

Step-by-step explanation: The question asks how many hens there are, or female chickens. We do not know if the chickens are female or male, so we cannot answer. If you meant how many chickens there were, then we start with 20 chickens and 0 rabbits. Doing so, we have 40 legs. When we switch a chicken for a rabbit, we have 19 chickens and 1 rabbit, and 42 legs. So, we can subtract 56-40 giving us 16 extra legs we need, so we divide 16/2 giving us 12 chickens and 8 rabbits.

The reasonable domain for the range: 68,71,74,77,80 is { 1,2,3,4,5 } .

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

The collection of all feasible independent variable values is known as the mathematical domain. The set of all independent variable values that are conceivable yet make sense in the context at hand is known as the reasonable domain.  

Given:

range: 68,71,74,77,80

Domain:1,2,3,4,5

Here, the situation is not given.

So, the reasonable domain is { 1,2,3,4,5 }

Learn more about the domain and range at:

brainly.com/question/28801359

#SPJ1

Answer:

y = 6/5x - 2 (or y = 1.2x - 2)

Step-by-step explanation:

To find the slope-intercept form ( = mx + b) you need to rearrange the equation of the line:

Step 1 - Add 18x to both sides

15y = 18x - 30

Step 2 - Divide both sides by 15.

y = 6/5x - 2

Answer:

\(y=13\text{ miles per gallon}\)

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

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

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

\(y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}\)

Subtract and reduce:

\(y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}\)

And we're done!

The answer is C since the square root of 38 is about 6.1 and is the closest to the dot

For a nine executives in a business firm, which consists three are married, four have never married, and two are divorce, then the joint probability function of Y₁ and Y₂ is equals to the 0.6.

We have nine executives in a business firm. Let us consider two events

Y₁ --> denote the number of married executives

Y₂ --> denote the number of never-married executives among the three selected for promotion.

Three of the executives are to be randomly selected for promotion from the nine available. Total possible outcomes= 9

We have to determine the joint probability function of Y₁ and Y₂, P( Y₁/ Y₂) = 18/( 12+ 18)

= 18/30 = 0.6

Hence, required probability function value is 0.6.

For more information about joint probability function, refer:

https://brainly.com/question/31454181

#SPJ4

Answer:

x = 4

Step-by-step explanation:

Subtract 2 from both sides of the equation

13x+2=4x+38

13x+2-2=4x+38-2

Simplify

13x=4x+36

Subtract 4x from both sides of the equation

13x=4x+36

13x-4x+36-4x

Simplify

9x = 36

Divide both sides of the equation by the same term

9x/9 = 36/9

Simplify

x = 4

[RevyBreeze]

Answer:

Step-by-step explanation:

\(13x + 2 = 4x + 38 \\ 13x - 4x = 38 - 2 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4\)

Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

Answer: B

Step-by-step explanation:

We can represent the different translations of the graph of y = |x| with a vertex at (4, 1).

To write equations for each translation of the graph of y = |x| with a vertex at (4, 1), we can use the standard form of the absolute value function and apply the necessary translations.

Translation left by 2 units:

The equation for the translated graph would be y = |x - 6| since subtracting 2 from x translates the graph two units to the left.

Translation right by 3 units:

The equation for the translated graph would be y = |x - 1| since adding 3 to x translates the graph three units to the right.

Translation up by 4 units:

The equation for the translated graph would be y = |x| + 3 since adding 4 to y translates the graph four units up.

Translation down by 5 units:

The equation for the translated graph would be y = |x| - 4 since subtracting 5 from y translates the graph five units down.

Learn more about equation here : brainly.com/question/29657988

#SPJ11

The area of the windshield swept by the wiper blade, found using the formula for finding the area of a sector of a circle is 1470·π cm²

A sector of a circle is a part of a circle surrounded by two radius and part of the circumference.

The length of the wiper = 60 cm

The length of swing arm from the pivot to the wiper-blade tip = 72 cm

The area the length of the swing arm to the wiper-blade tip sweeps can be obtained from the area of a sector of a circle as follows;

The area swept by the circle with a radius of 72 cm = (105/360) × π × 72² cm²

(105/360) × π × 72² cm² = 1512·π cm²

The area of the not swept by the wiper blade =  (105/360) × π × (72 - 60)² cm²

(105/360) × π × (72 - 60)² cm² = (105/360) × π × 12² cm² = 42·π cm²

The area swept by the wiper blade is therefore;

Learn more on the area of a sector of a circle here: https://brainly.com/question/22972014

#SPJ1

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

For more such question on doubled visit:

https://brainly.com/question/30599213

#SPJ8

Answer:d

Step-by-step explanation:

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

Learn more about nominal, ordinal, at:

https://brainly.com/question/13168982

#SPJ4

Answer:

Problem 1 = -1

Problem 2 = undefined

Step-by-step explanation:

Slope: \(\frac{y^{2}-y^{1} }{x^{2}-x^{1} }\)

Problem 1: (4, -5)(-2, 1)

Slope = \(\frac{1-(-5)}{-2-4}=\frac{1+5}{-2-4}=\frac{6}{-6}=-1\)

Problem 2: (-4, 6)(-4, 8)

Slope: \(\frac{8-6}{-4-(-4)}=\frac{2}{0}\) = Undefined

The determinant of A is 1.

The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them.

The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively.

A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.

We can compute the determinant of the 2x2 matrix A =

| 1 0 |

| 1 1 |

by expanding along the first column since it involves the least amount of computation:

| 1 0 |

| 1 1 |

det(A) = 1 * |1 1| - 0 * |1 1|

= 1

So, the determinant of A is 1.

Learn more about matrix, by the following link

https://brainly.com/question/4030813

#SPJ1

Complete question:

Compute the determinant by cofactor expansion. At each? step, choose a row or column that involves the least amount of computation.

75 is the biggest number with which 525 and 3000 can be divided, making it the greatest common factor.

Finding all common factors between two integers and choosing the biggest one yields the highest common factor (HCF). It is the most powerful divisor for any pair of integers that can divide the inputted numbers evenly or fully. The largest of all the common factors between two or more integers is known as the Highest Common Factor (HCF). A number that divides two or more integers precisely is referred to as a common factor. Factors are numerical combinations that we may multiply to produce another number. These are the "common factors" when we determine the factors of two or more integers and discover some of those factors are the same (or "common").

To know more about highest common factor,

https://brainly.com/question/734948

#SPJ4

Answer: The value of q is 7.5.

Answer:

7.5

Step-by-step explanation:

Brainliest?

Answer:

Step-by-step explanation:

Breakeven is the revenue with no profit or loss. The money spent is same as money made.

To test for an association between a categorical variable and a numerical variable, you can use a statistical method called Analysis of Variance (ANOVA).

In this case, you would use a one-way ANOVA to compare the mean salaries of professors across the four different ranks. This would allow you to determine if there is a significant difference in salary between the different ranks. It is important to note that ANOVA assumes that the numerical variable is normally distributed and that the variances are equal across the different groups. Additionally, post-hoc tests may be necessary to determine which specific groups have significantly different mean salaries. Keep in mind that the sample size and distribution of data can affect the validity of your results. A larger sample size and more normally distributed data will generally result in more accurate conclusions. To test the association between a categorical variable (professor rank with four levels) and a numerical variable (yearly salary), you can use the Analysis of Variance (ANOVA) test. ANOVA helps determine if there are significant differences among the means of different groups (ranks) and if these differences are not due to random chance. If the ANOVA test results show a significant association, it implies that the professor's rank is related to their yearly salary.

To know more about statistical method visit:

https://brainly.com/question/30652356

#SPJ11

The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

For more question on margin visit:

https://brainly.com/question/15691460

#SPJ8

The length of one edge of the tabletop is 4.89 feet.

We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.

The area of square table is given by the formula -

Area of square table = side²

We will keep the value of area of square table to find the value of side which will be length of edge

24 = side²

Side = ✓24

Taking square root for the value on right side of the equation

Side = 4.89

Hence, the length of one edge of the tabletop is 4.89 feet.

Learn more about square -

https://brainly.com/question/25092270

#SPJ4