Sketching the nyquist plot based on the bode plots for the mentioned systems require a certain understanding of bode plots explained in detail.
What do you understand by bode plots?In reality, Bode plots are a collection of graphs that display a system's frequency response. This system might be any system (not simply a circuit!) that changes its behavior when its frequency (cycles per second) changes.
Frequency Response simply describes how our system will alter in response to a specific input frequency. This collection of notes will be referred to as our input frequency.
Bode charts often have two graphs. We'll refer to one as the magnitude plot and the other as the phase angle plot.
We'll need something initially called a transfer function. Typically represented as H(s) or H(j). A transfer function often equates to the ratio of the output to the input.
A). >KG ( s) a= K( s+2 ) / s + 10 B.>KG ( s) = K / ( s + 10 )(s+2)2 C).>KG ( s) = K (s+10)(s+10) / (s+100)(s+2)3 D)
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A company determines an employee's starting salary according to the number of years of experience, as detailed in the table. Years of experience salary 0 $40,000 1 $42,150 2 $44,260 3 $46,785 4 $48,820 5 $51,126 use the equation for the line of best fit to predict the salary for an employee with 7 years of experience? (round your answer to the nearest dollar. ) $52,900 $53,340 $53,914 $55,573.
The wage for a worker with 7 years of experience may be calculated using the equation for the line of best fit as follows: D. $55,573.
A line of best fit is what?A trend line, also known as a line of best fit, is a statistical (analytical) technique that is used with a scatter plot to ascertain whether or not there is any link (correlation) between a set of data.
In this case, the pay would be placed on the y-axis of the scatter plot and the employee's years of experience would be put on the x-axis.
What is the equation of best fit?A line of best fit can be described by the equation y=mx+b, where m denotes the slope and b the y-intercept. To comprehend the idea of how to roughly approximate the equation of a line of best fit and make predictions, we will look at two examples that show a scatter plot with a line of best fit.
We may rationally and logically conclude that the equation for the line of best fit is given by: by carefully examining the scatter plot that models the data in the provided table (see attachment).
y = 2233.3x + 39940
The wage for an employee with seven years of experience would thus be predicted using the equation for the line of best fit as follows:
y = 2233.3(7) + 39940
y = 15,633.1 + 39940
y = 55,573.1 ≈ $55,573.
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. A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation, etc. were Rs 1000 find his total profit and the selling price of 600 quintals of rice.
Answer:
The total profit for the grain merchant selling 600 quintals of rice is Rs 12800. To calculate this, we first need to calculate the profit on one quintal. The profit percentage is 7%, so if a quintal costs Rs 250 the profit is 7% of 250 which is Rs 17.5. Now we multiply this with the number of quintals sold, which is 600, to get Rs 10500 as the profit. We then add in the overhead charges of Rs 1000 to get a total profit of Rs 12800. The selling price of 600 quintals of rice is therefore Rs 12800 plus Rs 250 times 600, which equals Rs 180000.
Divide.
8 ÷ 1/9
Enter your answer in the box.
Answer:
0.8888888..... repeating
Step-by-step explanation:
Answer:
72/1
Step-by-step explanation:
multiply 8 and 9/1
a statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. the 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. suppose the distribution of the population of number of pushups that can be done is approximately normal. what is the standard error of the mean?
Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
Given that,
One day, a teacher of statistics randomly selected 10 pupils' names from a hat and instructed them to complete as many pushups as they could before class began. The 10 students who were chosen at random performed an average of 15 pushups, with a standard deviation of 9. Assume that the population's distribution of the maximum number of pushups is roughly normal.
We have to find what is the standard error of the mean.
We know that,
For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.
The sample mean is of 15 is x=15 .
The sample standard deviation is of 9 is s=9.
The sample size is of 10 is n=10.
First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.
Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622
The margin of error is of:
M=ts/n
Then:
M=2.2622(9/√10)
M=6
The confidence interval is:
x±M
x-M=15-6=9
x+M=15+6=21
Therefore, Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
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point is 9 units from the center of a circle of radius 15. how many different chords of the circle contain and have integer lengths?
Total number of different chords of the circle passing through point P with integer lengths is equal to 7.
As given in the question,
Radius of the circle = 15units
Longest chord of the circle 'diameter' = 2 × 15
= 30units
Point 'P' is 9 units away from the circle.
Consider shortest distance( perpendicular) of point P for shortest chord.
Half length of the chord , shortest distance and radius form right triangle.
(1/2) length of the chord = √15² - 9²
= √225 - 81
= 12units
Length of the chord = 2(12)
= 24 units
Different Chords with integer length = 24, 25, 26, 27, 28 , 29 , 30
Total number of different chords = 7
total number of chords = 6 original + 6 mirror image + 1 longest chord
= 13
Therefore, total chords with different integer length passing through the point P of the circle is 7.
The complete question is :
A point P is at the 9 unit distance from the center of a circle of radius 15 unit. How many total number of different chord of the circle passing through the point P and have the integer lengths?
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10c - cd + d^3 (if c = -6 and d= 2)
The required simplified solution of the given expression is -40.
Given that,
To determine the simplified solution of the given expression 10c - cd + d³ at c = -6 and d = 2.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 10c - cd + d³
Substitute the values,
= -60 + 12 + 8
= -40
Thus, the required simplified solution of the given expression is -40.
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PLEASE HURRY! I WILL GIVE BRAINLIEST TO THE PERSON WHO GIVES THE RIGHT ANSWER! DO NOT SPAM OR I WILL REPORT!
2300 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest tenth of a year, how long will it take for the account value to reach 4300 dollars?
Answer:
I think 6.2 years
Step-by-step explanation:
I THINK OK
a) ¿Cuántas veces contiene la unidad base a la correspondiente del prefijo deci?
Answer:
Deci (símbolo d) es un prefijo del Sistema Internacional que indica un factor de 10−1 (1/10) o una décima parte.
The number of times that the base unit contains the corresponding prefix deci is 10.
What are Base Units?Base units are the units which are used in measurements as the basic ones from which the other units of measurements has been derived.
Some of the common base units are second, meter, kilogram, etc.
We have to find the number of times the base unit contains the corresponding unit with prefix deci.
This means that how many times 1 meter contains decimeter.
This goes for each base units.
We know that,
1 meter = 10 decimeters
Any of the base units is 10 times the corresponding unit with prefix deci.
Hence the number of times that a base unit contains the corresponding unit with prefix deci is 10.
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The question in English is,
How many times does the base unit contain the corresponding prefix deci?
three women are selected from the audience of a style show to receive a purse, a pair of gloves, and a scarf. if 23 women are present, in how many different ways may the gifts be given?
The number of different possible ways in which the gifts can be given to 3 out of 23 women is 10626.
Each gift can be considered a position given to one of 23 women. The number of ways in which gift can be given to them is :
First gift : 23 possibilities
Second gift: 22 possibilities
Third gift: 21 possibilities
So, the gifts may be given in
23 * 22* 21
= 10626
We could encounter several patterns and number kinds in mathematics. Sequences are included in one of the number patterns.
Repetition is permitted and order is important in the sequence, which is a predetermined group of objects. Formally, a sequence is a function that connects the elements at each point to natural numbers. It has members, which are known as elements or words, just like a set.
The length of the sequence is determined by the number of items. In contrast to a set, the same items might appear more than once in a sequence at various points, and the order does important.
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5(2t -3) - 7.5t = 0.5 (12-t) Show your work
Answer:7
Step-by-step explanation:
Can write it as
10t -15 - 7.5t = 6 - 0.5t
2.5t -15 = 6 - 0.5
3t - 15= 6
3t = 21
t= 7
by what number do we multiply the initial enrollment to get the enrollment one decade later given a 30 % increase
The final enrollment after one decade is obtained by taking the 30% of the initial enrollment.
Describe the term percentage of the number?A value or ratio that might be stated as a fraction over 100 is thought to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its total and then multiply it by 100. The proportion ultimately refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.For the stated question-
Let initial enrollment = 100.
After one decade, the enrollment added 30% of the initial.
Thus,
= 100 + 30% of 100
= 100 + 130
= 130
Thus, the final enrollment after one decade is obtained by taking the 30% of the initial enrollment.
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3|2z+9|+12=10. Please help quickly
We will see that the given equation is false for all values of z, thus, the equation has no solutions.
How to solve the equation?Here we have the absolute value equation:
3*|2z + 9| + 12 = 10
To solve this we first need to isolate the absolute value part, so let's do that:
3*|2z + 9| + 12 = 10
3*|2z + 9| = 10 - 12 = -2
|2z + 9| = -2/3
Now, remember that the absolute value is always a positive quantity, then the above equation is false, an absolute value never can be equal to a negative number.
Then our equation has no solutions.
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A salesperson's commission rate is 6%. What is the commission from the sale of 44000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.
Commission rate = 6%
Sales = $43,000
Commission = 6% of 43,000
= 0.06 × 43,000
= $2,580
Suppose sales would double. What would be true about the commission?
If sales doubles, that is,
Sales = $86,000
Then, commission also doubles
Commission = $5,160
Check:
Sales = $86,000
Commission rate = 6%
Commission = 6% of $86,000
= 0.06 × 86,000
= $5,160
The mathematical way to describe an interaction is: O A difference in differences A A caveat O A qualified main effect O A patterned pattern
The mathematical way to describe an interaction is: A difference in differences.
What is an interaction?In statistics, an interaction may appear when analyzing the relationship between three or more variables, and defines a situation in which the effect of one causal variable on an outcome forms on the state of a second causal variable.
Interactions are often considered in the context of regression analyses or factorial experiments. An interaction happens when an independent variable has a different effect on the outcome depending on the values of another independent variable.
To find an interaction, we need a factorial design, in which the two (or more) independent variables are crossed with one another, so there are reflections at every combination of levels of the two independent variables.
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PLS HELPP Which algebraic expression is equivalent to 3(2x – 7)
Answer:
6x-21
Step-by-step explanation:
6x*3 - 7*3
consider the following binomial experiment: a survey shows 53% of households in centercity own a dvd player. in a random sample of 22 households in this city, what is the probability that exactly 17 households own a dvd player? a) 0.0121 b) 0.0124 c) 0.0120 d) 0.0123 e) 0.0126 f) none of the above.
The probability that exactly 17 households own a DVD player is b) 0.0124
How to calculate the probability?P = probability of own DVD player = 53% = 0.53
n = sample of households = 22
x = number of households own a DVD player = 17
Since it is binomial experiment, we use binomial probability formula to calculate the probability.
P(X) = [tex]^{n}C_{x}\times P^{x}\times (1-P)^{n-x}[/tex]
With combination formula as below,
[tex]^nC_x[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]
P(X) = [tex]^{22}C_{17}\times 0.53^{17}\times (1-0.53)^{22-17}[/tex]
= [tex]\frac{22!}{17!(22-17)!}\times 0.53^{17}\times 0.47^{5}[/tex]
= 26334 × 0.0000205 × 0.0229345
= 0.0123811
= 0.0124
Thus, the probability is 0.0124 for 17 households own DVD player.
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Which image shows a rotation?
Answer:
I believe the answer is A because one is a reflection and another is a translation.
please help me i need it bad
Using the secant-secant theorem,
[tex]\frac{13x+7-60}{2}=5x-10 \\ \\ 13x-53=10x-20 \\ \\ 3x-53=-20 \\ \\ 3x=33 \\ \\ \boxed{x=11} \\ \\ \\ \\ \angle RDB=5(11)-10=\boxed{45^{\circ}}[/tex]
The angles of a triangle add up to 180 degrees. The second angle is 6 degrees larger than the smallest angle. The third angle is 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees) degrees
The measure of the smallest angle A of the triangle is 29°, whose second angle is 6 degrees larger than the smallest angle and the third angle is 4 times as big as the smallest one.
we know that the Sum of the measure of all the angles in the triangle is 180 degrees.
Let, ∠ A = smallest angle
∠ B = A+6
∠ C = 4 (∠A)
So, we can write that,
∠ A + ∠ B + ∠ C = 180°
∠A + (∠A+6) + 4∠A = 180°
6 + ∠A + ∠ A + 4∠A = 180°
6 + 6 ∠A = 180°
6∠A = 180° - 6
6 ∠A = 174
∠A = 174/6
∠A = 29°
Hence, the smallest angle A is 29°
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find the quotient of 2 divided by 6,138
Answer= The number 6138 is called the numerator or dividend, and the number 2 is called the denominator or divisor.
The quotient of 6138 and 2, the ratio of 6138 and 2, as well as the fraction of 6138 and 2 all mean (almost) the same:
6138 divided by 2, often written as 6138/2.
Read on to find the result of 6138 divided by 2 in decimal notation, along with its properties.
If you pay $25 per month for your cell phone and an additional $5 for each picture
you send, an equation to represent the cost of your phone would be
y = 5x + 25
y = 25x + 5
y = 3x + 1
y = x + 30
If you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation to represent the cost of your phone.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that you pay $25 per month for your cell phone
An additional $5 for each picture you send
We have to find the equation which represent the cost of your phone
Let x be the number of months.
The equation should be in the form of y=mx+b
in the given equation m is the slope and b is the y intercept or the additional fee.
y=25x+5 is the required equation
Hence, if you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation to represent the cost of your phone.
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6. a survey shows that 360 out of 500 females and 600 out of 800 males enjoy a game show. based on this evidence, would you argue that the ratio of female and male viewers who enjoy the game show differs? use a 5% level of significance
It is concluded that the ratio of female and male viewers who enjoy the game shows the difference.
Explain the meaning of the term ratio of the number?When two or maybe more numbers are compared, the ratio shows how big one is in relation to the other. The dividend or quantity being divided is referred to as the antecedent, and also the divisor or quantity that also is dividing is referred to as the consequent. A ratio analyzes numbers by division.According to the survey-
360 out of 500 females enjoy the game.
Thus,
Ratio female = number of females who enjoy/ total number of females.
Ratio female = 360/500
Ratio female = 0.72
Now, 600 out of 800 males enjoy a game show.
Ratio male = number of males who enjoy/ total number of males.
Ratio male = 600/800
Ratio male = 0.75
Thus, Ratio female ≠ Ratio male
Therefore, it is concluded that the ratio of female and male viewers who enjoy the game shows the difference.
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when solving the equation, which is the best first step to begin to simplify the equation? negative 2 (x 3)
Answer:
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half
What is an estimate of the coordinates of the solution of the system to the nearest tenth?
Answer:
Look at the solution to your other similar question and see if you can figure this one out now.
Step-by-step explanation:
Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What
is the total cost of the tacos?
Answer: $36
Step-by-step explanation: 6 times 2 is 12
12 times 3 is 36
a hand of 13 cards is dealt at random from a bridge deck of 52 cards. find the probability that the hand contains 4 queens. (round your answer to four decimal places.)
The probability of the hand containing 4 queens when picked at random is 0.0026.
We can solve the given question easily using probability, permutations, and combinations.
We can pick any card other than the queen in the following number of ways = ⁴⁸C₉ (i)
The queen card can be picked in the following number of ways
= ⁴C₄= 1 (ii)
The total number of ways to choose 13 cards is = ⁵²C₁₃ (iii)
Using the values of (i), (ii), and (iii), we get -
Probability = (⁴⁸C₉ * 1) / ⁵²C₁₃
= [tex]\frac{48!/9!(48-9)! *1 }{52!/13!(52-13)! }[/tex]
= 1677106640 * 1 / 635013559600
= 0.00264
If this is rounded to four decimal places, we get = 0.0026.
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10 points . Which graph shows Y=⌊x⌋+3? ... Picture provided
The graph that shows the function Y=⌊x⌋+3 is given by the image shown at the end of the answer.
How to obtain the graph of the function?The function in this problem is defined as follows:
Y=⌊x⌋+3.
The term ⌊x⌋ is the floor function of x, giving the greatest integer that assumes a value less than x.
The intervals to the function are given as follows:
Open on the left interval.Closed on the right interval.Then the translation is given as follows:
Y = y + 3.
Meaning that the function was shifted three units up.
Thus the correct graph is the bottom right graph, given by the image shown at the end of the answer, because:
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a bowling team has 6 members. how many ways can the captain of the team arrange the bowlers for a game
The number of ways in which captain of the team arrange the 6 bowlers for a game is 720.
Explain the term arrangement?Generally speaking, an arrangement among objects is just a collection of them. A combination (ordering is disregarded) or permutation is used to determine the number possible "arrangements" of the components (order is significant). An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets were arranged in a linear or sequential order.For the stated question-
Total members in bowling team = 6.
Number of ways to arrange them = 6!
Number of ways = 6 x 5 x 4 x 3 x 2 x 1
Number of ways = 720
Thus, the number of ways in which captain of the team arrange the 6 bowlers for a game is 720.
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Tell whether 20/8 and 28/9 form a proportion.
The two given fractions [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex] do not form a proportion.
How to find fractions that are in the same proportion?
Proportion shows that two fractions are equivalent or equal.
The given fractions are [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex]
Proportions are expressed in the form a:b::c:d
Where a and b represent antecedent and consequent respectively
This implies that a:b::c:d ⇒ [tex]\frac{20}{8}[/tex] : [tex]\frac{28}{9}[/tex]
The values [tex]\frac{20}{8}[/tex] = [tex]\frac{28}{9}[/tex]
Since (20x9) is not equal to (8x28)
Multiplying the two sides to get
180=224. This is a wrong representation.
Therefore the two fractions do not show a proportion
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Apply the distributive property to factor out the greatest common factor. 30+42=30+42=30, plus, 42, equals.
The greatest common factor of 30+42 according to the distributive property is 6×12.
What is distributive property?The distributive law, which states that equality is always true in elementary algebra, is generalized by the distributive principle of binary operations in mathematics.
For instance, addition is said to be more evenly distributed than multiplication in elementary mathematics.
So, here we wish to calculate the largest common factor between the numbers 30 and 42, which equals the total of 30 and 42.
Going one for one, the biggest divisor of 30 is 15, and since 42 cannot be divided by 15, this means that there isn't a frequent divisor of 30 and 42.
Since 10 is not a divisor of 42 and is the second largest divisor of 30 (10*3 = 30), it is not a common divisor of both 30 and 42.
6, which is also a divisor of 42 (6*7 = 42), is the third-largest divisor of 30 (6*5 = 30).
Then both 30 and 42 have 6 in common the most.
We may factor the total now by:
30 + 42 = 6*5 + 6*7 = 6*(5 + 7) = 6*12
Therefore, the greatest common factor of 30+42 according to the distributive property is 6×12.
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Correct question:
Apply the distributive property to factor out the greatest common factor. 30+42