Look at this set of 8 numbers:31,23,52,25,49,50,64,47How would the range change if the number 26 replaced the number 52 in the set?Choices:(A)increase(B)decrease(C)no change Get tutor help
4. Some people were interviewed to find out whether they spoke French, Spanish, French and Spanish, or neither French nor Spanish.In the Venn diagram belowξ is the set of people who were interviewed,F is the set of people who spoke French, andS is the set of people who spoke Spanish.The letters w,x,y and z represent the number of people in each of the subsets shown. Given that n(ξ)=250,n(F)=80 and n(S)=220, find(i) the maximum possible value of w,(ii) the maximum possible value of z,(iii) the maximum possible number of people who spoke both French and Spanish. Get tutor help4. Some people were interviewed to find out whether they spoke French, Spanish, French and Spanish, or neither French nor Spanish.In the Venn diagram belowξ is the set of people who were interviewed,F is the set of people who spoke French, andS is the set of people who spoke Spanish.The letters w,x,y and z represent the number of people in each of the subsets shown. Given that n(ξ)=250,n(F)=80 and n(S)=220, find(i) the maximum possible value of w,(ii) the maximum possible value of z,(iii) the maximum possible number of people who spoke both French and Spanish.[J92/1/4(a)] Get tutor helpKira has already biked 11 kilometers. She will bike more than 2 additional kilometers. Let's look at the possible total numbers of kilometers Kira will bike.(a) Fill in the blanks to write an inequality that can be used to find x, the total number of kilometers Kira will bike. Choose only from 11+x,11−x, x−11,11x,x11,11x,<,≤,>,≥, or 2 . Get tutor helpImport favoritesMVNU Students Ho...AALEKS - Jameson C…Trigonometric Identities and EquationsFinding solutions in an interval for a trigonometric equation involving an...0/5JamesonEspañolFind all solutions of the equation in the interval [0,2π).tan2x+3=0Write your answer in radians in terms of π. If there is more than one solution, separate them with commas.x=□π□,□,…AaExplanationCheck(C) 2024 McGraw Hill LLC. All Rights Reserved.Terms of UsePrivacy CenterAccessibilityType here to search Get tutor helpYour Solution:To create a frequency distribution, relative frequencies, and cumulative relative frequencies, we first need to determine the range of the data and then create appropriate class intervals. After that, we can count the number of observations within each interval to find the frequency, calculate the relative frequency for each class by dividing the frequency by the total number of observations, and then calculate the cumulative relative frequency by adding the relative frequencies from the first interval to the current interval.First, let's find the range of the data: Range = Maximum value − Minimum value Next, we will decide on the number of classes and the class width. The choice of number of classes can vary, but a common rule of thumb is to use the Sturges' formula:k=1+3.322log(n)where n is the number of observations.Let's calculate the range, the number of classes, and the class width: Range =168−22=146k≈1+3.322log(150)≈8We'1l choose 8 classes for simplicity. Now, let's calculate the class width: Class width =k Range =8146≈18.25We can round the class width up to a convenient number, such as 20 . Now we can create the class intervals and count the frequencies:\begin{tabular}{|c|c|c|c|}\hline Class Interval & Frequency (fi) & Relative Frequency (rfi) & Cumulative Relative Frequency (crfi) \\\hline 20−39 & f1 & rf1=150f1 & crf1=rf1 \\40−59 & f2 & (fi)0 & (fi)1 \\(fi)2 & (fi)3 & (fi)4 & (fi)5 \\(fi)6 & (fi)7 & (fi)8 & (fi)9 \\(rfi)0 & (rfi)1 & (rfi)2 & (rfi)3 \\(rfi)4 & (rfi)5 & (rfi)6 & (rfi)7 \\(rfi)8 & (rfi)9 & (crfi)0 & (crfi)1 \\(crfi)2 & (crfi)3 & (crfi)4 & (crfi)5 \\\hline\end{tabular}The frequencies (crfi)6 would be counted from the list of data values for each class interval. After calculating the relative frequencies (crfi)7 and cumulative relative frequencies (crfi)8, you would plot these values to construct the histogram and frequency polygon.Please note that due to the limitations of this format, I cannot count the individual data points and compute the frequencies, relative frequencies, and cumulative relative frequencies for you. However, the above table provides the structure to do so. Once you have the frequencies, you can simply plug in the values to calculate the relative frequencies and cumulative relative frequencies. To construct the histogram and frequency polygon, you would plot the frequencies and connect the midpoints of the top of each bar with straight lines, respectively.Solved by math-gpt.org Get tutor helpSolve the below LP using SIMPLEX method.Maximize −x1−x2+4x3, subject to x1+x2+2x3≤9,x1+x2−x3≤2,−x1+x2+x3≤4,x1,x2,x3≥0. Get tutor helpFinding the Domain and Range of a GraphDetermine the Domain and Range for the graph below. Write your answer in Interval Notation and as an Inequality.Notes:To type in the ≤ sign, type <=. For example, to enter the Domain [⋅10,10) as an inequality, type −10<=x<10To enter All Real Numbers as an interval, respond with (−∞,∞) and as an inequality, −∞<x<∞. The infinity symbol ∞ is made by typing 00 .Domain written in Interval NotationDomain written as an Inequality□□Range written in Interval Notation □ Get tutor help3. Marks will be lost for resembling/copied work.4. Put names of the group members on the cover page. Only the Group Leader to email a single copy of the work to linusaloo88@gmail.com.ASSIGNMENT I1a) Briefly discuss the Discrete Fourier Transform (DFT) and derive its pair back and forth defining equations.b) Perform the circular and linear convolution of the following sequences using the DFT techniques.X1(n)={1,3,1,4}X2(n)={1,4,2,3}2. An analogue filter has the transfer function, given by:T(s)=(s+1)(s+2)12( s+2)Convert this to its discrete equivalent by using the impulse-invariant transform. The sampling frequency is 15 Hz.3. Given a second-order transfer function H(z)=1+1.3z−1+0.3z−20.5(1−z−2). Perform the filter realizations and write the difference equations using the cascade form via the firstorder sections.4. Find the convolution of the following two sequences:x(n)=⎩⎨⎧10n=0,1,2 otherwise and h(n)=⎩⎨⎧010n=0n=1,2 otherwise i. Using the direct evaluation methodii. Using tabular and graphical methods.5 a) Describe the steps of designing digital filters.b) Given the Fourier transform of sequences {x(n)} and {h(n)} are {x(ejω)} and, {H(ejω)} respectively, derive the Fourier transform of:i. the delayed sequence {xk(n)} in terms of {x(ejω)}, where xk(n)=x(n−k)ii. the sequence {y(n)} in terms of H(z)=1+1.3z−1+0.3z−20.5(1−z−2)0 and H(z)=1+1.3z−1+0.3z−20.5(1−z−2)1 where H(z)=1+1.3z−1+0.3z−20.5(1−z−2)21ASSIGNMENT II1. A linear shift invariant system is described by the difference equationy(n)−43y(n−1)+81y(n−2)=x(n)+x(n−1)with H(z)=1+1.3z−1+0.3z−20.5(1−z−2)3 and H(z)=1+1.3z−1+0.3z−20.5(1−z−2)4.Findi. the natural response of the systemii. the forced response of the system for a step input andiii. the frequency response of the system.2. Compute the H(z)=1+1.3z−1+0.3z−20.5(1−z−2)5-point DFT of H(z)=1+1.3z−1+0.3z−20.5(1−z−2)6.3. Given a sequence H(z)=1+1.3z−1+0.3z−20.5(1−z−2)7 for H(z)=1+1.3z−1+0.3z−20.5(1−z−2)8, where H(z)=1+1.3z−1+0.3z−20.5(1−z−2)9, and {x(n)}0, Evaluate its DFT X(k).4. Find the digital network in direct and transposed form for the system described by the difference equation.y(n)=2x(n)+0.3x(n−1)+0.5x(n−2)−0.7y(n−1)−0.9y(n−2)5. Consider the sequence {x(n)}1. Calculate the Fast Fourier Transform (FFT).END Get tutor helpThe vertices of a polygon are given. Graph the ordered pairs. Connect the points in the order they are given. Then identify the figure.(−4,−2),(4,−2),(6,3),(−2,3)parralelagiran162 Brianna can rent a scooter for $15.00 plus $0.50 per mile. Write an equation in which t is the cost to rent a scooter and m is the number of miles she rode the scooter. Complete the table. Spiral Review163.42 is 60% of what number?70 164 Tyrell buys an organizer for his baseball cards that costs $12 add pages to the organizer to hold the cards. Each page cos holds 9 cards. If Tyrell has 100 cards, how much will it cost h them? Write and evaluate a numeric expression. Get tutor help
