Show how the formula for the area of a parallelogram can be obtained from the formula for the area of a trapezoid if a parallelogram is defined as a trapezoid with equal bases. *

Q: Consider the following initial-value problem. -1 -2 X'= ×·- (-² -² ) x + ( ³ ) × (0) - ( -5 ) X 3 4…

A: Given  system of differential equation is              x'=-1-234x+55  ,   x0=-67  compare this with…

Q: Fill in the following table with a full analysis of the given image equation Mapping [2] Basic…

A: The basic polynomial functions are: f(x)=c, f(x)=x, f(x)=x2, f(x)=x3 Mod can accept negative as well…

Q: Question 1 of 4 Assume that we have 6 manifest variables and 3 factors. The communality of F3 on…

A: Given: Let us determine the communality of F3 on variable Z4 from the given following, A.γ234 B.γ34…

Q: 3. For the function y determine its = 1-x a. MacLaurin Series expansion up to sixth degree. b.…

A:

Q: (1) Compare the three data sets on the right. (ii) (iii) 8 9 101112 6789 101112 (a) Which data set…

A: Given data:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-2, 1] by…

A: Given:   fx=9-x2 over the interval -2, 1. A graph is given with three rectangles in it. To find: We…

Q: For the following, find the function P defined by a polynomial of degree 3 with real coefficients…

A: If r1 ,r2, r3  are the zeros of a polynomial p(x) then p(x) = a(x - r1)(x - r2)(x - r3)

Q: If f(x) = 4x² 2x + 3, find f'(4). Use this to find the equation of the tangent line to the parabola…

A:

Q: 68. The heights of the 430 National Basketball Association players were listed on team rosters at…

A: The question is about normal distribution.Given :Population mean height of basketball players (  ) =…

Q: Please find the question attached.

A:

Q: Personnel selection. Suppose that 8 female and 8 male applicants have been successfully screened for…

A: Solution is uploaded below.

Q: 5.1 #1 The graph below shows a plot of the total number E of Ebola cases in West Africa reported to…

A: Given - The graph below shows a plot of the total number E of Ebola cases in West Africa reported to…

Q: 3.10 Supplementary exercises 1. For which formal power series A(x) can one find a formal power…

A: Given problem is : For which formal power series A(x) can one find a formal power series B(x) so…

Q: Let 3] A = -2 1 B = 3 If possible, compute the following. If an answer does not exist, enter DNE. AB…

A:

Q: Find dx. 49 SOLUTION. Let x = 7 tan 0, so dx - do and Vx² + 49 = V 49 tan² @ + 49 = 49 sec² @ - 7…

A: ∫1x2x2 + 49dx

Q: 3.29. Let A = 1 -2 0 21 4 0 If A is invertible find A-¹. Otherwise show that it is not invertible.…

A:

Q: Write an algebraic expression for e a number b divided by thirty-six 2 sixty-six subtracted from a…

A: Since you have posted many parts, according to policy we will answering you to the first three…

Q: Consider the Sturm-Liouville Problem x²?y" – 3xy + 4Xy = 0, (1) = 0 y(3) = 0 %3D (a) Find all…

A: “Since you have asked multiple questions, we will solve the first question for you i.e. (a). If you…

Q: Use the frequency histogram to complete the following parts. Female Fibula Lengths 0.25- (a)…

A: Solution :

Q: The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and…

A:

Q: Use the contingency table to the right to (a) calculate the marginal frequencies, and (b) find the…

A: Given : Observed frequency table:   Excellent Fair Poor Seats 100 or fewer 189 209 160 Seats…

Q: Please the attacthment for the question. Thanks

A: Firstly, we find A^2 by using the concept of matrix muliplication.

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

A: fx=14-x

Q: Please hand write this and write small explanations.

A: It is given that the mean θ=2.5 milligrams per liter.

Q: Use the frequency histogram to complete the following parts. Employee Salaries 300- (a) Determine…

A: Solution

Q: matical induction. teal number, and z >-1. Prove the following statement using mathe (1+)" 2 1 + nz

A: Let  P(n): (1+x)n >= 1+n.x Step1:  put n=1 P(1): (1+x)1 >=(1+1.x)     Since,…

Q: The graph of the annual snowfall distribution (in feet) for a particular county is shown below on…

A: According to the central limit theorem, the sampling distribution of the sample scores follows the…

Q: A 30° central angle in a circle is equivalent to radians. Drag a tile to each box to correctly…

A:

Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation…

A:

Q: 13. The given table represents a probability distribution. What is P(1) + P(4)? 1 3 4. 1 1 P(X) 1…

A:

Q: Assuming the population of interest is approximately normally distributed, construct a 99%…

A: Given,n=16x¯=15.6s=3.8

Q: Compare the (0) Q (i) three data sets on the right. 345678910 11 Data value 345678910 11 Data value…

A: Answer:-----.                                           Date:----22/09/2021 a) B) Data set (i)…

Q: Determine whether the approximate shape of the distribution in the histogram shown is symmetric,…

A: Here we have to know about skewness

Q: Without performing any calculations, determine which measure of central tendency best represents the…

A: The measure of Central tendency is mean, mode and median.