Show that if x is a real number, then [x] – [x] = 1 if x is not an integer and [x] – [x] = 0 if x is an integer. Specify what type of a proof you use.

Q: Systolic (x) -— use Minitab - cut and paste your scatterplot below b) Compute the least-squares line…

A: Given:-             Blood measurement in mmHg for a sample of 16 adults:

Q: Show that the following function satisfies the properties of a joint probability mass function. fytx…

A:

Q: Your answer is incorrect. The differential operator (D- 7)4 annihilates the functions 37x

A: The operator (D-7)4 annihilates the function x3e7x

Q: Evaluate the line integral x¹ z ds, where C is the line segment from (0, 7, 5) to (7, 1, 2). C

A: We have to evaluate  where  is the line segment from  to

Q: 2. Let f(8) = 202, 0<8 <5; f(e) = f(0 + 5). a) Find the Fourier coefficients; and b) hence writef(0)…

A: Given function is f(θ)=2θ2, 0&lt;θ&lt;5;  f(θ)=f(θ+5) Here, period is T=5 Since,Fourier series of…

Q: Find the probability that Rebecca's fish are: (i) both the same sex (ii) both female (iii) both…

A: i) If the both fish are to be same sex then both can be male or female: (715*614)+(815*714)…

Q: The following data represent the responses (Y for yes and N for no) from a sample of 20 college…

A: The standard error of the proportion is the standard deviation of the sample proportions. The higher…

Q: If det(A) = 2, then det(A) = 32 True O False

A:

Q: The average percentage of failure in a certain examination is 40. What is the probability that out…

A:

Q: Verify by Mathematical induction Prove : n(n+1)

A: To prove:                                                                  ∑i=1ni3=nn+122 for all…

Q: 23. Let V be a vector space with the operations of scalar multiplication O and vector addition O.…

A: See the detailed solution below.

Q: Estimate the production for the years 2008 and 2010 with the help of the following table : Year…

A: We solve this question using least squares regression equation. First we find regression equation as…

Q: meis is takeh fröm a data set and those values (mm Hg) are listed below. The values are matched so…

A: Given data, For systolic: 96,125,145,99,146,100,103,117,144,126   For diastolic:…

Q: 35. Let A be an n x n matrix, and b and æ be vectors of size n x 1. Which statement below is NOT…

A: Solution: Options (e) is correct

Q: Is there a significant difference between the experimental (integrative approach) and controlled…

A: First we enter the given data in Excel, and then follow the following procedure.Enter Data &gt; Go…

Q: The temperature in Townhood varies between 19 and 75 degrees Fahrenheit during a typical day. Assume…

A: In the given question, the target is to find the relationship between the temperature and the time…

Q: A Ferris wheel is 45 meters in diameter and boarded from a platform that is 3 meters above the…

A: The height at any time t is given by                                  ht = h0…

Q: Example: the joint density for the random variables (X,Y), where X is the unit temperature change…

A:

Q: For a hypothesis test of the claim that the mean amount of sleep for adults is less than 8 hours,…

A: Introduction: The power of a test is the probability of correctly rejecting the null hypothesis when…

Q: P(-0.92 </=Z </= 1.87)= _____ O 75.09% O 70.95% O 79.50% O 79.05% P(z=0 to z=1.93)=____ O 47.32% O…

A: given data  standard normal distribution Z~N(0,1)

Q: Let --) - -() u = |3 and v = 2 5 where y E R. Then the value of y such that u and v are orthogonal…

A: Given that, u=23y and v=-125y∈ℝThe value of y such that u and v are orthogonal is calculated as…

Q: EXAMPLE 11.4 TABLE 11.1 In an experiment to determine the effect of nutrition on the attention spans…

A: The question is about ANOVA Given  :   To construct : ANOVA table

Q: The sample space listing the eight simple events that are possible when a couple has three children…

A: Given that : The sample space listing the eight simple events that are possible when a couple has…

Q: A company wants to test the claim that their batteries last more than 40 hours. Using a simple…

A: The random variable X follows normal distribution. We have to test whether the batteries last more…

Q: 27. In the vector space P. (set of all polynomials of degree < 2) the argument needed to deter- mine…

A: To determine the augmented matrix of arguments that are needed to determine the below vector in the…

Q: Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that…

A: Given problem Given that   Mean = x̄ = 66.8 Standard deviation= σ = 8.2 Sample size = n = 707…

Q: I need help with 51

A: Given polynomial is

Q: Determine which of the following transformations are linear transformations. A. The transformation T…

A:

Q: I. Classify the rcasoning employed in the following arguments as INDUCTIVE (I) or DEDUCTIVE (D). 1.…

A: We need to classify whether the following argument is inductive or deductive. We know that ,…

Q: a) Write out the distribution for Bob's situation above b) Find the probability that a portrait…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 7. One of two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and…

A: here as per NOTE given i jave calculated q.7 here define events  First box = F second Box  =S P(F) =…

Q: Use the following cell phone airport data speeds (Mbps) from a particular network. Find Pas 0.2 0.6…

A: GivenNo.of data points=50

Q: Example 2.8 The PMF of the number N of customers that arrive at a local li- brary within a one-hour…

A: