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A 9m length simple beam has a 3m overhang after the right end support carries a 30KN/m along the simple supported span and 54KN acting at the end of the overhang. Hinged support at the left end and roller at the right support. E=200GPa and 1=400x10^6 mm^4 Compute the deflection of the far end of the overhang using VIRTUAL WORK METHOD

 

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Given Yn+1 -- 2yyn + Yn-1 = 0, with y constant, determine when the solution will oscillate. O None of the available options 7>1 O O O O y = 1 7 = 0 -

A metal sphere of radius R is charged to a potential = Vo(@) = ? (5 cos? 6 – 3 cos 6). V,0) = { (scosºo - 3cose). V V is a constant. In spherical coordinates, the potential outside the sphere is: OV(r,0) = VE P2 (cose), Vir, 9) = V5P,(cose), where Pn (2)P_W) is the n p3 R? n-th order Legendre polynomial. V(r,0) = V P2 (cos ), Vír, 9) = v^P,(cose), where Pn (2)?yW) is the n R? 73 n-th order Legendre polynomial. Ov(r,0) = V. Pz (cose), Vír, O= v^P3(cosø), where Pn (2)P_W) is the n R n-th order Legendre polynomial. V(r, 6) = V** P3 (cose), Vir, 9) = v*P3(cosø), where Pn (2)P_W) is the n R n-th order Legendre polynomial.

Activity 3 - Application: In the paper A Study to Review Sex Ratio at Birth and Analyze Preferences for the Sex of the Unborn." by Warade et al., Journal of Obstetrics and Gynaecology of India a group of researchers perform a retrospective study analyzing the birth records at a hospital in Mumbai over a 6 year period. During that time period the researcher find that of the 29,603 recorded births 14,088 were female 1. Based on this data the resourchers want to make the claim that, the percentage of female births is not 50%" The will be testing their claim at the = 0.05 significance level. Setup the formal hypotheses for testing this claim. H: This test will be (circle one) H LEFT TAIL, RIGHT TAIL, TWO TAIL 2. Verify that the conditions for our hypothesis test are satisfied. 3. Compute the test statistic, o, of our observation and its p-value al p-value 4. Sketch and label the results below. 6. State the conclusion of your text and the interpret your conclusion in plein langen

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24.

Laboratory compaction measures two components, that is bulk density and moisture content.

Group of answer choices

True

False

25.

If soils are too dry to be compacted, moisture can be added by using vibrating rollers to sprinkle water on the surface.

Group of answer choices

True

False

29.

For highly plastic clays, max density occurs at higher OMC than well graded sand.

Group of answer choices

True

False

30.

Geogrid reduced pavement thickness because it provides horizontal tensile strain to support the traffic loading.

Group of answer choices

True

False

 

> - . 2 2 > 2 2 8. A = {a, b, c, d, e} B={<,>,1,\, *, %} F is a function on A defined as the following set: F= {(a, ), (b, *), (e,>), (c, %),(d,)} a. Draw an arrow diagram and answer the following: b. What is the range of F? c. Is F one-to-one? d. Is F onto? e. Does F have one-to-one correspondence?

 

= 3. The expectation (or average value) of a discrete random variable X is intuitively defined by E(X) = Xxx P[X = x]. Use the concept” about the definition of expectation for discrete case to explain why we define the expectation (or average value) of a continuous random variable, in which its distribution F(x) = P[Y < x] satisfies F'(x)=f(x), to be E(Y) = s y fyd y, -00 if the integral exists. (??? • Please see the next page)

Calculate the warranty expense for 2017 using the following information:
2017 sales $ 500,000 The sales have a 2 year warranty with an estimate of returns in year 1 of 3% and in year 2 of 7%

In a survey to determine the fraction p of supporters of a certain measure in a large population, we take a sample of size n. Suppose we know that 25% of the respondents will lie, and say exactly the opposite of what they think. It is a large populations, so we can assume that responses are i.i.d. r.v.’s Xi, each with the probability of positive answer which is the appropriate function of p. (I) Suppose k out of n respond that they support the measure, and find a method of moments estimator for the fraction p of supporters. (II) Is the estimator found in Part I unbiased? 

Question 4 In binary signal, the binary “” is mapped to so = A volts and binary “0” is mapped to S1 = B volts, where A and B are positive real numbers such that A > B. This binary signal is transmitted through an additive white Gaussian noise (complex) channel. The received signal r at the receiver is corrupted by a complex additive white Gaussian noise n, with mean 0 and variance o?. The probability of transmitting binary “l” is p and “O” is 3p. (a) Sketch the conditional PDFs f(r|so) and f(r|s?). Clearly label the sketch with appropriate values. (2 marks) (b) Use probability distributions to obtain the algebraic expressions for f(r|so) and f(r|si). (4 marks) Solve for the optimal detection threshold and rate the performance of the communication system by obtaining the probability of symbol error Pe in terms of Q function. Your answer must not contain the symbol p. (14 marks) (d) = = If A = 5, B = -5 and oß = 2, then give the detection threshold and rate the BER of the above system. (5 marks)