Numerade

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Males and females were asked about what they would do if they received a $100 bill by mail, addressed to their neighbor, but wrongly delivered to them. Would they return it to their neighbor? Of the 69 males sampled, 52 said yes and of the 131 females sampled, 120 yes. Does the data indicate that the proportions that said yes are different for male and female at a 5% level of significance? (That is, the alternative hypothesis is two-sided.) Find the p-value.

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Which of the following is NOT one of the national credit repositories most used today to obtain credit scores for prospective borrowers? O FICO O Experian O Equifax O TransUnion

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We want a speed of 56.6 m/s from the nozzle of the fire hose at 10 m height. What must the pump pressure be?

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2. (36 points) Suppose there are 5 monkeys jumping on the bed. Three are rhesus monkeys and two are chimpanzees. The rhesus monkeys are crazy and wild and each one has a 20% chance of falling off and bumping their head. The chimpanzees are calm, but they are still jumping on the bed and they each have a 10% chance of falling off (and bumping their head). (a) (12 points) Let $B$ be the number of monkeys who fall off the bed and bump their head. Find $E[B]$. (b) (12 points) Find the probability that AT LEAST 1 monkey falls off the bed. In other words, find $P(B > 0)$. (c) (12 points) Find $P(\text{zero chimpanzees fall off the bed}|B > 0)$

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A 20,000-kg truck is moving at 110 km/h. An 80.0-kg astronaut is in orbit moving at 27,500 km/h. (a) What is the kinetic energy of the truck (in units of J)? A 20,000-kg truck is moving at 110 km/h. An 80.0-kg astronaut is in orbit moving at 27,500 km/h. (b) What is the kinetic energy of the astronaut (in units of J)? A 20,000-kg truck is moving at 110 km/h. An 80.0-kg astronaut is in orbit moving at 27,500 km/h. (c) Compare the astronaut's kinetic energy (KA) with the truck's kinetic energy (KT) [i.e. find the ratio KA/KT]. In other words, how many times greater is the astronaut's kinetic energy than the truck's kinetic energy?

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3) Consider a 30-year bond with semiannual coupons paid at a nominal annual rate of 8%. One and half years after issue (that is, immediately after the third coupon payment is made), you purchase the bond. You do not know the par value or the yield. However, your accountant tells you that you will need to report bond amortization of 11.359 over the next six months and 11.714 over the following six months. Find the yield of the bond at purchase. a) 5.00% b) 5.50% c) 5.75% d) 6.00% e) 6.25%

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Express the homogeneous 3D transformation defined by the matrix $\begin{pmatrix} 0 & -1 & 0 & 2 \ 1 & 0 & 0 & 3 \ 0 & 0 & 1 & 4 \ 0 & 0 & 0 & 1 \end{pmatrix}$ as a sequence of transformations in the following ways: • A rotation followed by a translation. • A translation followed by a rotation. Solution: $\begin{pmatrix} 1 & 0 & 0 & 2 \ 0 & 1 & 0 & 3 \ 0 & 0 & 1 & 4 \ 0 & 0 & 0 & 1 \end{pmatrix}$$\begin{pmatrix} 0 & -1 & 0 & 0 \ 1 & 0 & 0 & 0 \ 0 & 0 & 1 & 0 \ 0 & 0 & 0 & 1 \end{pmatrix}$ $\begin{pmatrix} 0 & -1 & 0 & 0 \ 1 & 0 & 0 & 0 \ 0 & 0 & 1 & 0 \ 0 & 0 & 0 & 1 \end{pmatrix}$$\begin{pmatrix} 1 & 0 & 0 & 3 \ 0 & 1 & 0 & -2 \ 0 & 0 & 1 & 4 \ 0 & 0 & 0 & 1 \end{pmatrix}$

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SECTION A: Short Answer Responses Directions: Answer ALL ITEMS in this section. Write your responses on the blank pages provided. 1. What are business resources? Give examples. (2mrks) 2. List six (6) hazards and associated risks a work team may be exposed to. (3mrks) 3. How can risks be controlled in the work area using the hierarchy of control? (5mrks) 4. In providing specifications for products or services, list five (5) things that should be noted. (5mrks) 5. List five (5) methods of communication that can be utilized when conducting negotiations. (5 mrks)

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Assume L = 1 H, C1 = 0.2 F, C2 = 0.5 F, R = 1 \Omega in the circuit shown below. Find the transfer function H(s) = Vo(s)/Vin(s).

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Consider a unity feedback control system whose open loop transfer function is \begin{equation*} G(s) = \frac{K}{s(s^2+s+0.5)} \end{equation*} Determine the value of the gain K such that the resonant peak magnitude in the frequency response is 2dB.

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jennifer f.