Ken has a coin that has probability 1/5 of landing Heads.

   Mary has a coin that has probability 1/3 of landing Heads.

   They toss their coins simultaneously, repeatedly.

Let X be the number of tosses until Ken gets his first Heads.

Let Y be the number of tosses until Mary gets her first Heads. Find:

Let U = min(X,Y) and V = max(X,Y)

(d) For k = 1, 2, 3,... , find a formula for P(U = k).

(e) For k = 1, 2, 3,... , find a formula for P(V > k). HINT: Inclusion-Exclusion.

The spin cycles of a washing machine have two angular speeds, 416 rev/min and 632 rev/min . The internal diameter of the drum is 0.560 m

Part A

What is the ratio of the maximum radial force on the laundry for the higher angular speed to that for the lower speed? (F higher/F lower)=?

Part B

What is the ratio of the maximum tangential speed of the laundry for the higher angular speed to that for the lower speed? (V higher/ V lower)=?

Part C

Find the laundry's maximum tangential speed . (m/s)

Part D

Find the laundry's maximum radial acceleration, in terms of g . (a rad=? g)

63. Human ageing is a rapidly evolving area of health research because (select all that apply):

1. Nutrition and its potential impacts on lifelong health is better understood today.
2. Genes can be easily modified in humans to prolong life.
3. Epigenetics is increasingly important in predicting lifelong health.
4. We can better predict the risks of disease via genetic studies.
5. All people are now more likely to understand and apply information about healthy choices.

Select one:

A. I, IV, V

B. I, II, III, IV, V

C. II, III, IV

D. I, III, IV

In the “old days”, televisions were made from Cathode Ray Tubes whereby a beam of
electrons rapidly swept across the inside of the screen as a result of strategic deflections
from magnetic fields acting on the beam. Suppose that Frank has a massive 2000 inch
TV in which the image has to be updated 100 times per second (to minimize the
appearance of “flicker”) and that there are 100,000 rows.
(a) Show that the electron beam moves across the screen with a speed v  c .
(b) Explain why this superluminal speed does not contradict relativity. In particular, why
can’t information be transmitted from one side of the screen to the other with v  c ?

For the sentences in (1):

1. Identify each V:

   o Give its subcategorization frame (based on the sentence it appears in).

2. o List the thematic roles it assigns.

For example:

Ex. John hit Bill in the mouth
hit - V [ ___ NP ] (Agent, Theme)
[NP John ] – Agent, [NP Bill ] – Theme, [NP the mouth ] – Goal

(Theta-roles are discussed in the textbook in the semantics chapter, on pages 158-161.)

(1)

a. The torpedo sank the boat
b. The captain sank the boat with a torpedo
c. A brick fell from the sky onto Fred’s big toe
d. Bill heard that John joined the army from Mary

The solid rod shown here has a radius of ?. If it is subjected to the force of ?? at B point, answer the following questions.

Use ??=700 ??; ???=11 ??; ???=15 ??; ???=8 ??; ?=0.7 ??

1. (a) Determine the internal loadings, T, M and V on the sectioned area; see the free body diagram (ii) (5 pts)
2. (b) Determine the shear stress developed by the shear force (V) at A point (5 pts)
3. (c) Determine the normal stress developed by the bending moment (M) at A point (5 pts)
4. (d) Determine the shear stress developed by the torque (T) at A point (5 pts)
5. (e) Determine the stress components at A, ??,?? (5 pts)

Calculate the standard cell potential for each of the following electrochemical cells.

Part A

Ni2+(aq)+Mg(s)→Ni(s)+Mg2+(aq)

Express your answer using two decimal places.

E∘cell = _____  V

Part B

2H+(aq)+Fe(s)→H2(g)+Fe2+(aq)

Express your answer using two decimal places

E∘cell =_______ V

Part C

2NO−3(aq)+8H+(aq)+3Cu(s)→2NO(g)+4H2O(l)+3Cu2+(aq)

Express your answer using two decimal places.

E∘cell = ________V

. In a device (figure 30-6) that is used to measure the maximum kinetic energy of photoelectric effect electrons, the voltage difference between the collector and emitter is increased until the current flowing through the circuit goes to zero. This is called the stopping potential and the KEmax can be very simply calculated if you use electron-volts. Using this device, you measure this voltage to be 0.710 V for electrons emitted from a surface illuminated by 492-nm light. Then, when you change the incident light to a new wavelength value, the new voltage is 1.41 V. a)What is the new wavelength? b) What is the work function for the surface?

We are using javaCC notation.This is the full question

Given the following grammar:

• String ::= "A" ( "B" | T | V )+
• T ::= ("X" T ) | "Y"
• V ::= ( "C" | "D" )*

Which of the following strings are correct according to this grammar?

Group of answer choices

A C C D X X Y

X X Y

A B C D

A X

A B C D

A C D C

A B C D X Y

A X X X

A X Y X C D

A B X X Y

B C D

A

B X X Y