You hypothesize that place cells that fire in sequence are recurrently connected with higher probability than would be expected randomly. Design an experiment to test this. Include all aspects of the experiment, including behavioral paradigm, physiological recording method, and method to determine connectivity between recorded neurons, in your answer.

Find the subgroup of d4 and the normal and non normal subgroups of d3 and d4 using u and v, u being the flips and v being the rotations.

Show that dg = -sdT + vdp is equivalent to dg = v(dp/dv)dv + (v(dp/dt)-s)dt gibbs energy equation

If the cell potential for a voltaic cell is 0.250 V, and the reduction potential for the oxidation reaction is ⎯0.150 V, what is the reduction potential for the reaction occurring at the cathode?

2. Identify the type of sampling used: self-response, random, systematic, convenience,

stratified, or cluster.

a. DTE survey 20 households in every city in

the County to learn about the costumer

satisfying level.

b. A sample consists of students with even

number Student’s ID.

c. A market researcher selects 100 people

from each state in the USA.

d. A pollster uses a computer to generate 500

random numbers, then interviews the voters

corresponding to those numbers.

e. To check the alcohol level of drivers,

police officers stopped every seventh car

passing through a side street near a

famous bar.

f. A University committee wants to know the

percentage of students who drive and text.

They survey all students majoring in History

and English.

g. A restaurant decided to give free

dessert for every 50th costumer dining

there.

h. A reporter writes the name of each US

senator on a separate card, shuffles the

cards, and then draws five names.

i. There are 4 bags of M&M in a box. One

consists of blue M&M, another bag has

red only M&M, the other two consists of

chocolate and yellow M&M respectively.

Lisa takes out 5 M&M from each bag to

create a sample of M&M.

j. A researcher conducts a survey by asking

100 randomly selected workers from each

category: no high school degree, high school

degree, more than high school degree.

k. A researcher wants to determine the

percentage of first grader still believe in

Santa Claus. He uses the first graders in

his son’s school as his sample.

l. A polling on Twitter asks its follower to rank

the work ethic of the congress from 1 to 5,

with 1 as the lowest and 5 as the highest

1. For the pair of species given:
   1. Lithium (E° = -3.05 V) and silver (E° = 0.80 V)
   2. Aluminum (E° = -1.66 V) and zinc (E° = -0.76 V)
      1. Write balanced half-reactions and the overall spontaneous reaction.
      2. Diagram the cell. Be a specific as possible including labeling electrodes with their charges and names (anode and cathode), showing the direction of electron flow in the circuit and showing the direction of cation and anion flow in the salt bridge.
      3. Calculate the cell potential for the overall reaction.
      4. Calculate the Gibbs free energy for the overall reaction.
      5. Write the standard cell notation for the overall reaction.
      6. Calculate K_eq for the spontaneous reaction.

Show that the moment of inertia of a spherical shell of radius R and mass M about an axis through
its centre is 2/3 MR2. Show also that the moment of inertia of a uniform solid sphere of radius R and

mass M is 2/5MR2. The spheres are allowed to roll (from rest), without slipping a distance L down
a plane inclined at a angle θ to the horizontal. Find expressions for the speeds of the spheres at the
bottom of the incline and show that ∆v/〈v〉 = 8.7% where ∆v is the difference in the speeds and 〈v〉 is

the mean of the two speeds. Which sphere has the larger speed?

Your driving time to work T (continuous random variable) is between 24 and 66 minutes if the day is sunny, and between 49 and 82 minutes if the day is rainy, with a uniform probability density function in the given range in each case.

Assume that a day is sunny with probability Ps = 0.64 and rainy with probability Pr = 1 -Ps.

Your distance to work is X = 50 kilometers. Let V be your average speed for the drive to work, measured in kilometers per minute:

V=T/X

Compute the value of the probability density function (PDF) of the average speed V at V = 0.67

A transportation engineer collected the data shown in the Table below. Develop a linear v-k model, and then establish v-q and q-k relationships. Draw v-k, v-q and q-k diagrams and depict all of the critical values (i.e., free-flow speed, jam density, maximum traffic flow, critical speed and density) in the three diagrams