An ASU student spends (in normal times) an average of 1.2 hours to get to campus with a standard deviation of 0.2 hours.

1. (a) (6 pts) Find the probability the average daily commute time for a period of 36 working days is between 1:15 in 1.25 hours.

2. (b) (6 pts) Find the probability the total commute time for the 36 days is less than 40 hours.

3. (c) (5 pts) What assumptions are necessary for the answers in parts (a) and (b) to be valid approximations.

You are required to prepare standard standards for a calibration curve. All the glassware and pipettes your method requires have a tolerance (RSD) of 0.05%. You start working solution of 0.2 M analyte. Remove 10.0 mL of that solution with a pipette, add it to a 100 mL volumetric flask and dilute it to the mark. Remove 25.0 mL of the newly prepared (diluted) standard, add to a 500.0 mL volumetric flask, and dilute it to the mark. Report the concentration of standard in the 500 mL flask with uncertainty.

Generate 200 random numbers using each of the following continuous distributions and plot the histograms

(a) Uniform (use A = 3 and B = 7)

(b) Exponential (use population mean = 0.2)

(c) Gamma (use parameters 3 and 2)

(d) Normal (use µ = 2 and σ = 5)

Attach the histogram plots and reflect on what you observe. Hint: Use RAND() to generate uniform random numbers and use inverse CDF to generate random numbers for each distribution.

Q1: Explain under what circumstances eddy currents occur, and what is their direction.

Q2: Explain how magnetic braking works.

Q3: Define magnetic flux. What, if anything is flowing?

Q4: Accurately describe Lenz's rule and give an example.

Q5: If a MRI experiences the current breakdown over a period of 0.2 seconds, meaning, the magnetic field drops from 3 T to 0, what currents can one expect in patient's body? Cf. Example 30.9

Course: Soil mechanics
Theme: Fellenius Method
There is a soil with the following characteristics: cohesion of 0.4 kg / cm2, friction angle 33 ° and dry density of 1.7 gr / cm3 and when saturated, effective cohesion of 0.2 kg / cm2, effective friction angle of 24 °. and a saturated density of 2.2 gr / cm3. The slope under evaluation has a 38 ° inclination, the rocky layer is 11 meters away, finding the stability of the slope in a dry and saturated condition, in addition to evaluating the critical height.

Ii the image, a toroidal solenoid is made of 100 turns of loops. The cross section of this solenoid is a square with sides of 2(mm). The radius of the solenoid circle is r= 2(cm).A- Calculate the self-inductance of this toroidal solenoid.B- If this solenoid is conneted with a 100 (Ω) rsesitor in series to a DC power supply, what is time conatnt of this RL circuit?C- When the current reaches the maximum value of , a magnetic energy of 0.2 (J) is stored in the ??solenoid. What is the volatge of power supply?

The isoelectric point (pI) of a peptide is the pH at which the peptide does not migrate in an electric field. Since the peptide is zwitterionic, there are the same number of positive charges as negative charges on the peptide population. The pI can be estimated fairly accurately (within 0.1 or 0.2 pH units) from the pK values of all the proton dissociable groups in the peptide. Using pK values from the table at the right, estimate the pI value of the following hexapeptide: Gly-His-Glu-Lys-Phe-Cys

Sampling 2 periods of each signal in (below) with 100 samples and plot the signal with respect to the same frequency reference signal cos(ω₀t):

a.x_a(t)=50sin(100t+0.2)

b.x_b(t)=25cos(5000t−π/4)

c.x_c(t)=50sin(1000t+ π/4)−20cos(1000t−0.5)

d.x_d(t)=30sin(3000(t−5×10⁻⁵))

e.x_e(t)=25cos(5000t−2.25π)

f.x_f(t)=−25cos(5000t+3π/4)

You go out to the barn and start up the egg collecting machine. Eggs slide down a 30 degree ramp with a coefficient of kinetic friction of 0.2. What is the acceleration of the egg as it moves down the ramp?

If the ramp is two meters long, how fast are the eggs moving when they hit the bottom?

If we assume that the eggs are spherical with a radius of 3 cm, mass 200 grams and roll down the ramp instead of sliding, now recalculate how fast they are moving when they reach the bottom.

Venom production in your rattlesnake population has a phenotypic mean of 400 mg, a phenotypic standard deviation of 36 mg, and a narrow-sense heritability of 0.25. The mean generation interval is 2 years. If you perform phenotypic selection by culling the bottom 10% of individuals each generation (i = 0.2), approximately how many years will it take for your population to reach a phenotypic mean of 450 mg?

Explain how 56 is the correct amount of years to reach a mean of 450mg