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An open tube is attached to a tank as shown. If the water rises to a height of 800mm in the tube, what are the pressure a and b of the air above water? Neglect capillary effects in the tube

GIVE ME MY CHANGE in PYTHON!




The coins and bills in the existing Philippine Monetary System are




given below.




Coins




Bills




5 centavos




10 centavos




20 pesos




50 pesos




25 centavos




1 peso




100 pesos




200 pesos




5 pesos




10 pesos




500 pesos




1000 pesos




Given a change in pesos, create a Python script which will decompose the input CHANGE in terms of the largest possible amount in bills/coins.

Discuss the regulation of cell volume

DIRECTION: Find the mean, variance, and standard deviation of the discrete random variable X with the following probability distribution.(5 points each)



1.



X P(X)



0 0.2



1 0.3



2 0.2



3 0.2



4 0.1



2.



X P(X)



0 0.004



1 0.435



2 0.355



3 0.206



3.



X P(X)



1 0.1



2 0.1



3 0.6



8 0.13



19 0.07



4.



X P(X)



6 0.1



8 0.11



9 0.61



10 0.09



11 0.09










 American and Japanese workers can each produce 4 cars a year. An American worker can produce 10 tons of grain a year, whereas a Japanese worker can produce 5 tons of grain a year. To keep things simple, assume that each country has 100 million workers.

  1. For this situation, construct a table analogous to the table in Figure 1.
  2. Graph the production possibilities frontiers for the American and Japanese economies.
  3. For the United States, what is the opportunity cost of the car? Of grain? For Japan, what is the opportunity cost of a car? Of grain? Put this information in a table analogous to Table 1.
  4. Which country has an absolute advantage in producing cars? In producing grain?
  5. Which country has a comparative advantage in producing cars? In producing grain?
  6. Without trade, half of each country’s workers produce cars and half produce grain. What quantities of cars and grain does each country produce?
  7. Starting from a position without trade, give an example in which trade makes each country better off.

Let the mean concentration of particulate matter collected on filter paper is

45.6 ppm, with the standard deviation is 4.4 ppm. Find the probability that the

mean concentration of particulate matter in a sample of 87 filter papers will be

within 47 ppm of the guideline level.



Rainfall data were collected for 12 months at Location A in mm, Jan 209, Feb

174, Mac 268, Apr 300, May 246, Jun 174, Jul 183, Aug 219, Sep 243, Oct 308,

Nov 373, Dec 284. According to the Department of Irrigation and Drainage

report, the average rainfall for the year of 2019 was 300mm. Find the T-score of

this sample.



Body temperature is known to have normal distribution among healthy adults.

A researcher collected data from a random sample of 20 healthy adults. It was

found that the sample temperatures have a mean of 88.4oF and a sample

standard deviation of 0.3oF.

identify the degrees of freedom (DF) for this study.







An analysis of the monthly allowances received by a sample of five engineers from a telco company has been conducted recently. The mean and median of the allowances is RM7000. A unimodal among the observations is RM12,000. Find the standard deviation if the allowances paid to each engineer were in full thousands. 


A solid steel bar of diameter d1 = 25.0 mm is enclosed by a steel tube of outer diameter d3 = 37.5 mm and inner diameter d2 = 30.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L = 550 mm, is twisted by a torque T = 400 N-m acting on the end plate.


(a) Determine the maximum shear stresses Ƭ1 and Ƭ2 in the bar and tube, respectively.


(b) Determine the angle of rotation ϕ (in degrees) of


the end plate, assuming that the shear modulus of


the steel is G = 80 GPa.


(c) Determine the torsional stiffness kT of the


composite bar.

a) Let the mean concentration of particulate matter collected on filter paper is 45.6 ppm, with the standard deviation is 4.4 ppm. Find the probability that the mean concentration of particulate matter in a sample of 87 filter papers will be within 47 ppm of the guideline level. (4 marks) b) Rainfall data were collected for 12 months at Location A in mm, Jan 209, Feb 174, Mac 268, Apr 300, May 246, Jun 174, Jul 183, Aug 219, Sep 243, Oct 308, Nov 373, Dec 284. According to the Department of Irrigation and Drainage report, the average rainfall for the year of 2019 was 300mm. Find the T-score of this sample. c) Body temperature is known to have normal distribution among healthy adults. A researcher collected data from a random sample of 20 healthy adults. It was found that the sample temperatures have a mean of 88.4oF and a sample standard deviation of 0.3oF. i.



If two electrons are 1.50 x 10^-10 m each from a proton, find the magnitude and direction of the net electric force they will exert on the proton.


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