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1.In a box, there are 4 types [Hearts, Clubs, Diamonds, Scorpions] of cards. There are 6 Hearts cards, 7 Clubs cards, 8 Diamonds cards and 5 Scorpions cards in the box. Two cards are selected randomly without replacement.
a) Find the probability that the both selected cards are Hearts.
b) Find the probability that one card is Clubs and the other card is Diamonds.
c) Find the probability that the both selected cards are from the same type.
2.In a boys’ school, there are 45 students in grade 10. The height of the students was measured. The mean height of the students was 154 cm and the standard deviation was 2 cm. Alex’s height was 163 cm. Would his height be considered an outlier, if the height of the students were normally distributed? Explain your answer.
Write a python program to calculate the average of five numbers passed by users using function.
Write a program to gets 10 numbers from the user and counts how many of those numbers are greater than 10.
Illustrate the phase diagram of a substance given with the following points: a triple point at 0.70 atm and 80 ºC; a normal freezing point at 100 ºC; a normal boiling point at 350 ºC; and a critical point at 1.6 atm and 810 ºC. For this,
complete the following:
1. Roughly sketch the phase diagram, using units of atmosphere and degree
Celsius. Label the area 1, 2, and 3, and points T and C on the diagram.
2. Describe what one would see at pressures and temperatures above 1.25 atm and 300 ºC.
3. Describe the phase changes from 100 ºC to 200 ºC at 1.5 atm.
4. What exists in a system that is at 1 atm and 100 ºC?
5. What exists in a system that is at 1 atm and 325 ºC?
Calculate the formula mass of caso4. what is the molarity of caso4 in a solution containing 1.2 gram of cso4 in a volume of 50 ml how many grams of caso4 are in 50 ml of 0.086 m caso4?
Are the following statements true or false? Explain in each case. a. Two countries can achieve gains from trade even if one of the countries has an absolute advantage in the production of all goods. b. Certain talented people have a comparative advantage in everything they do. c. If a certain trade is good for one person, it cant be good for the other one. d. If a certain trade is good for one person, it is always good for the other one. e. If trade is good for a country, it must be good for everyone in the country.
A consumer’s utility function over goods X and Y is U(X,Y)=XY + 10Y. Suppose this
consumer has an income of $110, the price of good Y is $2, and the price of good X
is $1. What is the optimal consumption bundle (X*,Y*) for this consumer?
Suppose the area of a window on a passenger jet is doubled in size
and all else is kept constant. Compared with the original window,
what will happen to the rate at which heat passes out through the
new window from the cabin?
The temperature on the inside face of a glass window is 20.0 .C
while the outside temperature is 0.00 .C. The window is 100 cm
by 100 cm by 10.0 mm and has a thermal conductivity of 0.85
W/m.K. How much energy passes outward through the glass in
Suppose that the heat flow out of your 20°C home in the winter is 7
kW. If the temperature outside is -15° C, how much power P would an
ideal heat pump require to keep your inside temperature at 20° C?
#339914 on Dec 2023