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What can be reflection on teaching practice?

Find the area under the normal curve. Draw the illustration.



z=–2.37

Reflection on teaching practice

Find the area under the normal curve. Draw the illustration



z=1.03

Atmospheric pressure on the peak of Kilimanjaro can be as low as

0.20 atm. If the volume of an oxygen tank is 10.0L, at what

pressure must the tank be filled so the gas inside would occupy a

volume of 1.2 x 103L at this pressure?


A nationwide survey found out that the average time that college students spent on their personal computer is 10.5 hours per week. A random sample of 28 college students showed that they spent 8.5 hours per week using their computers with a standard deviation of 1.2 hours. Test whether the average number of hours spent by the 28 college students is significantly lower than the national average of 10.5 hours. Use a level of significance of 5%

The perimeter of a quarter circle is 7.14 kilometers. What is the quarter circle's radius?


Yash has a sequence of 26 distinct integers P = (P₁, P2, ..., P26)

consisting of integers from 1 to 26. He constructs a string

S following the below rule:

• For every i where (1 <=i<= 26), the i-th character of

S is the lowercase English letter at comes P₁-th in

alphabetical order.

Your task is to output the resultant string S


Proper Fractions



Given 2 fractional values A/C. B/D where A, B are numerators and C. D are denominators. You are asked to add two fractional values. If the sum gives proper fraction as output print the proper fraction. If it is improper, convert it into a mixed fraction and print it. If it is a whole number, print it.



Input



The first line of input contains two space-separated strings A/C &B/D



Output



The output should be a string of format p/q if the result is a proper fraction



a b/c if the result is a improper or med fraction


a if the result is a whole number

Discount Sale




It is a Summer Discount sale in Mumbai and all the local shops have put up various offers. Arjun selected N items to buy. While standing in the billing queue, he noticed the offer "Buy two! Get two FREE!!". This means that for every two items he buys, they give him two items for free. However, items can be of varying prices, they always charge for the two most costly items and give the other two as free. For example, if the items cost 1, 1, 2, 2, then you have to pay four rupees and take all four items.




Arjun is confused with grouping his items to reduce the total price ho has to pay. Your task is to find the minimum price Arjun has to pay to buy all the N items.

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