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A lawyer claims that the average years of settling criminal cases filed before courts is three and half years. To test the claim, a watchdog organization randomly selected 35 criminal cases and recorded the years the cases took before the courts have been endered verdicts. The sample mean was 4 years with a standard deviation of three and a half years. Do the data gathered by the said organization provide sufficient basis to accept the claim of the lawyer? Use 0.05 level of significance


Number of Inquiries (X) = 22 , 23 , 24 , 25 , 26 , 27 Probability P(X) = 0.08, 0.19, 0.36, 0.25, 0.07, 0.05 What is the mean? *

How is the friction effect taken into account at the turning and sliding pairs of a mechanism? Explain in detail.

Two hundred citizens in country X were asked about their support for three projects in the country, a hospital, a school and a market place. The following results were obtained 2 citizens support all the three projects,12 citizens support the hospital and the market 40 citizens support the school and the market, 30 citizens support the hospital,80 citizens support the school and 50 students support market place project, with aid of Venn diagram, Determine how many citizens in that country




i) Do not support any of three projects




ii) Support the hospital only




ii) Support neither the hospital nor the school




iv) Support at least two projects in the country

neutralisation question input should be +------+--- --+-+-++-- and output should be 0-0-0-++0-


Make it equal python program answer



In a Primary school N students are lined up in arow

The slope of the tangent line to the curve y = f(x) at (x,y) is y¹ = 10x²+5x. If (1,16) is a point on the curve

Using residue theorem evaluate ∲c e^z-1/z(z-1)(z-i)² dz where C is |z|=2

String matching



Input 1



3


Hello Hell*


Hell He*ll


Hell hell*


Output 1


True


True


False



Input 2


3


Hello *l?


Hell He? ll


Hell ? *



Output 2


True


False


True




Input 1


2315313134 5234423114


Output 1


hello world


Input 2


112234


Output 2


ago

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