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Find all trees T where 75% of the vertices of T have degree 1 and the remaining 25% of the vertices have another degree.(a fixed degree)


Find all trees T where 75% of the vertices of T have degree 1 and the remaining 25% of the vertices have another degree (a fixed degree)


In a series RL circuit, L = 4H, R = 100 ohms and E = 200V . Find the values of current as a function of time. Assume that the initial current is zero. Find the current when t = 2 secons.

Find all trees T where two-thirds of the vertices of T have degree 1 and the remaining one-third of the vertices have degree 3.


A certified public aacountant claims that more than 30% of all accountants advertise. A sample of 400 accounts in Rizal province showed that 112 had used some form of advertising. At a a=0.01,is there enough evidence to support the claim? (Use p-value method).

Solution:

Step 1:State the hypothesis.

H0:

H1:

Step 2:Compute for the value of one sample t test.zcomputed=

Step 3: Compute for th3 p-value.

Step 4:Decision rule:

Step 5: Conclusion


An inductance of 1 henry and a resistance of 1 ohm are connected in series with a constant e.m.f. of E volts. If 10 A after 5 seconds, find E

An inductance of L Henrys and a resistance of 10 ohms are connected in series with e.m.f. of 100 volts. If the current is initially zero, and is equal to 9 amperes after 1 second , find L and find the current after 0.5 second

The following data show the probability distribution of the number of speakers sold daily in an appliance shop during the past several months, X={0, 1, 2, 3, 4, 5} P(X)={.07, .18, .27, .19, .08, .21}, what is the probability that at most 4 speakers will be sold?

In cooking class, Maya measures a stick of butter. It is 13 centimeters long, 3 centimeters wide, and 3 centimeters tall. What is the volume of the stick of butter?


Find the dy/dx and simply the result, if possible



a. y=√x-1/√x


b. y=x²+π²+xπ


c.y=x² sec x


d.y=sinx-1/cosx


e.y=1/ex+2

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