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1. Write a C program that finds the smallest among the five integers inputted by the user. 

2. The following program determines the proper fare of a passenger with the following data: 

a.) Senior citizens and PWD enjoys 25% 

b.) Students enjoys 15% 

c.) Regular passengers have to pay the regular fare 



Express the standard reaction enthalpy of the reaction, C2H6 (g) + 7/2 02 (g) --> 2C0(g) + 3 H2 0(1). Given the standard enthalpy for formation of C2H6, CO2and H2O are -84.6, -393.5 and -285.8 kJ mol-1 respectively.



The enthalpy of combusbon for methane at 298.15 K is -726.1 kJ mol-1 .What is its enthalpy of

formation? (given: ∆Hf (C02 ) =-393.5 kJmol-1

and ∆Hf (H2O) = -285.8 kJmol-1·.


A brick is dropped from 100 m up. Find its impact velocity and air time


Verify that 𝑦1(𝑥) = 1 and 𝑦2(𝑥) = 𝑥^(1/2) are solutions of the differential equation 𝑦𝑦′′ + (𝑦′)^2 = 0 for 𝑥 > 0. Then show that 𝑦 = 𝑐1 + 𝑐2𝑥^(1/2) is not, in general, a solution to the equation. Explain why this does not contradict superposition principle.


Random sample of n=2 are drawn from a finite population consisting of the numbers 5,6,7,8,and 9

A.Find the mean population

B.find the standard deviation of the population

C. Find the mean of the sampling distribution of the sample means.

D.FIND The standard deviation of the sampling distribution of the sample means

E.Verify the central limit theorem



The reaction between solid white phosphorus and oxygen produces solid tetraphosphorusdecoxide (P4O10)



A. Write the balanced chemical equation of the reaction


b. Determine the mass of tetraphosphorusdecoxide (P4O10) formed if 26.0 g of phosphorus (P4) and 49.5 g oxygen (O2) are combined.


C. How much of the excess reactant remains after the reaction stops.

A coordinator of a degree program in a university assessed a probability distribution for the number of students (x) entering into the program as follows:


X 30 45 60 65 90 100

f(x) 0.10 0.20 0.20 0.30 0.10 0.10


(i) Is the probability distribution valid? Explain


(ii) What is the probability of 60 or fewer students entering into the program?  


A research firm conducted a study in 2014 and found that 40% of Internet users

received more than 10 emails per day. A similar study on the use of email

repeated in 2016.

i. Formulate the hypotheses that can be used to determine whether the

proportion of Internet users receiving more than 10 emails per day

increased in 2016.

i i. In a sample of 450 Internet users found 190 receiving more than 10 emails per

day, what is P-value?

iii. At a = 0.05, what is your conclusion?


(C) Consider the following hypothesis test:

Ho; = 10

H A : not equal to10

A sample of 50 provided a sample mean of 9.80. The population standard deviation is

4.

i. Compute the value of the test statistic.

i i. What is P-value?

iii. At a = 0.10, what is your conclusion?


Suppose that the continuous random variable x has the probability density function


f(x) = 1/2e−|x| , −∞ < x < ∞


find the m.g.f of x and use it to find E(x) and V ar(x).

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