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Consider the reaction MnO2 + 4HCl → MnCl2 + Cl2 + 2H2O. If the both the


reactants have a mass of 100 grams, which of the two will be used up first? How


many grams of MnCl2 will be produced after the reaction? (MnO2 =


86.94 g/mol, HCl = 36.46 g/mol, MnCl2 = 125.8 g/mol)


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Find the truth value of the statements using the given domain of discourse.

1.Suppose P(x) is the predicate x + 2 =2x and the domain is a set of {1,2,3}.

2.If P(x) is the predicate x2-3x-4=0 and the domain is a set of {1,2,3,4}.



The average weight of 25 chocolate bars selected from a normally distributed population is 200 grams with a standard deviation of 10 grams. Find the point estimate and the confidence interval using 95% confidence level.


What are the two things you should do before you start finding the equation of the regression line?

A population consisting of 6 measurements 4 ̧ 5 ̧ 8 ̧ 12 ̧ 9 and 12.

a. Solve for the mean of the population.

b. Solve for the variance of the population.

c. Suppose samples of size 4 are to be taken from this population ̧ what is

the mean of the sampling distribution?

d. What is its variance of the sampling distribution?

e. What is the standard error of the mean?

f. Determine whether the estimate for the population mean is good or bad.

Support your answer.


A 5.5 x10⁴ kg airplane is flying at 85m/s at an altitude of 1.2x10⁴m. Find the plane's



(a) Potential energy ,(b) kinetic energy,and (c) Mechanical energy



Given: m=5.5x10⁴kg



v=85m/s



h=1.2x10⁴m

500 children participated in a field demonstration. Their heights averaged 105 cm with a standard deviation of 5cm. How many children belong to upper 15% of the group.

A 500-turn solenoid have a cross-sectional area 20 m^2. If its self-inductance



is 20H, then find the length of the solenoid.

A long solenoid has 500 turns. When a current of 2 A is passed through it, the


resulting magnetic flux linked with each turn of the solenoid is 4×10


−3 Wb. find


self-inductance.

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