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Inregrate "\\int \\frac{\\cos x dx}{\\sin^2 x}"
e) A diatomic gas has a density of 1.25 g/L at STP. Calculate its molar mass and identify the gas.
What is the molality of para-dichlorobenzene in a solution prepared by dissolving 2.65g C6H4Cl2 in 50.0 mL of benzene (d=0.897g/mL)?
What is the force of gravity between two sacks of rice and corn with a masses of 50.0 kg and 68.0 kg separately by 15.0 m?
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An electrically neutral metallic solid undergoes induction after which it loses l0'electrons. What is
the total charge on the metallic solid?
The furnace wall consists of 200m of fire brick and 115m insulating brick having thermal conductivity of 0.7m and 25w/m² respectively. Calculate the heat transfer per metre square of the furnace wall when the temperature difference across the slab is 500°C
If A=6i-8j , B=8i+3j and C=26i+19j determine a and b so that aA+bB+C=0
suppose that A,B,C and D are matrices with the following sizes: A(5 x 2) B(4 x 2) C(4 x 5) D(4 x 5)
determine in each of the following case whether a product is defined. if it is so then give the size of the resulting matrix.
i) BD
ii) AC - B
iii) DC + A
A taxi driver claims that his average monthly income is Php 2, 800.00 with a standard deviation of Php 250.00 . A sample of 25 drivers were surveyed and found that their average monthly income is Php 3,500.00with a standard deviation of Php 350.00.Test the hypothesis at 1% level of significance.
A. Solve the problems by following the steps and procedures in hypothesis testing. (20 points)
1. A school teacher suspects the claim that the mean number of students that use library
materials in a certain school is at most 450. To check the claim, the professor checks a
random sample of 100 library records and obtain that the mean number of students
using library materials is 458 with a standard deviation of 9. What would the teacher's
conclusion use 0.05 level of significance? (10 points)
2. prospective MBA student was made to estimate the difference in the salaries of
professors in private and state universities. An independent study of simple random
samples of the most recent MBA graduates of both universities revealed the following
statistics: Conduct a test using 0.01 level of significance. (10 points)
Salary x¯ s n
Private 52,285/mo. 2,400 49
State 50,188/mo. 2,100 49
