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A. Find the length of the following confidence interval.

1. Upper limit = 0.995

  Lower Limit = 0.437

2. Upper limit = 394.14

  Lower Limit = 354.74

3. Upper limit = 0.02946

  Lower Limit = 0.02244

4. 0.475 < p < 0.735

5. 0.355 < p < 0.570


A consumer advocacy group suspects that a local supermarket’s 500 grams of sugar actually weigh less than 50 grams. The group look a random sample of 20 such packages, weigh each one, and found the mean weight for the sample to be 496 grams with standard deviation of 8 grams. Using 1% significance level, would you conclude that the mean weight is less than 500 grams? Also, find the 99% confidence interval of the true mean.


It was found that 90% of cucumber seeds sown in the soil germinate. Determine the most likely

number of germinated grains if there are 70 grains in the package.


Which philosophy of education claims that education mirrors the human condition?

a. empiricism

b. phenomenology

c. scientific rationalism Philosophy of Education

d. critical theory



U={1,2,3,4,5,6,7,8,9,10}



A={2,3,4,5,8}



B={2,4,6,8,10}



C={1,3,5,7,9}




Instruction: Solve the given below using the sets above



1.( (C U A)-B)’ ∩ (B’ U A)



2.(((BUA)’ U (CUA)’) U ((A-B)’ ∩ (B-C)’))

When 2.00 grams of KMnO4 (MW = 158.0 g/mol) is dissolved into 100.0 mL of solution,

what normality results? How many grams of KMnO4 are needed to make 500.0 mL of

a 0.200 N solution?


Convert 0.169 Molar HC2H3O2 to % (m/V).


One gram of sodium hydroxide pellets is dissolved in two hundred-fifty milliliters water.


What is the molarity, molality and normality of the solution? Assume that the density


of solution to be approximately that of the water and the density of sodium hydroxide


pellets to be 2.13 g/cm3


Using class name studgrade with public data members and functions, create a program that will allow user to enter students A's grades in her five(5) major subjects, compute and display for the average grade of the student.

In grade R to 2, learners are taught the language of position where they describe the position of one object in relation to the other. Plan a short guided activity where learners' knowledge of this aspect is reinforced. Structure your response as follows: . State the Grade you chose and the outcome of the activity . Provide a description of the activity

. State three stimulating questikns you will ask your learners.

State the apparatus/pictures that will be used and explain how these will be used.


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