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A cow is tied to one of the corners of the square field who side is 55 meters long.If the length of the rope is a tenth of the side field, what is the area of the field that is not grazed in cm2?

A customer in a store is purchasing five items. Design a program that asks for the price of each item, and then displays the subtotal of the sale, the amount of sales tax, and the total. Assume sales tax is 6%


A company has developed a new battery. The engineering department of the company claims that each battery lasts for 200 minutes. In order to test this claim, the company selects a random sample of 100 new batteries so that this sample has a mean of 190 minutes. Given that the population standard deviation is 30 minutes, test the engineering department’s claim that the new batteries run with an average of 200 minutes. Use 1% level of significance.


Which is the correct null hypothesis that can be derived in the situation?

Which is the correct alternative hypothesis that can be derived in the situation? 

What test will be used based from the given values in the situation? 

What is the decision based from the critical value and the computed test statistic?


What distance separates two objects of equal mass (5 kg) that are experiencing a gravitational force of 100 N?



In an advertisement, a certain brand of shampoo is claiming that

the use of this product will make the hair grow faster. It is known

that the mean length of growing hair over thirty days is 2 cm. What would be its H0 and H1?


1. A one-dimensional array that contains six (6) names of your classmates. Then, print the names using a foreach loop.



2. A two-dimensional array with two (2) rows and three (3) columns. Then, initialize the array with the first six (6) letters of the alphabet as its elements.



3. A string with any message. Then, determine if the message contains the string, "hello".

The federation of private school teachers has developed a

new evaluation instrument that they claim has higher

reliability by producing less error in evaluation. In the past, the

mean number of errors in the evaluation was 20%. What would be its H0 and H1?


There are five card in a box containing the numbers 1,3,5,7 and 9. A sample of size 3 is to be drawn at a time. Construct the sampling distribution of the mean.


a.) How many possible samples can be drawn?

b.) List all the possible samples and the corresponding means.

c.) Construct the sampling distribution of the sample means.

d.) Draw the histogram for the sampling distribution of the sample means.

e.) What is the shape of the histogram of the sampling distribution of the sample means?


Suppose you’re developing an application which stores a user’s browser history. Explain which collection class will help to retrieve information of the last visited page?

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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