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A system takes in 0.380 kJ of heat while it does 0.790 kJ of work on the surroundings. What is the change in internal energy of the system?

What are some factors which can affect the results of fecalysis?

write (2-i)(4-3i)^2/3+2i in the form a+bi where a,b,er.


1) Find the area bounded by the curve y=9-x and the x axis.




a) Horizontal Strip





b) Vertical Strip

Given the two planes x - y + 2z = 0 and 3x + 2y - 6z + 4 = 0. Find a parametric equation for the intersection.


Through careful record keeping, you have the times to burn out of 100 Bright brand light bulbs. The average time to burn out is 200 hours, with a standard deviation of 12 hours. Give a 95% confidence interval for the mean time to burn out of this brand of light bulb.


If the systolic pressure for a certain group of obese people has mean of 132 and a standard deviation of 8, find the probability that a randomly selected person will have the following blood pressure. Assume the variable is normally distributed.



a. Above 130



b. Below 150



c. Between 125 - 158

The leader of the jeepney drivers’ association claims that the average daily take-home pay of all jeepney drivers in Pasay city is Php 400.00. A random sample of 100 jeepney drivers in Pasay city was interviewed and the average daily take-home pay of these drivers is found to be Php 425. Use a 0.05 level of significance and assume the standard deviation is Php 92.

 Ծ = 92          Ẋ = 425           ﬠ = 400           n = 100         level of significance = 0.05

 

1. State the hypothesis

  Ho: u = 400

  Ha: u ‡ 400

 

2. Type of test: Two-tailed test

 

 

3. Critical Value

 

 

4. Test statistics

 

 

5. Reject or accept the null hypothesis


Write a complete C++ program that • Creates a 12 element integer array containing elements between 0 and 20 using the rand function. • After creating the array, sort it using any of the sorting methods then ask the user to guess a number between 0 and 20. • To search if the number is in the array, create a menu: 1: Linear 2: Binary. The different search algorithms are to be created in separate Functions. • int LinearSearch(int list[], int size, int value) • int BinarySearch(int list[], int size, int value) • if it is guessed number is found the chosen function should return the index of the value to the main function, then the main function should sshow index and value to the user


2. Assume that the weights of a teenager were normally distributed with the mean of 63 kg. and a standard deviation of 2.5 kg.



a. What is the probability that their mean weight is greater than 62 kg?



b. If 70 teenagers are randomly selected, what is the probability that the mean weight is greater than 62 kg?



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