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Answer what is asked in the given problem below. Show your solutions completely. Use an extra sheet of paper for your solutions. NO SOLUTIONS, NO POINTS.


The population is the weight of six pumpkins (in pounds) displayed in carnival "guess the weight" game booth. You are asked to guess the average weight of the six pumpkins by taking a random sample without replacement from the population. Suppose that the sample size of 5 pumpkins were drawn from this population (without replacement), describe the sampling distribution of the sample means.


Pumpkin


A


B


C


D


E


F


Weight in Pounds


19


14


15


9


10


17




What is the mean and variance of the sampling distribution of the sample means?


Compare these values to the mean and variance of the population.



"Solve \t\u222b\u2592\u221bx dx"


Artist you contain a solution of one of the following salt NaCl b n e b r n e t describes single test that can distinguish among these salt

Hallow Inverted Full Pyramid - 1

Given the number of rows N, write a program to print the hallow inverted full pyramid pattern similar to the pattern shown below. * * * * * * * * * * * *

Input The input will be a single line containing a positive integer (N).

Output The output should be N rows containing the asterisk(*) character in the hollow inverted full pyramid pattern. Note: There is a space after each asterisk(*) character.

Explanation For example, if the given number is 5, the pattern should contain 5 rows as shown below * * * * * * * * * * * * Sample Input 1 5 Sample Output 1 * * * * * * * * * * * *


An electromagnet exerts a force of 15 N and moves a soft iron armature through a distance of 12 mm in 50ms. Determine the power consumed


A current of 12 A flows in the element of an electric fire of resistance 25 Ω. Determine the power dissipated by the element. If the fire is on for five hours every day, calculate for a one-week period (a) the energy used, and (b) cost of using the fire if electricity cost ₱13.50 per kWh


Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).



3. at x = 5



x² - 3 if x ≥ 5


4x + 2 if x < 5



Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).



2. at x = 0



1/x if x ≤ -1


x² - 2 if x > -1




Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).



1. at x = 4



x + 1 if x < 4


(x - 4)² + 3 if x ≥ 4




Tell whether if the following piecewise function is a continuous at a given point or not. (SHOW THE SOLUTION).



1. at x = 4



x + 1 if x < 4


(x - 4)² + 3 if x ≥ 4



2. at x = 0



1/x if x ≤ -1


x² - 2 if x > -1



3. at x = 5



x² - 3 if x ≥ 5


4x + 2 if x < 5




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