I am Ahmad Reda, Structural Engineer and Teaching Assistant in Cairo University. Besides, I am a problem solving lover, I have passion exploring math stuff and its tips and tricks.
$\begin{aligned} x_{1}+2 x_{2}+2 x_{3} &=6 \\ 2 x_{1}+x_{2}+x_{3} &=6 \\ x_{1}+x_{2}+3 x_{3} &=6 \end{aligned}$
$\begin{aligned} x_{1}+x_{2}-x_{3} &=0 \\-x_{1}-x_{2}+x_{3} &=0 \\ x_{1}+x_{2}-x_{3} &=0 \end{aligned}$
$\begin{aligned}-x_{1}+2 x_{2} &=0 \\ 2 x_{1}+3 x_{2} &=0 \end{aligned}$
$\begin{aligned}-x_{1}+3 x_{2} &=0 \\-3 x_{1}+9 x_{2} &=0 \end{aligned}$
$\begin{aligned}(1-i) x_{1}+2 x_{2} &=0 \\-x_{1}-(1+i) x_{2} &=0 \end{aligned}$
$\begin{aligned} 2 x_{1}+x_{3} &=-1 \\-3 x_{1}+x_{2}+4 x_{3} &=1 \\-x_{1}+x_{2}+5 x_{3} &=0 \end{aligned}$
A potter is shaping a bowl on a potter's wheel rotating at constant angular velocity of 1.4 rev/s (Figure 1). The friction force between her hands and the clay is 1.7 N total.
Statistics Problem: DATA INTERPRETATION
The length of time it takes to find a parking space at 9 AM college in normal distribution with the Mina five minutes on the standard deviation of two minutes on the probability that it takes not at least nine minutes to find a parking space
As subway train on the redline arise every 10 minutes during rush hour we are interested in the length of time a commuter must wait for a chain to arrive the time follows a uniform distribution
A random sample of 10 universities gave the following data on student-to-faculty ratio andgraduation rate.S/F ratio Graduation rate S/F ratio Graduation rate16 45 17 4620 55 17 5017 70 17 6619 50 10 2622 47 18 60a) Find the line of best fit for this set of data. Show work.b) Predict the graduation rate at a university with a student-to-faculty ratio of 16.
A large international company with over 1.5 million employees wants to estimate how many of their employees have a cholesterol level that is higher than the recommended level. The company collects data from a random sample of employees and creates a 95% confidence interval for the population mean cholesterol level for all company employees.
The upper bound of a 95% confidence interval for the population mean cholesterol level was 260.73, and the width of the same 95% confidence interval was 10.92.
In this confidence interval, what is the sample mean (x bar) cholesterol level? Provide your answer as a number rounded to two decimal places.
