Answer:
import numpy as np
import matplotlib.pyplot as plt
def calculate_pi(x,y):
points_in_circle=0
for i in range(len(x)):
if np.sqrt(x[i]**2+y[i]**2)<=1:
points_in_circle+=1
pi_value=4*points_in_circle/len(x)
return pi_value
length=np.power(10,6)
x=np.random.rand(length)
y=np.random.rand(length)
pi=np.zeros(7)
sample_size=np.zeros(7)
for i in range(len(pi)):
xs=x[:np.power(10,i)]
ys=y[:np.power(10,i)]
sample_size[i]=len(xs)
pi_value=calculate_pi(xs,ys)
pi[i]=pi_value
print("The value of pi at different sample size is")
print(pi)
plt.plot(sample_size,np.abs(pi-np.pi))
plt.xscale('log')
plt.yscale('log')
plt.xlabel('sample size')
plt.ylabel('absolute error')
plt.title('Error Vs Sample Size')
plt.show()
Explanation:
The python program gets the sample size of circles and the areas and returns a plot of one against the other as a line plot. The numpy package is used to mathematically create the circle samples as a series of random numbers while matplotlib's pyplot is used to plot for the visual statistics of the features of the samples.
What are the choices?
Message Boarding is the asynchronous electronic that is know as a forum.
Answer:
$751
Explanation:
From the question we have the following information;
Gross income = $1000.00
Deductions = $294.00
Now we know that;
Net income = Gross income - Deductions
Therefore;
Net income = $1000.00 - $294.00
Net income = $751
Although a user directory is treated as a file, it is flagged to indicate to the file manager that this file is really a subdirectory whose records are filenames that point to files.
Buy or get new software that protects ur pc, such as a "fixmestix" or just download new software or use a disc