The best and the most correct answer among the choices provided by the question is the third choice. The data that corresponds to the function is in the link: <span>http://media.education2020.com/evresources/2003-08-05-00-00_files/i0180002.jpg. </span>I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
0.8809
Step-by-step explanation:
Given that:
The population proportion p = 4% = 4/100 = 0.04
Sample mean x = 16
The sample size n = 300
The sample proportion 
= 16/300
= 0.0533
∴
From the z tables;
= 0.8809
OR
Let X be the random variation that follows a normal distribution;
Then;
population mean 
= n × p
population mean = 300 × 0.04
population mean = 12
The standard deviation 
The standard deviation 
The standard deviation 
The standard deviation 
The z -score can be computed as:
z = 1.18
The required probability is:
P(X ≤ 10) = Pr (z ≤ 1.18)
= 0.8809
Answer:the rate of the plane in still air is 830 km/h
the rate of the wind is 160 km/h
Step-by-step explanation:
Let x represent the speed of the plane in still air.
Let y represent the speed of the wind.
Flying against the wind, an airplane travels 3350 kilometers in 5 hours. It means that the total speed of the airplane would be x - y
Distance = speed × time
Therefore
3350 = 5(x - y)
3350 = 5x - 5y - - - - - - - - - - - - 1
Flying with the wind the same plane travels 7920 in 8 hours. It means that the total speed of the airplane would be x + y
Therefore
3350 = 8(x + y)
7920 = 8x + 8y - - - - - - - - - - - - 2
Multiplying equation 1 by 8 and equation 2 by 5, it becomes
26800 = 40x - 40y
39600 = 40x + 40y
Adding both equations, it becomes
66400 = 80x
x = 66400/80
x = 830
Substituting x = 830 into equation 1, it becomes
3350 = 5 × 830 - 5y
3350 = 4150 - 5y
5y = 4150 - 3350 = 800
y = 800/5 = 160
Answer:
21870 km^2
Step-by-step explanation:
Area of sector=1/2r^2(theta)
Where r=18 km and theta=135
Area of sector=1/2(18)^2(135)
=1/2(324)(135)
=1/2(43740)
=21870 km^2
2464829438
The next number is 2,464,829,439
