Answer:
x = all real values
y = all real values
Step-by-step explanation:
The domain is the input values
f(x) = 4x+52 which is a line
The input or x values can be any value so the domain is all real values of x
The range is the output values
f(x) = 4x+52 which is a line
The output or y values can be any value so the domain is all real values of y
Complete Question
The complete question is shown on the uploaded image
Answer:
1 ) The correct option B
2) The correct option is C
3) The correct option is C
4) The correct option is C
Step-by-step explanation:
From the question we are told that
The proportion that own a cell phone is ![p = 0.90](https://tex.z-dn.net/?f=p%20%3D%200.90)
The sample size is n = 15
Generally the appropriate distribution for X is mathematically represented as
![X \ is \ B( n , p )](https://tex.z-dn.net/?f=X%20%20%5C%20is%20%20%5C%20B%28%20n%20%2C%20p%20%29)
So
![X \ is \ B( 15 , 0.90 )](https://tex.z-dn.net/?f=X%20%20%5C%20is%20%20%5C%20B%28%2015%20%2C%200.90%20%29)
Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as
![\mu = n * p](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20n%20%20%2A%20%20p)
![\mu = 15 * 0.90](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%2015%20%2A%20%200.90)
![\mu = 13.5](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20%2013.5)
Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as
![\sigma = \sqrt{ n * p * q }](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Csqrt%7B%20n%20%2A%20%20p%20%2A%20%20q%20%7D)
Where q is mathematically evaluated as
![q = 1- p](https://tex.z-dn.net/?f=q%20%3D%20%201-%20p)
![q = 1- 0.90](https://tex.z-dn.net/?f=q%20%3D%20%201-%200.90)
![q = 0.10](https://tex.z-dn.net/?f=q%20%3D%20%200.10)
![\sigma = \sqrt{ 15 * 0.90 * 0.10 }](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Csqrt%7B%2015%20%2A%20%200.90%20%2A%20%200.10%20%7D)
![\sigma = 1.16](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%201.16)
Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as
![P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}](https://tex.z-dn.net/?f=P%28X%20%3D%20%2015%29%20%3D%20%20%5Cleft%2015%7D%20%5Catop%20%7B%7D%7D%20%5Cright.C_%7B15%7D%20%2A%20%20%280.90%29%5E%7B15%7D%20%2A%20%20%280.10%20%29%5E%7B15%20-%2015%7D)
From the combination calculator is ![\left 15} \atop {}} \right.C_{15} = 1](https://tex.z-dn.net/?f=%5Cleft%2015%7D%20%5Catop%20%7B%7D%7D%20%5Cright.C_%7B15%7D%20%3D%20%201)
![P(X = 15) = 1 * 0.205891 * 1](https://tex.z-dn.net/?f=P%28X%20%3D%20%2015%29%20%3D%201%20%2A%20%200.205891%20%2A%20%201)
![P(X = 15) = 0.206](https://tex.z-dn.net/?f=P%28X%20%3D%20%2015%29%20%3D%200.206)
Answer:
1600 after 24 hours
Step-by-step explanation:
100+100 = 200 after 6 hours
200+200 = 400 after 12 hours
400+400 = 800 after 18 hours
800+800 = 1600 after 24 hours
9 9x5=45
5,10,15,20,25,30,35,40,45
9