Answer:
C
Step-by-step explanation:
The graph can take any value of X
-3[ x^2 - 2x + 1] + 4
-3x^2 +6x -3 + 4
-3x^2 + 6x + 1
x can take any value of real numbers and there would be a solution
Hence all real numbers is the domain.
Answer:
2 1/4
Step-by-step explanation:
Answer is in the attachment below. Please open it up in a new window to see it in full.
Answer:
so where the numbers are ig- 1.5 above sea level uput it next to the 1.5 on the vhart ect
Step-by-step explanation:
Answer:
a) P(75 < x < 80 ) = 0.2088
b) The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 72
Given variance of the Population = 18 inches.
Standard deviation of the Population = √18 = 4.242
Let 'x' be the random variable in Normal distribution
a)
Given X₁ = 75
![Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{75-72}{4.242} = 0.70721](https://tex.z-dn.net/?f=Z_%7B1%7D%20%3D%20%5Cfrac%7Bx_%7B1%7D%20-mean%7D%7BS.D%7D%20%3D%20%5Cfrac%7B75-72%7D%7B4.242%7D%20%3D%200.70721)
Given X₂= 80
![Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{80-72}{4.242} = 1.885](https://tex.z-dn.net/?f=Z_%7B2%7D%20%3D%20%5Cfrac%7Bx_%7B2%7D%20-mean%7D%7BS.D%7D%20%3D%20%5Cfrac%7B80-72%7D%7B4.242%7D%20%3D%201.885)
The probability that average height of all humans between 75 and 80
![P(75 < X < 80 ) = P(0.70721 < Z < 1.885)](https://tex.z-dn.net/?f=P%2875%20%3C%20X%20%3C%2080%20%29%20%3D%20P%280.70721%20%3C%20Z%20%3C%201.885%29)
= | A ( 1.885) - A( 0.70721|
= 0.4699 - 0.2611
= 0.2088
P(75 < x < 80 ) = 0.2088
b)
<u><em>Step(ii)</em></u>:-
Given X₁ = 65
![Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{65-72}{4.242} = -1.650](https://tex.z-dn.net/?f=Z_%7B1%7D%20%3D%20%5Cfrac%7Bx_%7B1%7D%20-mean%7D%7BS.D%7D%20%3D%20%5Cfrac%7B65-72%7D%7B4.242%7D%20%3D%20-1.650)
The probability that average height of all humans less than 65
P( X < 65 ) = P( Z < - 1.650 )
= 1 - P( Z > 1.650)
= 1 - ( 0.5 + A (1.650))
= 0.5 - A( 1.65)
= 0.5 - 0.4505
= 0.0495
The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495