Answer: 17
Step-by-step explanation:
We can tell that for every 2 changes in X there is 8 points lost in y
meaning that if we do 8 /2 we get 4
Every 1 change in x there is 4 points of change in Y
so if (3,5) Then (0,17)
17 - 5 = 12 And 3-0 = 3 So for 3 points of change for Xthere were 12 points of change for Y so this is right
Answer:
Step-by-step explanation:
<u>a)</u>
- Given that ; X ~ N ( µ = 65 , σ = 4 )
From application of normal distribution ;
- Z = ( X - µ ) / σ, Z = ( 64 - 65 ) / 4, Z = -0.25
- Z = ( 66 - 65 ) / 4, Z = 0.25
Hence, P ( -0.25 < Z < 0.25 ) = P ( 64 < X < 66 ) = P ( Z < 0.25 ) - P ( Z < -0.25 ) P ( 64 < X < 66 ) = 0.5987 - 0.4013
- P ( 64 < X < 66 ) = 0.1974
b) X ~ N ( µ = 65 , σ = 4 )
From normal distribution application ;
- Z = ( X - µ ) / ( σ / √(n)), plugging in the values,
- Z = ( 64 - 65 ) / ( 4 / √(12)) = Z = -0.866
- Z = ( 66 - 65 ) / ( 4 / √(12)) = Z = 0.866
P ( -0.87 < Z < 0.87 )
- P ( 64 < X < 66 ) = P ( Z < 0.87 ) - P ( Z < -0.87 )
- P ( 64 < X < 66 ) = 0.8068 - 0.1932
- P ( 64 < X < 66 ) = 0.6135
c) From the values gotten for (a) and (b), it is indicative that the probability in part (b) is much higher because the standard deviation is smaller for the x distribution.
Answer:
220
Step-by-step explanation:
Given that the freshman class has 160 students.
Each freshman must write three reports from a list of 12 novels that the teacher has assigned them to read
Here order does not matter. Hence combinations can be used.
No of available options = 12
No to be selected =3
Possible number of ways = ways of selecting 3 from 12 where order does not matter
= 
Option B is right answer.
