Answer:
a. Genre with highest mean is drama. Mean is 72.10
B. 10.46 is difference between means of comedy and horror
C. Horror has the lowest minimum value at 25.00
Action and comedy both have the highest maximum value at 93.00
Step-by-step explanation:
First create a table with the data provided like I did in the attachment. It would give a clearer picture of what your answers should be.
1. Which genre has the highest mean score?
From the table, we have the means as:
Action = 58.63
Comedy = 59.11
Drama = 72.10
Horror = 48.65
The genre with the highest score is drama at 72.10
2. Difference in mean score between comedy and horror
Mean of comedy = lc = 59.11
Mean of horror = ly = 48.65
Difference = lc-ly
= 59.11 - 48.65
= 10.46
3. The genre with lowest score is the genre with the lowest minimum value. This genre is horror and the lowest minimum is 25.00
The genre with highest minimum value is that whose maximum value is the highest out of all the genres. Both action and comedy have the highest maximum value at 93.00
Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3