Answer:
2,655 students
Step-by-step explanation:
The z-score for a 99% confidence interval is z = 2.576
The standard error for a proportion p is:

For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:

Rounding up to the next whole student, the sample size needed is 2,655 students.
Answer:
Required equation of tangent plane is
.
Step-by-step explanation:
Given surface function is,
To find tangent plane at the point (5,-1,1).
We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

So that,



Substitute all these values in (1) we get,


Which is the required euation of tangent plane.
Answer:

Step-by-step explanation:
Given


Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum




So, in a single roll; The probability of getting audited is:



The probability of not getting audited in a single roll is:
--- Complement rule

Take LCM


The probability of not getting audited in 5 rolls is:




Answer: x = 4,11
Step-by-step explanation:
x^2 - 7x - 34 - 10 = 0
x^2 - 7x - 44 = 0
Factorise it
x^2 - 11x - 4x - 44 = 0
x ( x - 11 ) - 4 ( x - 11 ) = 0
(x-4)(x-11) = 0
x = 4,11
Alright, so we have tickets for 8 dollars. The number of tickets can represent x, and the money totaled is 8x. x=16+17+13=46, so we can substitute that in to get 8*46 for the total revenue=368 dollars