Answer:
Step-by-step explanation:
Given that:

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c
here c is the constant.

By cross multiply



From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.
Now,

This is the equation for the family of the eclipses centred at (0,0) is :


Therefore; the level of the curves are all the eclipses with the major axis:
and a minor axis
which satisfies the values for which 0< c < 100.
The sketch of the level curves can be see in the attached image below.
Answer:
52:120
Step-by-step explanation:
1 hour = 60 minutes.
2 hours = 120 minutes.
Answer: 52 : 120
Hope this helps!
Answer:
D. 54,900
Step-by-step explanation:
We have been given that the salary of teachers in a particular school district is normally distributed with a mean of $50,000 and a standard deviation of $2,500.
To solve our given problem, we need to find the sample score using z-score formula and normal distribution table.
First of all, we will find z-score corresponding to probability
using normal distribution table.
From normal distribution table, we get z-score corresponding is
.
Now, we will use z-score formula to find sample score as:
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation





Therefore, the salary of $54900 divides the teachers into one group that gets a raise and one that doesn't.