Answer:
Step-by-step explanation:
Given is an equation in x and y as

We use implicit method to differentiate the above equation
18x-2yy'=0
y' = 9x/y
b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±
We separate the variables as

Take square root

To find the number of even factors, we can multiply the number of odd factors by the power of 2 (not the power of 2 + 1!!!). For 540, we have (3 + 1)(1 + 1)(2) = 16 even factors.
Answer:
A
Step-by-step explanation:
using common sense you can see that the angle of c is obtuse and it would need to be smaller than angles a and b
Answer: the smallest number of people required for the sample to meet the conditions for performing inference is 100
Step-by-step explanation:
Given that;
36% of US population has never been married
32% are divorced
27% are married
5% are widowed
Taking a simple random sample of individuals to test this claim;
we need expected count in each cell to be at least 5, here the smallest proportion is 5% = 0.05
so we only need to satisfy condition for its expected count;
n × 0.05 ≥ 5
n = 5 / 0.05 = 100
Therefore the smallest number of people required for the sample to meet the conditions for performing inference is 100