(a) 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.
(b) When the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.
<u>Explanation:</u>
Given:
σ = 15.6
Let the number of subjects be n
(a)
When the confidence level is 99%, then z = 2.576
E = 2
We know:
On substituting the value, we get:
Thus, 404 subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence.
(b)
When the confidence level is 95%, then z = 1.96
E = 2
We know:
On substituting the value, we get:
n = 234
Thus, when the confidence level decreases to 95%, the number of subjects decreases from 404 to 234.
Given:
The function is
To find:
The tangent line to the graph of f(x)=x at point (0,0).
Solution:
We have,
It is a linear function because the highest power of the variable is 1.
We know that the tangent line to a linear function at any point is the line itself.
Derivative of given function is
So, slope of the tangent line is 1. It is given table the tangent line passes through the point (0,0). The equation of tangent line is
Therefore, the tangent line to the graph of f(x)=x at point (0,0) is y=x.
I know this but what do the letters =?
Answer:
(1.5, 3.5)
Step-by-step explanation:
We can see that P's x coordinate is 1.5 and P's y coordinate is 3.5.