Answer: 0.00102%
Step-by-step explanation:
Given : Human body temperatures are normally distributed with a mean of and a standard deviation of
A hospital uses as the lowest temperature considered to be a fever.
Let x be the random variable that represents the human body temperatures.
For x= 100.6,
Using normal distribution table for z-values for right-tailed area ,
P(x>100.6)=
Hence, the required probability = 0.00102%
We have been given that function is a transformation of the quadratic parent function
. We are asked to find the y-intercept of function g.
We know that the function is an upward opening parabola with vertex at point (0,0).
We know that vertex form of a parabola is in form , where point (h,k) represents vertex of parabola.
We can rewrite g(x) as:
The vertex of the function g(x) is at point (0,2).
We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).