The heat involved in calories per gram of a cement mixture is approximately normally distributed. the mean is thought to be 90 and the standard deviation 2. we wish to test h0: µ = 90 versus µ ≠ 90 with a sample of size n = 10 specimens. (a) if the fail to reject region (ftr) is defined as 88.5 91.5   x find the type i error. (b) find β for the case where the true mean heat has evolved to 93.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !