Answer:
Step-by-step explanation:
given that certain tubes manufactured by a company have a mean lifetime of 800 hours and a standard deviation of 60 hours.
Sample size n =16
Std error of sample mean = 
x bar follows N(800, 15)
the probability that a random sample of 16 tubes taken from the group will have a mean lifetime
(a) between 790 and 810 hours,
=
(b) less than 785 hours

, (c) more than 820 hours,

(d) between 770 and 830 hours
=
Answer:
16g
Step-by-step explanation:
Answer:
The first derivative of
(r(t)=5*t^{-2}) with respect to t is
(r'(t) = -10*t^{-3}).
Step-by-step explanation:
Let be
, which can be rewritten as
. The rule of differentiation for a potential function multiplied by a constant is:
, 
Then,

(r'(t) = -10*t^{-3})
The first derivative of
(r(t)=5*t^{-2}) with respect to t is
(r'(t) = -10*t^{-3}).