Answer:
0.9812
Step-by-step explanation:
Given that human weights are normally distributed with mean 175 and standard deviation 36 pounds
For a sample of 9 people std error of sample would be
Thus we find that sample mean is N(175, 12)
The plane will lift safely if sample average <200 pounds
i.e. Probability that it can safely lift off (i.e., the average weight of a person in the helicopter is less than 200)
=
~0.981
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
To find:
The current which will produce the maximum power.
Solution:
We have,
Differentiate with respect to x.
...(i)
To find the extreme point equate P'(x)=0.
Divide both sides by -30.
Differentiate (i) with respect to x.
(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function is transformed to
.
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.