Step-by-step explanation:
Let the son's age be x and man be y
y=26+x
y=8+3x
x=9
Son's age is 9
Answer:
18.66 ft/s
Step-by-step explanation:
The distance between you and the elevator is given by:

The rate of change for the distance between you and the elevator is given by:



Applying the chain rule:

Therefore, at x=300 and y = 500, dy/dt is:

The elevator is descending at 18.66 ft/s.
Answer:
0.6170
Step-by-step explanation:
Given that a manufacturing process is designed to produce bolts with a 0.25-in. diameter.
i.e. no of bolts which are produced as per standard is X means then
X is normal with mean = 0.250 and std dev = 0.04
No of bolts tested = 36
If this mean falls outside the interval (0.230,0.270) the production would be shut down.
i.e. P(|x-25|>0.20) =production shut down probability

Answer: choice A) 7017
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Work Shown:
The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7
The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7
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The 1000th term corresponds to n = 1000
Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify
a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017