Consider the given function and the given interval. f(x) = 2 x , [0, 25](b) Find c such that fave = f(c). (Round your answer to
1 answer:
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Answer:
The rate at which both of them are moving apart is 4.9761 ft/sec.
Step-by-step explanation:
Given:
Rate at which the woman is walking, = 3 ft/sec
Rate at which the man is walking, = 2 ft/sec
Collective rate of both, = 5 ft/sec
Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min
Now,
Distance traveled by man and woman are and
ft respectively.
⇒
⇒
As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate .
Lets calculate h.
Applying Pythagoras formula.
⇒
⇒
Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.
Differentiating with respect to time.
⇒
⇒
⇒ ...as
⇒ Plugging the values.
⇒ ...as
ft/sec
⇒ ft/sec
So the rate from which man and woman moving apart is 4.9761 ft/sec.
Answer:
The standard deviation for the sample mean distribution is
Step-by-step explanation:
The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population then the distribution of the sample means will be approximately normally distributed.
For the random samples we take from the population, we can compute the standard deviation of the sample means:
From the information given
The standard deviation σ = 136 dollars
The sample n = 45
Thus,
The standard deviation for the sample mean distribution is