Jack has two square based pyramids that are the same size.he stick the square faces togather to make a new 3-d shape.how many fa
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Answer:
The maximum velocity of the object in the time interval [0, 4] is 10 ft/s.
Step-by-step explanation:
Given : The position of an object along a vertical line is given by , where s is measured in feet and t is measured in seconds.
To find : What is the maximum velocity of the object in the time interval [0, 4]?
Solution :
The velocity is rate of change of distance w.r.t time.
Distance in terms of t is given by,
Derivate w.r.t. time,
It is a quadratic function so its maximum is at vertex of the function.
The x point of the function is given by,
Where, a=-3, b=6 and c=7
As 1 lie between interval [0,4]
Substitute t=1 in the function,
Th maximum velocity is 10 ft/s.
Therefore, the maximum velocity of the object in the time interval [0, 4] is 10 ft/s.
Answer:
a)From the central limit theorem we know that the distribution for the sample mean is given by:
And the standard error for the mean would be:
b) We want this probability:
And we can use the z score formula given by:
And replacing we got:
And we can find this probability with the complement rule and the normal standard deviation or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Part a
From the central limit theorem we know that the distribution for the sample mean is given by:
And the standard error for the mean would be:
Part b
We want this probability:
And we can use the z score formula given by:
And replacing we got:
And we can find this probability with the complement rule and the normal standard deviation or excel and we got: