Answer:
240 in
Step-by-step explanation:
Answer:
What am i supposed to figure out
Step-by-step explanation:
Uhm, what? is there a pic of the problem
Answer:
Volume of the cone is increasing at the rate .
Step-by-step explanation:
Given: The radius of a right circular cone is increasing at a rate of in/s while its height is decreasing at a rate of in/s.
To find: The rate at which volume of the cone changing when the radius is in. and the height is in.
Solution:
We have,
, , ,
Now, let be the volume of the cone.
So,
Differentiate with respect to .
Now, on substituting the values, we get
Hence, the volume of the cone is increasing at the rate .
From the given sample data in the table on the backpack weight, we have;
(a) The means of the samples are;
- First sample = 6.375
- Second sample = 6.375
- Third sample = 6.625
(b) The range is 0.25
(c) The true statements are;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
<h3>How can the mean of the sample means be found?</h3>
(a) The sample means of each of each of the three samples are found as follows;
Where;
x = The value of a data point
n = Sample size
The mean of the first sample, S1, data is therefore;
3+7+8+3+7+9+6+8 = 51
Which gives
- Mean of the first sample = 6.375
Similarly, we have;
8 +6+4+7+9+4+6+7 = 51
Which gives;
Mean of the second sample = 6.375
9+4+5+8+7+5+9+6 = 53
Which gives;
- Mean of the third sample = 6.625
(b) The range of the means of the sample means is found as follows;
Range = Largest value - Smallest value
Which gives;
- Range of the sample means = 6.625 - 6.375 = 0.25
(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.
The true statements are therefore;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
Learn more about the mean of the sample means of a collection of data here:
brainly.com/question/15020296
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