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jtamika31
26.01.2021 •
Mathematics
26:12
c
Which values complete the table for h(r)?
The table gives the volume of cylinders where the
height is a function of the radius of the base. Given
radius, r, the height can be modeled with the function
h(o, the base area of the of the cylinder with the
function B(r), and the volume of the cylinder with the
function V).
h(r) cm
47
167
207
r
ham
B() cm
47
2
241
VC) cm
167
1,0247
2,000.
8
647
100x
h() cm
10
4
12
1447
3,4567
O
16
20
24
h(i) cm
6472
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Ответ:
Step-by-step explanation:
Function of the cylinder is to measure liquid volumes accurately. They are extensively used in chemistry and biology labs, where quantities of accurately measured liquids need to be used. They are purposely designed to be long, with a shorter diameter compared to beakers, to facilitate accurate measurements.
Ответ:
And we can find this probability with this difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
The figure illustrate the result obtained.
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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and ![\sigma=0.1](/tpl/images/0600/9894/ac840.png)
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
The figure illustrate the result obtained.