What is the VOLUME of this figure? 9 cm 7 cm 8 cm 10 cm 12 cm
1 answer:
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Answer:
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 grades of a population, and for this case we know the distribution for X is given by:
For this case we have two conditions given:
or equivalently
And the best way to solve this problem is using the normal standard distribution and the z score given by:
So we can find a value from the normal standard distribution that accumulates 0.1 and 0.9 of the area in the left, for this case the two values are:
We can verify that P(Z<-1.28) =0.1[/tex] and P(Z<1.28) =0.9[/tex]
And then using the z score we have the following formulas:
(1)
(2)
If we add equations (1) and (2) we got:
We can multiply both sides of the equation by and we got:
And then we can find the standard deviation for example from equation (1) and we got:
So then the answer would be:
Answer:
Step-by-step explanation:
Transformation from figure 1 to figure 2,
Translation of figure 1 by 6 units to the left.
Transformation of figure 1 to figure 3,
Reflection of figure 1 across y-axis.
Transformation from figure 1 to figure 4,
Translation of figure 1 by 6 units to the left and 4 units down.
Transformation from figure 1 to figure 5,
Translation of figure 1 by 3 units left and 6 units down.
Transformation from figure 1 to figure 6,
Reflection of figure 1 across x-axis.
