If the system below were written as a matrix equation, by which matrix could you multiply both sides to obtain a solution?
1 answer:
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Answer:
a)
b)
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".
Let X the random variable that represent the mean life span of a brand name tire, and for this case we know the distribution for X is given by:
Part a
We want this probability:
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:
Part b
Let represent the sample mean, the distribution for the sample mean is given by:
On this case
We want this probability:
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:
Answer:
see explanation
Step-by-step explanation:
Given
- 16 ← difference of 2 squares and factors in general as
a² - b² = (a - b)(a + b)
- 16
= (p² )² - 4²
= (p² - 4)(p² + 4) ← (p² - 4) is also a difference of squares
= (p - 2)(p + 2)(p² + 4)