a) 1,000 + 0 + 40 + 9
b) 40,000 + 3,000 + 800 + 70 + 0
c) 8,000,000 + 100,000 + 5
Answer:
b. The range only includes numbers greater than or equal to 0.
Step-by-step explanation:
Any square of a number will never lead to a negative number
The range of an equation is it's numerical possibilities for y
Since a square of a negative number never leads to a negative y
The answer is therefore, the range can only be zero and above
(otherwise the roots would be imaginary)
It could be miles squared, inches squared, and even centimeters squared (anything squared)
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: