During a bike challenge, riders have to collect various colored ribbons. Each 1/2 mile they collect a red ribbon, each 1/8 mile
1 answer:
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Answer:
And if we solve for a we got
So the value of height that separates the bottom 16% of data from the top 84% is 2.6024 years
The answer rounded would be 2.6 years approximately
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 shelf life of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 16% of data from the top 84% is 2.6024 years
The answer rounded would be 2.6 years approximately
Answer:
6(x + 9) (x + 9)
or
Step-by-step explanation:
Greatest common factor of 6, 108, and 486:
6 x 1 = 6
6 x 18 = 108
6 x 81 = 486
GCF: 6
so:
factors to:
(x + 9) (x + 9)
because:
9 x 9 = 81
9 + 9 = 18
So:
It factors completely too:
6(x + 9) (x + 9)
or