Answer:
And we can find this probability with the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
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 number of gallons of a population, and for this case we know the distribution for X is given by:
Where
and
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 the following difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
The answer is 12.5 seconds.
48/5 = 120/x
x = 2.5
2.5 * 5 = 12.5
It is 9 weeks. 8 times 12 is only 96$
Answer:
24
Step-by-step explanation:
20% of 30 = 6
30 - 6 = 24
Answer:
triangle KLM
Step-by-step explanation:
Take one point on the initial triangle and move it according to the given translation to locate the image. I used point G. Its coordinate plot is at
(2,3). I perform the operation of the given translation to this. (X1-X2, y1-y2).
So, (2-1, 3-8). The new coordinates will be (1,-5) and the only triangle with these coordinates is triangle KLM.