Answer:
And we can find this probability using the normal standard table or excel:
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 amount of ml 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 using the normal standard table or excel:
It depends on which number has the greatest absolute value.
Think about it as money
If you owe me $10, this is shown as -10
Now if I give you back 2 dollars (+2), How much money do I still owe you.
The equation is -10+2
I still owe you 8 dollars which is portrayed as -8
Hope this helps :)
Answer:
33.333333%
Step-by-step explanation:
If 6/9 (66.66666666%) of the jeans are blue it means that 3/9 of the jeans are not blue. 3/9 as a percentage is 33.333333%
Answer:
True
Step-by-step explanation:
It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point
this means that for every input (x value) there is only one output (y value)
Answer:
Step-by-step explanation:
The system of equations is expressed as
y=-2x+7 - - - - - - - - 1
y=5x-7 - - - - - - - - -2
We would equate equation 1 and equation 2. It becomes
- 2x + 7 = 5x - 7
We would add 2x to the left hand side and the right hand side of the equation. Also add 7 to the left hand side and the right hand side of the equation. It becomes
- 2x + 2x + 7 + 7 = 5x + 2x - 7 + 7
14 = 7x
Dividing the left hand side and the right hand side of the equation by 7, it becomes
7x/7 = 14/2
x = 2
y= -2 × 2 + 7
y = - 4 + 7
y = 3
