Step-by-step explanation:
1) 
We know that, 

2) 
Again using above property,

3) 
We know that,

So,

4) 
Hence, this is the required solution.
Answer:
The answer is
b≤14
So you make a filled in circle at 14, make the point for left from there.
Answer:
Where
and
And the z score is given by:

And since z = 0.75 we can replace like this:

And if we solve for x we got:

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 ACT scores of a population, and for this case we know the distribution for X is given by:
Where
and
And the z score is given by:

And since z = 0.75 we can replace like this:

And if we solve for x we got:

It's shifted up two units. You can tell this by mapping the point of change as the origin in the original graph and (0,2) in the second graph.
Answer:
27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.
Step by Step:
4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.
So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7
2.7 ounces of blueberry juice in each smoothie.
Now you have to multiply every ingredient by 10, since there are 10 smoothies.
4 * 10 = 40
1.3 * 10 = 13
2.7 * 10 = 27
You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.