Answer:
m = 0.8
Step-by-step explanation:
The mean can be calculated as:

Then, all the values can be added and the expression turns into:

The expression can be simplified by multiplying on both sides by 6:


Which makes m = 0.8
Answer:
Step-by-step explanation:
Start by taking everything out of the parentheses:

Note two negatives make a positive:

Combine like terms:

Simplify

Answer:

Step-by-step explanation:
Given


Required
Possible values of k
The general quadratic equation is:

Subtract
and 


Factorize:

Rewrite as:

Compare the above equation to: 



For the equation to have two distinct solution, the following must be true:

So, we have:

Expand

Rewrite as:


Expand

Factorize

Factor out k + 6

Split:
or 
So:
or k 
To make the above inequality true, we set:
or 
So, the set of values of k is:

1/2 because the baker has 4 cups of strawberries after they make the cheesecake and the 4 cups divided between the 8 batches would equal 1/2 cup of strawberries in each batch