Answer:
<h2>w=6</h2>
Step-by-step explanation:
7w-6=3w+18 I expanded the bracket
+6 on both sides
7w=3w+24
-3w on both sides
4w=24
divide both sides by 4
w=6
Answer:
The simplified form is 
Step-by-step explanation:
To simplify the expression given to use, we need to reduce the given expression in its simplest form. There should not be any possibility for the further cancelling out of the division terms, if any.
Now the expression that is given to us is:

Here we will simplify it, as follows:

So this is the required simplified form.
Answer:
y = -x + 2.
or
x + y - 2 = 0 (Standard form).
Step-by-step explanation:
Its slope (m) is -1 and y intercept (c) is at y = 2.
y = mx + c
So it's:
y = -1x + 2
Standard form is:
x + y - 2 = 0.
I'm not sure what you mean by General Form.
Answer:
And we can find this probability with this difference:
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 cofee shops 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 this difference: