Answer:
a) x is the independent and y in the dependent
b) y=4
Step-by-step explanation:
b.) How much of the trail mix remains after you eat 6 servings?
Substitute 6 into the x variable.
y=16-2(6)
y=4
The fence is 210 ft long.
There is a post every 3.5 ft.
If you divide 210 ft by 3.5 ft, you get the number of spaces between posts.
(210 ft)/(3.5 ft) = 60
The fence starts with a post. Then there is 3.5 ft of fencing. Then there is another post. Then there is another 3.5 ft of fencing followed by a post. In total there are 61 posts.
Here's another way of thinking of why you end up with 60 posts.
For each 3.5 ft of fencing, you place a post at the end of the fencing.
Since there are 60 3.5-ft-long pieces of fencing, there will be 60 posts, one at the end of each piece of fencing. The first thing that is done is to put the initial post before any fencing is put up. The first post plus 60 more posts add up to 61 posts.
Now that you see why there are 61 posts, we can calculate their cost.
61 * $8.50 = $518.50
Answer:
The length of a rectangular garden is: 13 feet
Step-by-step explanation:
You have 2 lengths that are 2x-3 feet, and 2 widths that are x.
2x-3 + 2x-3 +x +x =42 feet
4x -6 +2x -42 feet
6x -6 = 42 feet
6x = 48 feet
x = 8 feet (so, 2x-3 = 16-3 = 13 feet)
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:

Where

is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:

The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
90 volume because 3 multiples by 30 = 90