Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />
The area of a rectangle can be calculated with the following formula:

Where "l" is the lenght of the rectangle and "w" is the width.
Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

The area of the flower garden which is an square, can be calculated with this formula:

Where "s" is the side length.
In this case you know that:

Then the area of the flower garden is:

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.
This is:

I cant understand please turn to enlish
Answer:
a) 13, 10, 16
Step-by-step explanation:
The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...
10 + 13 > 16 . . . . choice A
_____
<em>Comment on the triangle inequality</em>
Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given


--- Null hypothesis
---- Alternate hypothesis

Solving (a): The test statistic
This is calculated as:

So, we have:






Solving (b): The p value
This is calculated as:

So, we have:

Look up the z probability in the z score table. So, the expression becomes


Solving (c): With
, what is the conclusion based on the p value
We have:

In (b), we have:

By comparison:

i.e.

So, we fail to reject the null hypothesis.
Answer:
y = - 2x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )
m =
=
= - 2
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 2x + 7 ← equation of line