Answer:
Rhombus
Step-by-step explanation:
Shape of a playground is a quadrilateral
It is given that all sides of a quadrilateral are= 27 feet
Since all the sides of a quadrilateral are equal that it can be either a rhombus or it can be a square
Two angle are 65° each
And other two angers are 115° each
65°+ 115°= 180°
It forms a co-interior angle
Hence the quadrilateral is a parallelogram
Since all the four sides of parallelogram are equal, than the given figure must be rhombus
Hence, geomatric shape best describes the shape of the playground is Rhombus.
So when you're solving for x here and distribute 8 on the right side, it would look like this:

Now in order to solve for x, we know we have to get all the x's on one side of the equal sign. Let's get all our x's to the left side. Since the right side has a positive 8x, you need to subtract 8x on the right. But whatever you do to one side you must do to the other. So since we are subtracting 8x on the right, we need to do that on the left.
But we can't! Since both sides will cancel out to zero before x can be solved.
Therefore the answer is 0.
Hope that helps!
Dimension of one of the floors of one room that David wants to install tiles is 18feet long by 12 feet wide
Then
Area of the above room = 18 * 12 square feet
= 216 square feet
Dimension of the floor of the other room that David wants to install tiles is 24 feet long and 16 feet wide
Then
Area of the other room = 24 * 16 square feet
= 384 square feet
Then
The total square feet of the
rooms that David wants to install tiles = 216 + 384
= 600 square feet
Cost of the tile that covers 1 square feet = $5
Cost of the 4 tiles that cover 4 square feet = $17
Then
Area that can be covered with 4 square feet of tiles = 600/4 square feet
= 150 square feet
Minimum cost of covering
the two rooms that David wants to install tiles = 150 * 17 dollars
= 2550 dollars
So the minimum cost of installing the tiles on the two floors of David's two rooms is $2550. I hope the procedure is simple enough for you to understand.
Answer:
There is sufficient evidence. A further explanation is provided below.
Step-by-step explanation:
According to the question,
The alternative as well as null hypothesis will be:


The test statistics will be:
⇒ 
By putting the values, we get
⇒ 
⇒ 
⇒ 
Or,
The p-value will be:
= 0.0071
i.e.,
⇒ 
Thus the above is the correct answer.
43.5 is the answer to the question