Answer: 0.6812
Step-by-step explanation:
Let p be the population proportion of trees are infested by a bark beetle.
As per given: p= 12%= 0.12
Sample size : n= 1000
Number of trees affected in sample = 1000
Sample proportion of trees are infested by a bark beetle. = 
Now, the z-test statistic : 
So, 

Hence, the value of the z-test statistic = 0.6812 .
Answer:
No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)
Step-by-step explanation:
The circle centered at the origin that contains the point (0,-4) has equation:

If the point (273,2) lies on this circle , then it must satisfy this equation:

Since

The point does not lie on this circle.
Answer:
He played 7 arcade games.
Step-by-step explanation:
The amount paid in relation to the number of games played can be modeled by a linear function in the following format:

In which F is the flat rate and g is the price of each game.
Flat fee of $30 but he had to pay $2 for each arcade game he played.
This means that 
So

Jason spent $44. How many arcade games did he play?
This is n for which A(n) = 44. So





He played 7 arcade games.
Answer:
<h2>ratio is</h2>
Step-by-step explanation:
<h2>4:7 your answer is like this . follow me</h2>
An inch or 2 so yeah if in shapes then around a rectangle