Answer:
The perimeter of the rectangle is equal to 
Step-by-step explanation:
Let
L-----> the length of the rectangle
W ----> the width of the rectangle
we know that
The perimeter of rectangle is equal to

we have

substitute



Step-by-step explanation:
x²+y²−8x−2y=48
the radius => √[(8/2)² + (2/2)² +48] =
√(16+1+48) =√65
the center => (8/2, 2/2)
=> (4, 1)
No x = -10 cannot be an input value because the x is the number of students , which can only be from 0 and above. You cannot have negative students.
Answer:
Critical value is -1.98.
Step-by-step explanation:
Given:
The value of alpha is, 
Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.
The probability of critical value is given as:

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.
Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.
So, the z-score for critical value 0.024 in a left tailed test is -1.98.
It means that x value is between 2 to 7 ( more than 2, but less than 7)
In notation, 2 < x < 7 or (2,7).