Answer:

Step-by-step explanation:
We are given the expression 
This means that we are looking for two numbers that would add together to give us 12 and multiply to give us 27.
The two numbers that fit this description are 3 and 9.
This means that the factored form of the expression would be

Area is Length x width.
Area = 4x * 5
Area = 20x
Replace A in the inequality:
Now you have 100 <= 20x <= 1,000
Now solve for x by dividing all 3 by 20:
5 <= x <=50
Check to see if they are viable:
4(5) x 5 = 20 x 5 = 100
4(50) x 5 = 200 x 5 = 1,000
Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.
Answer:
You are correct
Step-by-step explanation:
Hi,

Thanks
Answer:
Test is Left tailed test
Parameter tested is standard deviation
Step-by-step explanation:
We are given the hypothesis as;
Null hypothesis; H0: σ = 8.6
Alternative hypothesis; H1: σ < 8.6
Where;σ is a constant generally known in statistics as the standard deviation.
Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.
Alternative hypothesis says σ < 8.6.
This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.
Thus, it's a left tailed test
Answer: 
Step-by-step explanation:
We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).
Thus, the equation of the circle is
.