Given question is 4√6/√30
by rationalizing the denominator
4√6x√30/√30x√30
= 4√6x30/√30²
=4x√180/30 (i)
by solving the √180
√180=6√5
putting the value of √180 in (i)
=4x6√5/30
=24√5/30
=4√5/5 is the right answer.
I believe it is A because line segment AC is equal to line segment BD, and AE and BF are also the same
It is simple, you are converting 150 of 200 into a fraction and reducing it
150/200=15/20
5 goes into 20 4 times
15/20=1/4
1/4=0.75=75%
Answer: 1.645
Step-by-step explanation:
Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.
Let 
represents the variance for 16 OZ bottles and 
represents the variance for 12 OZ bottles.
The Null and Alternative Hypothesis will be :-
, since alternative hypothesis is left-tailed , then the test is left-tailed test.
By using the standard normal distribution table for z, the critical value for this hypothesis:-
Your answer is A) (1,1) is the solution to both lines K and J
That's because the solution to a system of equations has to be the solution to both of the lines. Also, both of the lines intersect at the point (1,1).
