Answer:
The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
560 random tests conducted, 26 employees failed the test. This means that 
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).
Answer:
x=5
Step-by-step explanation:
Since the triangles are similar we can use ratios to solve
4.5 7.5
---- = ------
3 x
Using cross products
4.5x = 3 * 7.5
4.5x = 22.5
Divide each side by 4.5
x = 22.5/4.5
x=5
Answer:
(0,2) is one solution of the solution set of the equation x + 3y = 6.
(0,2) is not an element of the solution set of the equation -x + y = 8.
Step-by-step explanation:
We have the system of equations, x + 3y = 6 and - x + y = 8.
Now, we have to check whether the solution set for that system of equations or not includes the point (0,2) or not.
Here, the equation x + 3y = 6 is satisfied by the point (0,2).
Hence, (0,2) is one solution of the solution set of the equation x + 3y = 6.
But the equation - x + y = 8 is not satisfied by the point (0,2).
So, (0,2) is not an element of the solution set of the equation -x + y = 8.
Answer:
-8xy+3x+2z
x+3yz-8
Step-by-step explanation:
