Answer:
Area of the region = 15.03 in²
Step-by-step explanation:
Area of region between a regular hexagon with sides 6" and circle inscribed.
So Area of region = Area of regular hexagon - area of circle
Now area of regular hexagon = 
where a = side of the hexagon = 6"
Now area of regular hexagon = 
= 93.53 square in.
Area of circle inscribed = πr²
Here r is the radius of the circle = 
r = 5"
So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.
Now area of region = 93.53 - 78.5 = 15.03 in²
Answer:
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject 
, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Step-by-step explanation:
The null and alternate hypothesis are:
H0:p≥0.03
Ha:p<0.03
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
0.03 is tested at the null hypothesis:
This means that 
28 out of 600 items produced by the machine were found defective.
This means that 
Value of the test-statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.
Looking at the z-table, z = 2.4 has a p-value of 0.9918.
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
2.6925 is the mean/ avg you add all the numbers and divide by the amount of numbers you added
