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%.
Answer:
1) AD = RC 2) Angle A = Angle R 3) Angle AMD = Angle CMR Reason: Vertical angles theorem.
Step-by-step explanation:
I can't really explain my process since some are self explanatory, but if you do have questions, always know that you can reply and I'll answer them. Also, number four is cut off so I'm not sure if there is a fill in a blank portion there.
<span>10r^(-7)t^3
= 10t^3 / r^7
hope it helps</span>
Answer:
Option C
-5, -2, 1, 3
Step-by-step explanation:
to get the list that orders the numbers from the least to the greatest, we need to, first of all, know the smallest and the largest numbers.
The largest number is easy to guess - it is undoubtedly 3.
However, the smallest number may be a bit tricky because we are dealing with negative numbers. When dealing with negative numbers, the numbers with greater magnitudes are actually smaller. This means that -5 is less than -3, which is less than -2, and so on.
Coming back to our question, we can now order the numbers as -5, -2, 1, 3 which is option C
The bottom left angle is 180 -80=(100)
So the remaining 2 angles are equal 80
As all angles in a triangle are equal to 180
X+5 + x - 5 =80
Simplify
2x=80
X=40
Soo one of the angles are 40-5 which is (35)
And the other is 40+5 which is (45)
So sean is not correct
~sorry sean teehee