Answer:
95% (two-sided) confidence interval for the proportion of all dies that pass the probe is between 0.470 and 0.574
Step-by-step explanation:
Confidence interval can be calculated as p±ME where
- p is the sample proportion of dies that pass the probe
- ME is the margin of error
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- p is the sample proportion (
)
- N is the sample size (356)
Using the numbers in the formula we get
ME=
≈0.052
then the 95% confidence interval would be 0.522±0.052
Answer:
C
Step-by-step explanation:
For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.
A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.
B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.
D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.
C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.
I believe that the answer is b
The 3rd option, it's a reflection
