Answer:
1.
2.
3.
Step-by-step explanation:
1. The given polynomial is
We need to factor the second part to get:
We factor y-5 to obtain:
2. We have
We again factor -1 from the second part to get:
We now factor x-y to get:
3. We have
We factor negative 1 from the first part to get
We now factor b-3 to get:
We now simplify to get:
Answer:
The confidence interval is 6.6<μ<6.8.
Step-by-step explanation:
We have:
Number of observations = 601
Mean = 6.7
Standard deviation σ = 1.5
The z-score for a 95% confidence interval is 1.96.
The limits of the confidence interval can be calculated as
The confidence interval is 6.6<μ<6.8.
Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees
The longest piece is 24 ft and the smallest piece is 4 ft