Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
1. angle 1 = 50 degrees [ Reason is Given]
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
4..Therefore angle 5 = 50 degrees [= angles have same measure]
The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines
Answer:
4,962 yards.
Step-by-step explanation:
We are given that,
For the first 5 games, Michael threw 1,654 yards.
Since, we see that, the relationship between the yards and the games are directly proportional.
Then for 15 games,
Michael will have thrown for
yards i.e. 1654 × 3 = 4,962 yards
Hence, for 15 games, Michael have thrown for 4,962 yards