Answer: (0.760, 0.820)
Step-by-step explanation:
Denote p as the proportion of adults in California who believe that "education and our schools" are among the foremost concerns in the state.
Given: 79% (actual results indicate 400 out of 506 surveyed) of adults in California consider "education and our schools" one of the main issues currently facing the state.
In other words, sample size: n= 506
Sample proportion: 
Critical value for a 90% confidence interval (Using z-value table):
Now, the confidence interval for the population proportion at 90% will be:
In other words, 
In summary, 
Thus, the 90% confidence interval for the population proportion= (0.760, 0.820)
In this problem, the point-slope form of a line is defined as:
Where:
represents a point on the line,
and m stands for the slope.
Given the details:
Substitute the values:
Thus, the equation of the line is:
Answer:
The response indicates that the test comprises 10 questions worth 3 points each and 14 questions worth 5 points. If there are any queries, feel free to ask!!! Thank you!
Given:
Triangle ABC is rotated 90 degrees counterclockwise and then translated vertically by 3 units to form triangle A'B'C'.
To determine:
The transformation rule necessary to map each point (x,y) on Triangle ABC to its equivalent point on Triangle A'B'C'.
Solution:
For a figure that undergoes a 90-degree counterclockwise rotation, the transformation will be defined as:
To translate a figure upward by 3 units, the appropriate transformation will be applied afterwards.
Hence, when triangle ABC experiences a rotation of 90 degrees counterclockwise followed by a translation of 3 units upward to create triangle A'B'C', the transformation rule will be established accordingly.
