Response:
The width of the arch measures 105 meters
Detailed explanation:
The function that describes the width of the arch is
f(x) = -0.016(x - 52.5)² + 45
where x denotes the horizontal distance from the left end of the arch or the width at its base
f(x) indicates the vertical height of the arch
According to the given quadratic equation, the vertex coordinates of the parabola are (52.5, 45).
The vertex coordinates indicate that
the arch's height is 45 meters
and half the horizontal span from the left end is 52.5 meters
Therefore, the bridge's total width is calculated as 2 times the half span from the left side, which is 2 × 52.5
resulting in 105 meters
Consequently, the bridge's width is 105 meters.
Response: (0.8115, 0.8645)
Step-by-step outline:
Define p as the proportion of individuals who leave one space after a sentence.
Provided: Sample size: n= 525
Number of respondents indicating they leave one space: 440
Thus, the sample proportion is: 
The z-score for a 90% confidence interval is: 1.645
The formula for determining the confidence interval:


Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)