Answer:
86.7 ft²
Step-by-step explanation:
arc area = area of the circle x ( arc angle measure / 360°)
area of the circle = 65 / (270/360) = 86.67 ft²
Answer:
1245
Step-by-step explanation:
Answer:
The equation y = 3x shows a proportional relationship between x and y
Step-by-step explanation:
- <em>The proportional relationship is represented graphically by a line passes through the </em><em>origin point </em>
- <em>The equation of the proportional relationship is </em><em>y = m x</em>
Let us solve the question
Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship
∵ y = 3x
∵ x = 0
∴ y = 3(0)
∴ y = 0
→ That means the line that represents the equation passes through
the origin point
∴ The equation y = 3x shows a proportional relationship between x and y
Answer:
95% Confidence interval: (96.06,103.94)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 85
Sample mean, 
= 100
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 11
95% Confidence interval:
Putting the values, we get,
(96.06,103.94) is the 95% confidence interval for the population mean test score.
