Determine algebraically if y=x^2 +8 is a one to one function
1 answer:
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The ratio of the area of the smaller rectangle to the area of the larger
rectangle is
Step-by-step explanation:
The formula of the area of a rectangle is A = l × w, where l and w
are its dimensions
- The dimensions of a smaller rectangle are 3 ft by 9 ft
- The dimensions of a larger rectangle are 5 ft by 15 ft
We want to find the ratio of the area of the smaller rectangle to
the area of the larger rectangle
∵ The dimensions of the smaller rectangle are 3 ft and 9 ft
∴ The area of the smaller rectangle = 3 × 9 = 27 feet²
∵ The dimensions of the larger rectangle are 5 ft and 15 ft
∴ The area of the smaller rectangle = 5 × 15 = 75 feet²
Let us find the ratio of the area of the smaller rectangle to the area
of the larger rectangle
→ smaller rectangle : larger rectangle
→ 27 : 75
Divide the both terms of the ratio by 3
→ 9 : 25
The two terms of the ratio do not divisible by any other number
∴ The simplest form of the ratio is 9 : 25
∴ The ratio of the area of the smaller rectangle to the area of the larger
rectangle =
The ratio of the area of the smaller rectangle to the area of the larger
rectangle is
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Answer:
The correct option is b.
Step-by-step explanation:
The formula for standard deviation is
where, is mean of the data and n is number of observation.
The variance of a stock's returns can be calculated by the above formula.
Variance of stock's returns is the average value of squared deviations from the mean.
Therefore the correct option is b.