For the data set 7,5,10,11,12, the mean,x,is 9. What is the standard deviation
2 answers:
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The area of figure ABCDEF can be computed as the sum of the areas of trapezoid ACDF and triangle ABC, less the area of trangle DEF.
trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
triangle ABC area = (1/2)(AC)(2) = 8
triangle DEF area = (1/2)(DF)(2) = 5
Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42
The actual area of ABCDEF is 42 square units.
trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
triangle ABC area = (1/2)(AC)(2) = 8
triangle DEF area = (1/2)(DF)(2) = 5
Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42
The actual area of ABCDEF is 42 square units.
After 14 months after the first month would the sales reach $9000
For given question,
A Hammer Hardware has sales of $5000 in its first month.
The sales were to increase by 4% every month.
We need to find the number of months after the first month would the sales reach $9000
Let the exponential function for sales is,
f(n)= a (1 + r)^{n}
where, n is the number of months
a is the sales of the first month
r is the rate of increment
So, a = $5000, r = 0.04, f(n) = $9000
Substitute values in above equation.
⇒ 9000 = 5000 × (1 + 0.04)^{n}
Solve above equation for n.
⇒ 1.8 = (1.04)^n
⇒ n =
⇒ n = 14.9
⇒ n ≈ 15
Therefore, after 14 months after the first month would the sales reach $9000
Learn more about the exponential growth here:
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