Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =
(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =
= 2a^3 - 2(a^3)/3 = [4/3](a^3)
Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = <span>a^3
ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =
Limit of </span><span><span>a^3 / {[4/3](a^3)} </span>as a -> 0 = 1 /(4/3) = 4/3
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Just simplify the following equation
2 (9.95) + 3 (11.99)
19.90 + 35.97
55.87 spent
Step-by-step explanation:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
my only advice
Answer:
Binomial distribution,
n = 36 independent events,
p = 0.5 probability of success and of failure, as 1-p = p.
Mean of binomial distribution is np=18.
Variance is np(1-p)=9
Standard deviation is sqrt(variance)=3.
8 Broken toys : 42 total toys = 1 Broken toy : 6 total toys
20 Broken toys : 105 total toys = 4 Broken toy = 21 total toys.
Answer: No: They are not proportional.