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
</span>
Answer:
C. 350 miles
Step-by-step explanation:
Daphne wants to drive 3/4 of the distance in the first 2 days. So, her mileage per day should be about (3/4)/2 = 3/8 of the total mileage:
(3/8)(932.4 mi) = 349.65 mi ≈ 350 mi
She should drive about 350 miles on each of the first 2 days.
Most likely not.
The reason behind this is that the random participants only include just under 10% of the population. This has the ability to oversee minority judgement.
Cluster sampling should be used. This splits the population up into groups. For instance, we could split it up by race and sample that way. Or split it up by net worth. Or occupation. Whatever works best for this survey!
Hope I helped!
<h3>
Answer: 27</h3>
===============================================
Work Shown:
x = smaller integer
x+1 = larger integer
x and x+1 are consecutive integers since the larger follows right after the smaller
5*(smaller) - 3*(larger) = 51
5*(x) - 3*(x+1) = 51
5x - 3x - 3 = 51
2x - 3 = 51
2x = 51+3
2x = 54
x = 54/2
x = 27
x+1 = 27+1 = 28
The two consecutive integers are 27 and 28.