So remember that the distance formula is 
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1.
Distance between (4,-5) and (4,-2) is 3 units.
2.
Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.
Answer:
0.022
Step-by-step explanation:
Given that :
Population size = 25000
n = 500 ; p = 0.4
Size of random sample (n) = 500
5% of population size : 0.05 * 25000 = 1250
Distribution is normally distributed since n < 5% of population size
Hence, the mean of the distribution = p = 0.4
Standard deviation = √((pq) /n)
q = 1 - p ; q = 1 - 0. 4 = 0.6
Standard deviation = √((0.4 * 0.6) /500)
Standard deviation = 0.0219089
= 0.022
Answer:
Square base dimension = 15 inches
Maximum volume = 7200 inches^3
Step-by-step explanation:
V = x^2y ..... eq 1
Let the square base be x and the height y
Oversize formular is given by
Y + 4x = 92
Y= 92 - 4x .....eq 2
Put eq 2 into eq 1
V = x^2 ( 92 - 4x^3)
V= 92x^2 - 4x^3
Using derivatives
V= 184x - 12x^2
V'= 0 = 184x - 12x^2
X(184 -12x)
X=0
X = 184/12 = 15.33 approximately 15 inches
Maximum Volume = V= 92(15)^2 -5(15)^3
V= 92(225) - 4(3475)
V= 20700 - 13500
V= 7200 inches^3
Answer:
I said 24. I hope this helps and works
Answer:
The annual simple interest is 4.5%
Step-by-step explanation:
54/4= 13.5
13.5/300= 0.045
