Answer: Estimated the standard deviation α = 5.35
Step-by-step explanation:
According to Empirical rule, the largest value is approximately:
ц + 3α
And the smallest value is approximately:
ц + 3α
Based on the given figures in the question, we can say
ц + 3α = 140.6
ц - 3α = 108.5
Now subtracting these two; we have
ц + 3α - ( ц - 3α ) = 140.6 - 108.5
ц + 3α - ц + 3α = 32.1
6α = 32.1
α = 32.1 / 6
α = 5.35
Estimated the standard deviation α = 5.35
Answer:
(3, 10 ) and (7, 30 )
Step-by-step explanation:
Given the 2 equations
5x - y = 5 → (1)
2y - x² = 11 → (2)
Rearrange (1) expressing y in terms of x
y = 5x - 5 → (3)
Substitute y = 5x - 5 into (2)
2(5x - 5) - x² = 11
10x - 10 - x² = 11 ← rearrange into standard form
x² - 10x + 21 = 0 ← in standard form
(x - 3)(x - 7) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 7 = 0 ⇒ x = 7
Substitute these values into (3) for corresponding values of y
x = 3 → y = 5(3) - 5 = 15 - 5 = 10 ⇒ (3, 10 )
x = 7 → y = 5(7) - 5 = 35 - 5 = 30 ⇒ (7, 30 )
Answer:
the total amount of water supplier per hour to the region within a circle of radius R=110 ( that is from distance r, 0<r<110)
Step-by-step explanation:
if f(r) describes the water supplied at a distance r , the total amount supplied inside a region that goes from 0 until the circle of radius R, is the sum of all f(r) values from 0 until R, that is the integral value over these limits.
The formula deduction can be found in the attached picture
There is an "r" that multiplies e^-r as result of changing from rectangular coordinates to polar ones.(dx*dy --> r*dr*da)
Answer:
y=-5/9
Step-by-step explanation:
it says 9y=-5
divide both sides by 9
y=-5/9
Answer:
620
Step-by-step explanation:
10³ = 1000
620000 ÷ 1000 = 620