Answer:
see below
Step-by-step explanation:
75% of what number is 150
75 150
----- = ---------
100 x
75*2 = 150
So multiply the left by 2/2
75*2 150
----- = ---------
100*2 x
150
------
200
Answer:
Answer D (2206.5 ft^2) is closest to the calculated answer 2206.85 ft^2.
Step-by-step explanation:
We can break up this figure into a 30 ft by 50 ft rectangle and a circle of diameter 30 ft.
The area of the rectangular part is A1 = (30 ft)(50 ft) = 1500 ft^2.
The area of the circular part is A2 = π(15 ft)^2 = 706.9 ft^2
Thus, the total area is approx A1 + A2, or 2206.86 ft^2 (Answer D)
Answer:
Step-by-step explanation:
1. 4x = 7(x - 3) 1.Given
4x = (7)(x) + (7)(-3)
2. 4x = 7x - 21 2.Distributive property
4x - 7x = 7x - 7x - 21
3. -3x = -21 3.Subtraction property of equality
-3x : (-3) = -21 : (-3)
4. x = 7 4.Division property of equality
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