Big rectangle
3x-4 (2x+2) = 6x^2-8x+6x-8
=6x^2-2x-8 = 3x^2-x-4
Small rectangle
(X-3) (x-6) = x^2-3x-6x+18
=x^2-9x+18
Big-small= 2x^2+8x-22 is the area of the shaded region
Answer:
the value of x = 3
Step-by-step explanation:
-3 (-5x+2)+x-3=39
open the bracket by multiply each by -3
15x-6+x-3=39
collect the like terms
16x-9=39
16x=39+9
16x=48
divide both sides by 16
x=3
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Answer:
d) A = π(
)
Step-by-step explanation:
area = π 
diameter = 18
radius (half of diameter) = 9
area = π 
Answer: 169.2 per acre are produced if a field is in the top 25%.
Step-by-step explanation:
Given: The mean rain-fed corn yield of harvested fields are normally distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.
Let X denote the mean rain-fed corn yield of harvested fields.
Let x denotes the number of bushels per acre are produced if a field is in the top 25%.
Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.
I.e.
.
Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]
Then, 

Here approx value is 169.2 (from options).
So, 169.2 per acre are produced if a field is in the top 25%.
The answer would be 173.42cm²