Answer:
Step-by-step explanation:
Given:
Area = 3x^3 - 16x^2 + 31x - 20
Base:
x^3 - 5x
Area of trapezoid, S = 1/2 × (A + B) × h
Using long division,
(2 × (3x^3 - 16x^2 + 31x - 20))/x^3 - 5x
= (6x^3 - 32x^2 + 62x - 40))/x^3 - 5x = 6 - (32x^2 - 92x + 40)/x^3 - 5x = 2S/Bh - Ah/Bh
= 2S/Bh - A/B
= (2S/B × 1/h) - A/B
Since, x^3 - 5x = B
Comparing the above,
A = 32x^2 - 92x + 40
2S/B = 6
Therefore, h = 1
Answer:
0.1611
Step-by-step explanation:
Uaing the binomial probability relation :
p = 0.5 ; q = 1 - p = 0.5
n = 10
Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 7) = 10C7 * 0.5^7 * 0.5^3
P(x = 7) = 0.1172
x = 8 ;
P(x = 8) = 10C7 * 0.5^7 * 0.5^3
P(x =8) = 0.0439
P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611
10:4
35:14
55:22
10:4 divided by 2:2=5:2
35:14 divided by 7:7= 5:2
55:22 divided by 11:11= 5:2
C. 3.16 is the right answer
Step-by-step explanation:
The distance formula used in coordinate geometry is derived from the Pythagorean theorem.
The distance formula is give by:
Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second point
Here,
(x1,y1) = (5,-3)
(x2,y2) = (6,0)
Putting the values in the formula
The distance between two points is 3.16 units.
Hence,
C. 3.16 is the right answer
Keywords: Coordinate geometry, Pythagorean Theorem
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