Answer:
(5x² +7x -26) units²
Step-by-step explanation:
Area of shaded region
= Area of larger rectangle -area of smaller rectangle
Area of larger rectangle
= (3x -4)(2x +2)
= 3x(2x) +3x(2) -4(2x) -4(2) <em>(</em><em>Expand</em><em>)</em>
= 6x² +6x -8x -8
= 6x² -2x -8
Area of smaller rectangle
= (x -6)(x -3)
= x² -3x -6x +18 <em>(</em><em>Expand</em><em>)</em>
= x² -9x +18
Area of shaded region
= 6x² -2x -8 -(x² -9x +18)
= 6x² -2x -8 -x² +9x -18
= 5x² +7x -26
Answer:
Step-by-step explanation:
0.31=0.3100
0.409=0.4090
0.414=0.4140
0.4186
arranging smallest to largest
0.3100,0.4090,0.4140,0.4186
or 0.31,0.409,0.414,0.4186
Answer:
7/80
Step-by-step explanation:
Given that: P(B) = 7 / 20, P(A|B)= 1 / 4
Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:
Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.
Answer:
B. 2010.62 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h . . . . . where r is the radius and h is the height
Filling in the numbers and doing the arithmetic, we get ...
V = π(8 ft)²(10 ft) = 640π ft³ ≈ 2010.6193 ft³ ≈ 2010.62 ft³
The volume of the cylinder is about 2010.62 ft³.
Answer:
account for the majority of O-rings produced, namely Nitrile, EPDM and ... For the most current information, contact the O-Ring Division. ... O-ring resulting in “nibbling” (see Zatkoff Product catalog, ... 72 0,23. 30 0,25. 89 0,25. 47 0,25. 07 0,25. 64 0,25. 24 0,25. 82 0,30. 42 0,30. 99 0, ... JASO-1016 ... R12,5-591 ... R26,5-605.
Step-by-step explanation:
