Answer:
Probability of no black bead is adjacent to the yellow bead is = 0.966
Step-by-step explanation:
First to arrange all the beads without restrictions = 6! = 720
Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720
= 0.0333
Probability of no black bead is adjacent to the yellow bead is
= 1- Probability the black bead is adjacent to Yellow bead
= 1-0.033
= 0.966
Answer:
C -36
Step-by-step explanation:
Answer:
x = -3/89
Step-by-step explanation:
Answer:
(294π +448) cm³ ≈ 1371.6 cm³
Step-by-step explanation:
The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.
The cylinder volume is ...
V = πr²h = π(7 cm)²(6 cm) = 294π cm³
__
The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...
V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³
Then the total volume of the composite figure is ...
(294π +448) cm³ ≈ 1371.6 cm³
Inside the root is 50-1
50-1 = 49
You would remain with root 49 but, if you calculate the square root the answer would be 7 because...
7•7 = 49
^ So, the answer is 7
