Answer:
(a) Each piece is “berry or cherry” with probability p = 1/2. The proba-
bility of only berry or cherry pieces is p
12 = 1/4096.
Step-by-step explanation:
(b) Each piece is “not cherry” with probability 3/4. The probability all 12
pieces are “not pink” is (3/4)12 = 0.0317.
(c) For i = 1, 2, . . . , 6, let Ci denote the event that all 12 pieces are flavor i.
Since each piece is flavor i with probability 1/4, P[Ci
] = (1/4)12. Since
Ci and Cj are mutually exclusive,
P[F1] = P[C1 ∪ C2 ∪ · · · ∪ C4] = X
4
i=1
P[Ci
] = 4 P[C1] = (1/4)11
.
450/3 = x.
150 = x.
So x = 150.
This means 45 is 30% of 150
Answer:
SAS
Step-by-step explanation:
AB=DC which is one side
angles ABC and DCB are both right angles so they are equal
BC=BC because they are the same line segment
and since the congruent angles are between the congruent sides, its SAS
#18
The base area is 14 in ²
The volume is 30.8 in ³
For a prism of any cross-sectional area,
Volume = base area * height
=>
30.8 = 14 * height
Solve for height
Height = 30.8/14 = 2.2 inches.
Ans. Joseph has to make the box 2.2 inches high.
19. Hexagonal prism
Given
Cross section area = 17.01 m ²
Height = 16.2 m
Using above formula for volume,
Volume = 17.01 m ² * 16.2 m
=275.562 m ³
Answer: The volume of stone is 275. 56 m ³ approximately.
