Answer:
Lowest acceptable score = 121.3
Step-by-step explanation:
Mean test score (μ) = 115
Standard deviation (σ) = 12
The z-score for any given test score 'X' is defined as:
In this situation, the organization is looking for people who scored in the upper 30% range, that is, people at or above the 70-th percentile of the normally distributed scores. At the 70-th percentile, the corresponding z-score is 0.525 (obtained from a z-score table). The minimum score, X, that would enable a candidate to apply for membership is:

I hope this helps you
length 2w+3
width w
Perimeter=2 (width+length)
30=2 (w+2w+3)
15=3w+3
3w=12
w=4
2w+3=2.4+3=11
5 divided by 4=1.25 I think I am right
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
.
Answer:
the answer is 126 because 9 times 14 is 126