<span>y+4=2/3(x+7)
</span><span>Multiplying both sides by the denominator which is 3:
</span>3(y+4) = 3(2/3) * (x+7)
3y+12=2x+14
Subtract 3y:
12 = 2x - 3y + 14
Subtract 14
-2 = 2x - 3y
7z - 1/2 = 3z - 2
Subtract 3z to both sides:
4z - 1/2 = -2
Add 1/2 to both sides:
4z = -1 1/2
Divide 4 to both sides:
z = -0.375 or -3/8
To find the mean of the data set you would add all the number of the data set (2,2,2,3,4,4,4,4,6,6,7,7,7,8 )-data set based on dot plot then add all number together which would give you 75 then you would divide by the amount of numbers (15) and 75/15=5 so your mean would be 5
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
.
