Answer:
B. $2.50
Step-by-step explanation:
The graph shows that one plant is half of $5, which is $2.50.
The drop down menus are not provided. However, I will help get the solution of the system of equation which is the requirement of the question.
<u><em>Answer:</em></u>
(3,14) and (-2,-1) are the solutions of the system
<u><em>Explanation:</em></u>
<u>The first equation given is:</u>
y = x² + 2x - 1 .........> equation I
<u>The second given equation is:</u>
y - 3x = 5
<u>This can be rewritten as:</u>
y = 3x + 5 ..........> equation II
<u>Equate equations I and II and solve for x as follows:</u>
x² + 2x - 1 = 3x + 5
x² + 2x - 1 - 3x - 5 = 0
x² - x - 6 = 0
(x-3)(x+2) = 0
either x-3 = 0 .........> x = 3
or x+2 = 0 ...........> x = -2
<u>Now, we get the values of y by substituting in equation II as follows:</u>
At x = 3:
y = 3x + 5
y = 3(3) + 5
y = 14
The first solution is (3,14)
At x = -2:
y = 3x + 5
y = 3(-2) + 5
y = -1
The second solution is (-2,-1)
Hope this helps :)
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
.
