Answer:
7 and 6/8
Step-by-step explanation:

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

"Chocolate" has the marginal distribution given by the second column, with a total probability of

. Similarly, "Adults" has the marginal distribution described by the third row, so that

. Then

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with

.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;


c. Yes;

Answer:
Use the binomial expansion theorem to find and simplify each term.
y
8+8
y7+28y6+56y5+70y4+56y3+28y2+8y+1
Step-by-step explanation:
Answer:
- The graph has a minimum.
- The graph has a y-intercept at (0, -3).
- The solutions ... are -1 and 3.
- The vertex is located at (1, -4).
- In the equation, 'a' would be positive.
Step-by-step explanation:
When the graph has a low point, it has a minimum. 'a' is positive in that case. The coordinates of that low point are (1, -4). That point is the vertex.
The graph crosses the y-axis at y = -3, so the y-intercept is (0, -3).
The graph crosses the x-axis at (-1, 0) and (3, 0). These points represent the solution to the equation y = 0.
- The graph has a minimum.
- The graph has a y-intercept at (0, -3).
- The solutions ... are -1 and 3.
- The vertex is located at (1, -4).
- In the equation, 'a' would be positive.
Answer:
option c
x + 4 = 64
and
option e
x = 60
Step-by-step explanation:
Given in the question an expression
3∛x+4 = 12
∛x + 4 = 12/3
∛x + 4 = 4
Take cube on both sides of the equation
∛(x + 4)³ = 4³
x + 4 = 64
x = 64 - 4
x = 60