
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:
b+5 ≥ 12
Step-by-step explanation:
Let the additional bushes to be planted be represented by a variable b
Since Tamara already planted 5 bushes, 5 will be a constant in the inequality ;
So,
b+5 ≥ 12 will be the inequality used to find number of bushes.
Answer:
m = 2
Step-by-step explanation:
∠ GLI = 90°
∠ GLH + ∠ HLI = ∠ GLI , that is
9m + 25m + 22 = 90
34m + 22 = 90 ( subtract 22 from both sides )
34m = 68 ( divide both sides by 34 )
m = 2
Then
∠ HLG = 9m = 9 × 2 = 18°