Answer:
B ) Negative
Step-by-step explanation:
Given the expression 3xy
when x>0 and y<0
The value of the expression 3xy will be negative.
This is because the product of a positive and negative number will always be negative.
For illustration,
Let x=5>0 and y=-5<0
3xy=3(5)(-5)=-75
NOTE:
Answer:
A <u>tree diagram</u> shows all possible outcomes of two or more events.
Each branch is a possible outcome and can be labelled with a probability.
<u>Step 1</u>: Draw lines (branches) to represent the first set of options (slacks). Write the outcomes on the ends of the branches (brown and black).
<u>Step 2</u>: Draw the next set of branches to represent the second set of options (sweaters). Write the outcomes on the ends of the branches (tan, red and white).
<u>Step 3</u>: Draw the final set of branches to represent the last set of options (shirts). Write the outcomes on the ends of the branches (white and gray).
We assume that the events in this scenario are <u>independent</u> so the probability of the first event happening has no impact on the probability of the second event or the third event happening. Therefore, the probabilities are:
Write these on the branches.
Answer:
a. 15h + 40 ≤ 140
b. h ≤ 6.6
<em>Note: The question is missing a table. The table is shown in the attachment below.</em>
Step-by-step explanation:
a. The school group has $140 to spend, and so can only spend an amount less than or equal to $140 when renting the main hall.
The cost of renting the main includes an hourly rate of $15 and a set-up fee of $40.
Let h represent the number of hours the group can rent the hall.
Cost of renting the main hall, C is given by:
15h + 40 ≤ 140
b. Solution of the inequality:
15h + 40 ≤ 140
15h ≤ 140 - 40
15h ≤ 100
h ≤ 100/15
h ≤ 6.6
Therefore, the main hall can only be rented for a maximum of 6.6 hours or less
