Answer:
f(x) = 0.9144x
Step-by-step explanation:
To convert 3 yards to meters by multiplying 3*0.9144 = 2.7432 meters. This can be done for any number of yards x by writing f(x) = 0.9144x.
Answer:

Step-by-step explanation:
Given



Required
Area of triangle
This is calculated as:

This gives:



--- approximated
Answer:

Step-by-step explanation:
<u>Given</u>
<u />
<u>Solution</u>
(1) Find the rate of the cube's edge length with respect to time at s=30:

(2) Find the rate of the cube's surface area with respect to time at s=30:

Therefore, the surface area increases when the length of an edge is 30 cm at a rate of
.
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:
- P(brown slacks) = 1/2
- P(black slacks) = 1/2
- P(tan sweater) = 1/3
- P(red sweater) = 1/3
- P(white sweater) = 1/3
- P(white shirt) = 1/2
- P(gray shirt) = 1/2
Write these on the branches.