Hi Mackenzie.
Given that we have a probability question with the term "or", we are going to be adding individual probabilities.
We have Ethan, Hannah, and Sophie all included with the drawing.
This means we need to add each of their individual probabilities, 1/1200, together.
1/1200 + 1/1200 + 1/1200 = 3/1200;
To simplify: 1/400
Your answer is:
The probability of Ethan, Hannah, or Sophie being drawn is 1/400.
I hope this helps!
Answer:
Choices 2, 3, and 5 are correct.
Step-by-step explanation:
Complete question is:
Check all that apply.
1. ln ab² - ln a
2. ln a + 2 ln b
3. ln a² + ln b² - ln a
4. 2 ln ab
5. ln ab²
ANSWER:
The given expression is : 2 ln a + 2 ln b - ln a
It simplifies to: ln a + ln b² = ln ab²
Checking the given options.
1. ln ab² - ln a = ln (ab²)/a = ln b²
FALSE
2. ln a + 2 ln b = ln ab²
TRUE
3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²
TRUE
4. 2 ln ab = ln a²b²
FALSE
5. ln ab²
TRUE
4.57 rounded to the nearest whole number is 5

The sign at the end changes because both sides of the equation are being divided by a negative number.