Answer : 5/22
A deck of cards contains 6 black cards and 6 red cards. The first card drawn is not replaced before drawing the second card.
Total number of outcome of cards = 12
Probability( any event)= favorable outcomes divide by total number of outcomes
Probability of selecting black card = 
The drawn card is not replaced . so 11 cards left . In that 11 cards, 5 black cards because one black card is already chosen
Probability of selecting another black card = 
Probability of selecting a black card followed by another black card =
= 
=
Answer:
(B) 
General Formulas and Concepts:
<u>Calculus</u>
Limits
Derivatives
- The definition of a derivative is the slope of the tangent line.
Derivative Notation
Instantaneous Rates
- Tangent Line:

Step-by-step explanation:
Since we are trying to find a <em>rate</em> at which W(t) changes, we must find the <em>derivative</em> at <em>t</em> = 3.
We are given 2 close answer choices that would have the same <em>numerical</em> answer but different <em>meanings</em>:
- (A)

- (B)

If we look at answer choice (A), we see that our units would simply just be volume. It would not have the units of a rate of change. Yes, it may be the closest numerically correct answer, but it does not tell us the <em>rate</em> at which the volume would be changing and it is not a derivative.
If we look at answer choice (B), we see that our units would be cm³/s, and that is most certainly a rate of change. Answer choice (B) is also a <em>derivative</em> at <em>t</em> = 3, and a derivative tells us what <em>rate</em> something is changing.
∴ Answer choice (B) will give us the best estimate for the value of the instantaneous rate of change of W(t) when <em>t</em> = 3.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e
Answer:
The second option.
3x + 6 = 21.
Step-by-step explanation:
3x + 6 = 21.
If x = 5, plug it in.
3 · 5 + 6 = 21
15 + 6 = 21
Hope this helps,
Davinia.