We are able to set 4x+32 equal to 6x-8 because these are congruent vertical angles
4x+32=6x-8
4x+40=6x (add 8 to both sides)
40=2x (subtract 4x from both sides)
X=20 (divide both sides by 2)
Then we plug in 20 for x into 6x-8 to find the answer
6(20)-8
=120-8
=112
Hope this helps!
Answer:
0.0082 = 0.82% probability that he will pass
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
.
If the student makes knowledgeable guesses, what is the probability that he will pass?
He needs to guess at least 9 answers correctly. So









0.0082 = 0.82% probability that he will pass
Answer: Our required probability is 0.39.
Step-by-step explanation:
Since we have given that
X be the exponentially distributed with mean life = 6 years
So, E[x]=6

So, our cumulative distribution function would be

We need to find the probability that the CPU fails within 3 years.

Hence, our required probability is 0.39.
Answer:
f'(-2.4) ≈ -14
General Formulas and Concepts:
<u>Algebra I</u>
Coordinate Planes
Slope Formula: 
Functions
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Step-by-step explanation:
*Note:
The definition of a derivative is the slope of the <em>tangent</em> <em>line</em>.
<u>Step 1: Define</u>
<em>Identify.</em>
f(-2.4) = -1
f(-1.9) = -8
<u>Step 2: Differentiate</u>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.
- [Derivative] Set up [Slope Formula]:

- Substitute in coordinates:

- Evaluate:

---
Learn more about derivatives: brainly.com/question/17830594
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation