Answer:
A) 15x - 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x(3 - 12x) - 3(4 - 20x²)
<u>Step 2: Simplify</u>
- Distribute: 15x - 60x² - 12 + 60x²
- Combine like terms: 15x - 12
6/962...............................................
Solution: Telemarketing. the probability that a call will reach a live person is 0.2. the calls are independent. (a) a telemarketer places 5 calls. what is the probability that none of them reaches a live person.
Answer: The given random experiment can be considered as binomial experiment with probability of success = 0.2 and number of trials = 5
Therefore, we have:

Let x be the number calls that reach to live person.
We have to find 
Using the binomial probability distribution, we have:



Therefore, the probability that none of them reaches a live person is 0.3277
Answer:
Margin of Error = 5.4088 ;
Confidence interval = (30.1 ; 40.9)
Interval estimate are almost the same
Step-by-step explanation:
Given that :
Population standard deviation, σ = 9.3
Sample size, n = 8
Xbar = 35.5
Confidence level = 90%
The confidence interval:
Xbar ± Margin of error
Margin of Error = Zcritical * σ/sqrt(n)
Zcritical at 90% = 1.645
Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088
Confidence interval :
Xbar ± Margin of error
35.5 ± 5.4088
Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1
Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9
(30.1 ; 40.9)
T distribution =. (30.5 ; 40.5)
Normal distribution = (30.1, 40.9)
Sort the pentagon into 5 triangles and then solve for each one