Answer:
1. $22.58
2. $28.70
3. $27.58
4. 15%
Step-by-step explanation:
#3: 22 + 1.98 = 23.98 + 3.60 = 27.58
This is a polynomial with more than 2 as a degree. Using Descartes Rule of Signs:
f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12
Signs: + + + + − + 2 sign changes ----> 2 or 0 positive roots
f(−x) = (−x)⁶ + (−x)⁵ + (−x)⁴ + 4(−x)³ − 12(−x)² + 12 f(−x) = x⁶ − x⁵ + x⁴ − 4x³ − 12x² + 12
Signs: + − + − − + 4 sign changes ----> 4 or 2 or 0 negative roots
Complex roots = 0, 2, 4, or 6
Answer:
The probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Step-by-step explanation:
Denote the events provided as follows:
<em>S</em> = a product is successfully launched
<em>P</em> = positive test market result
The information provided is:
P (S) = 0.60
P (P | S) = 0.80
P (P | S') = 0.30
Then,
P (P' | S) = 1 - P (P | S) = 1 - 0.80 = 0.20
P (P' | S') = 1 - P (P | S') = 1 - 0.30 = 0.70
Compute the probability of positive test market result as follows:


The probability of positive test market result is 0.60.
Then the probability of negative test market result is:
P (P') = 1 - P (P)
= 1 - 0.60
= 0.40
Compute the probability that the product will be successfully launched given that the market test result comes back negative as follows:


Thus, the probability that the product will be successfully launched given that the market test result comes back negative is 0.30.
Radius = half of diameter
16 mm/2 = 8 mm
Solution: 8 mm