50.0 because of the decimal point
F''(x) = 6x + 8
∫f''(x) = f'(x) = 3x^2 + 8x + c1
∫f'(x) = f(x) = x^3 + 4x^2 + c1x + c2
At point (0, -2),
c2 = -2
3x - y = 2
y = 3x - 3
f'(0) = 3
c1 = 3
Therefore, the required function is
f(x) = x^3 + 4x^2 + 3x - 2
Answer:
HDTV Converters
a. The probability that the driver will have enough working converters = 80% (100 - 20%).
b. The driver should load 10 boxes (or specifically 9.5 boxes) to ensure a 95% probability of having enough working converters.
Step-by-step explanation:
a) Data and Calculations:
Probability of HDTV converters known to not work property = 20%
This implies that 80% (100 - 20%) will work properly.
Number of converters to install today in an apartment building = 8
Number of converters placed in the truck = 10
b) The probability that the driver will have enough working converters = the probability of having properly working converters, which is 80%. To ensure a 95 percent probability of having enough working converters, out of 10 converters, the number of boxes to load on the truck is 9.5 (10 * 95%) boxes. Since there are no half boxes, it means that 10 boxes must be loaded, approximated to the nearest convenient number.
Answer:
1. D. Teorema.
2. A. Axioma.
Step-by-step explanation:
En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.
Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.
