Answer:
La conclusión sobre p utilizando una desigualdad de valor absoluto es
Explicación paso a paso:
Según el enunciado, nos informan que
La proporción de la muestra es 
El margen de error es 
El intervalo de confianza se representa matemáticamente como
=> 
=>
Answer:
a) Ann has a 1/3 chance of winning in the first round
b) The chance of Ann winning for the first time in the fourth round is 8/81
c) The probability that Ann's first win occurs after the fourth round is 16/81
Step-by-step explanation:
a) Each strategy is played with a probability of 1/3. Given any strategy, there’s a 1/3 chance that Bill will choose the strategy that allows Ann to win. Consequently, the probability of Ann securing a victory in the first round (or any round) is
1/3 * 1/3 + 1/3 * 1/3 + 1/3 * 1/3 = 1/9 + 1/9 + 1/9 = 1/3.
Thus, the likelihood of Ann winning the initial round is 1/3.
b) The chances of Ann winning a round stand at 1/3; therefore, her chances of not winning are 2/3. This must happen three times before her first victory. Thus, the probability that Ann's first win occurs in the fourth round is
(2/3)³ * 1/3 = 8/81.
c) The first victory happens after the fourth round if she remains unsuccessful in the first four rounds, translating to a possibility of (2/3)⁴ = 16/81.
Assuming that the departure day for both is day 0, Sandy's next day off occurs on day 4, while Morgan's falls on day 10. Sandy's days off will be on days 4, 8, 12, 16, and 20. Meanwhile, Morgan's days off will be on days 10, 20, 30, 40, and 50. Thus, both of them will share a day off on day 20, meaning they will next have a joint day off in 20 days.
Answer: d. AB = CD and BC = AD
Step-by-step explanation:
A parallelogram is defined as a four-sided figure with the following characteristics:-
- Opposite sides are equal (AB = CD and BC = AD
).
- Opposite angles are equal (∠A=∠C and ∠D=∠B).
- Consecutive angles are supplementary (∠A + ∠D = 180°).
- The diagonals bisect one another.
- If one angle is a right angle, then all angles are right angles.
