Question

В соревнованиях участвуют 50 спортсменов, 2 из испании, 5 из парагвая. порядок выступления определяется случайной жеребьёвкой. Найдите вероятность того, что двадцать шестым будет выступать спортсмен из Испании. и вторая задача: В цилиндрический сосуд налили 900 СМ3 воды. После погрузили туда деталь и уровень жидкости увеличился в 1/3 раза. Найдите объём детали. Я решил так: уровень увеличился в 1/3, значит стал 1200см3, значит объём детали 300см3. всё так ?

Answer 1

В первом 2:50=0,04, так как 2 из Испании, а всего спортсменов 50

Answer 2

Probability of Spanish Athlete Performing 26th

To find the probability of a Spanish athlete performing 26th in the competition, we can use the following approach:

1. Total Number of Athletes: 50 2. Number of Athletes from Spain: 2 3. Number of Athletes from Paraguay: 5

The probability of a Spanish athlete performing 26th can be calculated using the total number of athletes and the number of Spanish athletes.

The probability can be calculated as: \[ P(\text{Spanish athlete performing 26th}) = \frac{\text{Number of Spanish athletes}}{\text{Total number of athletes}} \]

Substituting the given values: \[ P(\text{Spanish athlete performing 26th}) = \frac{2}{50} = 0.04 \]

Therefore, the probability of a Spanish athlete performing 26th is 0.04 or 4%.

Volume of the Submerged Part

To find the volume of the submerged part, we can use the following information:

1. Initial Volume of Water: 900 cm^3 2. Increase in Level: 1/3

The increase in the level of the water due to the submerged part can be calculated using the initial volume of water and the increase in level.

The increase in volume can be calculated as: \[ \text{Increase in volume} = \frac{1}{3} \times \text{Initial volume of water} \]

Substituting the given values: \[ \text{Increase in volume} = \frac{1}{3} \times 900 = 300 \, \text{cm}^3 \]

Therefore, the volume of the submerged part is 300 cm^3.

It seems your calculation for the volume of the submerged part is correct. The volume of the submerged part is indeed 300 cm^3.