A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without r

These experiments depend on Bernoulli's principle. If the likelihood of "success" is p and you are looking for k successes out of n attempts, the probability can be expressed as:

To simplify the calculation for the first probability, instead of determining the chances of at least one subject having breakfast, we calculate the opposite: that none do. Thus, we seek 0 successes from 4 trials with a success probability of 0.34. Using the formula gives us:

With the contrary outcome at 17%, the probability of our event "at least one of the surveyed eats breakfast" is 83%.

Regarding the second question, the event "at least three of the surveyed eat breakfast" encompasses the events of "exactly three eating breakfast" and "exactly four eating breakfast." So, we just need to add their probabilities:

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H represents the height of the ball at a specific time, denoted by t. To determine when it reaches the ground, we need to set h to 0. The equation translates to 0 = -4.9t² + 19.6t + 58.8, leading to 0 = 4.9t² - 19.6t - 58.8, then simplified to 0 = t² - 4t - 12. Factoring yields 0 = (t - 6)(t + 2), giving solutions of t = 6 or -2. However, since time cannot be negative, the ball will hit the ground after 6 seconds.

1.) Les composés carbonés sont fondamentaux pour tous les éléments organiques, constituant les bases de tous les organismes vivants.

2.) La forme allotropique du carbone en diamant est la substance la plus dure connue.

3.) Le carbone peut établir des liaisons covalentes avec d'autres atomes de carbone, formant ainsi des chaînes continues, des branches et des boucles. 

To tackle this, we will apply the compound interest formula:
where
represents the final amount after years
denotes the initial investment
is the interest rate expressed as a decimal
indicates the frequency of interest compounding annually

Initially, for the first four years, we have: , , , and as the problem does not specify the frequency of compounding, we will assume it occurs annually; thus, . Now, let's insert these values into our formula:





For the subsequent six years, the initial amount will be the resulting figure from our prior calculation, which means . We also know that: , , and . Let's substitute these figures back into our formula:





In conclusion, Collin's account will contain <span>£3691.41 after a decade.</span>