A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
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Answer:
Yes, the cost in dollars and the quantity of yogurt
are indeed proportional.
The relationship can be expressed as:
Step-by-step explanation:
1. If varies directly with
, it can be represented as:
Here, represents the constant of proportionality.
2. We'll calculate the proportionality constant. Given that and
, we have:
3. Thus, the equation becomes:
4. Now, we need to verify proportionality. Substituting , which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:
5. They are indeed directly proportional.
This problem can be addressed by applying the normal approximation to a binomial distribution.
Calculations:
Mean (μ) = np = 10,000 × 0.5 = 5,000
The standard deviation (σ) is given by:
The probability of obtaining more than 5,100 tails is 0.0228, whereas the probability of fewer than 5,100 tails is 0.9772.
Thus, the odds of having more than 5,100 tails are:
0.0228 : 0.9772 = 1 : 42.86.
Calculations:
Mean (μ) = np = 10,000 × 0.5 = 5,000
The standard deviation (σ) is given by:
The probability of obtaining more than 5,100 tails is 0.0228, whereas the probability of fewer than 5,100 tails is 0.9772.
Thus, the odds of having more than 5,100 tails are:
0.0228 : 0.9772 = 1 : 42.86.