Solve the system of linear equations.
1 answer:
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Answer:
The probability that the wait time is greater than 14 minutes is 0.4786.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.
The average waiting time is, <em>β</em> = 19 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter .
The probability distribution function of <em>X</em> is:
Compute the value of the event (<em>X</em> > 14) as follows:
Thus, the probability that the wait time is greater than 14 minutes is 0.4786.
Answer:
After 5 weeks.
Step-by-step explanation:
Westley starts with $85 and saves $5 per week. So:
Buttercup starts with $10 and saves $20 per week. So:
When they have the same amount of money, the two equations will be equal to each other. Therefore:
Solve for x. Subtract 10 from both sides:
Subtract 5x from both sides:
Divide both sides by 15:
Westley and Buttercup will have the same amount of money after 5 weeks.