The easiest way to find such limits, where there is a numerator and a denominator is to apply <span><span>Hospital's Rule.
1st find the derivative of the numerator and the derivative of the denominator, if it still gives an indeterminate value, find the second derivative of N and D
3) lim sin(2x)/x when x →0
Derivative sin2x → 2cos2x
Derivative x→ 1
2cos2x/1 when x→0 , 2cos2x → 2
and lim sin(2x)/x when x →0 is 2
4) lim(sinx)/(2x²-x)
→cosx/(2x-1) when x →0 cosx/(2x-1) = -1
and lim(sinx)/(2x²-x) when x →0 is -1
and so on and so forth. Try to continue following the same principle
</span></span>
<span>Pass to a teammate or Take a shot so your team can drive the net.</span>
Answer:
Facts: Students must take Algebra I before they can take Algebra II. Dara is currently taking Algebra II.
Conclusion: Dara has taken Algebra I in the past.
Explanation:
This fact states that "Students must take Algebra I before they can take Algebra II", meaning there is no possibility that Dora hasn't taken Algebra l. The other conclusions don't have one definitive possibility.
The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less is 0.0020
<h3>What is probability? </h3>
Probability can be defined as the likelihood of an event to occur. In statistics, the mean of the sample distribution typically shows the probability of the population.
From the parameters given:
- The sample size (n) = 55 patients
- Let's assume that the mean (x) = 32 (i.e. 58.2%) of the patients
The sample proportion
can be computed by using the expression:



If the percentage of the probability of all patients in the emergency room = 0.75
The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less can be computed as:



From the Z distribution table:


Learn more about probability here:
brainly.com/question/24756209