Anyone knows about limitation and continuity?

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

8 0

If you just plug x=1 in the expression, you can see that, as x approaches 1, the whole expression approaches the following quantity:

$\frac{\sqrt{1-y}-2}{2-1} = \frac{\sqrt{1-y}-2}{1} = \sqrt{1-y}-2$

Now, how can we find the value of y? We need some additional request. For example, if we knew that this limit had to equal 3, then we would have written

$\sqrt{1-y}-2 = 3$

and solved for y. But without something like this, we can only compute the limit and get rid of x, but y stays.

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A study of drive-thru wait times for fast-food restaurants found that the average time spent Wendy's drive-thru was 138.5 second

OlgaM077 [116]

Answer:

207.72 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.

This means that $\mu = 138.5, \sigma = 29$