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1 year ago

Question 1(Multiple Choice Worth 2 points)

Mathematics

2 answers:

earnstyle [38]1 year ago

5 0

These are 3 questions and 3 answers.

1) Find

$\lim_{x \to \ 2^+} f(x)$

Answer: 4.

Explanation:

The expression means the limit as the function f(x) approaches 2 from the right.

Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.

That is the line that has the open circle around y = 4, and that is the limit searched.

2) Use the graph to determine the limit if it exists.

Answer:

$\lim_{x \to \ 2^-} f(x) = 3$

$\lim_{x \to \ 2^+} f(x)=-3$

To determine each limit you use the function from the side the value of x is being approached.

Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.

3)
Answer: - 1

$\lim_{x \to \ 3^-} f(x) = -1$

To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).

Therefore, the limit is - 1.

matrenka [14]1 year ago

4 0

Answer:

number 1 is 4 and number 2 is 3;-2

Step-by-step explanation:

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Answer:

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A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a

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Answer: The comparison is mentioned below.

Step-by-step explanation:

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1 year ago

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Answer:

26.11% of women in the United States will wear a size 6 or smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 23.3, \sigma = 1.4$

In the United States, a woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or smaller?

This is the pvalue of Z when X = 22.4. So

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

$Z = \frac{22.4 - 23.3}{1.4}$