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Mathematics

2 answers:

Luba_88 [7]3 years ago

6 0

Answer:

As shown in picture,

Option 2 is correct.

Horizontal asymptote at y = 0 (graph approaches to 0 when x at -infinity and + infinity)

Option 4 is correct.

Vertical asymptote at x = 6 ( graph goes to infinity when x = 6)

Option 5 is correct.

Vertical asymptote at x = -4 ( graph goes to infinity when x = -4)

Hope this helps!

koban [17]3 years ago

5 0

Answer:

OPTION 4 vertical asymptote at x = 6

OPTION 5 vertical asymptote at x = -4

Step-by-step explanation:

At x = -4 and x = 6, one branch approaches positive infinity and the other approaches negative infinity, so we have vertical asymptotes at x = -4 and x = 6

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .