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3 years ago

BRAINIEST TO WHOEVER RIGHT NOW PLZ. I NEED IT DONE NOW

Mathematics

2 answers:

My name is Ann [436]3 years ago

8 0

Answer:

21.

Step-by-step explanation:

An outlier is basically a data point that is just significantly different from other data values (way higher or way lower.)

However, you can see that most of the data points range in the 50-70 points, except the 21. Therefore, it is an outlier.

aliina [53]3 years ago

4 0

Answer:

The outlier will be 21.

Step-by-step explanation:

As we can see, most of the points are in the 50, 60, 70 range.

There are none in 30 nor 40.

21 is far away from the 50, 60, 70 range (where most points are), so therefore, it is an outlier.

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Leslie tunes musical instruments. Leslie tuned a guitar with 6 strings today. Then she tuned a piano with 37 times as many strin

e-lub [12.9K]

Answer: The piano has 222 strings, because 37×6=222.

Step-by-step explanation:

Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.

This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:

= 6 × 37

= 222 strings.

Leslie tuned 222 strings.

Therefore, the piano has 222 strings, because 37×6=222.

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3 years ago

Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa

Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

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 estabilishes 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 $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8.7% and standard deviation 20.2%.

This means that $\mu = 8.7, \sigma = 20.2$

40 years:

This means that $n = 40, s = \frac{20.2}{\sqrt{40}}$

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

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

By the Central Limit Theorem

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