A house on the market was valued at $327,000. after several years the value increased by 17% by how much did the house's value increase in dollars? what is the current value of the house?

How much did the house's value increase in dollars?

327,000 x 0.17 (17%) = $55,590

What is the current value of the house?

327,000 + 55,590 = $382,590

7 0

2 years ago

Suppose that replacement times for washing machines are normally distributed with a mean of 9.4 years and a standard deviation o

Nezavi [6.7K]

Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by $\mu = 9.4, \sigma = 2$ .

The desired value is the 82nd percentile, which is X when Z = 0.915, hence:

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

$0.915 = \frac{X - 9.4}{2}$

X - 9.4 = 0.915(2)

X = 11.23

The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.

More can be learned about the normal distribution at brainly.com/question/24663213

6 0

1 year ago