How many positive four-digit integer palindromes have 12 as the sum of the digits of the number?
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Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%
<h3>How to calculate the percent error?</h3>Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)
For the given case, it is specified that:
Actual weight of dog = 32.7 pounds
Guessed weight of dog, by Charlie : 34.5 pounds.
Error = 32.7 - 34.5 = -1.8 pounds
Thus, percent error in Charlie's guess is calculated as:
Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%
Learn more about percent error here:
Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- 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.
The mean and the standard deviation are given, respectively, by:
The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:
Z = 0.59.
Z = 0.59 has a p-value of 0.7224.
1 - 0.7224 = 0.2776.
0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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