To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, mea
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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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<u>Given</u>:
The given graph represents the cost of the Kayak's rental per hour.
The coordinates are (2,30) and (3,45)
We need to determine the unit rate of renting per hour.
<u>Unit rate of renting:</u>
The unit rate of renting can be determined using the formula,
Substituting the coordinates (2,30) and (3,45), we get;
Simplifying, we get;
Dividing, we get;
Thus, the unit rate for renting a Kayak is $15 per hour.