Actual distance between two places is 130 miles. The scale of the map is
1 answer:
Answer:
1.3 inches
Step-by-step explanation:
1. Determine what you already know in order to set up the equation:
1 inch = 100 miles
<em>x</em> inches = 130 miles
Solving for <em>x</em>
2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)
=
3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)
100<em>x</em> = 130
4. Divide each side by 100 to isolate the variable.
<em>x</em> = 1.3
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Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 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.
In this problem, we have that the mean and the standard deviation are given, respectively, by:
.
The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:
Z = 0.67
Z = 0.67 has a p-value of 0.7486.
1 - 0.7486 = 0.2514.
0.2514 = 25.14% of the batteries will last more than 420 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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