About Reciprocal:
It's when a fraction is flipped.
Example:
- 2/3..... The reciprocal for 2/3 is 3/2.
- 3/5.... The reciprocal for 3/5 is 5/3.
Using the normal distribution, it is found that the lengths for which a bolt will be destroyed are given by:
A. A bolt will be destroyed if the length is less than 11.8 cm or greater than 12.2 cm.
<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 bounds within 4 standard deviations of the mean are , hence:
X - 12 = -4 x 0.05
X = 11.8
X - 12 = 4 x 0.05
X = 12.2
Hence:
A. A bolt will be destroyed if the length is less than 11.8 cm or greater than 12.2 cm.
More can be learned about the normal distribution at brainly.com/question/4079902
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tan^-1(.8) is 38.7, so your angle is 38.7
A) $3+(0.5x4)=$5
B) $3 + (0.5x11) = $8.50
Answer:
Step-by-step explanation:
15y+12x = 18 is equivalent to 5y+4x = 6
2x+3y = 12 is equivalent to -6y = 4x-24
one solution: (x,y) = (-21,18)