Define bisect and midpoint. Using constructions, draw and label an angle bisector and a perpendicular bisector. Show segment add
1 answer:
Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
<h3>What is Angle addition postulate?</h3>This theory states that if two angles are said to be put beside each other, the resulting angle is said to be equal in terms of the sum of the two real angle measures.
Note therefore, that that Bisect is a word that means to divide a thing, line or a circle into two parts. While midpoint is known as the middle point that exist in a line segment.
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Answer:
There is a 91.15% probability that their mean life will be longer than 12 years.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.2 years, and standard deviation of 3.1 years. This means that .
If you randomly purchase 12 items, what is the probability that their mean life will be longer than 12 years?
There are 12 items, so .
This is 1 subtracted by the pvalue of Z when .
By the Central Limit Theorem, we use the standard deviation of the sample in the Z score formula. That is:
has a pvalue of 0.0885
This means that there is a 1-0.0885 = 0.9115 = 91.15% probability that their mean life will be longer than 12 years.