MARKING BRAINLIEST TO FIRST CORRECT ANSWER If quadrilateral JKLM had a translation where all the vertices were in the third quad
rant, what would be the coordinates of the vertices?
1 answer:
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<h2>It is an obtuse angle.</h2>
Step-by-step explanation:
Obtuse: An obtuse angle is an angle more than but less than
.
Example : ,
etc.
Acute : An acute angle is an angle less than
Example : ,
etc.
Straight : A straight angle is .
Right: A right angle is .
Since the angle is more than but less than
. So, it is an obtuse angle.
Answer:
91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution:
Problems of normally distributed samples are 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.
Central limit theorem:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches
This is the pvalue of Z when X = 106.8. So
By the Central Limit Theorem
has a pvalue of 0.9192
0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches