In order for the parallelogram to be a rhombus x = ?
1 answer:
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Answer:
Yes, it would be unusual.
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.
If or
, the outcome X is considered unusual.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
Would it be unusual for this sample mean to be less than 19 days?
We have to find Z when X = 19. So
By the Central Limit Theorem
, so yes, the sample mean being less than 19 days would be considered an unusual outcome.
Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is .
The angle of the other triangle plus the angle
of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,
To find ?, we have
16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is
Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have