Which mixed number is equivalent to the improper fraction? 35/6
2 answers:
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Answer:
1.25% probability that 20 young workers average less than 15 weeks to find a job
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 20 young workers average less than 15 weeks to find a job?
This is the pvalue of Z when X = 15. So
By the Central Limit Theorem
has a pvalue of 0.0125.
1.25% probability that 20 young workers average less than 15 weeks to find a job
Answer:
Ethan can type 12 pages before the meeting starts.
Step-by-step explanation:
Given:
Number of pages he can type =2
Number of hours he can type 2 pages =
We need to find number of pages he can type in
Solution:
Now first we will find number of pages in 1 hour
So we can say;
In = 2 pages
In 1 hour = number of pages he can type in 1 hour
By Using Unitary method we get;
number of pages he can type in 1 hour =
Now we can say that;
In 1 hour = 16 pages
So = number of pages he can type in
Again By using Unitary method we get;
number of pages he can type in =
Hence Ethan can type 12 pages before the meeting starts.