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gladu [14]
3 years ago
8

Write the solution of the inequality in set builder notation 7-3d>28

Mathematics
2 answers:
IgorC [24]3 years ago
6 0
D<-7 
{d | d<-7}
Hope this helps!
Tasya [4]3 years ago
4 0

Answer:

{ x :  x is a real number less than -7 }

Step-by-step explanation:

Given inequality,

7-3d>28

\implies -3d > 28 - 7

\implies -3d > 21

\implies d < -7         ( a > b ⇒ na < nb if n < 0 )

That is, all real numbers less than -7,

Now, in set builder form we state the properties of the elements of the set by using the mathematical symbol under the flower bracket {} .

Thus, the required set would be,

{ x :  x is a real number less than -7 }

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Answer:

68.76% probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

Step-by-step explanation:

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What is the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

This is the pvalue of Z when X = 1000+50 = 1050 subtracted by the pvalue of Z when X = 1000-50 = 950. So

X = 1050

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By the Central Limit Theorem

Z = \frac{X - \mu}{s}

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Z = \frac{950-1000}{49.5}

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Z = -1.01 has a pvalue of 0.1562

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