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s2008m [1.1K]
3 years ago
15

Gary’s contract states that he must work more than 20 hours per week write and algebraic inequality that represents the number o

f hours, h, Gary can work.
Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

h\:>\: 20

Step-by-step explanation:

Let h represent the number of hours Gary must work per week.

The contract states that Garry must work more than 20 hours.

This can be represented algebraically by the inequality;

h\:>\: 20

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2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probabili
Fed [463]

Answer:

A

The value is P( X  <  7 ) =0.26226

B

The value is P( X  <  7 ) = 0.00073

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 7.7 lbs

   The standard deviation is \sigma  = 1.1 \ lbs

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     P( X  <  7 ) =  P( \frac{X - \mu }{\sigma}  <  \frac{7 - 7.7 }{1.1 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

=>   P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    P(Z

=>   P( X  <  7 ) =0.26226

Generally the standard error of mean is mathematically represented as  

       \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>     \sigma_{x} = \frac{ 1.1  }{\sqrt{25} }

=>     \sigma_{x} = 0.22

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         P( \= X  <  7 ) =  P( \frac{\= X - \mu }{\sigma_{x}}  <  \frac{7 - 7.7 }{ 0.22 } )

=>      P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      P(Z

=>      P( X  <  7 ) = 0.00073

4 0
2 years ago
Elevii clasei a IV-a au fost la patinoar. Stiind ca numarul baietilor reprezinta jumatate plus 3 din numarul copiilor si ca numa
Shalnov [3]

Step-by-step explanation:

Fie x numărul de copii

f = 10 =\:fete

b\:=\:\frac{x}{2}\:+\:3

f\:+\:b\:=\:x

10\:+\:\frac{x}{2}\:+\:3\:=\:x

20\:+\:x\:+\:6\:=\:2x

x\:=\:26\:copii\:au\:fost\:la\:patinoar

b=\frac{26}{2}+\:3

b\:=\:16\:baieti

7 0
2 years ago
What is the solution to 4 x + 6 less-than-or-equal-to 18?
DerKrebs [107]

Answer:

Answer

4.0/5

58



amna04352

Genius

6.9K answers

39.6M people helped

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

4x < 12 (less than or equal to) x < 3 (less than or equal to)

5 0
2 years ago
In a sample of 77 children , the mean age as at which they first began to combine words was 16.51 months
astraxan [27]

Answer:

Mean age = 1271.27

Step-by-step explanation:

No of children = 77

The age at which children first began to combine words = 16.51 months

Mean age = No of children × age at which children first began to combine words

                = 77 × 16.51

                 = 1271.27

Mean age = 1271.27

7 0
3 years ago
845 ÷ 73<br><br> Divide. What is the remainder?
Leviafan [203]

Answer:

42

Step-by-step explanation:

73*11= 803

845-803= 42

4 0
2 years ago
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