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Phoenix [80]
3 years ago
10

Evaluate each expression. Enter the correct answers in the boxes. (60−6)×(13)3+27÷3= ( 60 − 6 ) × ( 1 3 ) 3 + 27 ÷ 3 = 82÷4×(2+3

)−9= 8 2 ÷ 4 × ( 2 + 3 ) − 9 = Ʃ 789+Plus456-Minus123×Multiplied by0.,÷Divided byemptyemptyBackspace=Equals
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

2115

Explanation:

To evaluate the expression (60−6)×(13)3+27÷3 we use BODMAS

BODMAS is an acronym/rule in mathematics that dictates the order we should solve mathematical operations such as the above.

BODMAS stands for bracket first, order or of, division, multiplication, addition and then lastly subtraction

To solve the expression using BODMAS, we solve the brackets first

(60−6)×(13)3+27÷3 =54×39+27/3

Then division

=54×39+9

=2106+9

Then addition

=2106+9=2115

Answer=2115

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4 0
3 years ago
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse
Ludmilka [50]

Answer:

a

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

b

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  =  3 \  minutes =  180 \  seconds

     The sample  size is  n =  25

     The excel sheet is show on the first uploaded image

     The level of significance is  \alpha =  0.05

     The null hypothesis  is  H_o  :  \mu  = 180

      The alternative hypothesis is  H_a :  \mu  <  180

Generally the sample mean is mathematically represented as

        \= x  =  \frac{156 + 136 + \cdots  + 181}{25}

=>      \= x  = 173.2

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{\sum  (x_i - \= x )^2 }{n} }

=>    \sigma  =  \sqrt{\frac{  (156 - 173.2 )^2 + (136 - 173.2 )^2  + \cdots + (181- 173.2 )^2  }{25} }

=>    \sigma  =  24.261

Generally the test statistics is mathematically represented as

      t =  \frac{\= x  -  \mu }{\frac{\sigma}{\sqrt{n} } }

=>   t =  \frac{173.2 -  180 }{\frac{24.261}{\sqrt{25} } }

=>   z = -1.40    

Generally p-value is mathematically represented as

  p-value  =  P(Z <  z)

=>  p-value  =  P(Z < -1.40)

From the z-table  

   P(Z < -1.40) =  0.080757

=>   p-value  = 0.080757

From the obtained value we that  p-value >  \alpha

The decision rule is  fail to reject the null hypothesis

The conclusion

There no sufficient evidence to support the vendor claim  that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization

   

5 0
3 years ago
What is the volume of a cylinder of radius 4cm and length of 8cm. famula π=3.14​
jarptica [38.1K]

Answer:

401.92 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = (3.14) (4)^2 *8

V= 401.92

7 0
3 years ago
On Friday, Leslie sold 9 3/8 pitchers of lemonade from her lemonade stand. On Saturday, she sold 3 times as much lemonade as on
shtirl [24]

Answer:

28 1/8

Step-by-step explanation:

8 0
3 years ago
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marissa [1.9K]

Answer:

I only know number 5 so here it is

the solution for the left is: 2x6=12

the solution for the right is: 5x3+4x1=15+4=19

and the answers are: 1.12 . 2.19

5 0
3 years ago
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