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Anika [276]
3 years ago
8

Cassie is traveling 675 miles today to visit her brother and his family. So far, she has stopped for gas three times. At the fir

st stop, she put in 7.1 gallons of gas and paid $23.79. At her second stop, she put in 5.8 gallons of gas and paid $19.08. And, at the third stop, 6.6 gallons and paid $20.39.
If the gas station that Cassie stopped at last lowers their price 6%, what will be their new price per gallon?
Mathematics
1 answer:
lord [1]3 years ago
8 0
To know how much money per gallon for part 1), just divide the amount by the gallons, say 23.79/7.1 and check which one came out the cheapest



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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
jim ordered a sports drink and three slices of pizza for $8.50. His friend ordered two sports drink and two slices of pizza for
inna [77]

Answer:

  • drink cost: $1.75
  • slice of pizza cost: $2.25

Step-by-step explanation:

Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value ...

  d + 3p = 8.50

  2d + 2p = 8.00

Subtracting the second equation from twice the first gives ...

  2(d +3p) -(2d +2p) = 2(8.50) -(8.00)

  4p = 9.00 . . . . . simplify

  p = 2.25 . . . . . . divide by 4

Solving the first equation for d and putting in the value, we have

  d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75

  d = 1.75

The cost of a drink is $1.75; the cost of a pizza slice is $2.25.

4 0
2 years ago
Someone help me please!
Natasha_Volkova [10]

Answer:

y < -3x + 2

Step-by-step explanation:

The shading is below the line meaning the inequality is less than. Moreover, the line is dashed meaning there is no 'equal to'.

Therefore, the inequality is y < -3x + 2.

5 0
2 years ago
Identify The range of the functions shown in the graph
alexandr402 [8]
A
y \\ is \:  all \: real \: numbers
3 0
3 years ago
Read 2 more answers
Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.
devlian [24]

no they are different

if Base are equal power are added

like wise in first expressions power are added

but in second expressions cube of three is written as x to the power.

so they are not equal

3 0
3 years ago
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