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Fittoniya [83]
3 years ago
14

Carmin is trying to find the equation of a line that passes through the points (-1,16) and (5,88) . Does the equation y=12x+28 w

ork
Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

Yes! The equation, y = 12x + 28 , work.

Step-by-step explanation:

The line passes through points (-1, 16) and (5, 88)

The slope of the line = change in y ÷ change in x

i.e slope = \frac{88 - 16}{5 - -1} = 12

Taking another point (x ,y) on the line;

Slope is \frac{y - 16}{x - -1} = 12

y - 16 = 12x + 12

y = 12x + 12 + 16

y = 12x + 28

So the equation, y = 12x + 28, work!

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26 divided by 3 I’m horrible at matj
antiseptic1488 [7]
8.66666667 that’s your answer
5 0
3 years ago
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Alex flips a fair coin four times. What is the probability that he flips heads four times in a row?
sdas [7]

1/16

the probability of flipping head on the first flip is 1/2

the probability of flipping head on the second flip is 1/2 of that, or 1/4

the probability of flipping head on the third flip is 1/2 of that, or 1/8

the probability of flipping head on the fourth flip is 1/2 of that, or 1/16

4 0
3 years ago
Find the surface area of the prism.<br> 2 cm<br> 6 cm<br> 6 cm<br> 2 cm<br> 3 cm<br> 3 cm<br> 3 cm
Margarita [4]

Answer:Q3. 67.24 sq. ft.

Q4. 22582.88 sq. cm.

Q6. 115 sq. cm.

Q10. 240 sq. in.

Step-by-step explanation:

8 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
Y=3×+7 y=×-9 what is the solution of the equation
Aneli [31]

Since both equations are equal to y you can just make them equal to each other, like this 3x + 7 = x - 9. From there isolate the varible x on one side so that the solution will be on the other side of the equation. I'll do the steps too for you.

3x + 7 = x - 9

2x + 7 = -9

2x = -16

x = -8

Hope this helps :)

7 0
3 years ago
Read 2 more answers
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