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Salsk061 [2.6K]
3 years ago
8

Lorena and Deshawn are both collecting money for a local charity. The donation amounts that Lorena has collected are shown in th

is set: (1,1,1,2,3,5,5,5,5,5,10,15,20). The donation amounts that Deshawn has collected are shown in this set: (3,5,5,5,7,7,10,10,15,15,50) . What is the difference between the means of the sets?
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0
Hey there!

To find the mean of number sets, you will need to add up all of the numbers and divide that total sum by the amount of numbers there are. For the first set, you'll add up all of the numbers to equal 78, then divide that number by 13 to get an average of 6. For the second set, you'll add up all of the numbers to equal 132, then divide that number by 11 to get an average of 12. 

To find the difference, just subtract the smaller number, 6, from the larger number, 12, to get a difference of 6. 

Hope this helped you out! :-)
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Jasmyn is standing at the point of tangency to a wishing
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Answer:

The value of   x=17 ft.

Step-by-step explanation:

Diagram of the given scenario shown below.

Given that,

Distance from bench to Jasmyn is   PA=27ft.

Distance from bench to Willard is PB=(2x-7)ft.

From the Question,

The given wishing well is a circle and all the distance are tangent to the circle.

So, Triangle formed by these points are such as ΔPAO and ΔPBO.

Now, taking both ΔPAO and ΔPBO.

   ⇒             AO = BO                                     {Radius of circle are equal}

   ⇒             PO=PO                                     {Common side}

   ⇒          ∠PAO = ∠PBO                              {radius is always perpendicular                                                                          

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∴            ΔPAO ≅ ΔPBO                                  {By SAS congruence theorem}

Therefore,   PA=PB         ....(1)                             {corresponding part of

                                                                           congruence triangle (CPCT)}

Thus,

   ⇒                2x-7=27                                 {from equation (1)}

   ⇒                      2x=34    

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Hence, The value of   x=17 ft.

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4 years ago
How do you solve this problem using substitution and then check it?:<br><br>y= -3x-2 <br>2x+5y=16
VashaNatasha [74]
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2x+5(-3x-2)=16
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Take 10 to the other side means add from the both sides, that will get you at
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Remember you added because it was -10 if it would be a positive 10 then you have to subtract it from both of the sides but since here it was negative so you just added them up
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Step-by-step explanation:

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