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jolli1 [7]
3 years ago
10

The sum of three consecutive even numbers is one hundred sixty - two.

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

 52

Step-by-step explanation:

Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...

  x + (x+2) +(x+4) = 162

  3x = 156 . . . . . . . . . . . .subtract 6

  x = 156/3 = 52

The smallest of the three numbers is 52.

___

I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.

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Which data set has an outlier? 25, 36, 44, 51, 62, 77 3, 3, 3, 7, 9, 9, 10, 14 8, 17, 18, 20, 20, 21, 23, 26, 31, 39 63, 65, 66,
umka21 [38]

It's hard to tell where one set ends and the next starts.  I think it's

A. 25, 36, 44, 51, 62, 77

B. 3, 3, 3, 7, 9, 9, 10, 14

C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39

D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82
Let's go through them.

A. 25, 36, 44, 51, 62, 77

That looks OK, standard deviation around 20, mean around 50, points with 2 standard deviations of the mean.

B. 3, 3, 3, 7, 9, 9, 10, 14

Average around 7, sigma around 4, within 2 sigma, seems ok.

C. 8, 17, 18, 20, 20, 21, 23, 26, 31, 39

Average around 20, sigma around 8, that 39 is hanging out there past two sigma.  Let's reserve judgement and compare to the next one.


D. 63, 65, 66, 69, 71, 78, 80, 81, 82, 82

Average around 74, sigma 8, seems very tight.

I guess we conclude C has the outlier 39.  That one doesn't seem like much of an outlier to me; I was looking for a lone point hanging out at five or six sigma.  



3 0
3 years ago
Read 2 more answers
Need help with this
harina [27]

Answer:

Qu. 8 = A (50) = 25w  as 125w x 125l = Area ; this because perimeter 500ft would always be a 3:5 ratio to the larger area. Therefore perimeter is 125+125 +125 +125 and = 500ft. However we can prove if 125 is any length or width then A(50)= 1/5 = 25   Qu 9)= I think last 2 are a function. Qu 10) Answer B is correct.

Step-by-step explanation:

5 0
3 years ago
Solve for x:<br>(x-1)^3/2 = 27
Alex_Xolod [135]
(x-1)^3 / 2 = 27

For equations like this, we want to isolate x in order to get the value of it.

First, let's multiply both sides by 2 to eliminate the fraction.

(x-1)^3 = 27(2)

Now, let's take the cube root of both sides

(x-1) = ∛(27 * 2)

Now, simplify the root

x - 1 = 3∛2

Add both sides by 1

x = 1 + 3∛2

That's your answer.

Have an awesome day! :)
8 0
3 years ago
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Which graph represents the solution set of y=x^2+4x+3and y=2x+6?
rewona [7]

Answer:

(1,8) and (-3,0)

Step-by-step explanation:

We simply graph the two functions in the same graph. The solution set to the system is given by the points where the two functions intersect. For this case, the two functions intersect at;

(1,8) and (-3,0)

The solution set is thus; (1,8) and (-3,0)

Check the attachment below;

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3 years ago
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A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 140 lb and each bo
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Answer:He can bring up 13.8333333333 boxes each trip

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830÷60=13.8333333333

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