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iVinArrow [24]
3 years ago
12

In a set of five consecutive integers, the smallest integer is more than $\frac23$ the largest. What is the smallest possible va

lue of the sum of the five integers?
Mathematics
2 answers:
Goryan [66]3 years ago
4 0

Answer:

 55

Step-by-step explanation:

Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...

  (x-2)/(x+2) > 2/3

  3x -6 > 2x +4 . . . . cross multiply

  x > 10 . . . . . . . . . . .add 6-2x

The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.

The smallest sum is 55.

miv72 [106K]3 years ago
4 0

Answer:

55

Step-by-step explanation:

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Answer:

60 mph

Step-by-step explanation:

Time:miles

4:240

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To get x divide 240 by 4 because that's what we divided 4 by to get 1

The rate is 60

select all times with the rate of 60 mph

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When Dylan checks their school lunch account, the
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12

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80-56=24

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Which measure of center is shown in a box plot?<br> A.mean<br> B.median<br> C.mode
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3 years ago
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A study of one thousand teens found that the number of hours they spend on social networking sites each week is normally distrib
Svetradugi [14.3K]

Given:

Sample Mean <span>= 30<span>
Sample size </span><span><span><span>= 1000</span></span><span>
</span></span></span>Population Standard deviation or <span><span><span>σ<span>=2</span></span><span>
</span></span>Confidence interval </span><span>= 95%</span>

to compute for the confidence interval

Population Mean or <span>μ<span><span>= sample mean ± (</span>z×<span>SE</span>)</span></span>

<span><span>where:</span></span>

<span><span>SE</span>→</span> Standard Error

<span><span>SE</span>=<span>σ<span>√n</span>= 30</span></span>√1000=0.9486

Critical Value of z for 95% confidence interval <span>=1.96</span>

<span>μ<span>=30±<span>(1.96×0.9486)</span></span><span>
</span></span><span>μ<span>=30±1.8594</span></span>

Upper Limit

<span>μ <span>= 30 + 1.8594 = 31.8594</span></span>

Lower Limit

<span>μ <span>= 30 − 1.8594 = <span>28.1406</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span>answer: 28.1406<u<31.8594</span></span></span>

3 0
3 years ago
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
Liula [17]

Answer:

(x-1)(x-4)

Step-by-step explanation:

I used long division with polynomials to help me find the other factor to this problem.  Divide x cubed -5x squared -6x+8 by x+2 to get x squared -5x+4.

Hope this helps!

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