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OverLord2011 [107]
2 years ago
8

8. Derek was observing the change in water levels in his fish pond. The table below show the change in water levels of the fish

pond on different dates. DATE WATER LEVEL CHANGE (inches) August 25 -0.75 September 8 3 -1- 8 September 22 2.5 1 October 6 2 October 20 7. 1 8 CLEAR ALL Based on data in the table, what was the total change, in inches, of the water level in the fish pond from August 25 to October 20? whats the answer
​

Mathematics
1 answer:
Alla [95]2 years ago
8 0

Answer:

H. 2 3/4

Step-by-step explanation:

  • DATE                         >> WATER LEVEL CHANGE (inches)
  • August 25                  >>  -0.75
  • September 8              >>  -1 3/ 8
  • September 22            >>  2.5
  • October 6                    >>  -1/2
  • October 20                 >>  1 7/8

<u>Total change:</u>

  • 1 7/8 - (-0.75) =
  • 1+ 7/8 + 3/4 =
  • 1 + 7/8 + 6/8 =
  • 1 + 13/8 =
  • 1+ 1 5/8 =
  • 2 5/8

The closest answer option is H. 2 3/4

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If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers
Contact [7]
Let the first integer be x.  Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or      x^2 - 19x - 462 = 0

Solve by completing the square:

          x^2 - 19x + 90.25 - 90.25 - 462 = 0

           (x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
                                                                                    x        = 33

The two consecutive integers are 33 and 34.

Check:  (33)(34)-20(34) = 442 (as expected).

            
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Question 6 The mineral content of a particular brand of supplement pills is normally distributed with mean 490 mg and variance o
AysviL [449]

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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This means that \mu = 490, \sigma = \sqrt{400} = 20

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This is 1 subtracted by the p-value of Z when X = 500. So

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so your answer is C.

hope this helps, God bless!
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