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lutik1710 [3]
2 years ago
9

An auto parts manufacturer throws out gaskets with weights that are not within 0.06 pound of the mean weight of the batch. The w

eights (in pounds) of the gaskets in a batch are 0.58, 0.63, 0.65, 0.53, and 0.61. Which gasket(s) should be thrown out?
Mathematics
1 answer:
elixir [45]2 years ago
3 0

Answer:

0.53 will not chosen

Step-by-step explanation:

Given weights:

0.58, 0.63, 0.65, 0.53, and 0.61.

Computation:

Mean weight X = [0.58+0.63+0.65+0.53+0.61] / 5

Mean weight X = [3] / 5

Mean weight X = 0.60

Acceptable weight = l x-X l < 0.06

l x-0.60 l < 0.06

So solving inequality

0.54 < x < 0.66

So, 0.53 will not chosen.

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
zvonat [6]

Answer:

x=-2.38

x=-4.62


Step-by-step explanation:

The question is  (2x+3)^2+8(2x+3)+11=0

<em>We let u=2x+3, so the equation becomes:</em>

u^2+8u+11=0

Where a=1, b=8, c=11


Putting it in the quadratic formula, we have:

<u>Quadratic formula:</u> \frac{-b+-\sqrt{b^2-4ac} }{2a}

Substituting we have: \frac{-8+-\sqrt{(8)^2-4(1)(11)} }{2(1)}\\=\frac{-8+-\sqrt{20} }{2}\\=\frac{-8+-2\sqrt{5} }{2}\\=-4+\sqrt{5}, -4-\sqrt{5} }


<em>We let u=2x+3, so x is:</em>

<em>u=2x+3\\(-4+\sqrt{5})=2x+3\\x=\frac{-7+\sqrt{5}}{2}=-2.38</em>

<em>and</em>

<em>u=2x+3\\(-4-\sqrt{5})=2x+3\\x=\frac{-7-\sqrt{5}}{2}=-4.62</em>


The solutions of the equation is x=-2.38 (rounded to 2 decimal places), and x=-4.62 (rounded to 2 decimal places)

6 0
2 years ago
True or​ false: when comparing two​ populations, the larger the standard​ deviation, the more dispersion the distribution​ has,
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7 0
2 years ago
Expressed as a percentage, how many more avocados does the city of
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Answer:

In Phoenix they consume 60% more avocados than in Denver.

Step-by-step explanation:

Given that in Denver they consume 75 units of avocados, while in Phoenix they consume 120 units of said fruit, to determine the percentage difference between the consumption of both cities it is necessary to perform the following calculation:

75 = 100

120 = X

((120 x 100) / 75) = X

(12,000 / 75) = X

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Therefore, in Phoenix they consume 60% more avocados than in Denver.

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Thus, the angle measure 144°. 
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Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10. If both the cube and card h
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