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masha68 [24]
3 years ago
11

Chris made $378 for 18 hours of work.

Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:

$147

Step-by-step explanation:

378 / 18  = 21

1 hour of work = $21

7 hours of work = $21 * 7 = $147

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(3x+1)-(x+12)

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What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
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Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3). Find the coordinates of G.
Olin [163]

Answer:

Coordinates of G = (2,0)

Step-by-step explanation:

Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).

To find: coordinates of G

Solution:

Midpoints of a side joining points (a,b),\,(c,d) are given by (\frac{a+c}{2},\frac{b+d}{2})

Diagonals of a parallelogram bisect each other.

So,

Midpoint of DF = Midpoint of EG

Midpoint of DF = (\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})

Midpoint of EG = (\frac{-3+x}{2},\frac{1+y}{2})

Let coordinates of G be (x,y)

Therefore,

(\frac{-1}{2},\frac{1}{2})  =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0

So,

Coordinates of G = (2,0)

8 0
3 years ago
According to a 2009 Reader's Digest article, people throw away approximately 90% of what they buy at the grocery store. Assume t
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Answer:

0.9495

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We are given;

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Formula to find the probability that sample proportion exceeds 0.84 is;

Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)

Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)

Z = -0.06/0.03666

Z = -1.64

From online z-score calculator attached, the probability is;

P(x>Z) = 0.9495

6 0
3 years ago
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