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Scorpion4ik [409]
2 years ago
9

In 2005, 11.6 out of every 50 employees at a company were women. If there are 40,505 total company employees, estimate the numbe

r of
women.
The number of women at the company is
Mathematics
1 answer:
ser-zykov [4K]2 years ago
3 0

9514 1404 393

Answer:

  9397

Step-by-step explanation:

The expected number of women is ...

  (11.6/50)×40,505 = 9397.16 ≈ 9397

The number of women at the company is about 9397.

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What is the answer when you evaluate n + m -2(m-m) when m = 3 and n = 2?
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5

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2 years ago
Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
Reil [10]
The minimum distance will be along a perpendicular line to the river that passes through the point (7,5)

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y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

-1/4=b so the perpendicular line is:

y=3x/4-1/4

So now we want to know the point where this perpendicular line meets with the river bank.  When it does y=y so we can say:

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x=2.04

y=(3x-1)/4

y=(3*2.04-1)/4

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So now that we know the point on the river that is closest to Avery we can calculate his distance from that point...

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(7-2.04)^2+(5-1.28)^2

d^2=38.44

d=√38.44

d=6.2 units

Since he can run at 10 uph...

t=d/v

t=6.2/10

t=0.62 hours  (37 min 12 sec)

So it will take him 0.62 hours or 37 minutes and 12 seconds for him to reach the river.




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