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Vanyuwa [196]
3 years ago
11

A group of college students is volunteering for Homes for the Community during their springbreak.They are putting the finishing

touches on a house they built.Working alone, Wade can paint a certain room in 3 hours. Rhonda can paint the same room in 7 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth.
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0
Okay, so the rate is 1 job / hours, so:
1/3 + 1/7 (This covers both their work rates) = 1/n (n represents the time it take for them to work together)
Get the LCD:
7/21+ 3/21 = 1/n
10/21 = 1/n
Cross multiply:
10n = 21
n = 2.1 
It will take them 2.1 hours, or 2 hours and 6 minutes
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lisov135 [29]

Answer:

\sqrt{106}

Step-by-step explanation:

Given <u>v</u> = < - 5, 9 > then the magnitude is

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Step-by-step explanation:

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Law Incorporation [45]

Answer:

a. 0.689

b. 0.8

c. 0.427

Step-by-step explanation:

The given scenario indicates hyper-geometric experiment because because successive trials are dependent and probability of success changes on each trial.

The probability mass function for hyper-geometric distribution is

P(X=x)=kCx(N-k)C(n-x)/NCn

where N=4+3+3=10

n=2

k=4

a.

P(X>0)=1-P(X=0)

The probability mass function for hyper-geometric distribution is

P(X=x)=kCx(N-k)C(n-x)/NCn

P(X=0)=4C0(6C2)/10C2=15/45=0.311

P(X>0)=1-P(X=0)=1-0.311=0.689

P(X>0)=0.689

b.

The mean of hyper-geometric distribution is

μx=nk/N

μx=2*4/10=8/10=0.8

c.

The variance of hyper-geometric distribution is

σx²=nk(N-k).(N-n)/N²(N-1)

σx²=2*4(10-4).(10-2)/10²*9

σx²=8*6*8/900=384/900=0.427

6 0
3 years ago
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