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vlada-n [284]
3 years ago
14

Zack wants to purchase vinyl to go on his bathroom floor. The vinyl is sold by the foot in length. If the area of his bathroom i

s 100 square feet, what will one side of the square bathroom measure?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

x = 10 feet

Step-by-step explanation:

Given that,

The  area of his bathroom is 100 square feet.

We need to find the one side of the square bathroom.

Let the side be x. The area of a square is given by :

A=x^2\\\\100=x^2\\\\x=10\ \text{feet}

So, the side of the square bathroom is 10 feet.

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Answer:

A

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3 years ago
According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more th
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Answer:

(a) 0.119

(b) 0.1699

Solution:

As per the question:

Mean of the emission, \mu = 11.7 million ponds/day

Standard deviation, \sigma = 2.8 million ponds/day

Now,

(a) The probability for the water pollution to be at least 15 million pounds/day:

P(X\geq 15) = P(\frac{X - /mu}{\sigma} \geq \frac{15 - 11.7}{2.8})

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P(X\geq 15) = 1 - P(Z < 1.178)

Using the Z score table:

P(X\geq 15) = 1 - 0.881 = 0.119

The required probability is 0.119

(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:

P(6.2 < X < 9.3) = P(\frac{6.2 - 11.7}{2.8} < \frac{X - \mu}{\sigma} < \frac{9.3 - 11.7}{2.8})

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P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)

P(Z < - 0.86) - P(Z < - 1.96)

Now, using teh Z score table:

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4 0
3 years ago
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