3 years ago

50 meters to 20 meters Increase or decrease?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

3 0

Answer:

Decrease

Step-by-step explanation:

50 is bigger than 20, so it's decreasing and the units are the same.

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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:

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

$P(X\geq 15) = P(Z \geq 1.178)$

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

Using the Z score table:

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

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

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

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

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