Solve for each System of Equation
2 answers:
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Answer:
1st option
Step-by-step explanation:
Here we are trying to prove that not all fractions are less than 1. So we have to choose an example in which the fraction is more than 1.
1)
This fraction is greater than 1 hence it can prove that the conjecture is false.
2) ½ is lesser than 1 and will not prove that the conjecture is false.
Answer:
(a) 0.119
(b) 0.1699
Solution:
As per the question:
Mean of the emission, million ponds/day
Standard deviation, million ponds/day
Now,
(a) The probability for the water pollution to be at least 15 million pounds/day:
= 1 - P(Z < 1.178)
Using the Z score table:
= 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(Z < - 0.86) - P(Z < - 1.96)
Now, using teh Z score table:
0.1949 - 0.025 = 0.1699