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nirvana33 [79]
2 years ago
11

We found that these rare cancers were​ 700% more common in children living near the toxic landfill than in the general populatio

n. Is this true or false? Why?
Mathematics
1 answer:
ryzh [129]2 years ago
7 0
True, added pollutants in the landfill will cause water contamination from runoffs into local water via water processing plants which are not able to rid the drinking water of this harmful toxic pollutants, therefore harming children via bathing, drinking, etc
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How many positive integers n satisfy the following condition: (130n)^50 > n^100 >2^200
kenny6666 [7]

Answer:

27

Step-by-step explanation:

4 0
2 years ago
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Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
  2. The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

6 0
2 years ago
A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be d
frosja888 [35]
<span>Answer:
   a manufacturing process has a 70% yield, meaning that 70% of the porducts are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable. ---
   Ans: 0.7^3 = 0.3430.</span>
8 0
3 years ago
Pls help with part a b and c
saul85 [17]

Answer:

Yeah

Step-by-step explanation:

4 0
3 years ago
Which is bigger, one-fifth of 35 or two-sixths of 24?
GREYUIT [131]

Answer:

two-sixths of 24

Step-by-step explanation:

7<8

5 0
3 years ago
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