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BlackZzzverrR [31]
3 years ago
10

Explain the differences between properties of equality and properties of inequality when solving equations and inequalities.

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Using the properties of equality on any equation will not change the solution set. When multiplying or dividing an inequality by a negative number you must reverse the inequality symbol or you will not get the correct solution set.

matrenka [14]3 years ago
5 0
Equalities will have the words "is" or "equals" or "the same as" in the wording. These produce a unique solution.

Inequalities have phrases like "at most" or "at least" or "no more than" in them. Solutions are a range of values, ranging between 2 values, or from a particular value to positive or negative infinity.
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Step-by-step explanation:

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2 years ago
Suppose that start-up companies in the area of biotechnology have probability 0.2 of becoming profitable, and that those in the
schepotkina [342]

Answer:

a) 0.03

b) 0.68

c) 0.32

Step-by-step explanation:

We are given the following in the question:

B: companies in the area of biotechnology

I: companies in the area of information technology

P(B) = 0.2

P(I) = 0.15

The two events are given to be independent.

a) P(both companies become profitable)

P(B\cap I) = P(B)\times P(I)\\= 0.2\times 0.15 = 0.03

0.03 is the probability that both companies become profitable

b) P(neither company becomes profitable)

P(B'\cap I')\\=P(B')\times P(I')\\=(1-P(B))(1-P(I))\\=(1-0.2)(1-0.15)\\=0.68

0.68 is the probability that neither company becomes profitable.

c) P(at least one of the two companies become profitable)

P(B\cup I) = P(B) + P(I) - P(B\cap I)\\= 0.2 + 0.15 - 0.03\\=0.32

0.32 is the probability that at least one of the two companies become profitable

4 0
3 years ago
Which algebraic property could be used to rewrite 4x + 2y as 2y + 4x? (3 points)
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Answer:

C = commutative property of Addition

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X/x+2 = 4/5. Solve for x.
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<span>X/x+2 = 4/5

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