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Sophie [7]
3 years ago
11

Distributive property of the product of 127 and 32

Mathematics
1 answer:
NISA [10]3 years ago
7 0
127(32) could be re-written as (130-3)(30+2).  To evaluate this, we'd use the distributive property of multiplication:  130(30) + 130(2) - 3(30) -3(2).

That comes out to 3900 + 260 - 90 - 6.  Combine the positive terms.  Then combine the negative terms.  Last, combine the single positive term with the single negative one:  4160 - 96 = ?
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Answer:

\textbf{$P(S \cap T) = \frac{89}{90}$ }\\

Step-by-step explanation:

\textup{Mutually events are events that cannot occur at the same time.}\\\textup{When you toss a coin you get only $head$ or only $tail$ but never both.}\\ \textup{In mathematical terms $P(A) \cup  P(B) = 0$, where $A$ and $B$ are mutually exclusive events. }\\\textup{We know the formula:}\\$$ P(A \cup B) = P(A) + P(B) - P(A \cup B) $$\\\textup{When $A$ and $B$ are mutually exclusive, it will simply be:}\\$$ P(A \cup B) = P(A) + P(B) $$\\\textup{Now given:}\\ $P(S) = 8/9$ , $P(T) = 1/10$\\

$ \implies P(S \cup T) = \frac{89}{10}$

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3 years ago
The range of f(x) = |x| is y = 0. If a < 0 and b = 0 for g(x) = a[x] + b, what is the range of function g? ​
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Step-by-step explanation:

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