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3 years ago

Simplify: 12 + (-38) + 27

Mathematics

2 answers:

DedPeter [7]3 years ago

6 0

Answer:

12+(-38)+27= 1

Step-by-step explanation:

When a positive is multiplied by a negative, the sign becomes negative. Therefore, 12+(-38) becomes 12-38. So 12-38+27= 1.

BlackZzzverrR [31]3 years ago

5 0

Answer:

Step-by-step explanation:

For this problem, the negative sign on the 38 stays. You can remove the parentheses and addition sign and subtract 38 from 12.

12 + (-38) + 27

12 - 38 + 27

-26 + 27

If the problem was (12 - (-38), than the negatives would cancel out and form (12 + 38).

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a) 80% probability that x lies between 7 and 27.

b) 28% probability that x lies between 6 and 13.

c) 44% probability that x lies between 9 and 20.

d) 28% probability that x lies between 11 and 18.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value x between c and d, in which d is larger than c, is given by the following formula.

$P(c \leq x \leq d) = \frac{d - c}{b - a}$

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(a) Find the probability that x lies between 7 and 27.

So $c = 7, d = 27$

$P(7 \leq x \leq 27) = \frac{27 - 7}{29 - 4} = 0.8$

80% probability that x lies between 7 and 27.

(b) Find the probability that x lies between 6 and 13. 

So $c = 6, d = 13$

$P(6 \leq x \leq 13) = \frac{13 - 6}{29 - 4} = 0.28$

28% probability that x lies between 6 and 13.

(c) Find the probability that x lies between 9 and 20.

So $c = 9, d = 20$

$P(9 \leq x \leq 20) = \frac{20 - 9}{29 - 4} = 0.44$

44% probability that x lies between 9 and 20.

(d) Find the probability that x lies between 11 and 18.

So $c = 11, d = 18$

$P(11 \leq x \leq 18) = \frac{18 - 11}{29 - 4} = 0.28$

28% probability that x lies between 11 and 18.

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