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aliya0001 [1]
3 years ago
8

Simplify (5 + 1)2 - (11 + 32) + 4.

Mathematics
2 answers:
4vir4ik [10]3 years ago
5 0

Answer:

6

Step-by-step explanation:

The trick here is to know PEMDAS.

PEMDAS stands for: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

This is the order in which you should simplify a problem.

Parentheses:

   (5 + 1)^2 - (11 + 32) + 4

   (6)^2 - (43) + 4

Exponents:

   (6)^2 - (43) + 4

   36 - 34 + 4

We have no multiplication or division, so we can skip those steps.

Addition:

   36 - 34 + 4

   40 - 34

Subtraction:

   40 - 34

   6

So 6 is our answer.

AleksAgata [21]3 years ago
4 0

Answer:-27

Step-by-step explanation:

(5+1)2-(11+32)+4

(6)2-(43)+4

12-43+4

-27

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Using the z-distribution, it is found that:

  • The 95% confidence interval is of -1.38 to 1.38.
  • The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.

<h3>What is the z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm zs

In which:

  • \overline{x} is the difference between the population means.
  • s is the standard error.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The estimate and the standard error are given by:

\overline{x} = 0, s = 0.69

Hence the bounds of the interval are given by:

\overline{x} - zs = 0 - 1.96(0.69) = -1.38

\overline{x} + zs = 0 + 1.96(0.69) = 1.38

1.74 is outside the interval, hence:

  • The 95% confidence interval is of -1.38 to 1.38.
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More can be learned about the z-distribution at brainly.com/question/25890103

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