Mathematics: (25 points) The range of is All Real Numbers. TRUE or FALSE, and why?

(25 points) The range of is All Real Numbers. TRUE

lazavionadams81

30.01.2022

True

Step-by-step explanation:

Real Numbers are just numbers like:

112.38−0.8625 34 π (pi)198

In fact:

Nearly any number you can think of is a Real Number

Real Numbers include:

yes Whole Numbers (like 0, 1, 2, 3, 4, etc)

yes Rational Numbers (like 3/4, 0.125, 0.333..., 1.1, etc )

yes Irrational Numbers (like π, √2, etc )

Real Numbers can also be positive, negative or zero.

So ... what is NOT a Real Number?

not Imaginary Numbers like √−1 (the square root of minus 1)

are not Real Numbers

not Infinity is not a Real Number

Mathematicians also play with some special numbers that aren't Real Numbers.

Real numbers can be represented on a number line.

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aubford9442

03.07.2022

98% Confidence interval: (0.5483,0.6891)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 257

Number of adults total body length was 28 feet or longer, x = 159

$\hat{p} = \dfrac{x}{n} = \dfrac{159}{257} = 0.6187$

98% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.02} = 2.326$

Putting the values, we get:

$0.6187\pm 2.326(\sqrt{\dfrac{0.6187(1-0.6187)}{257}})\\\\ = 0.6187\pm 0.0704\\\\=(0.5483,0.6891)$

is the required 98% confidence interval.

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