In college, the level of thinking your instructors expect from you exceeds that which you did in high school.

What were the twelve tables? choose all answers that are correct.

Gnoma [55]

The Twelve Tables (aka Law of the Twelve Tables) was a set of laws inscribed on 12 bronze tablets created in ancient Rome in 451 and 450 BCE. They were the beginning of a new approach to laws which were now passed by government and written down so that all citizens might be treated equally before them.Apr

4 0

1 year ago

How many different nth roots does a nonzero complex number have?

Reika [66]

The Complex nth Roots Theorem with any nonzero complex number has exactly n ∈ N distinct nth roots.

<h3>What is a non-zero complex number?</h3>

This is the quantity which does not equal zero is said to be nonzero. A real nonzero number must be either positive or negative, and a complex nonzero number can have either real or imaginary part nonzero.

The roots lie on a circle of radius centered at the origin and spaced out evenly by angles of 2π/n.

Learn more about the <em>nth root</em> here:

brainly.com/question/1581238

6 0

1 year ago

Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enroll

Andrew [12]

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed <em>95% confidence interval</em>, with 49 - 1 = <em>48 df</em>, is t = 2.0106.

Hence:

$\overline{x} - t\frac{s}{\sqrt{n}} = 12.2 - 2.0106\frac{1.6}{\sqrt{49}} = 11.7$

$\overline{x} + t\frac{s}{\sqrt{n}} = 12.2 + 2.0106\frac{1.6}{\sqrt{49}} = 12.7$

The 95% confidence interval for the number of units students in their college are enrolled in is (11.7, 12.7).

More can be learned about the t-distribution at brainly.com/question/16162795

4 0

1 year ago

The functions $f$ and $g$ are defined as follows: \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\quad\text{and}\quad g(x) = \dfrac{\sqrt{x+1}}

AlladinOne [14]

Recall that √x has a domain of x ≥ 0.

So, f(x) is defined as long as

(x + 1)/(x - 1) ≥ 0

• We have equality when x = -1

• Otherwise (x + 1)/(x - 1) is positive if both x + 1 and x - 1 are positive, or both are negative:

$\begin{cases}x+1>0 \implies x>-1 \\ x-1>0 \implies x>1\end{cases} \implies x > 1$

$\begin{cases}x+1$

Then the domain of f(x) is

x > 1 or x ≤ -1

On the other hand, g(x) is defined by two individual square root expressions with respective domains of

• x + 1 ≥ 0 ⇒ x ≥ -1

• x - 1 ≥ 0 ⇒ x ≥ 1

but note that g(1) is undefined, so we omit it from the second domain.

Then g(x) is defined so long as both x ≥ -1 *and* x > 1 are satisfied, which means its domain is

x > 1

f(x) and g(x) have different domains, so they are not the same function.

4 0

1 year ago

A board that is 12 feet long must be cut into two pieces

Ede4ka [16]

Answer:

6 feet

Explanation:

If you're asking how long each piece is it will be 6 feet.

12 divided by 2 is 6.

5 0

1 year ago