Tell whether the quotient is positive or negative without dividing. 5. 12 ÷ 4

A random sample of 20 purchases showed the following amounts (in $):$

$$\begin{array}{lrrr}39.05 & 2.73 & 32.92 & 47.51 \\ 37.91 & 34.35 & 64.48 & 51.96 \\ 56.95 & 81.58 & 47.80 & 11.72 \\ 21.57 & 40.83 & 38.24 & 32.98 \\ 75.16 & 74.30 & 47.54 & 65.62\end{array}$$

$The mean was$$45.26$, and the standard deviation was $\$20.67$.

b) How large is the margin of error?

Tell whether each expression always, sometimes, or never represents a negative number. |-y|

Use the Generalized Power Rule to find the derivative of the function $f(x)=2 x\left(x^3-1\right)^4$.

A variable of a population has mean $\mu$. and standard deviation $\sigma$. For a large sample size n, answer the following questions. a. Identify the distribution of $\bar{X}$. b. Does your answer to part (a) depend on being large? Explain your answer. c. Identify the mean the standard deviation of $\bar{x}$. d. Does your answer to part (c) depend on the sample size being large? Why or why not?

Use Pascal's Triangle to expand $(x+y)^{6}$.

Use Pascal's Triangle to expand

$$(a)( z + 3 ) ^ { 4 } \text { and } ( b ) ( 2 t - 1 ) ^ { 5 }.$$

Work in a collaborative group to analyze the narrative's organizational structure and mark the text.

• Underline the passages that show what happened, who was involved, and when and where the incident took place.
• Highlight the parts that show the narrator's response to the incident.
• Bracket [ ] the passage where the narrator reflects on why this is a memorable incident for the speaker.
• Explain in the margin how this event deals with the concept of choice.

For the poll described below, what values do $\hat p, \hat q, n, E$ and $p$ represent? If the confidence level is 95%, what is the value of $\alpha$?USA Today provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14% chose chocolate pie, and the margin of error was given as $\pm$ 4 percentage points.

Simplify. Do not use negative exponents in the answer:

$$(t^{-3})^{-6}$$

Simplify. Do not use negative exponents in the answer.

$$\left(-4 x^3\right)^0$$

Solve. 3y + 4y + 6 = 20

Make the following sentences negative, using ne... pas. Je fais une randonnée. ___________________________________________

Let $\mathcal{O}$ be an open subset of $\mathbb{R}^{n}$ that contains the closed bounded set K. Show that there is a positive number $\delta$ such that if $\mathbf{J}$ is a generalized rectangle that has diameter less than $\delta$ and contains a point of K, then $\mathbf{J}$ is contained in $\mathcal{O}$.