A direct-mail company assembles and stores paper products (envelopes, letters, brochures, order cards, etc.) for its customers. The company estimates the total number of pieces received in a shipment by calculating the weight per piece and then weighing the entire shipment. The company is unsure whether the sample of pieces used to estimate the mean weight per piece should be drawn from a single carton or whether it is worth the extra time required to pull a few pieces from several cartons. To aid management in making a decision, eight brochures were removed from each of the five cartons of a typical shipment and weighed. The weights (in pounds) are displayed in the table.

Carton 1	Carton 2	Carton 3	Carton 4	Carton 5
$.01851$	$.01872$	$.01869$	$.01899$	$.01882$
$.01829$	$.01861$	$.01853$	$.01917$	$.01895$
$.01844$	$.01876$	$.01876$	$.01852$	$.01884$
$.01859$	$.01886$	$.01880$	$.01904$	$.01835$
$.01854$	$.01896$	$.01880$	$.01923$	$.01889$
$.01853$	$.01879$	$.01882$	$.01905$	$.01876$
$.01844$	$.01879$	$.01862$	$.01924$	$.01891$
$.01833$	$.01879$	$.01860$	$.01893$	$.01879$

c. What deductions must be satisfied for the test of the part $\mathbf{b}$ to be valid?

Phonograph records are vinyl discs that rotate on a turntable. A typical record album is 12 inches in diameter and plays at 33 1/3 revolutions per minute. What is the linear speed of the outer edge of a record album?

Write in the blank the form of the verb in parentheses that agrees with the subject.

Careful plans _____ to fun trips. (lead)

A punch recipe that serves $24$ people calls for $4$ liters of lemon-lime soda, $2$ pints of sherbet, and $6$ cups of ice. a. Complete a ratio table to represent this situation. b. How much of each ingredient would you need to make an identical recipe that serves $12$ people? $36$ people? c. How much of each ingredient would you need to make an identical recipe that serves $18$ people? Explain your reasoning .

Given sentence below refers to a numbered sentence in the passage. Write the letter of the choice that gives the sentence a meaning that is closest to the original sentence. ___________ Of course, crocodiles are not ____________ .
a. tame
b. fearless
c. forceful
d. quiet

Copper has two isotopes, copper-63 and copper-65. It has an atomic mass of 63.546 amu. Sketch a pie graph that shows the approximate abundance of each copper isotope based on the atomic mass.

Simplify the expression. Write your answer as a power. $\frac{d^{5}}{d} \cdot \frac{d^{9}}{d^{8}}$

Determine if each trial can be considered an independent Bernoulli trial for the following situations.

(a) Cards dealt in a hand of poker.

(b) Outcome of each roll of a die.

Form a polynomial function f(x) with real coefficients having the given degree and zeros. Answers will vary depending on the choice of the leading coefficient. Use a graphing utility to graph the function and verify the result. Degree 5; zeros: 2; -i; 1 + i.

Determine any asymptotes and intercepts. than graph the function and state its domain. $f(x)=\frac{2 x-6}{x 5}$

Perform the indicated operation. Let f(d) = 0.7d - 2 and g(d) = 0.1d + 3. Find

$$f ( d ) \cdot g ( d )$$

.

If a saturated solution of sodium nitrate is cooled, what change might you observe?

Show how, guided by Kepler's law of periods, Newton could deduce that the force holding the Moon in its orbit, assumed circular, depends on the inverse square of the Moon's distance from the center of Earth.

Use Stokes' Theorem to evaluate $\iint_S \operatorname{curl} \mathbf{F} \cdot d \mathbf{S}$.

$\mathbf{F}(x, y, z)=x^2 y^3 z \mathbf{i}+\sin (x y z) \mathbf{j}+x y z \mathbf{k}$, $S$ is the part of the cone $y^2=x^2+z^2$ that lies between the planes $y=0$ and $y=3$, oriented in the direction of the positive $y$-axis