The standard deviation is the most useful measure of variation in a set of data because it tells us a. the difference between the highest and lowest scores in the set. b. the extent to which the sample being used deviates from the bigger population it represents. c. how much individual scores differ from the mode. d. how much individual scores differ from the mean.

The Washington Monument is an obelisk with a square pyramid top. The slant height of the pyramid is 55.5 feet, and the square base has sides of 34.5 feet. Find the lateral area of the pyramid.

Solve the above problem by including frictional head losses in the hose of $1.5\ \mathrm{ft}$ for every $20\ \mathrm{ft}$ of hose. The hose has a total length of $130\ \mathrm{ft}$.

In "Losses," what does line "When we lasted long enough they gave us medals" imply regarding the value of the medals? What is the poet saying regarding honor and valor in war?

During the 1992 football season, the Los Angeles Rams (now the St. Louis Rams) has a bizarre streak of coin-toss losses. In fact, they lost the call 11 weeks in a row. a. The Rams' computer system manager said that the odds against losing 11 straight tosses are 2047 to 1. Is he correct? b. After these results were published, the Rams lost the call for the next two games, for a total of 13 straight losses. What is the probability of this happening if, in fact, the coin was fair?

For a sample of data where n = 8 given below:

$$\begin{array}{cccccc} 14 & 6 & 3 & 10 & 1 & 8 & 4 & 7\\ \end{array}$$

a. Calculate the mean, median, and mode.

b. Calculate the range, variance, standard deviation, and coefficient of variation.

c. Calculate the Z score. Find the outliers, if any.

d. Describe the shape for the given set of data.

For this item, find the lateral area and surface area of the right triangular prism.

Given: height of the triangle = 3cm, hypotenuse of the right triangle = 5 cm and the length of the triangular prism = 10 cm

The table below shows the records of the Apollo High School baseball team from 1980 through 1989.

a On the same set of axes, draw frequency polygons to represent the number of wins per year and the number of losses per year.

b Find the average number of wins per year.

c In what year did the team win the greatest percentage of the games played?

d By how much does the team's average number of wins per year exceed their average number of losses per year?

A friend speeds by you in her spacecraft at a speed of $0.720 \mathrm{c}$. It is measured in your frame to be $4.80 \mathrm{~m}$ long and $1.35 \mathrm{~m}$ high. How many seconds elapsed on your friend's watch when $20.0$ s passed on yours?

A driver hangs a small ornament by a string from his rear-view mirror. Describe the precise motion of the ornament as the driver speeds up, slows down, drives at constant velocity, and takes a turn. Use the term inertial reference frame where appropriate.

Determine each solid's lateral and surface areas. If necessary, round to the nearest tenth. a right-angled triangular prism with legs of 9 inches and 12 inches and a height of 6 inches.

Columbia Company began operations in 2019 and by year-end (December 31) had made six bond investments. Year-end information on these bond investmentS follows.

What total amount of unrealized holding gains or unrealized holding losses related to bond investments will appear in the stockholders' equity section of the December 31, 2019, balance sheet?

The volumes of two similar cones are 8π and 27π. What is the ratio of the lateral areas of the cones? A. 8/27 B. 1/3 C. 4/9 D. 2/3

A 2.0-kg rock that is initially at rest loses 407 J of potential energy while falling to the ground. Calculate the kinetic energy that the rock gains while falling. What is the rock’s speed just before it strikes the ground?