Use the multiplication table. a. Which numbers from 0 to 150 appear most frequently as entries in the multiplication table?
b. Which numbers from 0 to 150 appear least frequently as entries in the multiplication table?

Construct the indicated confidence interval for the population mean

$$\mu$$

using the t-distribution.

$$c = 0.99 , \overline { x } = 24.7 , s = 4.6 , n = 50$$

Simplify.

$$\sqrt { 80 }$$

What were the characteristics of trench warfare?

Determine the amplitude, period, and phase shift of each function. Then graph one period of the function.

$$y = - 2 \sin \left( 2 x + \frac { \pi } { 2 } \right)$$

NBP Model 760 photocopiers print a mean of 76 pages per minute (ppm) with a standard deviation of 11 ppm. NBP Model S22 can scan 50 ppm with a standard deviation of 5 ppm. A software upgrade was tested on both models. After the upgrade, a prototype photocopier makes 90 copies per minute, while a prototype scanner makes 57 scans. Use percentiles to determine on which machine the upgrade had a bigger impact on performance.

Graph each point on a coordinate plane. B(2,-1)

At

$$20 ^ { \circ } \mathrm { C }$$

(approximately room temperature) the average velocity of

$$N_2$$

molecules in air is 1050 mph. What is the average speed in m/s?

Write each quotient in the standard form a + bi. $\frac { 2 } { - 3 i }$

In gel electrophoresis, the shortest DNA fragments travel greater distances than the longest DNA fragments.

Draw a valid conclusion from the given statements, if possible. Then state whether your conclusion was drawn using the Law of Detachment or the Law of Syllogism. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning. Given: If a figure is a square, then all the sides are congruent. Figure ABCD is a square.

Rosa finds the product of 32 and 96. She rewrites 96 as a sum or difference of two numbers and uses distributive property. Which of the following could be a step in her computations? A. $32 \cdot 95 + 31$
B. $30 \cdot 98$
C. $2700 + 12$
D. $3200 - 128$

Derman explains, "Draw a line through a row of numbers in the addition table. When you move up 1 row and left 1 column, you find the same row of numbers." Describe this pattern.

How does the value in the addition table changes when moved 1 rows up and 1 column right?