Fall Semester Final 2024 4th

Front

What is scientific notation?

Back

A way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

Convert 4.27 x 10^3 to standard form.

Back

4270

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where r is the radius.

Front

If the radius of a circular garden is 63 ft, what is the minimum length of fencing needed?

Back

393 ft (C = 2πr = 2π(63) ≈ 393).

Front

What is a permutation?

Back

An arrangement of objects in a specific order.

Front

How many different ways can you arrange the letters in the word 'BOOK'?

Back

24 (The formula is n! / (n1! * n2! * ... * nk!), where n is the total number of items and n1, n2, ... are the counts of each indistinguishable item.)

Front

What is a histogram?

Back

A graphical representation of the distribution of numerical data, using bars to show frequency.

Front

If a histogram shows that 4 attendees are older than 25 years, what does this indicate?

Back

It indicates that there are 4 individuals in the data set whose ages exceed 25.

Front

What is the fundamental principle of counting?

Back

If one event can occur in m ways and a second can occur independently in n ways, then the two events can occur in m × n ways.

Front

How many different ways can you travel from Town A to Town D if there are 3 roads from A to B, 4 from B to C, and 2 from C to D?

Back

24 ways (3 × 4 × 2 = 24).