Question 1

Construct a boxplot for the data.

Accepted Answer

The answer of Construct a boxplot for the data....

Question 2

Construct a boxplot for the data.

Accepted Answer

The answer of Construct a boxplot for the data....

Question 3

Two dice are rolled. Find the probability of rolling a sum greater than 8.

Accepted Answer

The answer of Two dice are rolled. Find the probability...

Question 4

Prove the following statement by mathematical induction: $3+7+11+\cdots+(4 n-1)=n(2 n+1)$

Accepted Answer

The answer of Prove the following statement by mathematical induction:...

Question 5

Twenty-four students participated in a basketball contest. Each student took five shots. The number of baskets scored by each student is shown below. Find the mean, median, and mode for the data.
$\begin{array}{llllll}
4 & 3 & 3 & 4 & 5 & 3 \
2 & 3 & 2 & 5 & 5 & 5 \
1 & 2 & 5 & 3 & 3 & 4 \
0 & 2 & 5 & 1 & 3 & 5
\end{array}$

Accepted Answer

Mean  =3.2

Question 6

How many different groups of officers  -  president, vice-president, treasurer, and secretary - can be formed from an organization with 35 members?

Accepted Answer

The answer of How many different groups of officers ...

Question 7

Do the following sequences converge or diverge? If they converge, state the limit.
(a) $\left\{\frac{5 n}{2 n+1}\right\}$
(b) $\left\{\frac{n^{3}+1}{2 n+1}\right\}$
(c) $\left\{\frac{3 n^{3}}{4 n^{5}+1}\right\}$

Accepted Answer

(a) Conver

Question 8

A computer randomly selects a number from 1 through 50 . Two selections are made by the computer to create an ordered pair of numbers. How many elements are in the sample space for this experiment?

Accepted Answer

A)  2,500 
B)  2,450 
C)  2,000 
D)  100 
E)  50 
A)  2,500 
B)  2,450 
C)  2,000 
D)  100 
E)  50

Question 9

Sally deposits $ \$ 100 $ at the end of each month into an account that pays $ 6 \% $ annual interest compounded monthly. After 5 years of deposits, what is the account balance?

Accepted Answer

The answer of Sally deposits $ \$ 100 $ at...

Question 10

Determine whether the infinite geometric series converges. If it does converge, what is the sum? 
$\frac{5}{3}+\frac{5}{9}+\frac{5}{27}+\ldots$

Accepted Answer

The answer of Determine whether the infinite geometric series converges....

Question 11

The third and fifth terms of an arithmetic sequence are 2 and 32, respectively. Find explicit and recursive formulas for the sequence.

Accepted Answer

Explicit:

Question 12

Find the mean, median, and variance. If necessary, round to the nearest hundredth.

Accepted Answer

Mean: 37.8

Question 13

Use the formulas $\sum_{k=1}^{n} k=\frac{n(n+1)}{2}$ and
$\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}$
of  n .  $\sum_{k=1}^{n}\left(4 k^{2}+2 k-9\right)$

Accepted Answer

The answer of Use the formulas $\sum_{k=1}^{n} k=\frac{n(n+1)}{2}$ and
\(\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2...

Question 14

The sequence  25,21,17,13, \ldots  is arithmetic.
(a) What is the common difference of the sequence?
(b) What is a recursive rule for the  nth term $(n \geq 2)$ of the sequence?

Accepted Answer

The answer of The sequence  25,21,17,13, \ldots  is...

Question 15

What is the probability of obtaining exactly four heads
in eleven tosses of a fair coin?

Accepted Answer

A) $330\left(\frac{1}{2}\right)^{11}$ 
B)  $\left(\frac{1}{2}\right)^{4}$ 
C)  $7920\left(\frac{1}{2}\right)^{11}$ 
D)  $4 !\left(\frac{1}{2}\right)^{4}$ 
E)  $11 !\left(\frac{1}{2}\right)^{11}$ 
A) $330\left(\frac{1}{2}\right)^{11}$ 
B)  $\left(\frac{1}{2}\right)^{4}$ 
C)  $7920\left(\frac{1}{2}\right)^{11}$ 
D)  $4 !\left(\frac{1}{2}\right)^{4}$ 
E)  $11 !\left(\frac{1}{2}\right)^{11}$

Question 16

Find the five-number summary and the range for the data in the stemplot below.
$\begin{array}{l|l}
\text { Stem } & \text { Leaf } \
\hline 3 & 556 \
4 & 23368 \
5 & 235567 \
6 & 3444556 \
7 & 23455677
\end{array}$

Accepted Answer

{35,47,63

Question 17

A magazine includes an insert in its January issue that asks readers to answer questions about the magazine's new cover design and layout and return the insert in the mail. Will this sample suffer any biases?

Accepted Answer

The answer of A magazine includes an insert in its...

Question 18

Is negative association the same as negative correlation?

Accepted Answer

The answer of Is negative association the same as negative...

Question 19

Find the sum of the first 12 terms of the arithmetic sequence:
 28,22,16,10, ....

Accepted Answer

The answer of Find the sum of the first 12...

Question 20

Determine the sixth partial sum of the geometric sequence $5, \frac{5}{4}, \frac{5}{16}, \ldots$

Accepted Answer

A)  $\frac{5}{4096}$ 
B)  $\frac{1}{1024}$ 
C)  $\frac{5}{1024}$ 
D)   6.48 
E)   6.67 
A)  $\frac{5}{4096}$ 
B)  $\frac{1}{1024}$ 
C)  $\frac{5}{1024}$ 
D)   6.48 
E)   6.67

Construct a boxplot for the data.

Construct a boxplot for the data.

Two dice are rolled. Find the probability of rolling a sum greater than 8.

Prove the following statement by mathematical induction: $3+7+11+\cdots+(4 n-1)=n(2 n+1)$

Twenty-four students participated in a basketball contest. Each student took five shots. The number of baskets scored by each student is shown below. Find the mean, median, and mode for the data. 4 3 3 4 5 3 2 3 2 5 5 5 1 2 5 3 3 4 0 2 5 1 3 5

How many different groups of officers - president, vice-president, treasurer, and secretary - can be formed from an organization with 35 members?

Do the following sequences converge or diverge? If they converge, state the limit. (a) $\left\{\frac{5 n}{2 n+1}\right\}$ (b) $\left\{\frac{n^{3}+1}{2 n+1}\right\}$ (c) $\left\{\frac{3 n^{3}}{4 n^{5}+1}\right\}$

A computer randomly selects a number from 1 through 50 . Two selections are made by the computer to create an ordered pair of numbers. How many elements are in the sample space for this experiment?

Sally deposits $\$ 100$ at the end of each month into an account that pays $6 \%$ annual interest compounded monthly. After 5 years of deposits, what is the account balance?

Determine whether the infinite geometric series converges. If it does converge, what is the sum? $\frac{5}{3}+\frac{5}{9}+\frac{5}{27}+\ldots$

The third and fifth terms of an arithmetic sequence are 2 and 32, respectively. Find explicit and recursive formulas for the sequence.

Find the mean, median, and variance. If necessary, round to the nearest hundredth.

Use the formulas $\sum_{k=1}^{n} k=\frac{n(n+1)}{2}$ and $\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}$ of n . $\sum_{k=1}^{n}\left(4 k^{2}+2 k-9\right)$

The sequence 25,21,17,13, \ldots is arithmetic. (a) What is the common difference of the sequence? (b) What is a recursive rule for the nth term $(n \geq 2)$ of the sequence?

What is the probability of obtaining exactly four heads in eleven tosses of a fair coin?

Find the five-number summary and the range for the data in the stemplot below. Stem Leaf 3 556 4 23368 5 235567 6 3444556 7 23455677

A magazine includes an insert in its January issue that asks readers to answer questions about the magazine's new cover design and layout and return the insert in the mail. Will this sample suffer any biases?

Is negative association the same as negative correlation?

Find the sum of the first 12 terms of the arithmetic sequence: 28,22,16,10, ....

Determine the sixth partial sum of the geometric sequence $5, \frac{5}{4}, \frac{5}{16}, \ldots$

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

An Introduction to Calculus: Limits, Derivatives, and Integrals

P Prerequisites

Mathematical Problem Set

Filters

Exam 9: Discrete Mathematics

Construct a boxplot for the data.

Construct a boxplot for the data.

Two dice are rolled. Find the probability of rolling a sum greater than 8.

Prove the following statement by mathematical induction: 3+7+11+⋯+(4n−1)=n(2n+1)3+7+11+\cdots+(4 n-1)=n(2 n+1)3+7+11+⋯+(4n−1)=n(2n+1)

Twenty-four students participated in a basketball contest. Each student took five shots. The number of baskets scored by each student is shown below. Find the mean, median, and mode for the data. 4 3 3 4 5 3 2 3 2 5 5 5 1 2 5 3 3 4 0 2 5 1 3 5

How many different groups of officers - president, vice-president, treasurer, and secretary - can be formed from an organization with 35 members?

Do the following sequences converge or diverge? If they converge, state the limit. (a) {5n2n+1}\left\{\frac{5 n}{2 n+1}\right\}{2n+15n​} (b) {n3+12n+1}\left\{\frac{n^{3}+1}{2 n+1}\right\}{2n+1n3+1​} (c) {3n34n5+1}\left\{\frac{3 n^{3}}{4 n^{5}+1}\right\}{4n5+13n3​}

A computer randomly selects a number from 1 through 50 . Two selections are made by the computer to create an ordered pair of numbers. How many elements are in the sample space for this experiment?

Sally deposits $100 \$ 100 $100 at the end of each month into an account that pays 6% 6 \% 6% annual interest compounded monthly. After 5 years of deposits, what is the account balance?

Determine whether the infinite geometric series converges. If it does converge, what is the sum? 53+59+527+…\frac{5}{3}+\frac{5}{9}+\frac{5}{27}+\ldots35​+95​+275​+…

The third and fifth terms of an arithmetic sequence are 2 and 32, respectively. Find explicit and recursive formulas for the sequence.

Find the mean, median, and variance. If necessary, round to the nearest hundredth.

Use the formulas ∑k=1nk=n(n+1)2\sum_{k=1}^{n} k=\frac{n(n+1)}{2}∑k=1n​k=2n(n+1)​ and ∑k=1nk2=n(n+1)(2n+1)6\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}∑k=1n​k2=6n(n+1)(2n+1)​ of n . ∑k=1n(4k2+2k−9)\sum_{k=1}^{n}\left(4 k^{2}+2 k-9\right)∑k=1n​(4k2+2k−9)

The sequence 25,21,17,13, \ldots is arithmetic. (a) What is the common difference of the sequence? (b) What is a recursive rule for the nth term (n≥2)(n \geq 2)(n≥2) of the sequence?

What is the probability of obtaining exactly four heads in eleven tosses of a fair coin?

Find the five-number summary and the range for the data in the stemplot below. Stem Leaf 3 556 4 23368 5 235567 6 3444556 7 23455677

A magazine includes an insert in its January issue that asks readers to answer questions about the magazine's new cover design and layout and return the insert in the mail. Will this sample suffer any biases?

Is negative association the same as negative correlation?

Find the sum of the first 12 terms of the arithmetic sequence: 28,22,16,10, ....

Determine the sixth partial sum of the geometric sequence 5,54,516,…5, \frac{5}{4}, \frac{5}{16}, \ldots5,45​,165​,…

Functions and Graphs

Polynomial, Power, and Rational Functions

Exponential, Logistic, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems and Matrices

Analytic Geometry in Two and Three Dimensions

An Introduction to Calculus: Limits, Derivatives, and Integrals

P Prerequisites

Mathematical Problem Set

Filters

Prove the following statement by mathematical induction: $3+7+11+\cdots+(4 n-1)=n(2 n+1)$

Do the following sequences converge or diverge? If they converge, state the limit. (a) $\left\{\frac{5 n}{2 n+1}\right\}$ (b) $\left\{\frac{n^{3}+1}{2 n+1}\right\}$ (c) $\left\{\frac{3 n^{3}}{4 n^{5}+1}\right\}$

Sally deposits $\$ 100$ at the end of each month into an account that pays $6 \%$ annual interest compounded monthly. After 5 years of deposits, what is the account balance?

Determine whether the infinite geometric series converges. If it does converge, what is the sum? $\frac{5}{3}+\frac{5}{9}+\frac{5}{27}+\ldots$

Use the formulas $\sum_{k=1}^{n} k=\frac{n(n+1)}{2}$ and $\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}$ of n . $\sum_{k=1}^{n}\left(4 k^{2}+2 k-9\right)$

The sequence 25,21,17,13, \ldots is arithmetic. (a) What is the common difference of the sequence? (b) What is a recursive rule for the nth term $(n \geq 2)$ of the sequence?

Determine the sixth partial sum of the geometric sequence $5, \frac{5}{4}, \frac{5}{16}, \ldots$