Given Information:

A table depicting the grade distribution for a college algebra class based on age and grade.

remolatg
2021-02-09
Answered

To calculate: The probability that the selected student received an "A" in the course.

Given Information:

A table depicting the grade distribution for a college algebra class based on age and grade.

Given Information:

A table depicting the grade distribution for a college algebra class based on age and grade.

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asked 2021-02-02

Felicia is deciding on her schedule for next semester. She must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 16 sections of English 102, 9 sections of Spanish 102, 13 sections of History 102, and 15 sections of College Algebra, how many different possible schedules are there for Felicia to choose from? Assume there are no time conflicts between the different classes.

asked 2020-11-08

To calculate: The number of days after which, 250 students are infected by flu virus in the college campus containing 5000 students. If one student returns from vacation with contagious and long- lasting flu virus and spread of flu virus is modeled by $y=\frac{5000}{1+4999{e}^{-0.8t}},t\ge 0$ .

Where, yis the total number of students infected after days.

Where, yis the total number of students infected after days.

asked 2020-11-08

Use $s=16t\xb2$

The Grand Canyon skywalk is 4000 ft above the Colorado River. How long will it take a stone to fall from the skywalk to the river?

The Grand Canyon skywalk is 4000 ft above the Colorado River. How long will it take a stone to fall from the skywalk to the river?

asked 2021-06-15

Graph f and g in the same rectangular coordinate system. Use transformations of the graph off to obtain the graph of g. Graph and give equations of all asymptotes. Use the graphs to determine each function’s domain and range.

asked 2021-02-25

The type of distribution to use for the test statistics and state the level of significance.

asked 2022-05-24

I was going through a simple proof written for the existence of supremum. When I tried to write a small example for the argument used in the proof, I got stuck. The proof is presented in Vector Calculus, Linear Algebra, And Differential Forms written by Hubbard. Here is the theorem.

Theorem: Every non-empty subset $X\subset \mathbb{R}$ that has an upper bound has a least upper bound $(supX)$.

Proof: Suppose we have $x\in X$ and $x\ge 0$. Also, suppose $\alpha $ is a given upper bound.

If $x\ne \alpha $, then there is a first $j$ such that ${j}^{th}$ digit of $x$ is smaller than the ${j}^{th}$ of $\alpha $. Consider all the numbers in $[x,a]$ that can be written using only $j$ digits after the decimal, then all zeros. Let ${b}_{j}$ bt the largest which is not an upper bound. Now, consider the set of numbers $[{b}_{j},a]$ that have only $j+1$ digits after the decimal points, then all zeros.

The proof continues until getting $b$ which is not an upper bound.

Now, let's assume that $X=\{0.5,2,2.5,\cdots ,3.23\}$ where 3.23 is the largest value in the set and $\alpha =6.2$. I select 2 as my $x$. Then, the value of $j$ is one. Hence, the set is defined as [2.1,2.2.,⋯,2.9,6.2]. In this case, ${b}_{j}$ is 2.9.

If create a new set based on ${b}_{j}$, doesn't that become [2.91,2.92.,⋯,2.99,6.2]. If so, ${b}_{j+1}=2.99$ and I'd just add extra digits behind this number. In other words, I'd never go to the next level. I am probably misinterpreting the proof statement.

Two important details after receiving some comments are as follows.

1. "By definition, the set of real numbers is the set of infinite decimals: expressions like 2.95765392045756..., preceded by a plus or a minus sign (in practice the plus sign is usually omitted). The number that you usually think of as 3 is the infinite decimal 3.0000... , ending in all zeroes."

2. "The least upper bound property of the reals is often taken as an axiom; indeed, it characterizes the real numbers, and it sits at the foundation of every theorem in calculus. However, at least with the description above of the reals, it is a theorem, not an axiom."

Theorem: Every non-empty subset $X\subset \mathbb{R}$ that has an upper bound has a least upper bound $(supX)$.

Proof: Suppose we have $x\in X$ and $x\ge 0$. Also, suppose $\alpha $ is a given upper bound.

If $x\ne \alpha $, then there is a first $j$ such that ${j}^{th}$ digit of $x$ is smaller than the ${j}^{th}$ of $\alpha $. Consider all the numbers in $[x,a]$ that can be written using only $j$ digits after the decimal, then all zeros. Let ${b}_{j}$ bt the largest which is not an upper bound. Now, consider the set of numbers $[{b}_{j},a]$ that have only $j+1$ digits after the decimal points, then all zeros.

The proof continues until getting $b$ which is not an upper bound.

Now, let's assume that $X=\{0.5,2,2.5,\cdots ,3.23\}$ where 3.23 is the largest value in the set and $\alpha =6.2$. I select 2 as my $x$. Then, the value of $j$ is one. Hence, the set is defined as [2.1,2.2.,⋯,2.9,6.2]. In this case, ${b}_{j}$ is 2.9.

If create a new set based on ${b}_{j}$, doesn't that become [2.91,2.92.,⋯,2.99,6.2]. If so, ${b}_{j+1}=2.99$ and I'd just add extra digits behind this number. In other words, I'd never go to the next level. I am probably misinterpreting the proof statement.

Two important details after receiving some comments are as follows.

1. "By definition, the set of real numbers is the set of infinite decimals: expressions like 2.95765392045756..., preceded by a plus or a minus sign (in practice the plus sign is usually omitted). The number that you usually think of as 3 is the infinite decimal 3.0000... , ending in all zeroes."

2. "The least upper bound property of the reals is often taken as an axiom; indeed, it characterizes the real numbers, and it sits at the foundation of every theorem in calculus. However, at least with the description above of the reals, it is a theorem, not an axiom."

asked 2021-09-21

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table would likely represent a function that is linear, exponential, or logarithmic. $\begin{array}{|ccccccccccc|}\hline x& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10\\ f\left(x\right)& 3.05& 4.42& 6.4& 9.28& 13.46& 19.52& 28.3& 41.04& 59.5& 86.28\\ \hline\end{array}$