B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of length 4. The number of binary code words, B(n), of length n, is shown above. If the length is increased from n to n+1, how many more binary code words will there be? The answer is 2^n, but I don't get how they got that answer. I would think 2^n+1 minus 2^n would be 2. Please help me! Thank you!
Answer:
The additional words is [tex]2^n[/tex]
Explanation:
Given
[tex]B(n) = 2^n[/tex]
Required
Determine the additional words; i.e. [tex]B(n + 1) - B(n)[/tex]
From the given parameters, we have that;
B is a function of n
Such that;
[tex]B(n) = 2^n[/tex]
To calculate [tex]B(n+1)[/tex], we simply substitute n + 1 for n
[tex]B(n) = 2^n[/tex]
[tex]B(n + 1) = 2^{n + 1}[/tex]
Applying laws of indices
[tex]B(n + 1) = 2^{n} * 2^1[/tex]
[tex]B(n + 1) = 2^{n} * 2[/tex]
[tex]B(n + 1) = 2(2^{n})[/tex]
Calculating Additional Binary Code;
[tex]B(n + 1) - B(n)[/tex]
Substitute values for B(n + 1) and B(n)
[tex]B(n + 1) - B(n) = 2(2^n) - 2^n[/tex]
Express [tex]2^n[/tex] as [tex]2^ n * 1[/tex]
[tex]B(n + 1) - B(n) = 2(2^n) - 2^n * 1[/tex]
Express 1 as [tex]2^0[/tex]
[tex]B(n + 1) - B(n) = 2(2^n) - 2^n * 2^0[/tex]
Factorize
[tex]B(n + 1) - B(n) = 2^n(2 - 2^0)[/tex]
[tex]B(n + 1) - B(n) = 2^n(2 - 1)[/tex]
[tex]B(n + 1) - B(n) = 2^n(1)[/tex]
[tex]B(n + 1) - B(n) = 2^n[/tex]
Hence, the additional words is [tex]2^n[/tex]
A city of Punjab has a 15 percent chance of wet weather on any given day. What is the probability that it will take a week for it three wet weather on 3 separate days? Also find its Standard Deviation
Answer:
The probability that it will take a week for it three wet weather on 3 separate days is 0.06166 and its standard deviation is 0.9447
Explanation:
Probability of wet weather = 0.15
Probability of not being a wet weather = 1-0.15
We are supposed to find probability that it will take a week for it three wet weather on 3 separate days
Total number of days in a week = 7
We will use binomial over here
n = 7
p =probability of failure = 0.15
q = probability of success=1-0.15
r=3
Formula :[tex]P(r=3)=^nC_r p^r q ^{n-r}[/tex]
[tex]P(r=3)=^{7}C_{3} (0.15)^3 (1-0.15)^{7-3}\\P(r=3)=\frac{7!}{3!(7-3)!} (0.15)^3 (1-0.15)^{7-3}\\P(r=3)=0.06166[/tex]
Standard deviation =[tex]\sqrt{n \times p \times q}[/tex]
Standard deviation =[tex]\sqrt{7 \times 0.15 \times (1-0.15)}[/tex]
Standard deviation =0.9447
Hence The probability that it will take a week for it three wet weather on 3 separate days is 0.06166 and its standard deviation is 0.9447
A health food manufacturer makes two types of protein shakes, Whey and Vegan. Each mixture contains vitamins, protein, and carbohydrates, in the following proportions: Carbohydrates (g) Protein (g) Vitamin (g) Whey 100 400 300 Vegan 200 300 100 Minimum dietary requirements are that a protein shake contain at least 0.9kg of vitamins, 2.2kg of protein, and 0.8kg of carbohydrate. Whey costs N$20 per kilogram to produce, and Vegan costs $12.50 per kilogram to produce. Find the number of kilograms of each protein shake that should be produced to minimize cost
Your academic calendar has been distracted by the global pandemic, such that, you are to teach your class from the house. Outline specific hardware and software and the various teaching and learning tools you will deploy to enable you continue to teach your pupils from home. Discuss four (4) ways you will use to reach all pupils who are living at a
The correct answer to this open question is the following.
During this pandemic moments that students have to stay at home and taking classes, I would use the proper hardware to teach good video classes. Of course, a good computer or lap tot with modern hardware capacities such as "intel Pentium" or higher. A good and high-speed internet connection will help me to efficiently use all the tools and educational apps such as the one needed to teach video class. These are google meet and zoom.
I will use the following tools to reach all pupils. First, the classroom of Google to have all the homework information on one site. I would use Google Drive to store all the information and evidence of the semester. Another good tool is Canva, for the students to elaborate all their infographics needed to do homework. For better school presentations I would also use "gneally," a good presentation system that has room for a lot of animation.
Which of the following is an example of a parameter? 9047 out of 531,310 citizens voted in the special election for city council. Half of the receipts at the coffee shop include web address for giving feedback. 3.5% of the restaurant goers are given a survey to fill out. All of the members of the community watch group gave their availability to volunteer over the summer.
Answer:
All of the members of the community watch group gave their availability to volunteer over the summer.
Explanation:
In Statistics, a parameter can be defined as a fixed quantity which summarizes the characteristic of an entire population. Generally, a parameter gives a detailed description of a given population.
In this scenario, all of the members of the community watch group making known their availability to volunteer over the summer is an example of a parameter.
Another example of a parameter is, asking all tutors on brainly website what subject they love tutoring most and half of them said Mathematics; 50% of the total tutors loves Mathematics---this is a parameter.
Answer:
All of the members of the community watch group gave their availability to volunteer over the summer.
Explanation:
Got it right on the test.
Which of the following statements is NOT true about a thesis statement?
The thesis statement is not as important as the introduction and the conclusion of your paper.
The thesis statement is the main argument you are making in your paper.
The thesis statement is the most important part of your paper.
The thesis statement sets up what evidence you include in your paper.
Answer:
The thesis statement is the main argument you are making in your paper. It is the most important part of your paper. And it sets up what evidence you include in your paper.
I hope you understood well !!
The statement that is not true about a thesis statement is the main argument you are making in your paper. The correct option is b.
What is a thesis?The sentence that represents a writing assignment's main claim and helps to organize the thoughts in the document is referred to as the thesis statement. A thesis is an assertion that has been argued, proven, or otherwise supported at the outset of an argumentative document. It typically states a scientific principle, a thesis, or a verifiable fact.
A thesis is the concrete statement of an idea that is disclosed in an open and supported manner. It is derived from the scientific process. It can also be referred to as scientific theory because a theoretical foundation can be regarded as a component of the body of knowledge. In an argumentative text, the writer usually conforms to their viewpoint on the issue they are discussing. Afterward, the author
Therefore, the correct option is b. The thesis statement is the main argument you are making in your paper.
To learn more about the thesis, refer to the link:
https://brainly.com/question/939756
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Lisa’s doctor tells her that she needs to eat more foods that contain calcium to maintain her bone health. What could happen if Lisa doesn’t follow her doctor’s orders
Answer:
b
Explanation:
yea
Ebooks are a lifesaver for bibliophiles, finally allowing them to enjoy their love of books without crowding every space in their homes. What does the word "bibliophile" mean in this context?
Answer:
Bibliophile = lover of books, someone with a great love of books.
Explanation:
the word bibliophile comes from Greek biblion ‘book’ + philos ‘loving’.
Based on the context of this passage, the best meaning of bibliophiles is people who love and collect books. Therefore option C is the correct resposne.
What are bibliophiles?The love of books is known as bibliophilia or bibliophilism. A person who adores books and reads them frequently is known as a bibliophile or bookworm.
Most bibliophiles own books they adore or hold dear, as well as vintage copies with distinctive bindings, autographed copies, and copies with illustrations. The term "bibliophile" is applicable to describe a small percentage of book collectors.
Contrary to bibliomania, which is a potential symptom of obsessive-compulsive disorder and involves obsessively collecting books to the point where it may harm one's relationships with others or one's health, bibliophilia does not require that an object be a book to be collected or cherished.
To read more about bibliophiles, refer to - brainly.com/question/3064082
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A city of Punjab has a 15 percent chance of wet weather on any given day. What is the probability that it will take a week for it three wet weather on 3 separate days? Also find its Standard Deviation
Answer:
0.06166
sd = 0.9447
Explanation:
probability of having a wet day on any given day at 15 percent = 0.15 is as follows
Lets define X as the number of days that it is going to rain.
we have x binomial (7, 0.15)
probability(x = 3) = (7 3)p³(1-p)⁴
we have 7!/3!4!(0.15)³(0.85)⁴
= (210/6)*0.003375*0.522
= 35*0.003375*0.522
= 0.06166 approximately 0.0617
b standard deviation = [tex]\sqrt{np(1-p)}[/tex]
= [tex]\sqrt{7*0.15(0.85)}[/tex]
= [tex]\sqrt{0.8925}[/tex]
= [tex]0.9447[/tex]
The official record of a high school student’s performance is called:
Answer:
A High School Transcript
