In the fruit fly, brown eyes are determnined by a recessive gene a, whereas red eyes are determined by a dominant gene A. Suppose that a pure red- eyed fruit fly is crossed with a brown-eyed fruit fly, and the first generation
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Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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- In the current pandemic, researchers are working on creating antibody tests to determine which individuals have already had an infection caused by the COVID-19 virus. If someone has been infected, then they will have certain antibodies in their system and the hope is that a highly accurate test can be created to detect these antibodies. Assume a researcher creates a new antibody test, which for individuals who are known to have had the infection in the past and thus truly have the COVID-19 antibodies, gives a positive result 95% of the time. This same test gives a negative result 90% of time for people who do not have the antibodies. Assume that COVID-19 has affected 5% of the population in the region of interest. What is the probability someone has NOT been infected previously given that their antibody test result comes back positive? [four decimals]In a study of the domestic market share of the three major automobile manufacturers A, B, and C in a certain country, it was found that their current market shares were 65%, 10%, and 25%, respectively. Furthermore, it was found that of the customers who bought a car manufactured by A, 75% would again buy a car manufactured by A, 15% would buy a car manufactured by B, and 10% would buy a car manufactured by C. Of the customers who bought a car manufactured by B, 90% would again buy a car manufactured by B, whereas 5% each would buy cars manufactured by A and C. Finally, of the customers who bought a car manufactured by C, 85% would again buy a car manufactured by C, 5% would buy a car manufactured by A, and 10% would buy a car manufactured by B. Assuming that these sentiments reflect the buying habits of customers in the future, determine the market share that will be held by each manufacturer after the next two model years. (Round your answers to the nearest percent.)2. If an individual with the genotype Yy Ww Pp ee Bb is crossed with another individual with the same genotype, what proportion of offspring will be homozygous recessive at all genes? Answers: 1/1024 5/128 1/256 3/16 1/16 3. If an individual with genotype Yy Ww Pp ee Bb is crossed with an individual with the same genotype, what proportion of offspring will have the dominant phenotype for the four heterozygous loci? answers: 81/256 81/128 27/256 3/16
- The coat color of black bears depends on a gene with two alleles. Allele B is dominant and confers black coat, whereas allele b is recessive and homozygous bears have white coats (albino black bears, I know it sounds weird but it is true). As we know from genetics each bear has two alleles and the coat colors are as follows: BB-black; Bb-black; bb-white. A researcher obtained the following data for the genotypes (BB, Bb or bb) of black bears: Genotype Number of bears BB 42 Bb 24 bb 21 You are performing the following hypothesis test: H0: The genotypes of the bears follow a binomial distribution, with a probability of receiving the b allele equal to the observed proportion of the b allele in the population. HA: The genotypes of the bears do not follow a binomial distribution Q1 What is the fraction of b alleles in the population? Remember each bear has two alleles! Q2 What is the expected frequency of bears with genotype BB, Bb, and bb? Give the absolute expected…The coat color of black bears depends on a gene with two alleles. Allele B is dominant and confers black coat, whereas allele b is recessive and homozygous bears have white coats (albino black bears, I know it sounds weird but it is true). As we know from genetics each bear has two alleles and the coat colors are as follows: BB-black; Bb-black; bb-white. A researcher obtained the following data for the genotypes (BB, Bb or bb) of black bears: Genotype Number of bears BB 42 Bb 24 bb 21 You are performing the following hypothesis test: H0: The genotypes of the bears follow a binomial distribution, with a probability of receiving the b allele equal to the observed proportion of the b allele in the population. HA: The genotypes of the bears do not follow a binomial distribution What is the expected frequency of bears with genotype BB, Bb, and bb? Give the absolute expected frequency (number of bears) not the fraction/proportion of BB bearsIn a study of the domestic market share of the three major automobile manufacturers A, B, and C in a certain country, it was found that their current market shares were 45%, 20%, and 35%, respectively. Furthermore, it was found that of the customers who bought a car manufactured by A, 75% would again buy a car manufactured by A, 15% would buy a car manufactured by B, and 10% would buy a car manufactured by C. Of the customers who bought a car manufactured by B, 90% would again buy a car manufactured by B, whereas 5% each would buy cars manufactured by A and C. Finally, of the customers who bought a car manufactured by C, 85% would again buy a car manufactured by C, 5% would buy a car manufactured by A, and 10% would buy a car manufactured by B. Assuming that these sentiments reflect the buying habits of customers in the future, determine the market share that will be held by each manufacturer after the next two model years. (Round your answers to the nearest percent.) A % B…
- A political strategist claims that 58% of voters in Madison County support his candidate. In a poll of 500 randomly selected voters, 260 of them support the strategist's candidate. At alpha = .05, is the political strategist's claim warranted?The public health authorities of a small town have divided the population into three categories: covid-negative, covid-positive, and hospitalised. After performing regular, extensive tests, they have observed that in each successive week: Among those who are negative, 95% remain so, 4% become positive, and 1% need to be hospitalised. Among those who are positive, 75% recover and become negative, 20% stay positive, and 5% need to be hospitalised. Among those who are hospitalised, 60% recover and become negative, 30% are released from hospital but remain positive, and 10% remain hospitalised. (a) After representing the population in a given week as a column vector v=[n;p;h], where n,p, and h represent the number of people in the population who are negative, positive, and hospitalised respectively, write down a matrix M for which[n′,p′,h′]=M[n;p;h], where[n′,p′,h′] represents the column vector of negative, positive, and hospitalised members of the population in the following…Mendelian Genetics Experiments are conducted with hybrids of two types of peas. If the offspring follow Mendel’s theory of inheritance, the seeds that are produced are yellow smooth, green smooth, yellow wrinkled, and green wrinkled, and they should occur in the ratio of 9:3:3:1, respectively. An experiment is designed to test Mendel’s theory, with the result that the offspring seeds consist of 307 that are yellow smooth, 77 that are green smooth, 98 that are yellow wrinkled, and 18 that are green wrinkled. Use a 0.05 significance level to test the claim that the results contradict Mendel’s theory.
- A22 The color of one’s eyes is determined by a single pair of genes, with the gene for brown eyes being dominant over the one for blue eyes. This means that an individual having two blue-eyed genes will have blue eyes, while one having either two brown-eyed genes or one brown-eyed and one blue-eyed gene will have brown eyes. When two people mate, the resulting offspring receives one randomly chosen gene from each of its parents’ gene pair. If the eldest child of a pair of brown-eyed parents has blue eyes, what is the probability that exactly two of the four other children (none of whom is a twin) of this couple also have blue eyes?Jaxon remembers that the passcode contains the digits 1, 2, 3 and 4, but he cannot recall their order. If Jaxon randomly enters these four digits, what is the chance that he will enter the correct code?In a study of pain relievers, 20 people were given product A, and all but 7 experienced relief. In the same study, 100 people were given product B, and all but 27 experienced relief. Please help me feel in the blanks Product--performed worse in the study because --% failed to get relief with this product, whereas only--- % failed to get relief with Product?