which mendelian law of inheritance states that organisms inherit two copies of each gene and donate one copy to each of their offspring?

Answers

Answer 1

The Mendelian law of inheritance that states organisms inherit two copies of each gene and donate one copy to each of their offspring is known as the Law of Segregation.

According to this principle, during gamete formation, the two alleles (alternative forms of a gene) segregate from each other, so that each gamete receives only one copy of the gene. During the formation of reproductive cells (such as eggs and sperm) in an organism, the two alleles for a particular gene separate and end up in different gametes. When these gametes fuse during fertilization, the offspring receives one allele from each parent, thus inheriting two copies of each gene. The Law of Segregation is a fundamental concept in classical genetics proposed by Gregor Mendel, an Austrian monk and scientist. His experiments with pea plants in the 19th century led to the formulation of Mendelian laws, which laid the groundwork for our understanding of inheritance patterns. The Law of Segregation helps explain the inheritance of traits and the passing on of genetic information from one generation to the next.

Learn more about organisms here:

https://brainly.com/question/13278945

#SPJ11


Related Questions

A ____________________ reaction is a severe response to an allergen, also known as anaphylaxis.

Answers

Anaphylaxis, also called allergic or anaphylactic shock, is a sudden, severe and life-threatening allergic reaction that involves the whole body. The reaction is marked by constriction of the airways, leading to difficulty breathing.

Anaphylaxis is a severe, whole-body allergic reaction to a chemical that has become an allergen. An allergen is a substance that can cause an allergic reaction.

Anaphylactic shock is a rare but severe allergic reaction that can be deadly if you don't treat it right away. It's most often caused by an allergy to food, insect bites, or certain medications. A shot of a drug called epinephrine is needed immediately.

To learn more about anaphylactic shock here

https://brainly.com/question/14485888

#SPJ4

Most water is lost daily via the:_______
a. colon.
b. kidneys.
c. lungs.
d. skin.

Answers

Answer:

B. Kidneys

How does drinking water affect the kidneys?

Most individuals are aware that our bodies need water to function. Our bodies are actually made up of about 70% water. Water facilitates all bodily processes, whether it be the brain, which directs all bodily movements, the blood, which carries oxygen and nutrients, or even the muscles, which maintain our bones sound and erect. Water is the element that is most essential to human survival, as even our predecessors understood.

Even though they include largely water, other drinks including fruit juice, tea, coffee, and carbonated drinks shouldn't be confused with water. For proper hydration, doctors advise us to consume 13 glasses of water each day. Abdominal discomfort, motion sickness, constipation, diarrhea, and a number of other health problems can result from not drinking enough water. In order to maintain proper body processes, water is essential.

Reasons for drinking water

For your kidneys to effectively remove toxins from your body, you need to drink enough water. Water is necessary for the liver and kidneys to remove poisonous waste from the body. Urine is the bodily waste substance that is expelled from the body.Water facilitates regular bowel motions inside the intestines. Drink enough water to avoid constipation, indigestion, and other digestive issues.Increased water consumption might assist you avoid consuming extra calories. It keeps your hunger in check, makes you feel full, and encourages you to eat just little amounts of food, which helps to maintain a healthy physique. Many diet plans recommend increasing your water intake as a deliberate weight reduction strategy. A body that is properly hydrated can metabolize fats and carbs quickly.Drinking enough water helps to maintain the delicate balance of body fluids. The body's ability to absorb and assimilate nutrients depends heavily on water. Blood is made mostly of water in about 82 percent of cases. Drinking enough water each day contributes to keeping your blood viscosity at the right level.Water makes the skin look fresh and smooth. A hydrated body usually has soft and healthy skin. Dehydration leads to anxiety and nervous tension. It can also impair concentration and lead to mood swings, thus lowering the brain functions. Keeping yourself hydrated boosts memory, keeps you active, increases concentration and improves mood.Water regulates your body temperature by maintaining the fluid levels in the body. It flushes out excess heat from the body in the form of sweat. This helps to maintain proper body temperature.

A 1500 iu (300 µg) dose of rhig can suppress immunization to _____ ml of d-positive whole blood.

Answers

A 1500 iu (300 µg) dose of rhig can suppress immunization to 30ml ml of d-positive whole blood

About 30 mL of D-positive whole blood can prevent immunization with 300 g of RhIg (15 mL of packed rbc). If the gestational age is less than 12 weeks, a dose of 600 IU (120 g) can be adequate. The recommended dosages change from nation to country and even within countries depending on the foetus' development.

In North America, it is accepted that 300 g of RhIg can prevent the immunisation of about 30 mL of whole blood that has tested positive for D. For example, FMH larger than 30 mL of whole blood (for 300 g dosages) and FMH above 12 mL of RBC (for 100 g doses) both call for testing to identify larger foetal bleeds.

Learn more about blood here:

https://brainly.com/question/17030548

#SPJ1

Hall KT, Loscalzo J, Kaptchuk TJ. Genetics and the placebo effect: the placebome. Trends Mol Med 2015;21:285-94.

Answers

Placebo responses greatly influence ordinary clinical outcomes, making placebo controls essential in randomized clinical trials (RCTs).

What are the placebome, or genetics, and the placebo effect?

Recent research in neurophysiology reveals the neurotransmitter networks that control placebo effects. It is possible to use genetic screening to identify placebo responders, which would boost the efficiency of RCTs and enhance therapeutic treatment. This is supported by evidence that genetic differences in these pathways can alter placebo effects. Additionally, the design of RCTs should take into account any potential interactions between the molecular pathways of the medicine and the placebo. The placebome, a study of the genetic influences on placebo response, is still in its infancy. Here, we evaluate data from placebo trials and RCTs to pinpoint putative genes in the placebome, look into data for interactions between placebo and drugs, and discuss implications for clinical care and RCTs.

Learn more about placebo here:

https://brainly.com/question/17494089

#SPJ4

The theory of endosymbiosis is supported by all but which of these observations?

Answers

The exterior arrangement similar to bacterial cell walls is not an evidence in favors of the endosymbiotic theory. Endosymbiotic theory States that organelles such as chloroplasts and mitochondria were once free-living prokaryotes which eventually lived symbiotically within larger cells, forming modern day eukaryotes.

In addition to the lack of histones, mitochondria and chloroplasts have circular, single stranded DNA. Single stranded, circular DNA is found exclusively in prokaryotes. This evidence supports the endosymbiosis theory because these characteristics would allow the mitochondria and chloroplasts to survive on their own. Evidences that support endosymbiotic theory are presence of DNA, size of ribosomes, Inhibition by antibiotics, evolutionary relationship.

To learn more about endosymbiotic theory , here

https://brainly.com/question/1979952

#SPJ4

The cartilage that is located at the end of long bones that closes when growth ceases is called the:_______

Answers

The cartilage that is located at the end of long bones that closes when growth ceases is called the Hyaline cartilage. Hyaline cartilage is found in the synovial joints and assists the motion of joints. It is composed of chondrocytes and extracellular matrix. Chondrocytes plays a major role in the organization of extracellular matrix, which is responsible for the biomechanical properties of cartilage tissue. A region of hyaline cartilage remains over the surface of the epiphysis as the articular cartilage and another area of cartilage remains between the epiphysis and diaphysis.

The epiphyseal plate is the area of growth in a long bone. It is a layer of hyaline cartilage where ossification occurs in immature bones. On the epiphyseal side of the epiphyseal plate, cartilage is formed.

To learn more about Hyaline cartilage ,here

https://brainly.com/question/14249623

#SPJ4

How do cells become different types of tissues that work together in organ systems?.

Answers

Answer:

Individual cells form different types of tissue. For example, myocytes make up muscle tissue. Muscle tissue works with other types of tissue such as connective tissue or vascular tissue to form organs, like the stomach.

The cell becomes different types of tissue due to its specification and determination. Some genes are specifically expressed in some cells. The tissues of an organ have similar function and perform a single function in an organ.

What is cell specification?

Cell specification is a process by which the cell already specifies its fate and expresses some specific characteristics. A zygote is a totipotent cell. This zygote is further divided and forms all types of cells.

As the cleavage proceeds, the zygote is divided into multiple cells. Each cell gets its fate and accumulates in tissue, organs, etc. The organ has all different types of tissues, such as the stomach, as an example. It has gastric cells for gastric juice secretion, chief cells, etc., but all these tissues perform functions for a single organ. This is due to chromosome modification and changes in chromatin gene structure.

Hence, cells become different types of tissue that coordinate different functions in an organ.

To learn more about the cell specification, click here.

https://brainly.com/question/2695615

#SPJ2

A chemoorganotrophic bacterium that respires nitrate grows _________ than one that respires oxygen.\

Answers

A chemoorganotrophic bacterium that respires nitrate grows slower than one that respires oxygen.

What is a chemoorganotrophic bacterium?

A chemoorganotrophic bacterium is a type of microorganism from the kingdom Archaea that uses different chemicals to survive.

A chemoorganotrophic bacterium that uses nitrates has a slower metabolic rate than aerobic bacteria.

In conclusion, chemoorganotrophic bacteria using nitrate grows slower than aerobic bacteria.

Learn more about chemoorganotrophic bacteria here:

https://brainly.com/question/14737650

#SPJ1

What two types of evolutionary evidence, taken together, provide strong evidence for when extinct species most likely diverged from common ancestors, relative to other events happening on Earth

Answers

Answer:

"DNA mutation rate" and "Homologous structures".

Homologous and analogous structures are two types of evolutionary evidence, taken together, provide strong evidence for when extinct species most likely diverged from common ancestors, relative to other events happening on Earth.

Several types of evidence support the theory of evolution: If two or more species share a unique physical feature, such as a complex bone structure or body plan, they can all inherit this property from the common ancestor. Physical traits shared through evolutionary history (common ancestor) they say they are homologous. Not all physical properties that look similar are signs of common ancestry. Some physical similarities instead are analogous: they evolved independently in different organisms because organisms lived in similar environments or experienced similar selective pressures.

Learn more about Homologous and analogous structures on:

https://brainly.com/question/14529788

#SPJ4

Of the five known human sensory systems, which type of hallucination is the most common?

Answers

Auditorial (or hearing voices). There’s actually an illness in which the main symptom is hearing voices.

Which of the following statements is true regarding a recessive trait that is carried on the X chromosome

Answers

Answer:

please present the options given so we can better be of assistance

Explanation:

please give the options so we can better be of assistance.

After teaching a group of students about fertilization, the instructor determines that the teaching was successful when the group identifies which as the usual site of fertilization?

Answers

After teaching a group of students about fertilization, the instructor determines that the teaching was successful when the group identifies the distal portion of fallopian tube as the usual site of fertilization.

What is fertilization?

Fertilization is defined as binding of a male gamete(sperm) to a female gamete(ova) which would lead to the formation of a zygote.

Without fertilization, reproduction and conception cannot take place for the development of a foetus.

In female reproductive system, this fertilization takes place in the distal portion of fallopian tube.

Therefore, after teaching a group of students about fertilization, the instructor determines that the teaching was successful when the group identifies the distal portion of fallopian tube as the usual site of fertilization.

Learn more about reproduction here:

https://brainly.com/question/1154065

#SPJ1

Progressive muscle relaxation involves tensing and relaxing key muscle groups in order to:________

Answers

It is an order to reduce pain and soreness after exercise

Explain why the plant height at 50 mL is not consistent with the rest of the data. What evidence can you use from the regression analysis to make this point?

Answers

The plant height of not persistent with the rest of the data due to probably the wrong amount of gibberellic acid added to the plant at that step.

What is regression analysis?

Regression analysis can be defined as the method that is used to compare an independent variable with a dependent variable.

When a graph is plotted between Independent variable (gibberellic acid) and the Dependent variable (plant height) it is scattered because 50ml data.

This is so due to probably the wrong amount of gibberellic acid added to the plant at that step.

Learn more about regression analysis here:

https://brainly.com/question/7781679

#SPJ1

Melanin Group of answer choices occurs at high rates in individuals with light skin tone. is advantageous because it provides protection from solar radiation. develops more with age. is a chemical that decreases the possibility of a tan.

Answers

Melanin is advantageous because it provides protection from solar radiation.

The coloring of the skin and hair is caused by melanin. Additionally, it shields the skin from the sun. The cells known as melanocytes create the pigment melanin. The skin, hair, and eyes are just a few body regions where these cells can be found.Defense against UV radiation. Melanin shields your skin from damaging rays like UVA, UVB, UVC, and blue light by absorbing them.Safety against reactive oxygen species (ROS). The cell processes in your body produce reactive oxygen species as byproducts.In addition to having a higher risk of developing skin cancer, redheads and blondes have less melanin in their skin and hair, which actually intensifies the harmful effects of ultraviolet (UV) radiation.

learn more about Melanin here: https://brainly.com/question/11081398

#SPJ4

?
Hemophilia is a sex–linked disorder that is caused by a defective gene on the X chromosome. What will be the pattern of inheritance of the offspring of a hemophiliac father?

Answers

The pattern of inheritance of the offspring of a hemophiliac father would be heterozygous.

What is Hemophilia?

Hemophilia is defined as the sex–linked disorder that occurs due to an abnormality of the X chromosome.

A father that has hemophilia would be affected only on his X chromosome and can only pass it to their children making them carries.

This is because the children would inherit only one X chromosome from their father and a healthy X chromosome from their mother.

Learn more about chromosome here:

https://brainly.com/question/269366

#SPJ1

Which hormone(s) is/are required for facultative water reabsorption in the collecting ducts?

Answers

ADH hormones are required for facultative water reabsorption in the collecting ducts.

What about facultative water reabsorption?The antidiuretic hormone is the hormone in charge of facultative water reabsorption (ADH). By enhancing the water permeability of key cells in the collecting duct and the last segment of the distal convoluted tubule, facultative water reabsorption is achieved. The proximal convoluted tubule is the initial area of the nephron that is in charge of reabsorbing water. The proximal tubule receives filtered fluid from Bowman's capsule. Antidiuretic hormone increases the reabsorption of water into the circulation by binding to receptors on cells in the kidney's collecting ducts. The collecting ducts are essentially impermeable to water in the absence of antidiuretic hormone, and water escapes as urine.In facultative reabsorption, water is reabsorbed through osmosis because the impact of ADH makes the collecting ducts more permeable to water.

Learn more about hormone here:

https://brainly.com/question/4678959

#SPJ1

Two matching chromosomes having the same basic structure and same sequence of genes are called a ______ pair.

Answers

Two matching chromosomes having the same basic structure and same sequences of genes are called a Homologous chromosomes ,which is made by same pairs , centro-mere position, and staining pattern, for gene with same corresponding loci.

The same gene present at the same genes at the same loci positions .A homologous chromosomes are the set of one maternal and one paternal chromosome that pair up with each other during cell fertilization.

Its pair are similar to one another and have the same size and shape.Also they carry the same type of genetic information's. If four pair of chromosomes are present called a tetra or bivalent chromosomes.

To learn more about Homologous chromosomes here

https://brainly.com/question/27258467

#SPJ4

After the movie is over, Illana's heart rate starts to go back down, and the hairs on the back of her neck return to normal as she watches the credits scroll. Which part of the nervous system is responsible for this

Answers

Answer:

the heart it is because the heart beats and it goes up and down

If menarche does not appear by age 16, or if the normal uterine cycle of an adult woman is disrupted for six months or more, the condition is called_____________.

Answers

Answer:

The condition is known as amenorrhea.

how does water get undergroud

Answers

Answer:

It seeps through soil, sand, and stone.

Explanation:

Almost all natural materials are porous, meaning they have little holes and openings things can seep through, especially liquid. The ground is made of natural substances, so therefore, water can get underground.

New water, such as from rain or melting snow, drips down into the ground through the pores and cracks in the rocks and soil. Some of the water sticks to the dirt and rocks close to the surface and some of it continues to drip downward

Which one of the following conditions is linked to poverty, insufficient food intake, poor food quality unsanitary living conditions, and improper feeding of infants and young children?

Obesity
Heart disease
Cancer
Protein-energy malnutrition

Answers

Answer: Protein-energy malnutrition

Answer: Protein-energy malnutrition

Explanation:

How does a dog fulfill the three points of the cell theory?

Answers

Answer:?By stinking up the house

Explanation:Sorry im silly

Two factors affect the ability of drugs to destroy organisms in a ____________ community; the drug must be able to penetrate the thick sticky ____________ material surrounding the organisms, and the altered ____________ in biofilm organisms compared to their free-living counterparts must be addressed.

Answers

Two factors affect the ability of drugs to destroy organisms in a biofilm community; the drug must be able to penetrate the thick sticky extracellular material surrounding the organisms, and the altered phenotypes in biofilm organisms compared to their free-living counterparts must be addressed.

What are the factors affecting drug action?

Factors affecting drug action includes:

Drug dosage: effect of drug increases with increased amount of drug up to the POINT OF RECEPTOR SATURATIONNumber of Receptors: receptors may be differentially expressed in one tissue to the next and, therefore, mediate different levels of biological responses.Disease states: disease states can effect drug pharmacologyDrug Efficacy/Intrinsic activity: ability to activate or block a receptor: maximum effect a drug can produce regardless of the doseDrug Potency/Affinity: rate of drug-receptor binding and drug-receptor release: amount of drug needed to produce a particular effect: drug affinity for receptor.Genetic factorsRoute of administration: The drug injected by IV fluid is more effective.Rate and degree of absorption: The drug which is more absorbed is more effective.Effect of other drugsTolerance

To learn more about Drugs,

https://brainly.com/question/26254731

#SPJ4

In order for a eukaryotic or prokaryotic cell to divide, it needs to first duplicate its entire ______, which consists of all of its genetic material.

Answers

In order for a eukaryotic or prokaryotic cell to divide, it needs to first duplicate its entire Genome ,which consist of all of its genetic material.

Prokaryotic cell division is termed binary fission.Prokaryotic chromosome is a single DNA molecule that first replicates, then attaches each copy to a different part of the cell membrane.

Mitosis is a process of nuclear division in eukaryotic cells that occurs when a parent cell divides to produce two identical cells.The first phase to cell  division is pro-phase in which the nucleus dissolves and chromosomes migrated.And then finally chromosomes are separated and the cells are physically split into two cells.

To learn more about Mitosis here

https://brainly.com/question/26678449

#SPJ4

The ______ fishery management approach views the entire ecosystem as relevant to managing a fishery and allows for the diverse societal uses of fish stocks, including fishing, recreation, tourism, and overall ecosystem health.

Answers

The ecosystem-based fishery management approach views the entire ecosystem as relevant to managing a fishery and allows for the diverse societal uses of fish stocks, including fishing, recreation, tourism, and overall ecosystem health.

The ecosystem-based management of fisheries is an approach, which projects a holistic outlook towards the management of fisheries in such a way that, humans can benefit from in numerous ways like fishing for food or recreation, or for breeding new stocks of fish. All this is done keeping in mind the angle of environment and biodiversity conservation of the area as well. This approach is extremely essential to keep a check on the effects of human intervention in the ecosystem of the fisheries and how to maintain a stable balance between the two without harming the latter.

Learn more about fishery management here-

https://brainly.com/question/12084346

#SPJ4

Presence of the phenotype of an autosomal recessive disorder in one generation and then absence of the phenotype in the next generation likely means?

Answers

Presence of the phenotype of an autosomal recessive disorder in one generation and then absence of the phenotype in the next generation likely means the alleles are present in heterozygous condition carrying disorder.

A trait, illness, or disease can be passed down through families in a number of different ways, one of which is autosomal recessive. Two allele of a defective gene are required for an autosomal recessive disorder to manifest as a disease or trait. The type of chromosome that is impacted determines whether a person inherits a certain disease, condition, or trait. Sex chromosomes and autosomal chromosomes are the two types.

To learn more about autosomal recessive disorder click here

brainly.com/question/16021870

#SPJ4

Rene and Don are discussing the purpose of nutrients. Rene says that nutrients participate in chemical reactions and can change the taste of food. Don says nutrients act as structural materials for cells and provide the body with energy. Who is correct

Answers

Answer:

Don

Explanation:

nutrients help energize the body

al has a pet cat. one day he observes that it is scratching and urinating on tree trunks in his yard. what behavior is al's cat displaying?

Answers

Al's cat is displaying territoriality by marking his territory by marking territory with urine and scratches.

Territoriality

Territoriality is the defense of the area where an organism lives. The marked area is often regarded as the territory of the animal living there. Al's cat is marking its territory by urinating on the plants and scratching them. Other animals that enter the territory of the cat will be able to know that the territory is not theirs and keep themselves away from the same. If an animal invades the territory of another animal it might get attacked by the animal whose territory it just invaded.

Marking the territory often comes with many perks as the animal is able to lay claim to the food, nest locations, shelter, interactions with mates, etc. The animal is able to monopolize the space in which they live.

Learn more about territoriality here:

https://brainly.com/question/806271

#SPJ4

Insulin lowers blood glucose levels by Check All That Apply causing skeletal muscle cells to uptake glucose.causing skeletal muscle cells to uptake glucose. causing liver cells to uptake glucose.causing liver cells to uptake glucose. causing glucose to be released in urine.causing glucose to be released in urine.

Answers

Insulin lowers blood glucose levels by doing the following:

Causing skeletal muscle cells to uptake glucose Causing liver cells to uptake glucose

What is insulin?

Insulin is a protein-based hormone that controls the metabolism of glucose in living things' cells.

We digest the food's carbohydrate supply into glucose, the simplest chemical compound. This glucose enters the bloodstream and is used to create energy for respiration.

However, the blood sugar level can be quite high or low, leading to ailments such as diabetes. This is where insulin hormone comes in.

Insulin regulates high blood sugar level by doing the following:

Causing skeletal muscle cells to uptake glucose Causing liver cells to uptake glucose

Learn more about insulin at: https://brainly.com/question/13989526

#SPJ1

Other Questions
while studying the t- and b-cell immune suppressors, the nursing students learn that the most commonly used immune suppressant is: A) Cyclosporine (Sandimmune)B) Azathioprine (Imuran)C) Pimecrolimus (Elidel)D) Glatiramer (Copaxone) what is the force between two particles separated by a distance of 5m. particle 1 has charge 0.003 mc and particle 2 has charge 0.006 mc accurate radiometric dating is possible only if a rock containes a measurable amount of Hello please I need help with these questionnaires.1) Why do we say that the eye is a photographic device?2) What are the organs that ensure the fragmentation of food?3) What is the destination of the nutrients?4) What are the organs that ensure the chemical simplification of food?5) What is the role of the small intestine?6) What are the fields of application of the work of Louis Pasteur?7) Which part of the eye provides accommodation? Suppose $1 = 10.5 pesos in New York and $1 = 9.6 Pesos in Mexico City. If you had $10,000 using arbitrage, your profits would be? if you consumed a one-third to one-half ounce of pure alcohol steadily per hour, A. you would pass out after the fourth hour B. you would feel intoxicated by the third hour C. you would not feel intoxicated D. you would be intoxicated by the sixth hour repair of a leaky fitting in a galvanized piping system often requires that the pipe be ____ and a ____ installed so the leaking joint can be repaired. a firm evaluates all of its projects by using the npv decision rule. year cash flow 0 $30,000 1 24,000 2 14,000 3 8,000 a. at a required return of 23 percent, what is the npv for this project? the following table lists the ages (in years) and the prices (in thousands of dollars) for a sample of six houses.Age 27 15 3 35 14 18Price 165 182 205 178 180 161 The standard deviation of errors for the regression of y on x, rounded to three decimal places, is: bruce corporation makes four products in a single facility. these products have the following unit product costs: products a b c d direct materials $ 14.10 $ 10.00 $ 10.80 $ 10.40 direct labor 19.20 27.20 33.40 40.20 variable manufacturing overhead 4.10 2.50 2.40 3.00 fixed manufacturing overhead 26.30 34.60 26.40 37.00 unit product cost $ 63.70 $ 74.30 $ 73.00 $ 90.60 additional data concerning these products are listed below. products a b c d grinding minutes per unit 3.60 5.10 4.10 3.20 selling price per unit $ 75.90 $ 93.30 $ 87.20 $ 104.00 variable selling cost per unit $ 2.00 $ 1.00 $ 3.10 $ 1.40 monthly demand in units 3,800 3,800 2,800 3,000 the grinding machines are potentially the constraint in the production facility. a total of 53,400 minutes are available per month on these machines. direct labor is a variable cost in this company. up to how much should the company be willing to pay for one additional minute of grinding machine time if the company has made the best use of the existing grinding machine capacity? evaluate the integral by interpreting it in terms of areas. 0 1 1 x2 dx 1 FILL IN THE BLANK ____ is the promotion mix tool that consists of short-term incentives to encourage the purchase or sale of a product or service. Find the following if the market is controlled by two firms who make their production decision simultaneously (Cournot): a. Quantities supplied by each firm. b. Market Price Profits earned by each firm. d. Deadweight loss under the duopoly. BR functions, and NE. C. e. The following data applies to Questions 4 and 5. Consider the following two risky assets: Expected return (%) Standard Deviation (%) Stock fund (S) 15 32 Bond fund (B) 9 23 The correlation coefficient between the stock return and the bond return is 0.5. Now construct a risky portfolio P in which Ws=0.6 and WB=0.4? What is the expected return of the risky portfolio P? Your answer should be in percentage points and accurate to the hundredth. Question 5 What is the standard deviation of the risky portfolio P? Your answer should be in percentage points and accurate to the hundredth. if this simple harmonic motion is generally fit to: , then what would you say is the phase constant, f, for this particular motion? Use mathematical induction to prove the following statement. If a, c, and n are any integers with n > 1 and a = c(mod n), then for every integer m > 1, am = cm (mod n). You may use the following theorem in the proof: Theorem 8.4.3(3): For any integers r, s, t, u, and n with n > 1, if r = s(mod n) and t = u(mod n), then rt = su (mod n). Proof by mathematical induction: Let a, c, and n be any integers with n >1 and assume that a = c(mod n). Let the property P(m) be the congruence am = cm (mod n). Show that P(1) is true: identify P(1) from the choices below. 0 = c (mod 0) Oat = ct (mod n) al = c (mod 1) a = cm (mod n) a = c(mod n) The chosen statement is true by assumption. Show that for each integer k > 1, --Select--- : Let k be any integer with k 21 and suppose that a Eck (mod n). [This is P(k), the ---Select-- 1.] We must show that Pk + 1) is true. Select Plk + 1) from the choices below. ak+1 = ck +1 (mod n) a = c" (mod k) Oak = ck (mod n) an+1 = c + 1 (mod k) Now a = c(mod n) by assumption and ak = ck (mod n) by ---Select--- By Theorem 8.4.3(3), we can multiply the left- and right-hand sides of these two congruences together to obtain .(C )=(C ).ck (mod n). ck (mod n). Simplify both sides of the congruence to obtain ak +13 (mod n). Thus, PK + 1) is true. [Thus both the basis and the inductive steps have been proved, and so the proof by mathematical induction is complete.] Find the area of the shape which type of steel has the designation 4330 discuss the impact of the two challenges on safe healthy living on the human rights in south Africa the exception rate the auditor will permit in the population and still be willing to conclude that the control is operating effectively is the