Answer:
Still thinking about the answer
Which job description would refer to the work of the Golgi complex?
Answer: The Golgi complex is responsible for manufacturing, warehousing, and shipping certain cellular products, particularly those from the endoplasmic reticulum
Explanation:
The function of Golgi is referred to a factory. It helps in the packaging, modification and transport of proteins received from ER.
What is a golgi complex?Golgi complex is a membrane bound organelle found exclusively in the cytoplasm of all eukaryotic cells.
It was discovered by the scientist Camillo Golgi and hence is the name.
Golgi is structurally similar to ER. It contains membranous cisternae in its assembly.
Golgi complex bud off from ER as vesicles. These vesicles are important for the transport of molecules across the cell.
Golgi complex also helps in the formation of lysosomes from the vesicles.
The essential function of Golgi complex is to modify the proteins with suitable functional group. This favours their transport into various cell compartments.
Golgi complex is responsible for various enzymatic reactions. For eg., glycosylation, phosphorylation etc.
Thus, Golgi complex is essential for protein sorting in a cell.
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Where in the chloroplast is chlorophyll found?
In the stroma.
Inside the thylakoid inner space (lumen).
Embedded in the thylakoid membranes.
In the Calvin cycle.
Answer:
The answer would be Embedded in the thylakoid membranes.
Explanation:
The green pigment chlorophyll is located within the thylakoid membrane, and the space between the thylakoid and the chloroplast membranes is called the stroma
what is the minimum value for the kevin temperature scale, and what would happen at that temperature?
Answer:
The answer would be absolute value. At absolute zero temperature (0 K°), all forces in the universe are gone: strong force, weak force, electromagnetic force, gravity force, there is no movement, no structure… it is unimaginable, utterly horrible.
Explanation:
One thing is: Don’t worry, that will never happen.
This universe is spontaneously, simultaneously thermodynamically balanced in natural thermodynamic entropy mutual transformation cycles (Q↓→E↑) ↔ (E↓→ Q↑) in their corresponding order conversion efficiency of (ɳ=E/Q) ↔ (1/ɳ=Q/E), ∑ ∆(mc² + mv) = ∑ ∆(mx + mc), (16), in the black hole --- galaxy complex: ∑ (mc² + mv) ↔ ∑ (mx + mc), (17). In quantum level thermodynamic entropy transformation unit of the black hole --- galaxy complex as the only concentrative – dissipative structure in the universe, it will keep the basic thermodynamic entropy mutual transformation unit thermodynamically balanced, and thermodynamic balance will keep all other balances. And due to these basic thermodynamic units composed of the universe, the whole universe is balanced in every way.
This world had been like this from startles past and will be like this to endless future.
Natural process spontaneously keeps thermodynamic existence balanced continuation but to do so, it spontaneously cuts off the information existence evolutionary continuation to allow that to happen.
Though the nature does give intelligent lives a way out to allow the rare rationally rational being to use their rationality ability to form a rational open process to connect the limited natural processes to reach the endless future. Due to this rational life is a tiny proportion of the mass of the universe, and they are so much rational, they will never disturb the thermodynamic balance of this universe --- they coexist with this universe as eternal life, they are the real meaning of this universe --- the effective information E.
You may wonder, can the temperature ever drop below absolute zero?
Negative absolute temperature is indeed possible. In fact, researchers achieved this in 2013.
Here’s the thing though: Negative absolute temperature isn’t colder than absolute zero; it’s actually hotter than infinity (that’s messed up, right?).
Achieving this depends on the use of the general thermodynamic definition of temperature, rather than the “kinetic” definition that everyone learns in high school (i.e. that temperature is a measure of the average kinetic energy of the molecules in a system).
Turns out that the kinetic definition isn’t entirely general. So, instead, thermodynamics defines temperature using:
\(\frac{1}{T} =\frac{\alpha S }{\alpha E }\)
Or, in words:
\(\frac{1}{\text{Temperature}} =\frac{\text{Change in Entropy}}{\text{Change in Energy}}\)
So how do you get negative temperature from that?
Well, the way that a system normally appears in nature is that its molecules have high probability of being found in low energy states, and a low probability of being in high energy states. This is true even for things that are conventionally very hot.
When we add energy to such a system, we promote some of its molecules to higher energy states. Since entropy is proportional to the natural log of the number of microstates of the system, it follows that the entropy of the system increases as its molecules attain higher energy (the number of possible arrangements, or microstates, of the system increases).
So entropy increases with energy. That makes \(\frac{\alpha S}{\alpha E}\) positive and so T is positive.
Suppose, though, that you find a way to invert that system, so that its molecules have high probability of being found in high energy states, and low probability of being found in low energy states. And, suppose, further, that the molecules of that system have an upper bound on the energy they can absorb.
Adding energy to the inverted system, then, causes it to tend toward a state where all the molecules have their energy maximized. As there are only a small number of ways to arrange such system, the system’s entropy will tend toward zero as energy increases. And that means that entropy is decreasing.
So, in the inverted system, entropy decreases with increasing energy. That makes \(\frac{\alpha S}{\alpha E}\) negative, and so T
is negative. We’ve achieved negative temperature!
In between the increasing entropy state and the decreasing entropy state, there will be a maximum entropy state. If you’ve taken first year calculus, you’ll remember that, as we approach that maximum, \(\frac{\alpha S}{\alpha E}\) approaches zero. This means that T
must be approaching infinity.
Positive temperatures occur to the left of the peak, and negative temperatures to the right of the peak. The insets show the distribution of molecular energies at the corresponding temperatures.
Note that the contrived negative temperature system we’re discussing here cannot be measured conventionally, by putting a thermometer into equilibrium with the system.
Write a ""lifeline"" of a robin over the first year of its life. Include important events.
Answer: I hope that this helps you please give me brainiest
Robins are born in the spring or summer and are mature birds and ready to breed in the following spring or summer. They do not mate for life. Pairs usually remain together during an entire breeding season, which can involve two or three nestlings.
Since leaving the nest (fledgling), it takes another 10-15 days for babies to become good fliers and individual birds. The parents continue to feed their young throughout this time.
Explanation:
How long do robins live?
A. Most robins die their first year. But the lifespan goes up dramatically for the ones that survive that critical time, because they've learned so many important life skills. Of those that survive their first year, most wild robins live to be about 5 or 6. As of February, 2001, the longest-living banded wild robin ever recorded had survived 13 years and 11 months, according to the Bird Banding Laboratory at the Patuxent Wildlife Research Center. In captivity, robins have survived longer than 17 years.
Q. Do robins mate for life?
A. No, robins do not mate for life. Pairs usually remain together during an entire breeding season, which can involve two or three nestings. However, in spring, sometimes a male and female who mated the previous year will both return to the same territory and end up together for another year. This happens most frequently when they were successful raising babies the previous year.
Q. How long do robins stay in the egg? (egg stage)
A. About 12-14 days after the last egg was laid. (Robins lay one egg per day, for a total of 5-6 eggs in a clutch.)
Q. How long do robin babies stay in the nest (nestling stage)?
A. Baby robins jump from their nest when they are about 13 days old (but the range is 9 - 16 days old).
Q. When do young robins learn to fly? (fledgling stage)
A. After leaving the nest (fledging), it takes another 10-15 days for babies to become strong fliers and independent birds.
Q. How long does it take a robin to go from egg to independence?
A. Here is a summary:
Life Cycle Stage # Days
Egg 12 - 14
Nestling 9 - 16
Fledgling 10 - 15
Total 31 - 45
Q. How old are robins when they mate?
A. Almost one year old. Robins are mature adults and ready to breed in the spring that follows the spring or summer they were born.
All of the following are reasons why is copper (Cu) so widely sought
after EXCEPT: *
A. Used for/in a lot of things
B. Highly conductive
C. Has the ability to turn into gold
D. Antibacterial properties
what enzyme can proof-read the dna molecule, minimizing the mistakes made during the process of dna replication?
The DNA polymerase enzyme's capacity to proofread the DNA molecule helps to decrease DNA replication mistakes.
Fortunately, cells have developed extremely complex mechanisms to correct most of those errors, but not all of them. While some errors are fixed following replication in a stage called mismatch repair, others are fixed while replication is still happening in a stage called proofreading. Replication is impeded when an erroneous nucleotide is added to the developing strand because the exposed 3′-OH group is in the wrong location. DNA polymerase enzymes notice this during proofreading and swap out the erroneous nucleotide to keep replication going. Even if 99 percent of mistakes may be corrected by proofreading, accurate cell reproduction is still not possible.
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What is DNA polymerase?
Answer:
A DNA polymerase is a member of a family of enzymes that catalyze the synthesis of DNA molecules from nucleoside triphosphates, the molecular precursors of DNA. These enzymes are essential for DNA replication and usually work in groups to create two identical DNA duplexes from a single original DNA duplex
Answer:
A DNA polymerase is a member of a family of enzymes that catalyze the synthesis of DNA molecules from nucleoside triphosphates, the molecular precursors of DNA.
In the systemic capillaries in muscle tissue, hemoglobin releases virtually all the oxygen it is carrying and becomes completely desaturated.
a. True
b. False
In the systemic capillaries in muscle tissue, hemoglobin releases virtually all the oxygen it is carrying and becomes completely desaturated True
The answer is a. True.
In the systemic capillaries in muscle tissue, hemoglobin releases virtually all the oxygen it is carrying and becomes completely desaturated. This process is essential for the delivery of oxygen to the cells of the muscle tissue, where it is used in cellular respiration.
As blood flows through the systemic capillaries in muscle tissue, the partial pressure of oxygen in the capillaries is higher than in the surrounding tissue. This causes the hemoglobin in the red blood cells to release its oxygen, which diffuses into the tissue. The now oxygen-depleted hemoglobin becomes completely desaturated, meaning it has given up all of its oxygen and has no more to release.
This process continues as blood continues to flow through the capillaries, supplying the cells of the muscle tissue with the oxygen they need for cellular respiration and removing waste products such as carbon dioxide.
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Approximately what percent of the sunlight striking the earth is actually captured by the biosphere on any given day? brainloy
About 71% of the sunlight that reaches the Earth is absorbed by the surface of the earth and atmosphere.
What is light energy?The capacity to make different forms of light visible to human sight makes light energy a sort of kinetic energy. Light is referred to as electromagnetic radiation that is produced by hot things like the sun, lasers, and lightbulbs.
Photons, which are tiny energy packets, are present in light. Photons are created when the atoms of an item undergo a heating process; this is how photons are created. The heat excites the electrons, which leads to their producing more energy. A photon is produced when the energy is released, and as the substance heats up, more photons are produced.
Therefore, 71% of the sunlight that reaches the Earth is absorbed by the surface of the earth and atmosphere.
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How is cross pollination of flowers beneficial? A: cross pollination helps repel bees B: flowers cannot pollinate them selves
Answer:
A
Explanation:
Cross pollination helps repel bees, Self pollination can be done
the first part of cellular respiration is called glycolysis, takes place in the _ and does not require any_
The first part of cellular respiration is glycolysis. It takes in the cytoplasm and does not require any oxygen.
What is glycolysis?
Glycolysis is the first stage of cellular respiration. In this reaction, glucose molecules are broken down to produce two pyruvate molecules - 3 carbon compounds.
The process of glycolysis takes place in the cytoplasm of cells and happens in a two steps reaction:
Glucose is first phosphorylated to form glucose-6-phosphateThe glucose-6-phosphate produced undergoes isomerization to form fructose-6-phosphateFructose-6-phosphate undergoes phosphorylation to become fructose-1, 6-biphosphatefructose-1, 6-biphosphate cleaves to produce two 3-carbon molecules known as pyruvates.Thus, glycolysis requires two molecules of ATP for the two phosphorylation reactions. It is a process that does not require oxygen.
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4
Drag each label to the correct location on the image.
Classify the disease according to whether it affects the digestive system or respiratory system.
canine parvovirus infection
coccidiosis
giardiasis
Respiratory
tracheobronchitis
feline viral rhinotracheitis
Digestive
The diseases according to their effects are:
canine parvovirus infection - Digestive
coccidiosis - Digestive
giardiasis - Digestive
tracheobronchitis - Respiratory
feline viral rhinotracheitis - Respiratory
What is feline viral rhinotracheitis?Feline viral rhinotracheitis (FVR) is a widespread respiratory disease caused by felid herpesvirus 1. (FeHV-1). The disease impairs pulmonary defense mechanisms, predisposing cats to secondary bacterial pneumonia or feline calicivirus infection.
Respiratory infections are common in cats, particularly in densely populated areas such as shelters, breeding catteries, and feral cat colonies. These infections, which have a negative impact on feline health, are caused by a variety of viruses, bacteria, fungi, and protozoa.
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T/F: as a component of the overall response to stress, epinephrine is released from cells of the adrenal cortex into the interstitial compartment where it acts on neighboring cells.
Political Borders:Question 5
The Peninsula seen here has been divided as a result of -
Select one:
O a political dispute
O religious differences
O physical characteristics
O a language barrier
Korean Peninsula
38⁰
Answer:
a language barrier Korean peninsula 38⁰
Explanation:
The 38th parallel of latitude was chosen in 1945 by the USA and USSR as a convenient borderline for their divided military occupation of the Korean peninsula. Under this divided occupation, Korea rapidly developed two ideologically different regimes, a socialist state in the North and a liberal state in the South.
What is the relationship between T cells and stem cells?.
Answer:
T cells are born from hematopoietic stem cells, found in the bone marrow. Developing T cells then migrate to the thymus gland to develop (or mature). T cells derive their name from the thymus.
Explanation:
Which population increases the amount of soil nutrients available to plants?
a bean plant that grows toward the sunlight
a fox that buries its meal
bacteria that help decompose a dead animal
hummingbirds that pollinate flowers as they feed
bacteria because the decomposed animal leaves nutrients and more area for plants to grow
The population that increases the number of soil nutrients available to plants is bacteria that help decompose a dead animal. The correct option is C.
What are soil nutrients?Soil nutrients are the organic compounds and elements present in the soil to make it more fertile. These nutrients are carbon, nitrogen, phosphorus, magnesium, etc. Nutrition is very necessary for soil to improve its fertility. The fertility of the soil is necessary for growing plants.
Bacteria are microorganisms that feed on dead and decay organic matter. As dead animals and plants fell down on earth. They are decomposed by microorganisms. They convert dead matter into organic substances.
Thus, the correct option is C. bacteria that help decompose a dead animal.
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Two parents learn they are each carriers for Cystic Fibrosis, each having the genotype (Aa).
Using a punnett square, perform a genetic cross to determine the probability that their children will inherit two recessive alleles and have Cystic Fibrosis (aa).
In your answer, explain the probability using either percentages (%) or odds out of 4 (1/4, 3/4, etc).
Answer:
When two carriers of Cystic Fibrosis (Aa) are crossed, the probability that their children will inherit two recessive alleles and have Cystic Fibrosis (aa) is 25%. This can be determined by performing a Punnett square, which shows all the possible gamete combinations and the resulting offspring genotypes. The Punnett Square would look like this:
A | a
—————
A | AA | Aa
a | Aa | aa
As you can see, out of the four boxes, one of them contains two recessive alleles, so the probability of their children having Cystic Fibrosis is one out of four, or 25%.
explain the difference between lymph, tissue fluid and plasma
Lymph, tissue fluid, and plasma are all fluids that exist in the body, but they differ in their location and composition.
Lymph is a clear fluid that circulates through the lymphatic system. It is formed when tissue fluid enters the lymphatic vessels and is transported through the lymphatic vessels and lymph nodes. Lymph contains immune cells and waste products and is important for the immune system.
Tissue fluid is a fluid that surrounds the cells in tissues. It is formed when blood plasma filters out of the capillaries and into the spaces between cells. Tissue fluid supplies nutrients and oxygen to the cells and removes waste products.
Plasma is the liquid part of the blood. It contains water, electrolytes, proteins, hormones, and waste products. Plasma carries nutrients, hormones, and waste products to and from the cells and tissues in the body.
In summary, lymph is a fluid that circulates through the lymphatic system, tissue fluid is a fluid that surrounds the cells in tissues, and plasma is the liquid part of the blood that carries nutrients, hormones, and waste products to and from the cells and tissues in the body.
How does muscle use sugar in resting state vs. working out?
In resting state, muscles primarily use stored glycogen and fats as sources of energy. During this time, the rate of glucose uptake and metabolism by the muscles is relatively low.
The body is able to maintain its energy requirements by metabolizing fats, which are stored in adipose tissue, and glycogen, which is stored in muscle and liver tissue.
During exercise or physical activity, however, the energy requirements of the muscles increase, and the rate of glucose uptake and metabolism by the muscles increases accordingly. This is because glucose is the preferred source of energy for muscle cells during high-intensity activity, such as running or weightlifting.
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Name one of the main physical features of Australia and describe where it is located in the continent?
3. Which part of the digestive system compacts waste and makes vitamin K?
O the pancreas
O the liver
O the colon
O the stomach
Classify the following characteristics as either describing an open circulatory system or a closed circulatory system. Open Circulatory System Closed Circulatory System Blood is always contained within blood Gas exchange occurs in capillary beds vessels Typical of crayfish, insects, and clams Allows for lower hemolymph pressure and velocity Contains fluid called hemolymph Hemolymph is transported to sinuses, where the organs are directly bathed Coeloms are large and well-developed Valves are employed to prevent blood from flowing in the wrong direction Contains a mixture of blood and interstitial fluid called hemolymph Large surface area of capillary beds allows blood to flow slowly. facilitating diffusion Has a slow delivery of oxygen and nutrients
Open Circulatory System:- Blood is always contained within blood vessels
- Gas exchange occurs in sinuses
- Contains fluid called hemolymph
- Hemolymph is transported to sinuses, where the organs are directly bathed
- Coeloms are large and well-developed
- Contains a mixture of blood and interstitial fluid called hemolymph
- Has a slow delivery of oxygen and nutrients
Closed Circulatory System:
- Typical of crayfish, insects, and clams
- Allows for lower hemolymph pressure and velocity
- Valves are employed to prevent blood from flowing in the wrong direction
- Large surface area of capillary beds allows blood to flow slowly, facilitating diffusion
In summary:
The characteristics that describe an open circulatory system are:
- Blood is always contained within blood vessels
- Gas exchange occurs in sinuses
- Contains fluid called hemolymph
- Hemolymph is transported to sinuses, where the organs are directly bathed
- Coeloms are large and well-developed
- Contains a mixture of blood and interstitial fluid called hemolymph
- Has a slow delivery of oxygen and nutrients
The characteristics that describe a closed circulatory system are:
- Typical of crayfish, insects, and clams
- Allows for lower hemolymph pressure and velocity
- Valves are employed to prevent blood from flowing in the wrong direction
- Large surface area of capillary beds allows blood to flow slowly, facilitating diffusion
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What type of transport involves the movement of a substance from high to low concentration directly across the membrane? *
Answer:
Passive Transport
Explanation:
Diffusion is a type of passive transport. Diffusion through a permeable membrane moves a substance from an area of high concentration (extracellular fluid, in this case) down its concentration gradient (into the cytoplasm).
A heterozygous brown hair person is crossed with a homozygous blonde hair person. What are the genotypes and phenotypes of the offspring?
Explain why every cell that is produced from the genetically modified bacterium
will be able to produce insulin.
Answer:
Recombinant DNA is technology scientists developed that made it possible to insert a human gene into the genetic material of a common bacterium. This “recombinant” micro-organism could now produce the protein encoded by the human gene. Scientists build the human insulin gene in the laboratory. Then they remove a loop of bacterial DNA known as a plasmid and insert the human insulin gene into the plasmid. Researchers return the plasmid to the bacteria and put the “recombinant” bacteria in large fermentation tanks. There, the recombinant bacteria use the gene to begin producing human insulin. Scientists harvest the insulin from the bacteria and purify the substance for use as a medicine for people.
Explanation:
→ XCO College Board AP Classroom 2020 Practice Exam 3 MCQ Savanna Sebastia 0000 0000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Question 1 Many species of corals are threatened by the increasing temperatures and decreasing pH of ocean waters. One species, Stylophora pistill has been found to thrive in water that is warmer and has a lower pH than the water that corals typically thrive in Additionally, researchers have found that the tolerance for the new water conditions is heritable. Which of the following statements best explains the changes seen in s pistillata in response to the changing water conditions? (A) The corals' adaptation is an example of natural selection because the tolerance is in response to a changing environment and has a genetic basis The corals'adaptation is an example of the founder effect because the majority of corals do not have a tolerance for warmer water 0 0 0 The corals adaptation is an example of genetic drift because the change was a chance event and not the result of selection in response to environmental change D) The cor'adaptation is an example of adaptive radiation because it has resulted in a wide range of species adapting to the new ocean conditions
The corals' adaptation is an example of natural selection because the tolerance is in response to a changing environment and has a genetic basis. correct option(a).
The ocean (also known as the sea or the world ocean) is a body of salt water that covers roughly 70.8% of the Earth's surface and contains 97% of the water on the planet. An ocean can also refer to any of the enormous bodies of water that comprise the globe ocean.
Five distinct parts of the ocean are identified by distinct names: the Pacific (the biggest), the Atlantic, the Indian, the Southern (Antarctic), and the Arctic (the smallest). Seawater covers 361,000,000 km2 (139,000,000 sq mi) of the Earth. The ocean is the principal component of Earth's hydrosphere, and therefore integral to life on Earth.
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Which is one function of a protein macromolecule?
A. Making up the connective tissue in tendons
B. Cushioning the internal organs of an animal
C. Providing the building instructions for living things
D. Making the leaves of plants waterproof
Answer:
The muscles of the body is entirely made of proteins. They help in the making the connective tissue in the tendons of the body.
Explanation:
A. Making up the connective tissue in tendons
With your group, list at least three possible uses and/or products of the energy absorbed by the oak leaves that did not contribute to the production of biomass
Answer:
heat loss, energy for cellular process: transpiration, other forms of water, oxygen, carbon dioxide loss
Explanation:
The energy received by the Oak leaves which did not contribute to the synthesis of biomass may be used for or produced as heat loss, energy for cellular processes such as transpiration, other forms of water, oxygen, or carbon dioxide loss.
What is Biomass?The material from previously living organisms known as biomass is utilised to produce bioenergy. Examples include wood, wood byproducts, energy crops, agricultural waste, and organic waste from commercial and residential sources. The main biomass energy source nowadays is wood and wood waste.
Renewable organic material from plants and animals is known as biomass. Up until the middle of the 1800s, biomass accounted for the majority of the entire yearly U.S. energy consumption. Biomass is a popular fuel in many nations, particularly for heating and cooking in underdeveloped nations.
Thus, the energy received by the Oak leaves which did not contribute to the synthesis of biomass may be used for or produced as heat loss, energy for cellular processes such as transpiration, other forms of water, oxygen, or carbon dioxide loss.
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These plants have free-living gametophytes and free-living sporophytes. The sporophyte generation is dominant and larger than the gametophyte generation. There is one type of spore, and the gametophyte generation grows outside of the spore wall. Which plant or plants am I describing? (SELECT ALL THAT APPLY) 000000000 Ferns Cycads Selaginella Lycopodium Conifers Ginkgo Hornworts Mosses Angiosperms 3 pts Liverworts
The correct answers are: Ferns, Hornworts, Mosses, and Liverworts.
The plants that fit the given description are:
Ferns: Ferns have free-living gametophytes and free-living sporophytes. The sporophyte generation is dominant and larger than the gametophyte generation. Ferns produce one type of spore, and the gametophyte generation grows outside of the spore wall.Horworts: Hornworts also have free-living gametophytes and free-living sporophytes. The sporophyte generation is dominant and larger than the gametophyte generation. Hornworts produce one type of spore, and the gametophyte generation grows outside of the spore wall.Mosses: Mosses have free-living gametophytes and free-living sporophytes. The sporophyte generation is dominant and larger than the gametophyte generation. Mosses produce one type of spore, and the gametophyte generation grows outside of the spore wall.Liverworts: Liverworts also have free-living gametophytes and free-living sporophytes. The sporophyte generation is dominant and larger than the gametophyte generation. Liverworts produce one type of spore, and the gametophyte generation grows outside of the spore wall.Therefore, the correct answers are: Ferns, Hornworts, Mosses, and Liverworts.
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In a rain forest, it is well known that 61% of water lizards have webbed-feet which provide the ability to walk on water. Furthermore, the gene for possessing webbed-feet is not hereditary and, thus, each water lizard is independent of others. A biologist randomly selects 25 water lizards from the rain forest. Let the random variable X count the number of water lizards out of the 25 who have webbed-feet. (a) State the distribution of the random variable defined above. (b) Compute the probability that exactly 17 of the 25 selected water lizards have webbed-feet. (c) Compute the probability that at least 17 of the 25 selected water lizards have webbed-feet. (d) Compute the mean and standard deviation for the number of water lizards out of 25 who have webbedfeet. Use both to describe the typical number of water lizards out of 25 who have webbed-feet. Report 6. Suppose the number of patients per week that visit a health center follows a Poisson distribution with a rate of 300 patients per week. Let the random variable X count the number of patients that visit the health center during a randomly selected week. (a) State the distribution of the random variable defined above. (b) Compute the probability that exactly 310 patients visit the health center during a randomly selected week. (c) Compute the probability that more than 280 patients visit the health center during a randomly selected week.
The distributions of the random variables in the given scenarios are (a) binomial for the water lizards and (b) Poisson for the health center visits. The probabilities can be calculated using the respective formulas for the corresponding distributions.
(a) The distribution of the random variable X, which counts the number of water lizards out of the 25 selected with webbed feet, follows a binomial distribution.
This is because each lizard can be considered as a Bernoulli trial (success: possessing webbed feet, failure: not possessing webbed feet) with a probability of success (p) equal to 61% or 0.61, and the trials are independent.
(b) To compute the probability that exactly 17 of the 25 selected water lizards have webbed feet, we can use the binomial probability formula.
The probability mass function (PMF) for the binomial distribution is given by P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where C(n, k) represents the number of combinations of n items taken k at a time. Plugging in the values, we have P(X = 17) = C(25, 17) * 0.61^17 * (1-0.61)^(25-17).
(c) To compute the probability that at least 17 of the 25 selected water lizards have webbed feet, we need to calculate the cumulative probability from 17 to 25. This can be done by summing up the probabilities for each value of X from 17 to 25: P(X ≥ 17) = P(X = 17) + P(X = 18) + ... + P(X = 25).
(d) The mean (μ) and standard deviation (σ) for the number of water lizards out of 25 who have webbed feet can be calculated using the formulas for the binomial distribution.
The mean is given by μ = n * p, where n is the number of trials (25) and p is the probability of success (0.61). The standard deviation is given by σ = sqrt(n * p * (1-p)).
Moving on to the second scenario:
(a) The distribution of the random variable X, which counts the number of patients that visit the health center during a randomly selected week, follows a Poisson distribution.
This is because the number of patients per week can be modeled as a Poisson process, where events (patient visits) occur independently and at a constant average rate (300 patients per week).
(b) To compute the probability that exactly 310 patients visit the health center during a randomly selected week, we can use the Poisson probability formula.
The probability mass function (PMF) for the Poisson distribution is given by P(X = k) = (e^(-λ) * λ^k) / k!, where λ is the average rate of the Poisson process (300 patients per week) and k is the number of events we are interested in (310 patients).
(c) To compute the probability that more than 280 patients visit the health center during a randomly selected week, we need to calculate the cumulative probability from 280 to infinity. This can be done by summing up the probabilities for each value of X from 280 to infinity: P(X > 280) = P(X = 281) + P(X = 282) + ... + P(X = ∞).
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