A heron, a large wading bird, is hunting in a pond that contains three types of prey: fish, frogs, and snakes. All three types of prey are abundant and provide the same amount of energy to the heron. The heron has the highest handling time capturing fish, an intermediate handling time capturing snakes, and the lowest handling time capturing frogs. What prey item would foraging theory predict that the heron should catch most frequently

Answers

Answer 1

The preferred prey item would be frogs.

What is optimal foraging theory?

It is a theory in ecology that proposes that predating animals that get the most energy from minimal efforts are favored by natural selection.

In order words, selection forces prefer investing minimum energy in order to extract maximally available energy.

In this case, the heron needs to use the lowest time to harvest the maximum energy possible. Since all the preys offer the same amount of energy, the one that requires the lowest time would be preferable for the heron.

In other words, frogs would be the most preferable prey.

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Related Questions

Fossil fuels are made when....

A. organisms don't fully decompose and become
trapped underground
B. organisms collide at high speeds during
catastrophic events
C. bedrock is liquidated due to shifting tectonic
plates
D. volcanic ash is liquidated under extreme pressure

Answers

Answer:

A

Explanation:

a - What happens when organisms don't decompose? If there were no decomposers, wastes and the remains of dead organisms would pile up and the nutrients within the waste and dead organisms would not be released back into the ecosystem. Producers would not have enough nutrients.

b - What happens when a catastrophic mass extinction occurs? A mass extinction event is when species vanish much faster than they are replaced. This is usually defined as about 75% of the world's species being lost in a 'short' amount of geological time - less than 2.8 million years

c - What does the shifting of tectonic plates cause? At the “seams” where tectonic plates come in contact, the crustal rocks may grind violently against each other, causing earthquakes and volcano eruptions. The relatively fast movement of the tectonic plates under California explains the frequent earthquakes that occur there.

d - Volcanic ash doesn't actually do that.

Now, how do fossil fuels form? After millions of years underground, the compounds that make up plankton and plants turn into fossil fuels. Fossil fuels are formed when the organic matter that has been buried deep within the earth is subject to heat and pressure over millions of years. In both cases, heat and pressure are critical to the formation of fossil fuels.

so your answer is a

hope this helps:)

A ligamentous connection such as an antebrachial interosseous membrane is called a.

Answers

A ligamentous connection such as an antebrachial interosseous membrane is called a syndesmosis.

A fibrous joint called the syndesmosis is held together by ligaments. It is situated between the distal fibula, or outside leg bone, and the tibia, or shinbone, close to the ankle joint. It is also known as the distal tibiofibular syndesmosis for this reason.

syndesmosis is made up of a number of ligaments. The top three are:

Tibiofibular anterior inferior ligamentTibiofibular posterior inferior ligamentArticular cartilage ligamentTibiofibular transverse ligament

The syndesmosis ligament supports and stabilizes your ankle by acting as a shock absorber. Its primary function is to keep the tibia and fibula in line and from extending outward too much.

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VALUE BASED QUESTION (Write in about 50-100 words)
Consider the following two cases: (Please give answer ASAP)

(i) A forest that is rich in biodiversity sees a decline in the animal population and clearing of a large
part of the forest. The Government declared it as a biodiversity hotspot and the forest regained its
species richness in few years.

(ii) A lake that is rich in marine fishes sees a decline in its species population due to over harvesting.
The people living in the area made the lake a sacred grove and started worshipping it. The species
population of the lake again became normal.

Answer the following questions based on the above information:

(i) Which values are being promoted in the above cases?
Case 1:-
Case 2:-

(ii) Suggest some ways in which you can contribute to this concern.
Case 1:-
Case 2:-

(iii) What would have been the effect if the forest was not declared a biodiversity
hotspot?

Answers

The value that can be withdrawn from case 1 is the activeness of the government that takes some crucial steps to maintain the biodiversity of the forests. The value that can be withdrawn from case 2 is the sincerity of native people towards nature who make a lake a sacred grove and start worshipping it in order to maintain the biodiversity of that lake.

What is Biodiversity?

Biodiversity may be defined as the sum total of all the living entities living in a particular area at a given time.

For maintaining the biodiversity of the forest as well as a lake, it is required not to deteriorate the natural ecosystem of those regions by human activities like over grazing, forest fires, over harvesting, industrialization, etc.

If the forest has not been declared a biodiversity hotspot, the time will not be far to announce that a forest becomes a bare area, where no species live, survive, and reproduce naturally.

Therefore, it is well described above.

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digestive tract & ____________________ together constitute the digestive system.

Answers

Answer:

Digestive tract & Accessory glands together constitute the digestive system.

Explanation:

The accessory organs are the teeth, tongue, and glandular organs such as salivary glands, liver, gallbladder, and pancreas.

Robert Hooke first observed cork under a microscope in jail so he named the small cubicles cells

False True

Answers

Robert Hooke first observed cork under a microscope in jail so he named the small cubicles cells is False.

Though "Robert Hooke" was the first person to observe cork under a microscope. He named the small cubicles cells because it used to remind him of the cells in the monastery

What is Robert Hook's discovery?Discovered microscopeDiscovering cells while observing a piece of cork under a microscopeRobert hook is considered the father of cell theoryHe found cell is a small structure and due to his discovery others were able to study more about the cell and explained that the cell is the basic unit of life.

Thus, the answer is false.

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The common health-associated infection seen in an outpatient setting, called mrsa, is caused by which type of bacteria?.

Answers

Methicillin-resistant-staphylococcus-aureus (MRSA) infection is caused by the bacteria called staphylococcus aureus, which leads to skin infections in mild form and respiratory diseases in severe form.

Hospital-Acquired MRSA – is associated with infections that are caused due to exposure to hospital or nursing home environments.The infection can be caught through direct contact or contaminated hands. Sometimes touching used surgical instruments or infected bedsheets can also pass on the infection leading to severe pneumonia or blood infections. Hence, people hospitalized for longer durations, live in nursing homes, or visit hospitals regularly without protection are prone to get a staph infection.Hospital acquired MRSA often causes severe symptoms compared to community-acquired MRSA due to prolonged exposure to bacteria.

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Read the scenarios below. For each of the scenarios, identify the following (you should identify the 3 for EACH of the scenarios):

Control Group Independent Variable Dependent Variable

A. John thinks that a special juice will increase the productivity of workers. He creates two groups of 50 workers each and assigns each group the same task (in this case, they're supposed to staple a set of papers). Group A is given the special juice to drink while they work. Group B is not given the special juice. After an hour, John counts how many stacks of papers each group has made. Group A made 1,587 stacks, Group B made 2,113 stacks.

Answers

The following were required;

Dependent Variable - productivity of workersIndependent Variable -  drinking the special juiceControl group -  Group BWhat is a variable?

A variable is a measurable quantity that changes in an experiment. The variable that is manipulated in the experiment is called the independent variable.

Now these are the variables that are involved in this experiment:

Dependent Variable - productivity of workersIndependent Variable -  drinking the special juiceControl group -  Group B

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Dihybrid crosses
???​

Answers

Answer:

The answer is 25% tall/green, 25% tall/white, 25% short/green and 25% short/white

Hope it helps!

Which of the following is NOT one of the 3 major areas of society affected by science?

Answers

1. write about the natural resources of ethiopia and why we need to take of them

What will most likely happen if a person does not consume the minimum daily requirement of carbohydrates?

Answers

If a person does not consume the minimum daily requirement of carbohydrates then the body will use stored glycogen and the person will look unhealthy and become weak after some time.

Importance of carbohydrates: Like other nutrients, carbohydrates are also very essential for various functions of the body. Carbohydrates such as glucose are required for instant energy and day-to-day activities. If there is no or less amount of carbohydrate in the body then our body will start converting the glycogen that is stored in the liver into glucose. After some time, the person will start to appear unhealthy, thin and weak if there is no minimum daily requirement of carbohydrates is met.

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Carbon dioxide released during ATP synthesis is being transported from our tissues back to the lungs, some of it is dissolved in plasma, the rest is converted and transported as other substances. Most of the carbon dioxide is converted into ______.

Answers

Answer:

HCO3

Explanation:

Human beings have a long period of development, requiring nurturance and protection for many years. What would evolutionary theorists argue about this long period of relative immaturity?

Answers

There argument would be that It is a necessity because a long period of adaptation is needed for acquiring physical and cognitive competencies.

Who are the evolutionary theorists?

Evolutionary theorists are those scientist in the field of psychology that studied the long term discoveries about the development of human beings from generation to generation.

They where able to discover that human beings have a long term period of development requiring nurturance and protection for many years.

This was so because such a long period of time is needed for them to acquire both physical and cognitive competencies.

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how many daughter cells are formed after meiotic division

Answers

Answer:

four daughter cells

Explanation:

The process results in four daughter cells that are haploid, which means they contain half the number of chromosomes of the diploid parent cell. Meiosis has both similarities to and differences from mitosis, which is a cell division process in which a parent cell produces two identical daughter cells.

The pH is a measure of the concentration of the hydrogen ion (H+) in water. Highly acidic water has a very high H+ concentration, while basic water has very low H+ concentrations. The pH scale is a logarithmic scale, such that a difference of one pH unit means a 10-fold difference in H+ concentration. The mathematical relationship between pH and H+ concentration ([H+]) is

pH = –log [H+] OR [H+] = 10-pH where [H+] is in moles per liter.

Use a scientific calculator to calculate [H+] for the following pH values:

7 (a neutral solution)

5.6 (unpolluted rainwater)

3.7 (first acid rain sample in North America)

How many times higher is the concentration of H+ in the Hubbard Brook sample than in unpolluted rainwater?

Answers

The hydrogen ion concentration of the following pH samples is as follows:

7 (a neutral solution) = 0.8455.6 (unpolluted rainwater) = 0.7483.7 (first acid rain sample in North America) = 0.568

How to calculate hydrogen ion concentration (H+)?

The pH is a measure of the concentration of the hydrogen ion (H+) in water. This means that a relationship exists between H+ and pH of a solution.

The mathematical relationship between pH and H+ concentration ([H+]) is as follows:

pH = –log [H+]

This means that the hydrogen ion concentration (H+) of the following pH values can be calculated thus:

log 7 (a neutral solution) = 0.845log 5.6 (unpolluted rainwater) = 0.748log 3.7 (first acid rain sample in North America) = 0.568

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Which of the following is the definition for speciation?
an inherited or learned trait that increases an organism's chance of survival in its environment
O the evolutionary process through which new species emerge
O a process by which organisms well suited to their environment tend to pass their traits onto offspring
O a process by which one of the extreme variations of a trait is favored

Answers

ANSWER:

I think it is the first one

Explanation:

Speciation is the process in which new species are created through evolution. I might be wrong though.

the evolutionary process through which new species emerge

how do technology helped to support the theory of evolution?

Answers

There was a time when we were very physically active, but now we rely on devices to do most of our work. The changes in our behavioral patterns and adaptations that are caused by these technological advances could prove to be the primary driving forces behind the next stage of evolution for our species.

What were land bridges used as an explanation for?
A. Tidal forces
B. Mesosaurus fossils
C. Seafloor spreading
D. Magnetic striping on the ocean floor
SUB

Answers

The answer is b I hope this helps
The answer would be B! I hope this helps you! :)

Having curved or straight thumbs is thought to be a Mendelian trait, and the
straight allele is thought by many geneticists to be dominant. Assuming this is
correct, how would you expect the thumbs of someone with two curved-thumb
alleles to look?

Answers

Answer:

considering the straight allele is dominant then the curved thumb allele must be recessive. so,if someone has two recessive alleles they will express that characteristic. Therefore, the person's thumbs would be curved

a ________ blot is used to identify specific sequences of dna on a membrane, whereas a ________ blot is used to identify specific sequences of rna on a membrane.

Answers

A Southern blot is used to identify specific sequences of DNA on a membrane, whereas a Northern blot is used to identify sequences of RNA on a membrane.

What is Southern blot?

Southern blot is a technique widely used in molecular biology laboratories to identify DNA in a blood/tissue sample.

Moreover, the Northern blot is a hybridization technique widely used to identify RNA in a blood/tissue sample.

In conclusion, a Southern blot is used to identify specific sequences of DNA on a membrane, whereas a Northern blot is used to identify sequences of RNA on a membrane.

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Groundwater Activity: Properties of Water Lab Report
Introduction
Water is an essential part of processes on Earth. In this lab, you will investigate the properties of water and explain how they affect Earth material and surface processes.
Investigative Phenomenon:
What are the connections between the properties of water and their effects on Earth materials and surface processes?
Materials:
• water
• stopwatch
• a clean penny
• food coloring
• vegetable oil
• clear plastic cups
• dropper or pipette
• ice cube
• black pepper
• a bowl
• dish soap
• sponge or cloth
• a heating source (sunlight, lamp, etc.) or a cooling source (refrigerator)
• one balloon
• measuring tape or string and a ruler
• thermometer

Activity One: Investigating Cohesion
Cohesion is the ability of molecules to bind together. One way to test this is by investigating how the droplets of a particular liquid stick together compared to other liquids. Use the materials you have to determine water’s relative cohesion on a particular surface.
Describe the plan you will follow to determine this:



Record your data and observations:


Phenomena Reflective Question: How does the cohesive property of water come into play with it interacts with Earth materials?

Activity Two: Investigating Surface Tension
Surface tension is a property of a liquid that allows the surface to resist force. This means the surface of a liquid resists the weight of objects.
Procedures:
1. Fill a bowl ¾ full with tap water.
2. Sprinkle about a teaspoon of ground black pepper in the bowl. DO NOT STIR! Observe what happens to the black pepper.
3. Gently place your finger into the water and observe what happens.
4. Put two drops of dish soap on your finger. Gently use your finger to touch the surface of the water and observe what happens.
Data and observations:
Observations
Black pepper in water

Touching water without soap
Touching water with soap


Phenomena Reflective Question: How does the surface tension of water allow for it to interact with Earth materials?







Activity Three: Investigating Solubility
A liquid is polar, which means a substance can easily dissolve in it. How can you test water’s polarity compared to other substances? To measure solubility, it is necessary to compare initial and final results using your visual observations.

Describe the plan you will follow to determine this:







Record your data and observations: Add food coloring to each liquid. Observe each reaction and record your observations in the table below.

Time Water Vegetable Oil
0 seconds
5 seconds
10 seconds
15 seconds
20 seconds

Phenomena Reflective Question: Explain why water is called a universal solvent. How does this polarity allow for water to interact with Earth materials?



Activity Four: Investigating Specific Heat Capacity
Specific heat is the amount of heat energy needed to change the temperature of 1 gram of the substance one degree Celsius. Some objects' specific heat allows them to heat up or cool down faster than others of equal mass. How can you compare water’s specific heat to other substances? How does the specific heat of water affect how other objects, such as a damp cloth, warm up or cool down? To measure specific heat, it is necessary to compare initial and final results.

Describe the plan you will follow to determine this:





Record your data and observations: Observe the temperature of the damp sponge/cloth after being placed under a heat source. Caution: do not set the damp sponge or cloth to close to the heat source. Record your observations.
Time Damp Sponge/Cloth
0 seconds
5 seconds
10 seconds
15 seconds
20 seconds

Phenomena Reflective Question: How does water’s specific heat capacity come into play when it interacts with Earth materials or affect surface processes?



Activity Five: Investigating Expansion and Density
Density of an object can be found by calculating mass divided by volume. If two objects have the same mass, but one has a greater volume, the object with more volume is less dense. Does water’s density change when it is frozen?
Describe the plan you will follow to determine this:





Record your data and observations:





Phenomenon Reflective Question: Did the density of water change when it changed from solid to liquid? How do you think the density of water has an effect on Earth materials and surface processes?









Evaluating the Design:
Part of an investigation is to evaluation how well your investigation gave you the data you needed. In this report, include the following:
1. an evaluation of the plan you made for the various activities and how the data was collected
2. a description of how well the data allowed you to infer the effect of water on materials and processes in the world
3. a description of how to further investigate the effects of water and collect more accurate and precise data

Answers

Answer:

Explanation:

Both Groundwater and surface water are largely replenished by rain water.

Why do calculations of recombination frequencies between loci that are far apart on chromosomes underestimate the true genetic distance between the loci?.

Answers

This is the complete question

A. Recombination frequencies cannot exceed 50% and asymptotically approach 50% as the distance between genes increases because only one crossover can occur per chromosome. B. As the distance between loci increases, some multiple crossovers go undetected such that the relationship between recombination frequency and map distance ceases to be linear. C.Loci that are far apart on a chromosome often recombine to produce combinations of alleles that result in a lethal phenotype and such recombinants are not recovered or identified. D. Loci that are far apart on a chromosome are often susceptible to a form of chromatic interference that results in reduced crossing over, and this interference does not occur for loci that are closer together. E. If two crossovers occur between two loci, then only nonrecombinant gametes are produced; therefore, recombination frequencies actually begin to decrease for more distant pairs of genes.

As the distance between loci increases, some multiple crossovers go undetected such that the relationship between recombination frequency and map distance ceases to be linear.  Thus, option "B" is correct.

How, explain your answer briefly?

When calculating recombination frequencies, and hence, map distances, we might notice that these distances are not completely additive. They might vary. For example, let us say that we have three genes, A, B, and C, in that order. We calculated that the distance between A and B equals 5.9 MU and that B and C are 19.5 MU apart. According to this, we might say that the total distance between A and C is 25.4 MU (5.9 + 19.5). However, after a two-point calculation between A and C, the value equals 23.7 MU.

The recombination frequency between these two genes located in the extremes and far apart underestimates the actual genetic distances between them because there might occur other crossing-overs that were not detected. This is when calculating the distance between A and C, we probably will not detect the occurrence of a double recombinant between them, and hence, we might sub-estimate the real distance.

The relationship between the actual map distance (number of crossing overs) and the recombination frequency between two loci, is not lineal. The farther apart are the two genes, the worse is the distance estimation.

Thus, option "B" is correct.

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The people represented by the Denisova fossils likely Group of answer choices were isolated to the point of extinction. looked very much like Neandertals. share a common ancestor with Neandertals. interbred with Homo erectus.

Answers

The people represented by the Denisova fossils likely share a common ancestor with Neandertals. The correct option is c.

What are Denisova fossils?

So far, there is little physical evidence of the Denisovans' existence. A finger bone, teeth, and skull fragment from a Siberian cave, as well as a lower jawbone from a Chinese cave on the Tibetan plateau, have been discovered so far.

The people represented by the Denisova fossils likely share a common ancestor with Neandertals.

Thus, the correct option is c.

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Are humans likely affected by biomagnification? if so, which foods might be dangerous?

Answers

Biomagnification or biological magnification is the process of accumulation of certain chemicals in living organisms to a concentration higher than that occurring in the inorganic, non-living environment.”

Human beings occupies the top place of most trophic level and we know that concentration of harmful chemicals increase as we go above the trophic level. Therefore human beings are most adversely affected by biological magnification.

Humans may also be affected due to the consumption of fish and shellfish.

Select the correct number on the image.
This map shows the amount of soil moisture (SM), which is an indicator of water availability for people living in that region. Based on the data from map, which region has the maximum risk of a water shortage?

Answers

Based on the data from map, region 4 has the maximum risk of a water shortage

What are the effects of water shortage?

Three effects that water shortage has on a region is that farming is harder to do because the planets will die without water and then we can't get food. People also don't have drinking water or water.

Another effect is that people can't use water for everyday necessities like keeping clean.

Thus, region 4 has the maximum risk of a water shortage.

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answer :)

Harry is studying four surface features of Florida. He classifies the surface features and places them in different columns of a chart as shown below.



Surface Features

Column 1 Column 2

Sinkhole Hot springs

Caverns Geysers


Which of these titles best represents Column 2 of Harry's chart?

formed by freezing groundwater

formed by heating groundwater

formed by evaporation of groundwater

formed by chemical action of groundwater

Answers

The title that best represents Column 2 of Harry's chart is B. formed by heating groundwater

What is a Hot Spring?

This refers to the geothermally heated groundwater that is formed on the surface of the earth.

Hence, we can see that from Column 2 of Harry's chart, there is the presence of Hot springs and Geysers which are both formed by heating groundwater and option B is correct.

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Answer:b

Explanation:took a test

When your body goes into fight-or-flight mode, what happens to the oxygen that is in your brain?.

Answers

Answer:

Fight or flight

The amygdala activates this fight-or-flight response without any initiative from you. When that part of your brain senses danger, it signals your brain to pump stress hormones, preparing your body to either fight for survival or to flee to safety.

The genotype for being a red flower is RR, and the genotype for being a white flower is WW. If the colour of the flower is an example of incomplete dominance, use Punnet squares to show the ratio of the phenotypes in the F1 and F2 generations if you cross a red and a white flower.

Answers

Answer:

Explanation:

The F[tex]_1[/tex] and F[tex]_2[/tex] Generations are drawn in Punnett squares below. Please excuse the messy drawings.

Ratios:

F1 Generation:

RW - Red and White Cross - 4/4 = 100%

F2 Generation:

RR - Red only - 1/4 = 25%

RW - Red and White Cross - 2/4 = 50%

WW - White only - 1/4 = 25%

what is meant by afterglow?​

Answers

Answer:

A light or radiance remaining in the sky after the sun has set.

Explanation:

: a glow remaining where a light has disappeared. 2 : a pleasant effect or feeling that lingers after something is done, experienced, or achieved basking in the afterglow of success.

Which of the following correctly compares Kinetic and Potential Energy?
Select one:
O a. Potential energy is stored energy and kinetic energy is the energy of motion.
O b. Kinetic energy is stored energy and potential energy is the energy of motion.
Potential energy is always zero.
Oc.
Od. Kinetic energy is always higher than potential energy.

Answers

hi :)

the answer is a. potential energy is stored energy and kinetic energy is the energy of motion.

hope this helps.

Describe the inner lining of the stomach.

Answers

The inner lining of the stomach is made up of a substance called gastric mucosa. Details about inner lining of the stomach can be found below.

What makes up the inner lining of the stomach?

The stomach is an organ in animals that stores food in the process of digestion.

The inner surface of the stomach is lined by a mucous membrane known as the gastric mucosa.

The stomach also posseses protective layer that defends the stomach against being digested by its own protein-degrading enzymes.

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Other Questions
16 Let f(x) and g ) are function such that f () = x+5 and g(x) x+4, what is domain of f(x)+g(x)? Please help!!! Thanks so much a and b are positive integers and 7a+ 5b= 49. Find the values of a and b.3.1 What is a?2 What is b? Which key details belong in an objective summary of Black Boy?Select Yes or No for each detail.Details Yes NoWrights mother puts unnecessary pressure on her young sons to grow up quickly after her husband leaves the family. Yes Wrights mother puts unnecessary pressure on her young sons to grow up quickly after her husband leaves the family.No Wrights mother puts unnecessary pressure on her young sons to grow up quickly after her husband leaves the family.Wrights father disappears and the family are forced to adjust to a new way of life. Yes Wrights father disappears and the family are forced to adjust to a new way of life.No Wrights father disappears and the family are forced to adjust to a new way of life.When Wrights mother leaves the home to work, her sons must learn to be responsible for themselves. Yes When Wrights mother leaves the home to work, her sons must learn to be responsible for themselves.No When Wrights mother leaves the home to work, her sons must learn to be responsible for themselves.Wright is beaten and robbed by several boys in the neighborhood when he goes grocery shopping. Yes Wright is beaten and robbed by several boys in the neighborhood when he goes grocery shopping.No Wright is beaten and robbed by several boys in the neighborhood when he goes grocery shopping.Wrights mother will not allow him in the house without the groceries, so he must confront those who attack him. What plant part is most like a spore Question 2 of 25What is the term for a pair of forces described by Newton's third law?A.Normal-friction pairB.Action-reaction pairC.Kinetic-static pairD.Inertia-movement pair Combine the radicals 47 + 328 abortion is wrong because all human life is sacred Select ALL the correct answers.In what three ways did globalization affect Americans in the 1990s?It increased the gap between wealthy and poor individuals.It raised concerns that Americans might lose their jobs to foreign workers.It reduced the variety and selection of foreign goods in the United States.It allowed Americans to buy foreign goods at cheaper prices.It resulted in foreign investment opportunities for entrepreneurs. Y = 3x + 10Y = 2x - 8find the substitution Show your work please ill give brainlyest What is the measure of Which statement best explains why the evidence provided in the text is a fallacy?The speaker uses anecdotal evidence with phrases like back on the right track.The speaker uses a bandwagon statement by complaining that other nations prosper.The speaker uses an ad hominem argument by attacking an opponents honesty.The speaker uses a false dilemma by claiming to have the ideal plan. the table shows the length of time in hours ,some children spent watching tv last week Prior to the attack on pearl harbor, how did japan know which ships they needed to attack? write the categories of classification in hierarchical sequence Help me please, geometry 1) Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 5 inches.a) What is the probability that an 18-year-old man selected at random is between 70 and 72 inches tall? (Round your answer to four decimal places.)b) If a random sample of twenty-six 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches? (Round your answer to four decimal places.)c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?!) The probability in part (b) is much higher because the mean is larger for the x distribution.!!) The probability in part (b) is much lower because the standard deviation is smaller for the x distribution. !!!) The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.!!!!) The probability in part (b) is much higher because the mean is smaller for the x distribution. !!!!!) The probability in part (b) is much higher because the standard deviation is larger for the x distribution.2) Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12 hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean = 66 and estimated standard deviation = 45. A test result x < 40 is an indication of severe excess insulin, and medication is usually prescribed.a) What is the probability that, on a single test, x < 40? (Round your answer to four decimal places.)b) Suppose a doctor uses the average x for two tests taken about a week apart. What can we say about the probability distribution of x? Hint: See Theorem 6.1.!) The probability distribution of x is approximately normal with x = 66 and x = 45.!!) The probability distribution of x is approximately normal with x = 66 and x = 22.50. !!!) The probability distribution of x is approximately normal with x = 66 and x = 31.82.!!!!) The probability distribution of x is not normal.c) What is the probability that x < 40? (Round your answer to four decimal places.)d) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)e) Repeat part (b) for n = 5 tests taken a week apart. (Round your answer to four decimal places.)f) Compare your answers to parts (a), (b), (c), and (d). Did the probabilities decrease as n increased?YesNOg) Explain what this might imply if you were a doctor or a nurse.!) The more tests a patient completes, the weaker is the evidence for lack of insulin.!!) The more tests a patient completes, the stronger is the evidence for lack of insulin. !!!) The more tests a patient completes, the weaker is the evidence for excess insulin.!!!!) The more tests a patient completes, the stronger is the evidence for excess insulin. Francis bacon created a new way of scientific thinking called inductive reasoning. How was this different from the deductive reasoning of earlier eras?. Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of yarn cost $28. what is the constant of proportionality in this direct variation? Which of the following is the graph of y = -2x-3+2?