Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve. Let the random variable w represent the number of worms found in 1 square foot of soil, and let the random variable g represent the number of grubs found in 1 square foot of soil. The following tables show the probability distributions developed by the biologists for w and g.

Answers

Answer 1

Note that using the discrete distributions, it is found that the mean and standard deviation are given by: μ=5.28 and σ=1.67 (Option C)

What is Discrete Distribution?

A discrete distribution has data that can only take on particular values, such as integers. A continuous distribution is one in which data can have any value within a certain range (which may be infinite).

Not that:

The total of all outcomes multiplied by their relative probability yields the mean of a discrete distribution.The variance is calculated by multiplying the total of the differences squared between each event and the mean by their corresponding probabilities.The mean is the total of the means when two variables are joined, whereas the standard deviation is the square root of the sum of the variances.

The computation is given as follows:

For Worms:

E[tex]_{w}[/tex] (X) = 0.05(0) + 0.06(1) + 0.18(2) + 0.35 (3) + 0.3(4)  0.05 (5) + 0.01 (6)

= 2.98

Var[tex]_{w}[/tex] (X) = 0.05 (0-2.98)² + 0.06 (1-2.98)² + 0.18(2-2.98)² + 0.35 (3-2.98)² + 0.3(4-2.98)² + 0.05 (5-2.98)² + 0.01 (6-2.98)²

= 1.4596

For Grubs:

E[tex]_{g}[/tex] (X) = 0.05(0) + 0.21(1) + 0.27(2) + 0.38(3) + 0.05(4) + 0.03(5) + 0.01 (6)

= 2.3

Var[tex]_{g}[/tex] (X) = 0.05 (0-2.3)² + 0.21(1-2.3)² + 0.27(2-2.3)² + 0.38(3 - 2.3)² + 0.05(4-2.3)² + 0.03(5-2.3)² + 0.01 (6-2.3)²

= 1.33

The sum, therefore, is given as:

E (X) = E[tex]_{w}[/tex] (X) + E[tex]_{g}[/tex] (X)

= 2.98 + 2.3

μ = 5.28

σ = √ (Var[tex]_{w}[/tex] + (Var[tex]_{g}[/tex] (X)

= √ (1.4596 + 1.33)

= √2.7896

= 1.67020956769

σ  [tex]\approx[/tex] 1.67

Hence, it is correct to state that in the discrete distributions - mean and standard deviation are given by: μ=5.28 and σ=1.67 (Option C).

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Full Question:

Biologists are analyzing soil to check for the number of worms and grubs in a wildlife preserve. Let the random variable W represent the number of worms found in 1 square foot of soil, and let the random variable G represent the number of grubs found in 1 square foot of soil. The following tables show the probability distributions developed by the biologists for W and G.

W 0 1 2 3 4 5 6

Probability 0.05 0.06 0.18 0.35 0.30 0.05 0.01

G 0 1 2 3 4 5 6

Probability 0.05 0.21 0.27 0.38 0.05 0.03 0.01

Assume that the distributions of worms and grubs are independent. What are the mean, μ, and standard deviation, σ, for the total number of worms and grubs in 1 square foot of soil?

A) μ=5 and σ=1.67

B) μ=5 and σ=2.36

C) μ=5.28 and σ=1.67

D) μ=5.28 and σ=2.36

E) μ=5.28 and σ=2.79


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Answer:

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Answer: Can you add the image?

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Periodic Table Coloring Activity-15 pts
5) If two atoms are in the same group they will have_ properties. If two atoms are in the
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properties.
6) As you go from right to left, metallic properties_
nonmetallic properties,
and
properties.
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Answers

decreases

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As we move up the periodic table, fewer shells are present, making it more challenging for an atom to lose electrons.

Because of this, the metallic character gets weaker as you move up a group. As a result, choice three is right.

In a periodic table, the tendency to gain electrons decreases as we move from left to right. The metallic character fades over a period of time as it moves from left to right.

It is the periodic chart that

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species that undergo sexual selection often have males and females that differ dramatically in phenotype, a phenomenon called sexual dimorphism. since sexual dimorphism is a result of selection for the two extremes of a phenotypic trait, what pattern of selection is this?

Answers

Option A disruptive is the correct answer. This pattern of selection is disruptive because it favours the two extremes of a phenotypic characteristic, which results in sexual dimorphism.

Sexual dimorphism is the systematic shape difference between individuals of different sexes within the same species. For instance, the male in some species, such as many animals, is bigger than the female. The female of some species, like some spiders, is larger than the male. This sexual dimorphism has been noted in early development studies, childhood, adolescence, and maturity. On average, males' total brain size is around 8%–15% greater than females' (uncorrected for body size).

As a result, we can conclude that Option A disruptive is the best choice. Sexual dimorphism results from selection toward the two extremes of a phenotypic characteristic, hence this pattern of selection is disruptive.

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Complete Question:

Species that undergo sexual selection often have males and females that differ dramatically in phenotype, a phenomenon called sexual dimorphism. Since sexual dimorphism is a result of selection for the two extremes of a phenotypic trait, what pattern of selection is this?

Choose one:

A.disruptive

B.stabilizing

C.directional

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Considering simple diffusion FD and AT process requires a concentration gradient of the transported molecule%

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Adults are best identified using teeth and long bones.

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The truth about the use of bones to solve crimes is that long bones are measured in length and circumference. That is option D.

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There are different types of bones which include the following:

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The long bones of human being can be measured in length and circumference which is an advantage against that of animals and can serve as solution in a crime scene.

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Krebs, digestive and respiratory system 40 points!!!!!

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One molecule of glucose and two molecules of ATP are the reactants of glycolysis, the first stage of cellular respiration (adenosine triphosphate). The energy needed for the reaction to happen is provided by the ATP molecules.

What particular byproducts result from the process of glycolysis?

Pyruvate is the end product of glycolysis under aerobic conditions, and lactate under anaerobic conditions. In order to create more energy, pyruvate enters the Krebs cycle.

What is the name of the glycolysis process?

Glycolysis is the initial phase of cellular respiration, which occurs in all living things. During aerobic respiration, glycolysis is followed by the Krebs cycle. As fermentation comes after glycolysis, a small quantity of ATP is created by the cells in the absence of oxygen.

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Many massive stars end their life cycles as black holes. Why do astronomers not believe the sun will end its life cycle as a black hole?
1. It is not massive enough.
2. It is much too hot.
3. It is much too hot.
4. It is not a binary star.
Which accurately describes coral reefs? Select the three correct answers.(2 points)
1. Coral reefs often are located in nutrient-poor waters.
2. Coral reef ecosystems have low biodiversity.
3. Coral reef ecosystems are among the most biodiverse on Earth.
4. Coral reefs are sturdy structures that can exist for thousands of years.
5. Coral reefs are delicate structures that usually exist for less than 10 years.
6. Coral reefs often are located in nutrient-rich waters.

Answers

Answer: 1,4,5

Explanation:

Stars have a certain life period after that they will lost their heat and light and will end as a black hole. Some astronomers believe that, sun does not changes to a black hole because, sun is not so huge in comparison with other massive stars.

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Supernova is a state of stars at which they loss heat and light energy and turns into a black hole or white dwarf. Thus, in fact  a dead star is called a supernova.

Every stars including sun has a life period upto which they can be bright and hot. But some astronomers believe that sun cannot having a super nova state because sun is not that much hot and massive like other stars.

Coral reefs are ecosystems have low biodiversity. They are sturdy structures that can exist for thousands of years. Coral reefs often are located in nutrient-rich waters.

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here is a portion of a hypothetical dna sequence: 3' t t c g a a c c g a g 5' suppose this sequence is part of the template strand of a gene. the sequence of the rna transcript produced from this part of the gene would be:

Answers

Answer:

sequence of the RNA transcript produced from this part of the gene would be:

5' A A G C U U G G C U C 3'

Explanation:

The RNA transcript is produced by transcribing the DNA sequence into RNA using the enzyme RNA polymerase. During transcription, RNA polymerase reads the DNA sequence and uses it as a template to synthesize the complementary RNA sequence. Because RNA is single-stranded and DNA is double-stranded, the RNA transcript is complementary to the non-template strand of the DNA, not the template strand.

In the given DNA sequence, the non-template strand would be:

3' A A C G T T G G C T G 5'

The RNA transcript is produced by transcribing this non-template strand, so the resulting RNA sequence would be the complementary sequence:

5' A A G C U U G G C U C 3'

This RNA transcript would be the sequence of the RNA produced from the given DNA sequence.

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Answers

Carbohydrates are made up of monosaccharides, which are simple sugars such as glucose. When two or more monosaccharides are joined together, they form a disaccharide or a polysaccharide. Polysaccharides are long chains of monosaccharides that are joined together by glycosidic bonds.

In order to break apart a carbohydrate made of 27 glucose monomers, you would need to hydrolyze the glycosidic bonds that hold the monomers together. Hydrolysis is the process of breaking a chemical bond by adding water molecules. For each glycosidic bond that you want to break, you would need to add one water molecule.

Since a carbohydrate made of 27 glucose monomers would have 26 glycosidic bonds (one less than the number of monomers), you would need to add 26 water molecules to break it apart. This is because each water molecule would be used to hydrolyze one of the 26 glycosidic bonds in the carbohydrate.

It's worth noting that the number of water molecules needed to break apart a carbohydrate would depend on the length of the carbohydrate and the type of glycosidic bonds it contains. For example, a carbohydrate with more monomers or with different types of glycosidic bonds might require more water molecules to be hydrolyzed.

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A food worker has just rinsed a dish after cleaning it.
What should he do next?
a. Scrub the dish
b. Air-dry the dish
c. Sanitize the dish
d. Put soap on the dish

Answers

Answer:

C. Sanitize the dish

Explanation:

Sanitizing the dish helps to kill any remaining bacteria or other pathogens that may be present on the dish, which can help to prevent food-borne illness.

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Answers

the two long strands that form a spiral is called a double helix

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4. when coal is burned to make electricity it produces sulfur when the sulfur combines with rain to make sulfuric acids it is called _________

Answers

As you travel up through the atmosphere it gets colder and colder the rate at which it gets colder is called the "lapse rate" and it is about 6.5°C per km of altitude.

2. The less atmosphere over our heads, the "thinner" the lower the atmospheric pressure.

3. The atmosphere weighs about 1.2 kg per cubic centimeter. The atmosphere keeps the earth warm when light from the sun is reflected back from the earth as heat and trapped in the atmosphere it is called the "greenhouse effect."

3. "Photochemical smog" occurs when sunlight reacts with chemicals from car exhaust.

4. When coal is burned to make electricity it produces sulfur. When the sulfur combines with rain to make sulfuric acids it is called "acid rain."

What is lapse rate?

The lapse rate is the rate at which the temperature of the atmosphere decreases with an increase in altitude. It is usually expressed in degrees Celsius per kilometer of altitude.

The lapse rate is important because it determines how the temperature of the atmosphere changes with altitude, which in turn affects the formation of clouds and precipitation. The average lapse rate in the Earth's lower atmosphere is about 6.5°C per kilometer of altitude, but it can vary depending on local weather conditions and other factors.

Therefore, In general, the lapse rate decreases with an increase in humidity and the presence of clouds, and it increases with a decrease in humidity and the absence of clouds.

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