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Answer:
a) The graph of a normal curve with a mean of 64" and a standard deviation of 3.5" is a bell-shaped curve with its
maximum value at x = 64.
Important points:
mean - 3 deviations: 64 - 3(3.5) = 64 - 10.5 = 53.5
mean - 2 deviations: 64 - 2(3.5) = 64 - 7 = 57
mean - 1 deviation: 64 - 3.5 = 60.5
mean: = 64
mean + 1 deviation: 64 + 3.5 = 67.5
mean + 2 deviations: 64 + 2(3.5) = 64 + 7 = 71
mean + 3 deviations: 64 + 3(3.5) = 64 + 10.5 = 74.5
b) If there are 3000 plants, approximately how many will be taller than 71"?
71" is 2 standard deviations above the mean. The region between two standard deviations below the mean and two standard deviations holds approximately 95% of the plants.
Therefore there will be approximately 5% of the plants divided equally between being taller than two standard
deviations above the mean and being shorter than two standard deviations below the mean. Thus, there will be
approximately 2.5% of the plants taller than 71": 0.025 x 3000 = 75 plants.
Heather receives a phone call, in which an automated voice states that her credit card has been used fraudulently and that she must enter her 16-digit credit card number, using the keypad of her phone, to clear up the error. what should heather do next?
The next step which Heather should take is; to hang up and call her credit card company using the 1-800 number on the back of her card.
What is the position of the Character in the Passage?From the story, we can see that Heather was a target of an attempted phone fraud whereby callers asked her to give her 16-digit credit card details such that the supposed error could be cleared up.
Now, It is pertinent to note that this information can be used to steal money from her checking account and Heather would best not give out such sensitive details over the phone, but call the company to see if the call was really from them.
Thus, the next step which Heather should take after she has gotten a fraudulent call asking for her credit card details is to hang up and call her credit card company using the 1-800 number on the back of her card to inquire about the issue or report the attempted phone fraud.
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The main difference between ponds and lakes is that ponds brainly
Answer:
A body of water is called a pond when it is small and enclosed, while a lake is large and open. There are many lakes in the world, even though there are more ponds than lakes
Explanation:
How will the decrease in the raccoon population affect the other populations?
In tintern abbey who accompanies the speaker in the poem
The person who accompanies the speaker in the poem titled Tintern Abbey is found to be; His Sister
Who is the companion of the speaker in the poem?
The full title of the poem was "Lines Composed a Few Miles Above Tintern Abbey," written by In William Wordsworth's .
In the poem, we see that the speaker is visiting a place he has seen once before. However, this time, he sees it in a different way and as such the speaker is now able to stop and appreciate the natural beauty right before his eyes.
Finally wee see that his companion is his sister because he said the following;
"For thou art with me here upon the banks
.......May I behold in thee what I was once,
My dear, dear Sister!"
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Describe how homer develops odysseus's character throughout the passage. then analyze how his characterization of odysseus affects the way the audience relates to the character. be sure to use specific details from the text to support your ideas.
The description and analysis of how homer develops odysseus's character throughout the passage is; As detailed below
Describe the Character in the passage excerpt?In the given excerpt, we see that Homer portrays Odysseus as a kind of guy with both brains and brands.
Now, Odysseus is further described as being both physically adept as well as very intelligent and good with quick thinking in high pressure situations. However, Odysseus could sometimes be very foolish.
An example of Odysseus foolishness was when he taunted the Cyclops Pholyfemus. Thus, Odysseus is a very likeable character that people can easily relate to.
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What are the two major categories of leadership styles?
Answer:
instrumental and expressive
Explanation:
Brainstorm a way to make a dangerous sport less dangerous
Chan is conducting research about how to become a successful video blogger, or vlogger. which source is the most relevant to his topic?
The source that is most relevant to his topic is an article titled “Six Steps to Creating a Successful Vlog Channel.
Who is a video blogger?A video blog known as vlog is often described as a blog done that is said to be made up of a lot of videos that can help one regarding an issue of concern,
Conclusively, By Chan looking at a video or any article that is titled “Six Steps to Creating a Successful Vlog Channel, he can be able to follow the steps and start is own vlog.
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In a criminal case, the state’s case is represented by the _____.
Answer:
C - prosecutor
Explanation:
took the test edge 2022
A heavy lab cart moves with kinetic energy kinit on a track and collides with a lighter lab cart that is initially at rest. the carts bounce off each other but the collision is not perfectly elastic, causing the two-cart system to lose kinetic energy klost . a student wonders if the fraction of kinetic energy lost from the two-cart system during the collision depends on the speed of the first cart before the collision and plans to perform an experiment.
The hypothesis; greater fraction of kinetic energy is lost from the system during the collision when the speed of the first cart is greater is; Correct
What is the Hypothesis of the Collision?In an Inelastic Collision, energy is not conserved . Now, the loss of energy could be in the form of friction, vibrational energy, sound, heat energy, e.tc.
Now, for example frictional energy is proportional to the velocity. The, the greater the velocity, the greater the loss of energy. This is also true about vibrational energy, sound, heat energy, e.tc.
Thus, we can conclude that the hypothesis is correct.
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Which best summarizes the central idea of the excerpt? nonstandard forms of english are only appropriate among family members. standard forms of english imply a lack of family values and closeness. nonstandard forms of english imply close relationships and family values. standard forms of english are not appropriate among family members.
Mother Tongue is an essay by Amy Tan is about the language barrier and judging society. Nonstandard forms of language point to intimate relationships.
What is the theme of Mother Tongue?Mother Tongue is an essay that describes the challenges faced by the parents who do not speak proper English or communicate in non-standard English. This leads to the development of language used by the speaker to communicate with her mother.
The non-standard English used in the household increases the bond and affection between the members and increases the non-traditional relationship between parents and children.
Therefore, option C. nonstandard English indicates a close relationship.
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Answer:
c
Explanation:
Consider this expression. select the correct statements. 8(4y + 7) + 9
The provided algebraic expression 8(4y + 7) + 9 is a binomial expression, which has two terms in its simplified version.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Types of polynomial-
Monomial- Monomial type of polynomial contains only one term such as ax, by etc.Binomial-Binomial type of polynomial contains exactly two term such as ax+c, by+d etc.Trinomial-Trinomial type of polynomial contains three term.The given expression in the problem is,
[tex]f(x)=8(4y + 7) + 9[/tex]
Solving it further,
[tex]f(y)=8(4y + 7) + 9\\f(y)=32y+56+9\\f(y)=32y+65[/tex]
The above polynomial has two terms. First is 32y and second one 65.
Hence, the provided algebraic expression 8(4y + 7) + 9 is a binomial expression, which has two terms in its simplified version.
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Recall that in a 45 – 45 – 90 triangle, if the legs each measure x units, then the hypotenuse measures x units. (72π – 144) mm2 (72π – 72) mm2 (288π – 288) mm2 (288π – 144) mm2
The area of the shaded region is = (72π - 144) mm²
What is the area of a shaded region?The area of a shaded region is that enclosed part of a plane figure that is shaded.
Suppose;
A square is inscribed in a circle with a diameter of 12√2 millimeters. Everything outside of the square is shaded.Let's first find the area of the circle.
Area of circle = [tex]\mathbf{\pi r^2}[/tex]
Area of circle = [tex]\mathbf{\pi \times (\dfrac{12 \sqrt{2}}{2})^2}[/tex]
Area of circle = 72π sq mm
We know that the side of the inscribed square = [tex]\mathbf{\dfrac{12\sqrt{2}}{\sqrt{2}}}[/tex] = 12 mm
Area of the square = side(L)²
Area of the square = 12²
Area of the square = 144 sq mm
Now, the area of the shaded region can be estimated by finding the difference between the area of the square from that of the circle.
i.e.
The area of the shaded region is = (72π - 144) mm²
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Answer:
A
Explanation:
:)
Determine the ph of a 0. 22 m naf solution at 25°c. The ka of hf is 6. 8 × 10-4
The pH shows the degree of acidity or alkalinity of the solution. The pH of the solution is 1.92.
What is pH?The term pH is defined as the hydrogen ion concentration of the solution. We have to set up the ICE table for this reaction as shown below;
HF + H2O ⇄ H3O^+ + F^-
I 0.22 0 0
C -x +x +x
E 0.22 - x x x
Ka = [H3O^+] [F^-]/[HF]
6. 8 × 10^-4 = x^2/ 0.22 - x
6. 8 × 10^-4(0.22 - x) = x^2
x^2 + 6. 8 × 10^-4x - 1.496 × 10^-4 = 0
x=0.012 M
Hence;
[H3O^+] = [F^-] = 0.012 M
pH = -log(0.012 M)
pH = 1.92
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Look at the feet of this peregrine falcon. explain how they help make this bird well-adapted to feed on other birds and mammals.
Evolution via natural selection makes this bird well-adapted to feed on other animals such as birds and mammals.
What is natural selection?Natural selection is the differential survival and reproduction process/mechanism by which evolution occurs.
Natural selection act to select the fittest well-adapted organisms in particular environmental conditions.
This process (natural selection) is the main mechanism for which new adaptations emerge in nature.
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When a 60 hz sinusoidal signal voltage is applied to the input of a half-wave rectifier, the output frequency is
Y = cot(x – 3) 3 units up 3 units down 3 units left 3 units right
Answer:
3 units right
Explanation:
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Vertical Asymptotes: x = 3 + πn where n is an integer
Amplitude: None
Period: π
Phase Shift: 3 (3 to the right)
Vertical Shift: None
Answer:
D. 3 units right
Explanation:
Which details should be included in a paraphrase of the passage? select three options. cassius retells the story of the river to show that caesar was stronger than cassius and other ordinary men. on a cold and windy day while the waves of the river beat upon the shores. even though i was still dressed in armor, i jumped in on his dare and asked him to follow me. caesar and cassius argued about the river. before we could reach our determined point, caesar started to sink, and cried out to me for help.
The details that should be included in a paraphrase of the passage from act 1, scene 3, of Julius Caesar are;
On a cold and windy day while the waves of the river beat upon the shores.Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.Before we could reach our determined point, Caesar started to sink, and cried out to me for help.What is a paraphrase?Paraphrasing means the restatement of a text in different words, often to clarify meaning. It helps to understand the text in a simpler context.
The excerpt from act 1, scene 3, of Julius Caesar can be paraphrased using the following details;
Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.On a cold and windy day while the waves of the river beat upon the shores.Before we could reach our determined point, Caesar started to sink, and cried out to me for help.Learn more about paraphrase:
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Answer:
The answers will be:
2 - On a cold and windy day while the waves of the river beat upon the shores.
3 - Even though I was still dressed in armor, I jumped in on his dare and asked him to follow me.
5 - Before we could reach our determined point, Caesar started to sink, and cried out to me for help.
Explanation:
How this helped !
Ideally the backrest is tilted back slightly so when you turn the wheel your shoulders are
It is enough to describe the proposed business as a sole proprietorship in the business description section
The statement is true logically, as it is enough for a business owner to describe the proposed business as a sole proprietorship.
What is sole proprietorship?A sole proprietorship is a form of business organization that is owned and operated by a single person. In this form of business, all the rules, policies, liabilities, profits and losses are under the control of the business owner.
The given statement is true because the sole proprietorship form of business is usually on a small scale and owned by a single person, therefore it is enough.
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Which mixture can be separated through filtration because one of the substances is insoluble in water? a
Answer:
Sand
Explanation:
Which is the best definition of the word garrulous as it is used in this sentence? a) cruel and unkind b) overweight and generally unhealthy c) quiet, untalkative, and mostly silent d) excessively talkative in a rambling, roundabout manner
Answer:
d) excessively talkative in a rambling, roundabout manner
Explanation:
What is the correct date format for mla citations?9 jan. 2014jan. 9, 20142014 jan. 92014 9 jan.
Answer:
A
Explanation:
9 Jan. 2014
A random sample of 150 students is chosen from a population of 5,000 students. the mean iq in the sample is 110, with a standard deviation of 10. what is the 95% confidence interval for the students' mean iq score? 100–120 107.9–112.1 108.4–111.6 108.66–111.34
How do brutus’s and caesar’s dilemmas in these passages contribute to meaning? both dilemmas are fueled by a desire for power. both dilemmas result in brutus and cassius conspiring against caesar. both dilemmas are revealed through soliloquies. both dilemmas lead to renewed trust and loyalties.
The Brutus’s and Caesar’s dilemmas in these passages contribute to meaning is both dilemmas lead to broken trust and loyalties.
What is passages reading?Passage reading is the method of reading and understand the passages. In the passage reading, one has to answer the question related to passage after reading it.
The given passage is attached in the figure below. The options given for this passage are:
Both dilemmas are fueled by a desire for power. Both dilemmas result in brutus and cassius conspiring against caesar. Both dilemmas are revealed through soliloquies. Both dilemmas lead to renewed trust and loyalties.Thus, the Brutus’s and Caesar’s dilemmas in these passages contribute to meaning because they are fueled by a desire for power.
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Answer:
B. both dilemmas result in Brutus and Cassius conspiring against caesar.
Explanation:
i did it
Midwest sales, inc. has a stated written policy by which all similarly situated employees are to be paid the same salary. john doe (a male), a senior executive vice president for sales and marketing for midwest's zone a, is paid $100,000 a year by midwest. jane roe (a female), a senior executive vice president for sales and marketing for midwest's zone b is paid $95,000 a year by midwest. jane has worked for midwest two years longer than john. the descriptions of john and jane's respective jobs are identical. what is the most accurate statement concerning any legal challenge to the differential in pay between what midwest pays john and jane:
The most accurate statement concerning any legal challenge is that pay difference is unlawful unless Midwest can establish some significant difference between Zone A and Zone B.
Which legislation guided this practice?Equal Pay Act of 1963 was the legislation that stated that both men and women must earn the same salary for similar jobs.
The legislation prohibited discimination of gender when establishing a person's salary.
However, there is an exception which is if work carried out in Zone A is much more demanding, challenging, difficult, important or relevant than the work carried out in Zone B, then, the company will be vindicated from any legal matter.
Thereforel the Option B is correct.
Missing options "a) The pay difference is not unlawful and cannot be challenged because there is less than a 10% pay difference between what Midwest pays John and Jane.b) The pay difference is unlawful, unless Midwest can establish some significant difference between Zone A and Zone B.c) The pay difference is not unlawful and cannot be challenged in this instance because the "seniority" defense allows for different pay for men and women even though they may be performing "substantially the same job".d) The pay difference is unlawful, not because of the gender difference between John and Jane, but because Midwest is violating its own stated pay policy.
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Place the following substances in order of decreasing vapor pressure at a given temperature. pf5 brf3 cf4
The order of decreasing vapor pressure at a given temperature is CF4 > PF5 > BrF3.
What is Vapor pressure?
This is defined as the pressure exerted by the gas in equilibrium with a solid or liquid in a closed container at a given temperature.
CF4 has very little vapor pressure as a result of its symmetrical structure which is why it has the least vapor pressure.
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If you have a solution with a [h+] of 1.58x10-6 m, what is the ph of the same solution?
pH is the potential of the hydrogen ion concentration in an aqueous solution. The pH of the solution will be 5.801.
What is pH?pH is the measurement of the acidic and the basic characteristic of the solution by the hydrogen or the hydronium concentration.
The formula for pH is given as,
[tex]\rm pH = \rm - log [H^{+}][/tex]
Here, the concentration of the hydrogen in the solution is given as [tex]1.58 \times 10^{-6}\;\rm m.[/tex]
Substituting values in the above equation:
[tex]\begin{aligned} \rm pH &= \rm - log [H^{+}]\\\\&= \rm - log [1.58 \times 10^{-6}]\\\\&= 5.801\end{aligned}[/tex]
Therefore, 5.8 is the pH of the solution.
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A diagnosis of one type of cardiovascular disease does not necessarily indicate risk for another type.
The statement 'a diagnosis of one type of cardiovascular disease does not necessarily indicate risk for another type' is TRUE.
What does 'diagnosis' mean?The word diagnosis refers to the causes and/or problems that lead to a given health (disease) condition.
Cardiovascular diseases are multicausal, which means that these conditions can be caused by different health problems.
In conclusion, the statement 'a diagnosis of one type of cardiovascular disease does not necessarily indicate risk for another type' is TRUE.
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A neutral metal sphere is touched by a negatively charged metal rod. during the process, electrons are transferred from the _____ to the _____ and the sphere acquires a _____ charge