PLEASE help me I am studying for the final
The Attila Barbell Company makes bars for weight lifting. The weights of the bars are independent and are normally distributed with a mean of 720 ounces (45 pounds) and a standard deviation of 4 ounces. The bars are shipped 10 in a box to the retailers.The weights of the empty boxes are normally distributed with a mean of 320 ounces and a standard deviation of 8 ounces. The weights of the boxes filled with 10 bars are expected to be normally distributed with a mean of 7,520 ounces and a standard deviation of

Answer:

Approximately 8.944 ounces.

Explanation:

To find the standard deviation of the weights of the boxes filled with 10 bars, we need to calculate the standard deviation of the sum of two normally distributed variables. In this case, the two variables are the weights of the bars and the weights of the empty boxes.

Since the weights of the bars and the weights of the empty boxes are independent, we can use the formula for the standard deviation of the sum of two independent random variables:

Standard deviation of the sum = sqrt(standard deviation of the first variable^2 + standard deviation of the second variable^2)

In this case, the standard deviation of the weights of the bars is 4 ounces and the standard deviation of the weights of the empty boxes is 8 ounces. Plugging these values into the formula, we get:

Standard deviation of the sum = sqrt(4^2 + 8^2) = sqrt(16 + 64) = sqrt(80) = 8.944

Therefore, the standard deviation of the weights of the boxes filled with 10 bars is approximately 8.944 ounces.

Answer:√224 or approximately 14.97 ounces

Explanation: standard deviation of filled boxes=√[(standard deviation of individual bars)^2 x number of bars + (standard deviation of empty boxes)^2]

Then, by plugging in the values given in the problem we get:

standard deviation of filled boxes=√[(4 ounces)^2 x 10 + (8 ounces)^2]

standard deviation of filled boxes=square root [160 + 64] =√224 or 14.97 ounces.

Pollution in an ocean ecosystem has caused a significant drop in sea otter population. Within a year, scientists monitoring the ecosystem note that the sea urchin population on which the otters feed has greatly increased. The prevalence of sea urchins has caused the kelp and algae populations on which the urchins feed to decrease. The scientists fear the urchins will also begin to overwhelm the ecosystem's fragile coral population. Which species is most likely the keystone species in the ecosystem?

Algae
Coral
Sea otters
Sea urchin

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3. Which of the following best describes the function of lines 5–6 ("Is it that…received”) in the context of the passage as a whole?

A. It suggests that the audience’s attitude toward the British is easily swayed, proving the speaker’s claim.
B. It encourages the audience to acknowledge Britain’s efforts to appease them, winning the audience’s trust.
C. It challenges the audience’s perception of the British, laying the foundation for the speaker’s main argument.
D. It introduces the audience to the British perspective, allowing the speaker to compare and contrast the actions of the British.
E. It highlights the audience’s loyalty toward the British, allowing the speaker to applaud the audience’s faithfulness.

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33. The writer is considering adding the following sentence after sentence 6.
In fact, some research shows that there are indeed positive effects.
Should the writer add this sentence?
A. Yes, because it provides commentary that helps explain why the evidence in sentence 7 is relevant to the central argument.
B. Yes, because it signals a continuation of the main claim that the writer argued in the previous paragraph.
C. Yes, because it provides an observation that counters the evidence the writer provides in sentence 7.
D. No, because it alludes to evidence without contextualizing it in relation to the central claim the writer makes in the paragraph.
E. No, because it shifts the line of reasoning away from the potential drawbacks of technology to the potential advantages.

Which statement best describes the role of nature in King Lear?

A.
Nature is viewed as something to be tamed and conquered by many different characters.

B.
Nature functions as a stark contrast against the insular court and royal lifestyle of King Lear.

C.
Nature plays a critical role in exposing the characters to different environments throughout the play.

D.
Nature in many forms is the constant backdrop of the play and characters interact with it in different ways.

E. Nature works in both the background and foreground of the play to highlight how characters view the role of fate.

The post hoc test commonly used in ANOVA to compare the means of all pairs of groups, such as the mean salary of employees in different departments or the mean test scores of students in different grade levels, is _______.
(research methods psychology)

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50. The writer is working on a revision of the passage and has written the following thesis statement for it.
But based on evidence cited in the New York Times, the current debate has a clear solution.
Which of the following is most likely the main claim that the writer is planning to make in the new version of the passage?
A. The best way to aid children in their development is to institute a rigorous cursive-writing curriculum.
B. The mental development of children is dependent on learning cursive writing as early as possible.
C. The argument over typing versus handwriting, whether cursive or printing, has a neurological component.
D. Cursive writing should be taught from an early age to take maximum advantage of neurological development potential.
E. Cursive writing has unique impacts on brain development, proving that its inclusion in curricula is essential.

Which of the following is not true about theme? A Theme can be applied to our own lives. B There can be multiple themes in a story. C Theme is the main idea of a story. D Story elements like setting and conflict help develop theme.

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41.The writer is considering adding the following sentence after sentence 1.
Yet some of the most historically significant, world-changing documents were written in cursive, including the US Constitution, the Declaration of Independence, and the Magna Carta.
Should the writer make this addition?
A. Yes, because the sentence includes descriptive language and specific details that engage the audience and focus them on the topic.
B. Yes, because the sentence implies the historical significance of the argument on which the passage is focused.
C. Yes, because the sentence engages the audience with a personal observation from the writer of the passage.
D. No, because the sentence lists examples that are irrelevant to a modern audience and would likely confound them.
E. No, because the sentence contradicts the evidence presented in the previous sentence and negates the main claim.

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5. In the second paragraph (lines 9–14), the speaker makes which of the following claims about the British response to the colonists?
A. By deploying their fleets, the British have shown their willingness to listen to and negotiate with the colonists.
B. When the colonists insisted on challenging the British monarch, the king had no choice but to send troops in response.
C. With their acceptance of British assurances, the colonists have relinquished any hope of staving off the British military.
D. Due to their insistence on remaining in good standing with the British, the colonists ushered in British military occupation.
E. Through their militaristic response, the British have shifted the confrontation away from diplomacy and toward war.

(a) What is the historical context of the speech? Your response should be 1-2 sentences in length.

(b) What events does it reflect? Your response should be 1-2 sentences in length.

(c) What intentions for Reconstruction does it reveal? Your response should be 2-3 sentences in length.

Excerpt from President Abraham Lincoln's Second Inaugural Address, 1865
If we shall suppose that American Slavery is one of those offences which, in the providence of God, must needs come, but which, having continued through His appointed time, He now wills to remove, and that He gives to both North and South, this terrible war, as the woe due to those by whom the offence came, shall we discern therein any departure from those divine attributes which the believers in a Living God always ascribe to Him? Fondly do we hope—fervently do we pray—that this mighty scourge of war may speedily pass away. Yet, if God wills that it continue, until all the wealth piled by the bond-man's two hundred and fifty years of unrequited toil shall be sunk, and until every drop of blood drawn with the lash, shall be paid by another drawn with the sword, as was said three thousand years ago, so still it must be said "the judgments of the Lord, are true and righteous altogether."

With malice toward none; with charity for all; with firmness in the right, as God gives us to see the right, let us strive on to finish the work we are in; to bind up the nation's wounds; to care for him who shall have borne the battle, and for his widow, and his orphan—to do all which may achieve and cherish a just, and a lasting peace, among ourselves, and with all nations.

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37. The writer is considering changing the underlined portion of sentence 13 (reproduced below) so that it conveys the information in the sentence in the most precise way
For instance, some doctors warn that too much screen time can lead to physical and mental health pitfalls such as obesity and depression.

Which version of the underlined portion of sentence 13 best accomplishes this goal?
A. (as it is now)
B. issues
C. conflicts
D. emergencies
E. glitches

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34. In sentence 7 (reproduced below), the writer wants to include a piece of relevant evidence that will help convince the reader to accept the research by Daphne Bavelier as credible
For example, research by Daphne Bavelier, a professor, has revealed that video games can increase the speed of perceptual processing and improve the ability to multitask.
Which of the following versions of the underlined portion of sentence 7 achieves this goal?
A. often sought after for her extensive knowledge and years of experience
B. a globally prominent speaker who is currently conducting research in Geneva, Switzerland
C. widely respected in the industry as an expert on the subject
D. a well-known professor at the University of Rochester in New York
E. a professor of brain and cognitive sciences and creator of the successful TEDx talk on video games