During a severe storm, electrical transformers that function independently are expected to operate 85 percent of the time. Suppose 20 electrical transformers are randomly selected from the population. Let the random variable I represent the number of electrical transformers operating during a severe storm. Which of the following is the best interpretation of the random variable I

The statement that represents the best interpretation of the random variable is as follows:

A binomial variable may be defined as a number of successes in an experiment consisting of N trails. These variables count how often a particular event occurs in a fixed number of tries or trials.

Since good electrical transformers operate at approximately 85% of the total time and 20 electrical transformers are chosen at random. Assuming the variable is a binomial variable. We have:

Mean = the number of samples * probability.

Standard Deviation = [tex]\sqrt{mean * (1-probability)}[/tex]

Mean =  85% * 20 = 0.85*20 = 17 transformers.

Standard deviation =[tex]\sqrt{17 * (1-0.85}[/tex] = [tex]\sqrt{2.55}[/tex]

Therefore, it is a binomial variable with a mean of 17 transformers and a standard deviation of √2.55 transformers.

To learn more about Standard deviation, refer to the link:

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What is the best Shah Rukh Khan Movie to watch? Only right answers please!

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Question 10(Multiple Choice Worth 10 points)
(06.03 MC)
Which integral can be approximated by a right Riemann sum where f(x) = 2x³ +3 on the interval [2, 6]?

4. A researcher notes that male-female pairs of fraternal twins share a similar
environment in a mothers' womb. This exposes the female twin to higher
levels of the hormone testosterone during prenatal development. This
hormone is thought to be responsible for masculinizing the brain (it leads to
male-typical behaviors). Likewise, the male twin is exposed to higher levels
of the hormone estrogen. This hormone is thought to be responsible for
feminizing the brain (it leads to female-typical behaviors). To test whether
exposure to testosterone and estrogen may influence male and female typical
behavior, the researcher selected a sample of female-male fraternal twins and
compared them to identical twins of each gender (male, female). She measured
tendencies toward aggression using an aggression assessment where higher
scores indicated greater aggression (a male-typical trait). It was hypothesized
that if hormone exposure influenced behavior, then aggression scores will vary
among the groups.

Dependent variable:
Factor A:
Levels of Factor A:

Factor B:
Levels of Factor B:
Number of groups:

Kelly saved​ $150. That is​ 50% of the money she earned this summer. How much did Kelly earn this​ summer?

Margot, a poetry teacher, hopes to shape her students' poetry skills so that they become progressively better over the course of writing three poems. On the first poem, she provides each student with extensive positive and negative feedback. On the second poem, she has less time for grading and only gives students a letter grade and a few positive notes. Given this feedback, how are students likely to perform on the next and final poem?
a. The poems will be of worse quality than the first two submissions.
b. Many students will not submit a third and final poem.
c. The poems will be of better quality than the first two submissions.
d. The poems will be of similar quality to the first two submissions.

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9. What contributes to a negative brand?
O A. Knowing your customers backwards and forwards
O B. Spending a little more time with customers
O C. Finding a way to go an extra step for the customer
OD. Inconsistent attributes and behaviors

A scale drawing of a house that is 12 meters tall is being drawn with a scale of 2 cm = 3 m. How many centimeters tall is the scale drawing?​

Using what you learned about memory in this chapter regarding the information processing model, strategies for improving memory, and reasons for forgetting, do one or more of the following:

devise and share at least one mnemonic device to help encode information about psychology concepts;
discuss a study strategy based on the psychology of memory which you have learned that will help you better encode and recall information about psychology;
discuss how you can apply retrieval cues and the theory of encoding specificity to better improve your recall of psychology facts.

Use synthetic or long division to divide x³ + 7x² + 7x-6 by x + 2. What is
the new expression?

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12. The writer is considering deleting the underlined subordinate clause in sentence 1 (reproduced below), adjusting the punctuation as necessary.

Given the failure of global corporations to clean up their palm oil supply chains so far, and the resulting massive devastation this has caused to tropical rainforests, there is no reason to believe that companies will amend their ways, especially since the demand for palm oil is expected to increase sixfold by 2050.

Should the writer keep or delete the underlined text?
A. Keep it, because it contains the writer’s personal conclusions about the future of palm oil.
B. Keep it, because it balances the writer’s assumption that companies have failed in the past.
C. Keep it, because it provides support for the writer’s lack of faith in global corporations.
D. Delete it, because it contradicts the writer’s assertion that the future of palm oil is grim.
E. Delete it, because it interrupts the writer’s line of reasoning about tropical rainforests.

13. The writer wants to add a sentence before sentence 1 to provide factual support for the introductory claim and focus the audience on the argument of the passage. Which of the following sentences best accomplishes this purpose?
A. In 2020, the World Wildlife Fund issued a scorecard rating 173 of the largest food brands on their progress toward making palm oil deforestation-free, noting that some have made limited progress.
B. In a landmark report, Greenpeace, the Rainforest Action Network, and Mighty Earth have revealed that four hundred companies, including the biggest brands, have broken their commitment to switch to deforestation-free palm oil by 2020.
C. In response to the growing concern over the deforestation wrought by palm oil harvesting, the Consumer Goods Forum formed a global coalition of four hundred consumer goods retailers and manufacturers, including some of the largest in the world.
D. According to the Rainforest Action Network, corporations that use palm oil in their products have increased transparency about their supply chains since 2010, but transparency should be improved to indicate the exact source of the palm oil.
E. The Roundtable on Sustainable Palm Oil was formed to monitor palm oil production and to certify compliant harvesters, but in 2018 it was denounced as a “con,” creating a global backlash.

14. In context, which version of sentence 4 (reproduced below) most effectively explains why oil palms are "an efficient and lucrative crop,” as mentioned in sentence 3?
The trees grow year-round, which means their oil can be harvested year-round.
A. (As it is now)
B. The trees grow year-round and have the highest yield per acre of any oil seed, thus allowing growers to maximize land usage and produce more saleable product.
C. Since palm oil has become an increasingly popular commodity, it has also become an increasingly profitable crop to produce and sell.
D. Palm tree growers can capitalize on year-round palm oil harvests, so it is surprising that palm oil production has only recently seen this rise in popularity.
E. Palm tree growers avoid the seasonal fluctuations that other growers face, which means they face fewer production obstacles.

3. A professor suggests that her college students will attend class more if
quizzes were given in every class. To demonstrate the need for this change,
the professor records the attendance of students (as the number of absences)
in morning versus evening classes in which quizzes are given every class or just
once a week. She hypothesized that attendance would be highest in
the classes with quizzes in each class.
Dependent variable:
Factor A:
Levels of Factor A:

Factor B:
Levels of Factor B:
Number of groups:

A box slides down an inclined plane 37° above the horizontal. The mass of the block, m, is 35 kg, the coefficient of kinetic friction is 0.3 and the length of the ramp, d, is 8 m. (a) How much work is done by gravity? (b) How much work is done by the normal force? (c) How much work is done by friction? (d) What is the total work done?(1690J; 0; -671J; 1019J)