In: Mechanical Engineering

Problem 4. Explain to high school level students about streamlines,
streaklines, and pathlines. Please explain by inserting a figure if
necessary.

Problem 4. Explain to high school level students about
streamlines, streaklines, and pathlines. Please explain by
inserting a figure if necessary.
問題４．流線、流脈線、流跡線について高校生にわかるように説明しなさい。必要に応じて挿絵(Figure)を入れて説明しなさい。

Students completed a high school senior level standardized
algebra exam. Major for students was also recorded. Data in terms
of percent correct is recorded below for 32 students. We are
interested to see if there is any difference between students'
high-school algebra test scores and subsequent declared college
major.
These students have now also just
completed the same college-level calculus class and received a
grade. We are therefore now also
interested to see if there is any relationship
between the...

In a certain high school, uniforms are optional. A study shows
that high school students who wear uniforms have a lower grade
average than students who don't wear uniforms. From this study, the
school administration claims that they should not require the
students to wear uniforms because that is the cause of the lowering
grades. Another possible explanation is that students who wear
uniforms are poorer than the students who don't wear uniforms and
the economic situation of their parents...

1. A high-school administrator who is concerned about the amount
of sleep the students in his district are getting selects a random
sample of 14 seniors in his district and asks them how many hours
of sleep they get on a typical school night. He then uses school
records to determine the most recent grade-point average (GPA) for
each student. His data and a computer regression output are given
below. (remember to do ALL parts).
Sleep (hrs) 9 8.5 9...

4. (24) The average starting salary of a random sample of 100
high school students was found to be $31,840. The population
standard deviation for all such individuals is known to be $9,840.
a. (12) Ten years ago, the average starting salary was $25,000.
Does the sample data support the claim that the starting salary for
this group has increased? Use alpha = 0.05.
b. (6) Describe in general Type I and Type II errors and the
Power of the...

In 1996, 61% of high school teachers felt it was a serious
problem that high school students were not being attentive enough
in the classroom. A recent survey found that 236 of 400 high school
teachers felt it was a serious problem that high school students
were not being attentive enough in the classroom. Do high school
teachers feel differently today than they did in 1996? (a) What
does it mean to make a Type II error for this test?...

IN MINITAB High School Dropouts Approximately 10.3%
of American high school students drop out of school before
graduation. Choose 10 students entering high school at random. Find
the probability that
a. No more than two drop out
b. At least 6 graduate
c. All 10 stay in school and graduate

(High school busing problem) The Arden County, Maryland,
superintendent of education is responsible for assigning students
to the three high schools in his county. He recognizes the
need to bus a certain number of students, for several sectors of
the county are beyond walking distance to a school. The
superintendent
partitions the county into three geographic sectors as he
attempts to establish a plan that will minimize the total
number of student miles
traveled by bus. He also...

In the last decade, only 50.4% of high school students in
Tampa’s school district graduated high school. Aiko believes her
high school in St. Petersburg has a higher graduation rate. She
collects a random sample of 54 former students of her high school
and found that 33 of them graduated. Test Aiko’s belief using a
significance level of 0.05.

Question: Can you please break this proof down
to a level where a high school student can understand it? Thank
you.
Example:
Prove that the product of n successive integers is always
divisible by n!
If the product of n successive integers is always divisible by
n!, then we would only need to prove it is true for positive
integers. If one of the integers in the product is zero, it will
always be true. If the integers are negative,...

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