Salaries differ greatly between faculty members at public universities in the United States. Full professors (who have tenure an
d do research) earn an average of $125,572 per year with a standard deviation of $18,328. Associate professors (who are working towards tenure and do research) earn an average of $90,101 per year with a standard deviation of $12,741. Lecturers (whose primary responsibility is teaching and do not earn tenure) earn an average of $59,707 per year with a standard deviation of $7,386. Assume all three populations are normally distributed.
a. What is the probability that a randomly selected full professor makes less than $100,000 per year?
a. What is the probability that a randomly selected full professor makes less than $100,000 per year?
1 answer:
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Answer:
D:Spring A is 3 m longer than spring B because 15 – 12 = 3.
Step-by-step explanation:
In this question, you should remember the Hooke's Law in physics.
The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.
The mathematical expression for this law is
where;
F= force applied on the spring
x = the extension on the spring
k= the spring constant which varies in spring.
The question will need you to calculate the extension on the springs A and B then compare the values obtained.
<u>In spring A</u>
Force, F=60N and spring constant ,k=4 N/m
To find the extension x apply the expression;
Here the spring extension is 15 m
<u>In spring B</u>
Force, F=60N and spring constant , k=5N/m
To find the extension x apply the same expression
Here the extension on the spring is 12 m
<u>Compare</u>
The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m