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What is the identity of element X in this equation? 4219K-->4220X + 0-1ß

Calculate the electric field strength from a 1.25x10-8C charge if the test

charge is placed 2.50x10-5m.


Create a program that will ask the user to input Month Day and Year, the program will output the day and the date.


Sample Output:


Month: 5

Day:  20

Year: 2022


Friday, May, 20, 2022


A flexible rectangular coil of wire with 150 loops is stretched in such a way that its dimension changes from 5 cm x 8 cm to 7 cm x 11 cm in 0.15 s in a magnetic field of 25T that is 30 degrees relative to the plane of the coil.



a. Calculate the induced EMF



b. How much energy in joules was dissipated in the circuit if the total resistance is 100Ω?



Show step by step solution:



Given:



Solution:

A circular loop of wire of radius 0.25 cm is expected to an external magnetic field that is perpendicular to the plane of the loop. For a time, the magnetic field decreases at a rate of 0.0035 T/s. What is the magnitude of the induced electromagnetic force in the loop?



Show step by step solution:



Given:



Solution:

Construct the Tabular Representation and Histogram Representation of the following probability distribution:



1. In a class of 100 students, 80 students passed in all subjects, 10 failed in one subject, 7 failed in two subjects and 3 failed in three subjects. Find the probability distribution of the variable for number of subjects a student from the given class has failed in.



2. The probability of landing on 1 is 0.25. The probability of landing on 2 is 0.75. Let X be the sum of the two spins. Construct a probability distribution for the random variable x.





For a certain type of fluorescent light in a large building, the cost per bulb of replacing bulbs all at once is much less than if they are replaced individually as they burn out. It is known that the lifetime of these bulbs is normally distributed, and that 60% last longer than 2500 hours, while 30% last longer than 3000 hours.

a) What are the approximate mean and standard deviation of the lifetimes of the bulbs?

 

If the light bulbs are completely replaced when more than 20% have burned out, what is the time between complete replacements


Say 40% of the class is female. What is the probability that 6 of the first 10 students walking in will be female?



Two functions f : R → R and g : R → R are defined by f(x) = 5x3 + 1 and g(x) = 2x − 3 for all x ∈ R.

Determine the inverse of (f -1 ◦ g) and (g ◦ f )(2) and ( f ◦ g)(2).


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