Answer:
15 miles /seconds
Explanation:
Distance = 600m
Time = 40 seconds
Speed=?
Simplify
A professional soccer player succeeds in scoring a goal on 84% of his penalty kicks. assume that the success of each kick is ind
ependent. (a) in a series of games, what is the probability that the first time he fails to score a goal is on his fifth penalty kick? (b) what is the probability that he scores on 5 or fewer of his next 10 penalty kicks? (c) suppose that our soccer player is out of action with an injury for several weeks. when he returns, he only scores on 5 of his next 10 penalty kicks. is this evidence that his success rate is now less than 84%? explain.
2 answers:
Geometric Distributions:Deals
with the number of trials
required until a single success.
Geometric random variable: the number of trials (y) it takes to get a success in a geometric setting.
When do you use it? To find first success or failure
Calculator Commands
When it takes more than n trials...1-geometcdf(p,n)
When it take n trials... geometpdf(p,x)
When it it takes a max of n trials...geometcdf(p,x)
a. geometcdf(.16,5) = .0797
b. binomcdf(10,.84,5) = .013
c. From par b. if the soccer player's succes rate were still 84%, the probability that he would score 5 or few goals in 10 penalty kicks is 0.0130. This is so low thatwe should be suspicious about whether he can still hit 84% of his shots. We have convincing that his penalty kick success rate has fallen below 84%
Geometric random variable: the number of trials (y) it takes to get a success in a geometric setting.
When do you use it? To find first success or failure
Calculator Commands
When it takes more than n trials...1-geometcdf(p,n)
When it take n trials... geometpdf(p,x)
When it it takes a max of n trials...geometcdf(p,x)
a. geometcdf(.16,5) = .0797
b. binomcdf(10,.84,5) = .013
c. From par b. if the soccer player's succes rate were still 84%, the probability that he would score 5 or few goals in 10 penalty kicks is 0.0130. This is so low thatwe should be suspicious about whether he can still hit 84% of his shots. We have convincing that his penalty kick success rate has fallen below 84%
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Three complete orders on each side of the m=0 order can be produced in addition to the m=0 order.
The ruling separation is d=1/(470mm-1)
Diffraction lines occurs at an angle θ such that dsin=mλ,when λ is the wavelength and m is an integer.
Notice that for a given order,the line associated with a long wavelength is produced at a greater angle than the line associated with shorter wavelength.
we take λ to be the longest wavelength in the visible spectrum (538nm) and find the greatest integer value of m such that θ is less than 90°.
That is,find the greater integer value of m for which mλ<d.
since,d/λ
There are three complete orders on each side of the m=0 order.
The second and third orders overlap.
learn more about diffraction from here: brainly.com/question/28168352
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Answer:
The peak value of the electric field is 489.64 V/m
Explanation:
Given;
power of the laser, P = 1.0 mW = 1 x 10⁻³ W
Radius of the beam, R = 1.0 mm = 1 x 10⁻³ m
Area of the beam = πr² = π(1 x 10⁻³ )² = 3.142 x 10⁻⁶ m²
The average intensity of the light = P / A
The average intensity of the light = ( 1 x 10⁻³) / (3.142 x 10⁻⁶)
The average intensity of the light = 318.27 W/m²
The peak value of the electric field is given by;
Therefore, the peak value of the electric field is 489.64 V/m.