Answer: $5,744.61
Step-by-step explanation:
year 1 = -2,277
year 2 = -2026.53
year 3 = -1803.61
year 4 = -1605.21
year 5 = -1428.64
year 6 = -1271.49
year 7 = -1131.62
year 8 = -1007.17
year 9 = -896.36
year 10 = -797.76
year 11 = -710
you are subtracting 11% from each year.
Since y=mx+b is the slope-intercept form of a line, where m=slope and b=y-intercept, we can see that:
The y-intercept is 5 (technically the point (0,5))
The x-intercept occurs when y=0 so:
2x+5=0
2x=5
x=2.5
So the x-intercept is the point (2.5, 0)
Answer:
The number is 
students
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample size is n = 2000
percentage of the would you expect to have a score between 250 and 305 is mathematically represented as
Generally
So
From the z table the value of 
and 
The percentage is 
The number of students that will get this score is
Answer: 0.51
Step-by-step explanation:
This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;
p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)
p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))
p = 0.51
in degrees.