The difference of twice a number and five is three. Find the number.
1 answer:
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Answer:
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two lines are similar, then the lines are parallel
Lines parallel have the same slope
so
we have
Line A
isolate the variable y
----> equation A
The slope of the line A is m=0.5
The y-intercept of the line A is b=4
Line B
isolate the variable y
----> equation B
The slope of the line B is m=0.5
The y-intercept of the line B is b=2
Remember that
The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B
so
solve for k
Part A:
The poisson distribution is given by
Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.
The </span><span>probability that, in a year, there will be 6 hurricanes is given by
</span>
Part B:
<span>In a 45-year period, the number of years that are expected to have 6 hurricanes is given by 0.1445 x 45 = 6.5 years.
Part C:
The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>
The poisson distribution is given by
Thus, given that <span>the mean number of hurricanes in a certain area is 7.2 per year.
The </span><span>probability that, in a year, there will be 6 hurricanes is given by
</span>
Part B:
<span>In a 45-year period, the number of years that are expected to have 6 hurricanes is given by 0.1445 x 45 = 6.5 years.
Part C:
The poisson distribution worked here because, the observed value of the number of years that hurricanes occurred in a 45 year period which is 6 is very close to the calculated value which is 6.5</span>