They each contributed $6.75. I got that because i divided the $27.00 by the 4 friends and got $6.75, to make sure I also multiplied the $6.75 by 4 and got $27.00
Answer:
And for the other case if we use the z score and the complement rule we have:
And we can find the probability of interest like this:
And replacing we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
We assume that the distribution is
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we find the individual probabilities we got:
And for the other case if we use the z score and the complement rule we have:
And we can find the probability of interest like this:
And replacing we got:
The solution is the point where the two lines intersect (are equal) so y=y and we can say:
6-x=-10-x upon adding x to both sides:
6=-10
This is never true so there is no solution to this system of equations. And for this to be true the two lines must be parallel and have different y-intercepts...
<span>We first calculate the annual straight-line depreciation for the starting 8-year useful lifespan. This is given by the value minus the salvage value (23,000 - 1,500) divided by the 8 year lifespan, resulting in annual depreciation of 2,687.50 dollars. After four years at this rate, the vehicle has depreciated in value by 2,687.50 * 4 dollars (10,750) and has a present value of 12,250 dollars. The useable life is then reduced by 2 years so we must recalculate the straight-line depreciation. This is given by present value minus salvage cost (12,250 - 1,500) divided by the remaining 2 years of usable life. This results in a depreciation expense in both years 5 and 6 of $5,375.</span>