Answer:
<h3>
Step-by-step explanation:</h3>
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
I guess this is a geometric series:
a6 = a1 * r^5 so
a1 = 0.03125 / 0.5^5
= 1 answer
Answer:
4/3 of an hour, or 1.33 hours
Step-by-step explanation:
It took Mike 1/3 of an hour to mow 1/4 of the yard. This means when it has been 1 full hour, he would have mowed 3/4 of the yard, because
hour. Because of this, we can multiply 1/3 by 4, because he has to mow 4 parts of his lawn, and he can do 1 part in 1/3 of an hour.
hours
Answer:
$34,000
Step-by-step explanation:
First they had 30,000
Then wrote off 40,000
So balance is 30,000 - 40,000 = -10,000
Now, they want 8% of 300,000 as uncollectible. So that would be
0.08 * 300,000 = 24,000
Thus, to bring the balance to 24,000 [balance is -10,000], how much would they need to add?? Let it be x:
-10,000 + x = 24,000
x = 24,000 + 10,000 = $34,000