Answer: 3.22
Explanation:
Given that;
mean = 2.5 min
standard deviation = 0.25 min
now to get the value of X required, we say
z = (x - u) / a
where z is the distance from the mean measured in the standard deviation units, x is the value we are interested in, u is the mean distribution, a is the standard deviation of the distribution.
the time delay should be just enough to allow 99.8% of the cabinets to dry completely = 99.8/100 = 0.9980
first we determine an appropriate z value.
Using the standardized normal tables,
value of z for approximately 0.9980 is 2.88
so using our initial equation z = (x - u) / a
we substitute the value
z = (x - u) / a
2.88 = ( x - 2.5) / 0.25
2.88 * 0.25 = x - 2.5
0.72 = x - 2.5
x = 0.72 + 2.5
x = 3.22
Answer:
a.
Cash 27000 Dr
Common Stock 13500 Cr
Paid in capital in excess of par-Common stock 13500 Cr
b.
Cash 135000 Dr
Preferred Stock 135000 Cr
Explanation:
a.
When we issue stock at premium, we always record the amount received from such issuance of stock at full. So, the cash account will be debited for 4500 * 6 = 27000
However, we record the common stock issued at par value and the remaining is credited under the reserve account which is Paid in capital in excess of par.
Thus the common stock will be credited by its par value of 4500 * 3 = 13500 and the remaining 4500 * 3 will be credited to the Paid in Capital account.
b.
The par value of the preferred stock is 4500 * 30 = 135000
Thus the preferred stock is issued at par and we simply debit the cash received from the issue and credit the preferred stock.
The largest proportion of federal revenues comes from C. Personal income taxes.