Answer:
a) The odds that such a taxpayer will be audited is 4%.
b) The odds against such a taxpayer being audited is 96%.
Step-by-step explanation:
a) Data and Calculations:
The probability of an IRS audit = 3.8% for U.S. taxpayers who file form 1040 and earned $100,000.
This is the same as the odds that such a taxpayer will be audited. Odds is the likelihood or chance that an event will take place.
b) The probability of not being audited is 100 - 3.8% = 96.2%
The odd against being audited is the likelihood or chance that an event will not take place.
Answer:
10 bugs
Step-by-step explanation:
If last month the spider ate 8 bugs, and this month the spider ate 25% more bugs, we can calculate the amount of bugs the spider ate this month finding how much is 25% of 8 bugs, and them we sum this value to the 8 bugs it ate last month.
25% of 8 = 8 * 25 / 100 = 2
Now we know that the spider ate 2 more bugs, so the amount of bugs it ate this month is 8 + 2 = 10 bugs.
We can also solve this problem multiplying directly 8 by 1.25 (1.25 represents the 25% increase in the bug consumption):
8 * 1.25 = 10 bugs.
Positive Nine is the right answer after direct substitution.
The perimeter is given by:
P = 2x + 2y = 28
The area is given by:
A = x * y
Writing the area based on x we have:
A (x) = x * (14-x)
Rewriting:
A (x) = 14x-x ^ 2
Deriving we have:
A '(x) = 14-2x
We equal zero and clear x:
14-2x = 0
x = 14/2
x = 7
We are now looking for the other dimension:
y = 14-x
y = 14-7
y = 7
Answer: The length and width of a rectangle that has the given perimeter and a maximum area are:
y = 7 meters
