Answer:
(A) The odds that the taxpayer will be audited is approximately 0.015.
(B) The odds against these taxpayer being audited is approximately 65.67.
Step-by-step explanation:
The complete question is:
Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
A. What are the odds that the taxpayer will be audited?
B. What are the odds against such tax payer being audited?
Solution:
The proportion of U.S. taxpayers who were audited is:
P (A) = 0.015
Then the proportion of U.S. taxpayers who were not audited will be:
P (A') = 1 - P (A)
= 1 - 0.015
= 0.985
(A)
Compute the odds that the taxpayer will be audited as follows:


Thus, the odds that the taxpayer will be audited is approximately 0.015.
(B)
Compute the odds against these taxpayer being audited as follows:


Thus, the odds against these taxpayer being audited is approximately 65.67.
Answer:
Factoring in groups is like breaking it apart piece by piece and takes more steps.
Factoring the difference of two squares takes few steps and is easier.
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
1. Answer:
C. 1050
Step-by-step explanation:
To find the area of a rectangle, it is length * width * height
25 * 7 = 175
175 * 6 = 1050
2. Answer:
C. 8
Step-by-step explanation:
To find the missing dimension of a rectangle, you can easily just divide the total by each dimension
540 divided by 7.5 = 72
72 divided by 9 = 8
3. Answer:
D. 31,400
(31,415.9)
Step-by-step explanation:
The radius of the cylinder is 20
The height of the cylinder 25
πr2h is the formula used to find the volume of a cylinder
Answer:
This is a good tip and $18 is 18% of what the meal cost.
Step-by-step explanation:
On average the proper tip is 15% of the cost of your meal cost. In this case you have paid 18% of your meal cost.