Answer:
The probability that none of these taxpayers will be audited by the IRS is 0.8996 or 89.36%
Step-by-step explanation:
According to given:
Probability of being audited for income less than $50,000 = 6/1000 = 0.006
Therefore,
Probability of not being audited for income less than $50,000 = 1 - 0.006 = 0.994
Similary,
Probability of being audited for income more than $100,000 = 49/1000 = 0.049
Therefore,
Probability of not being audited for income more than $100,000 = 1 - 0.049 = 0.951
Now, for the probability of 2 persons with less $50,000 income and 2 persons with more than $100,000 income, to not being audited, we must multiply the probabilities of not being audited of each of the 4 persons.
Therefore,
Probability that none of them is audited = (0.994)(0.994)(0.951)(0.951)
<u>Probability that none of them is audited = 0.8936 = 89.36%</u>
Answer:
The value of x = 3.
Length = 4 feet and Width = 5 feet
Step-by-step explanation:
Height of the box = 2 ft
Length of the box = (3x-5) ft
Width of the box = (2x-1) ft
Volume of the box = 40 cubic feet
Now, VOLUME OF CUBE = LENGTH x WIDTH x HEIGHT

Now, solving for the value of x, we get:

⇒ Either x-3 = 0, or ( 6x+5) = 0
⇒ Either x = 3, or x = -5/6
As x = SIDE OF A CUBE ,so it CANNOT be negative.
⇒x = 3
So, length = (3x-5) = 3(3) -5 = 9-5 = 4 units
Width = (2x-1) = 2(3) -1 = 5 units
Its easy there are 6 sides that are equal so, 6 x 6 is 36 and thats the awnser, 36 your welcome!!!!! Hope this helps
Answer:
3c+12
Step-by-step explanation:
Are of rectangle = Length * Width
Given the following data
Length: (c+4) ft
Width: 3 ft
Area of the rectangle = 3 (c+4)
Expand
Area of the rectangle = 3(c) + 3(4)
Area of the rectangle = 3c + 12
hence the expression in simplest form for the area of the rectangle is 3c+12
Answer:
the 1 one
Step-by-step explanation: