Steve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why? HEPLLLL!!!!!

9514 1404 393

Answer:

  216.66 yd²

Step-by-step explanation:

One way to find the area of a ring like this is to multiply its centerline length by the width of the ring.

Here, the diameter of the circle that is the centerline of the ring is 23 yd. The circumference of that circle is ...

  C = πd = 3.14(23 yd) = 72.22 yd

Then the ring area is ...

  (72.22 yd)(3 yd) = 216.66 yd² . . . area of shaded region

Complete Question

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 9-year period. Assume each year is independent.

Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

Answer:

The probability is  [tex]P(X > 2) = 0.0007 [/tex]

Step-by-step explanation:

From the question we are told that

The  probability of an IRS audit for a tax return with over $25,000 in income is p= 0.02

The sample size  n  =  9

Generally the distribution of IRS audit for a tax return follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability that a person is not audited at all is mathematically

     [tex]P(X = 0) =  ^{9}C_0 *  (0.02)^0 *  (1- 0.02 )^{9-0}[/tex]

      [tex]P(X = 0) =  ^{9}C_0 *  (0.02)^0 *  (0.98 )^{9-0}[/tex]

       [tex]P(X = 0) =  0.8337[/tex]

Generally the probability that a person is  audited once  is mathematically

           [tex]P(X = 1) =  ^{9}C_1 *  (0.02)^1 *  (1- 0.02 )^{9-1}[/tex]

           [tex]P(X = 1) =  9*  (0.02)^1 *  (0.98 )^{8}[/tex]

            [tex]P(X = 1) =  0.1531[/tex]

Generally the probability that a person is  audited twice is mathematically represented

           [tex]P(X = 2) =  ^{9}C_2 *  (0.02)^2 *  (1- 0.02 )^{9-2}[/tex]

           [tex]P(X = 2) =  36 *  (0.02)^2 *  (0.98 )^{7}[/tex]

            [tex]P(X = 2) =  0.0125 [/tex]

Generally the probability that a person is audited more than twice is mathematically represented

     [tex]P(X > 2) =  1 - [P(X = 0 ) + P(X = 1 )+ P(X =2)] [/tex]

=>    [tex]P(X > 2) =  1 - [0.8337 + 0.1531+0.0125 ] [/tex]

=>    [tex]P(X > 2) = 0.0007 [/tex]

Answer:

Step-by-step explanation:

You can break it down into steps if you'd like.

-5 ( 3h - 8) = -15h + 40

So,

7h - 5 ( 3h -8 ) = -72

7h - 15h + 40 = -72

Now you can combine the like terms

-8h + 40 = -72

Add 8h to both sides

40 = -72 + 8h

Add 72 to both sides

40 + 72 = 8h

112 = 8h

Divide both sides by 8 to find h.

h = 112/8 = 14

Answer:

the answer should be 414

Answer:

414

or

103.5

Step-by-step explanation:

If these are singular values and for example 2 x 105 does not mean two datasets of 105 and 6 x 103 doesnt mean six datasets of 103, then your average would be as follows

((2 x 105) + (6*103)) ÷ 2

The two being how many sets of values you have

This would be solved as follows

((210) + (618)) ÷ 2 =

            (828) ÷ 2 = 414

So in this case it would be 414

However, if the two in 2 x 105 means two data sets of 105;

it would be the same steps of solving but with the ÷ 2 being replaced with ÷ 8 (2 + 6)

((2 x 105) + (6*103)) ÷ 8 =

        ((210) + (618)) ÷ 8 =

                    (828) ÷ 8 = 103.5

Hope this helps.

Answer:

45-0.023=44.977

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

-2x⁴-x³+2x²-6

hope this helps

False, The sum is positive, no subtraction is being done and no negatives are present.

A positive plus a positive is another positive.

Answer:

2.5 minutes

Step-by-step explanation:

The answer is given in the word problem.

Answer:

let me see the drop box options !! it helps alot!

Answer:

s=3

Step-by-step explanation:

Answer:

s=3

Step-by-step explanation:

simplify the equation to the form, which is simple to understand  

and then move all terms containing s to the left and all other terms to the right!

ayooooo the functions: a and d.

Answer:

True

Step-by-step explanation:

Definition of Complementary Angle’s

Answer:

232.05

Step-by-step explanation:

find out how much it started out with

so divide 46dollars and 50 cents by 3

then you'll have 15dollars and 5 cents

now you know thats how much earned at first you multiply by 15 and you get the answer above

good luck

Answer:

you are more likely to get a 10 dollar bill

Step-by-step explanation:

Answer:

124°

Step-by-step explanation:

Supplementary angles are when two angles add up to 180°

If angle 3 is 56° then you subtract

180 - 56 = 124

Answer:  x=3

Step-by-step explanation:

Answer:

13/48

Step-by-step explanation:

13/6 / 8 = 13/6 x 1/8

13 x 1 = 13

6 x 8 = 48

13/48

Answer:

13/48

Step-by-step explanation

Answer:

A

Step-by-step explanation:

When you plot the points (-2,1) and (2,1) on a graph, you get a horizontal lines that crosses through y=1 which can be rearranged to be written as y-1=0

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:for a is (x,y) = (1, -5)

B is (x,y) ∈∅

And lastly is c is (x, y) = ( x , 1 - 7x), x∈

Step-by-step explanation:

for a is (x,y) = (1, -5)

B is (x,y) ∈∅

And lastly is c is (x, y) = ( x , 1 - 7x), x∈

Answer:

The ratios are equivalent

The ratios are a proportion

Answer:

53

Step-by-step explanation:

Answer:

Step-by-step explanation:

add all internal angles

∠H + ∠I + ∠J = 180

where:

∠H = 3x - 2

∠I = 4x - 9

∠J = 3x - 9

plugin the values into the ∠H + ∠I + ∠J = 180 formula:

equation: 3x - 2 + 4x - 9 + 3x - 9 = 180

combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9

simplify: 10x = 200

divide 10 both sides: x = 20

Answer:

Step-by-step explanation:

Its b

Answer:

D

Step-by-step explanation: common sence because when it 5 and the little 2

would be 5 times 5 BUT 5 and the little 4 would be 5 times 5 times 5 times 5 so which if you add those u get 5 times etc u get the point