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Sergio039 [100]
3 years ago
11

According to the Internal Revenue Service (IRS), the chances of your tax return being audited are about 6 in 1,000 if your incom

e is less than $50,000; 10 in 1,000 if your income is between $50,000 and $99,999; and 49 in 1,000 if your income is $100,000 or more (Statistical Abstract of the United States: 1995). If two taxpayers with incomes under $50,000 are randomly selected and two with incomes more than $100,000 are randomly selected, what is the probability that none of these taxpayers will be audited by the IRS?
Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

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>

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Let f(x) = x2 − 16. Find f−1(x)
Yanka [14]

Answer:

f^{-1}(x)=\pm\sqrt{x+16}

Step-by-step explanation:

f(x)=x^2-16

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}

Now, you can swap the variables again and write the function.

f^{-1}(x)=\pm\sqrt{x+16}

3 0
2 years ago
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navik [9.2K]

Answer:

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4 0
2 years ago
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At a display booth at an amusement park, every visitor gets a gift bag. Some
kotegsom [21]

The bag will often contain all three items every 70 bags ⇒ answer C

Step-by-step explanation:

At a display booth at an amusement park, every visitor gets a gift bag

according to these information:

1. Hat Every 2nd visitor

2. T-shirt Every 7th visitor

3. Backpack Every 10th visitor

We need to know how often a bag will contain all three items

To solve this problem you must find a number divisible by 2, 7, and 10

To find that number start with the multiples of the largest one and

check them with the other two numbers

∵ The largest number is 10

∵ The multiples of 10 are 10 , 20 , 30 , 40 , 50 , 60 , 70 , 80 , .......

- Look for the first multiple of 10 is divisible by 7

∵ 70 is the first multiple of 10 divisible by 7

∵ 70 is divisible by 2 because its even number

∴ 70 is the smallest number divisible by 2, 7 and 10

The bag will often contain all three items every 70 bags

Learn more:

You can learn more about numbers in brainly.com/question/537998

#LearnwithBrainly

4 0
3 years ago
Helppppp god bless u
Vanyuwa [196]
Lets be a price of the calculator - $ a
then , after using the coupon, you need to pay $(a-18)
and after using 15% discount , you need to pay (1-0.15)a=0.85a

then, if 
(a-18) will be more than 0.85a, you should prefer 0.15 % discount, because it will be cheaper,

a-18> 0.85a
a-0.85a>18
0.15a > 18
a>120, that means that if the price of the calculator more than $120, 15% discount is better,
but if the price of the calculator is less than $120, you should choose $ 18 coupon.

for example, we have the price of the calculator $100
100-18=82,
100*0.85 =85, coupon is better.

If the price of the calculator $200
200-18=182,
200*0.85=170, so 15% discount is better

if price of the calculator is $120,
120-18=102
120*0.85=102, 
it will not matter, what you are going to use, because you are going to pay the same amount of money





5 0
3 years ago
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A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?
Rina8888 [55]

Answer:

52 photos per hour

Step-by-step explanation:

8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52

5 0
3 years ago
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