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azamat
3 years ago
15

Let the positive numbers a, b, c. Prove that

7B2013%7D%20%7D%7Ba%5E%7B2012%7D%2Bb%5E%7B2012%7D%2Bc%5E%7B2012%7D%7D%20%5Cgeq%20%5Cfrac%7Ba%2Bb%2Bc%7D%7B3%5C%5C%7D" id="TexFormula1" title="\frac{a^{2013}+b^{2013}+c^{2013} }{a^{2012}+b^{2012}+c^{2012}} \geq \frac{a+b+c}{3\\}" alt="\frac{a^{2013}+b^{2013}+c^{2013} }{a^{2012}+b^{2012}+c^{2012}} \geq \frac{a+b+c}{3\\}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

I don't need to prove it, I already believe you

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Shiny White dental insurance costs $258 per year. Approximately one-third of insured people need a filling, which averages $110
sveta [45]

Answer:

  about $145.33

Step-by-step explanation:

Consider a group of 15 customers. They will pay ...

  15 × $258 = $3870

in premiums each year.

One-third of those, 5 customers, will submit claims for fillings, so will cost the insurance company ...

  5 × $110 = $550

And 80% of them, 12 customers, will submit claims for preventive check-ups, so will cost the company ...

  12 × $95 = $1140

The net income from these 15 customers will be ...

  $3870 -550 -1140 = $2180

Then the average income per customer is this value divided by the 15 customers in the group:

  $2180/15 = $145.33

_____

<em>Alternate solution</em>

Above, we chose a number of customers that made 1/3 of them and 4/5 of them be whole numbers. You can also work with one premium and the probability of a claim:

  258 - (1/3)·110 - 0.80·95 = 145.33

8 0
3 years ago
Read 2 more answers
Solve the system by the elimination method. -2x + y + 6 = 0 2x + y - 8 = 0 When you eliminate x, what is the resulting equation?
Natali5045456 [20]

For this case we have the following system of two equations with two unknowns:

-2x + y + 6 = 0\\2x + y-8 = 0

Adding both equations we have to eliminate the variable "x":

y + y + 6-8 = 0

Adding common terms, keeping in mind that different signs are subtracted and the sign of the major is placed:

2y-2 = 0\\2y = 2

Answer:

2y = 2

Option A

5 0
3 years ago
PLZ HELP!!! WELL WIN BRAINLIEST!!!! Describe an everyday situation that involves dividing a mixed number by a fraction.
Mekhanik [1.2K]

Answer:

Andy has to paint a 36 1/2 wall purple needs to hang a picture every 1/2  foot. How many paintings can he hang?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Samuel and Christopher go to the movie theater and purchase refreshments for their friends. Samuel spends a total of $34.00 on 6
Llana [10]

Answer:

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

The price of a drink is $1.75

Step-by-step explanation:

Assume that the price of one bag of popcorn is $p and the price of a drink is $d

∵ Samuel spends a total of $34 on 6 bags of popcorn and

   4 drinks

- Multiply p by 6 and d by 4, then add the products and equate

    the sum by 34

∴ 6 p + 4 d = 34 ⇒ (1)

∵ Christopher spends a total of $66.25 on 12 bags of popcorn

    and 7 drinks

- Multiply p by 12 and d by 7, then add the products and equate

    the sum by 66.25

∴ 12 p + 7 d = 66.25 ⇒ (2)

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

Now let us solve it

Multiply equation (1) by -2 to make the coefficients of p in the two equations equal in values and opposite in signs to eliminate it

∵ -12 p - 8 d = - 68 ⇒ (3)

- Add equations (2) and (3)

∴ - d = - 1.75

- Divide both sides by -1

∴ d = 1.75

The price of a drink is $1.75

7 0
3 years ago
Answer are <br> A.8<br> B.10<br> C.40<br> D.34
WITCHER [35]

Answer:

A

Step-by-step explanation:

it’s gonna have to add up to 180°, and 5 x 8 - 6 = 34

89 + 57 = 146

146 + 34 = 180

6 0
3 years ago
Read 2 more answers
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