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Svetradugi [14.3K]
3 years ago
13

3x + 2y = 12 How do I solve

Mathematics
2 answers:
Firdavs [7]3 years ago
7 0

divide 3 from 3x and 12 and then divide 2 from 2y and 12 and you should have your answer.

densk [106]3 years ago
5 0

Answer:

y= -3/2x+6

Step-by-step explanation:

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The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number

In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number

Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)

Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)

Let X be the number of times the die is rolled

The probability of getting a prime =

P(Prime) = \frac{4}{10}

Now, the value of

E(X)=∑x.P(x) [ x-> {1, infinity}]

= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)

= 1.\frac{4}{10} + 2. \frac{6}{10}.\frac{4}{10} + 3.\frac{6}{10}.\frac{6}{10}\frac{4}{10} + 4. \frac{6}{10}.\frac{6}{10}.\frac{6}{10}.\frac{4}{10}.......

Hence, this is the value of E(x)

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4 0
2 years ago
Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of T. How much w
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Tank A capacity = 550 gallons       66% x 550 gallons = 363 gallons in Tank A

How about the water in tank B?

ratio of  11: 15      11/15 = 550/x          550 * 15/11 = cap B = 750 gal       53% 0f 750 = .53 x 750 = 397.5 gal in tank B

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In the cycle of the scientific method, statistics help you
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3 years ago
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on
insens350 [35]
1) We have that there are in total 6 outcomes If we name the chips by 1a, 1b, 3 ,5 the combinations are: 1a,3 \ 1b, 3 \1a, 5\ 1b, 5\ 3,5\1a,1b. Of those outcomes, only one give Miguel a profit, 1-1. THen he gets 2 dollars and in the other cases he lose 1 dollar. Thus, there is a 1/6 probability that he gets 2$ and a 5/6 probability that he loses 1$.
2) We can calculate the expected value of the game with the following: E=\frac{1}{6}*2- \frac{5}{6} *1. In general, the formula is E= \sum{p*V} where E is the expected value, p the probability of each event and V the value of each event. This gives a result of E=2/6-5/6=3/6=0.5$ Hence, Miguel loses half a dollar ever y time he plays.
3) We can adjust the value v of the winning event and since we want to have a fair game, the expecation at the end must be 0 (he must neither win or lose on average). Thus, we need to solve the equation for v:
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5) We can approach the problem just like above and set up an equation the value of one sector as an unknown. But here, we can be smarter and notice that the average outcome is equal to the average outcome of the blue sector.  Hence, we can get a fair game if we make the value of the blue sector 0. If this is the case, the sum of the other sectors is 0 too (-2/7+0+2/7) and the expected value is also zero.
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This is the average payoff of the firm per year.
8) The firm goes even when the total profits equal the investment. Suppose we have that the firm has x years in business. Then x*300=1200 must be satisfied, since the investment is 1200$ and the payoff per year is 300$. We get that x=4. Hence, Claire will get her investment back in 4 years.
8 0
3 years ago
Read 2 more answers
Clare made a smoothie with 1 cup of yogurt, 3 tablespoons of peanut butter, 2 teaspoons of chocolate syrup, and 2 cups of crushe
Ugo [173]

Answer: it was probably more chocolaty because he added 5 teaspoons instead of 4 which is 2 doubled

Step-by-step explanation:

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