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3 years ago

Please solve. best answer gets rewarded! show step by step.

Mathematics

2 answers:

Mrrafil [7]3 years ago

6 0

2x-4-5x=2
2x -5x= -3x
-4-3x= 2
+4 +4
------------
-3x = 6
------------------
-3 -3

x = -2

sukhopar [10]3 years ago

4 0

Hey!

Let's write the problem.
$2x-4-5x=2$
Add like terms...
$-3x-4=2$
Add $4$ to both sides.
$-3x-4+4=2+4$
$-3x=6$
Divide both sides by $-3$ .
$\frac{-3x}{-3}=\frac{6}{-3}$

Our final answer would be,
$x=-2$

Thanks!
-TetraFish

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3 years ago

Read 2 more answers

A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win $1.10; if

topjm [15]

Answer:

a) The expected value is $\frac{-1}{15}$

b) The variance is $\frac{49}{45}$

Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is $\binom{10}{2}$ .

Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is $\binom{5}{2}$ . Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is $\binom{5}{1}\cdot \binom{5}{1}$ . So, we define the following probabilities.

Probability of winning: $\frac{2\binom{5}{2}}{\binom{10}{2}}= \frac{4}{9}$

Probability of losing $\frac{(\binom{5}{1})^2}{\binom{10}{2}}\frac{5}{9}$

Let X be the expected value of the amount you can win. Then,

E(X) = 1.10*probability of winning - 1 probability of losing = $1.10\cdot \frac{4}{9}-\frac{5}{9}=\frac{-1}{15}$

Consider the expected value of the square of the amount you can win, Then

E(X^2) = (1.10^2)*probability of winning + probability of losing = $1.10^2\cdot \frac{4}{9}+\frac{5}{9}=\frac{82}{75}$

We will use the following formula

$Var(X) = E(X^2)-E(X)^2$

Thus

Var(X) = $\frac{82}{75}-(\frac{-1}{15})^2 = \frac{49}{45}$

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4 years ago

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SOVA2 [1]

The number of red beads are increasing by 2 for each new pattern
The next number of reds will be 12. ( in patern 5)

number of blue beads in pattern 5 will be 15 ( increasing by 3 )

nth term for red = 4 + 2 (n-1) ( its an arithmetic sequence)

nth term for blue = 3 + 3(n - 1) - as above ,arithmetic.

Total beads in pattern 45 is

No. red beads in pattern 26 = 4 + 2(26-1) = 4 + 50 = 54
No blue beads in pattern 60 = 3 + 3(59) = 180

Total number of beads in pattern 45 is:-

4 + 2(44) + 3 + 3(44) = 227

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3 years ago

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dimulka [17.4K]

Answer:

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Step-by-step explanation:

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