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leva [86]
3 years ago
7

How do i solve this im totally stuck

Mathematics
1 answer:
inysia [295]3 years ago
5 0
The answer is 6 sqrt(5).

When adding or subtracting radicals with coefficients you simply add/subtract the coefficients. If you are familiar with functions with variables, set x = sqrt(5) then we have

18x - 12x

Now it looks like something you are familiar with and it seems like an obvious answer

6x

now replace the x with the sqrt(5) and you get

6sqrt(5)
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Express 0.00078456 in scientific notation
Annette [7]
7.8456 x 10^(-4)

this means you move the decimal place to the left 4 places to get the actual value
5 0
3 years ago
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Is this answer correct?
andre [41]
Thx no that answer is not correct
5 0
2 years ago
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How many solutions are there to the equation below?<br><br> 12x+6=5x
slavikrds [6]

Answer:  There is one solution to the given equation.

Step-by-step explanation:  We are given to find the number of solutions to the following equation :

12x+6=5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Since the given equation is linear in one variable x, so it will have only one solution.

The solution of equation (i) is given by

12x+6=5x\\\\\Rightarrow 12x-5x=-6\\\\\Rightarrow 7x=-6\\\\\Rightarrow x=-\dfrac{6}{7}.

Thus, there is one solution to the given equation.

7 0
3 years ago
The game of European roulette slots: 18 red, 18 black, and I green. A ball is spun onto the wheel and will eventually land ina s
Anestetic [448]

Answer:

(a) E(x) = -0.081  S.D = 3

(b) E(x) = -0.081  S.D = 1.73

(c) it is less risky to bet $1 in three different rounds as compared to betting $3 in a single round.    

Step-by-step explanation:

(a) You bet $3 on a single round which means that if you win the game, your amount will double ($6), your profit will be $3. Whereas, if you lose the round, your profit will be -$3. You can only bet on red or black and both have 18 slots each.

So, the probability of landing the ball in a red/black slot = 18/37. This is the probability of winning. The probability of losing can be calculated as 1-18/37 = 19/37.

We can make a probability distribution table:

x                    3             -3

P(X=x)         18/37      19/37

Expected value E(x) can be calculated as:

E(x) = ∑ x.P(x)

      = (3)(18/37) + (-3)(19/37)

E(x) = -0.081

Standard deviation can be calculated by the following formula:

Var(x) = E(x²) - E(x)²

S.D = √Var(x)

We need to first calculate E(x²).

E(x²) = ∑x².P(x)

       = (3)²(18/37) + (-3)²(19/37)

       = (9)(18/37) + (9)(19/37)

E(x²) = 9

Var(x) = E(x²) - E(x)²

         = 9 - (-0.081)²

Var(x) = 8.993

S.D = √8.993

S.D = 2.99 ≅ 3

(b) Now, the betting price is $1 and 3 rounds are played. We will compute the expectation for one round and then add it thrice to find the expectation for three rounds. Similarly, for the standard deviations, we will add the individual variances and then consider the square root of it.

E(x) = ∑ x.P(x)

      = (1)(18/37) + (-1)(19/37)

E(x) = -0.027

Standard deviation can be calculated by the following formula:

Var(x) = E(x²) - E(x)²

S.D = √Var(x)

We need to first calculate E(x²).

E(x²) = ∑x².P(x)

       = (1)²(18/37) + (-1)²(19/37)

       = (1)(18/37) + (1)(19/37)

E(x²) = 1

Var(x) = E(x²) - E(x)²

         = 1 - (-0.027)²

Var(x) = 0.9992

The expectation for one round is -0.027

For three rounds,

E(x₁ + x₂ + x₃) = E(x₁) + E(x₂) + E(x₃)

                     = (-0.027) + (-0.027) + (-0.027)

E(x₁ + x₂ + x₃) = -0.081

Similarly, the variance for one round is 0.9992.

Var (x₁ + x₂ + x₃) = Var(x₁) + Var(x₂) + Var(x₃)

                           = 0.9992 + 0.9992 + 0.9992

Var (x₁ + x₂ + x₃) = 2.9976

S.D = √2.9976

S.D = 1.73              

(c) The expected values for both part (a) and (b) are the same but the standard deviation is lower in part (c) as compared to (b). Since the standard deviation is less in part (c), it means that it is <u>less risky to bet $1 in three different rounds as compared to betting $3 in a single round.</u>            

5 0
2 years ago
Please help . . . Thank you!
Anettt [7]

Answer:

i think this is the answer aha

to get from 5 to 55 you times by 11

so i think to get from 11.8 to x you do the same thing and multiply by 11.

11.8×11=129.8

so x= 129.8

i think aha

8 0
3 years ago
Read 2 more answers
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