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Marrrta [24]
4 years ago
6

Svana wants to solve the equation x - 1.0675 = 3x - 4145.

Mathematics
2 answers:
AysviL [449]4 years ago
3 0

Answer: D

Step-by-step explanation:

Given that Svana wants to solve the equation 1/2x - 1.0675 = 3x - 4145.

This equation is a system of equations which can be solved by using simultaneous equation methods.

But if she uses a graphing program to graph the equations y = 1/2x - 1.0675 and y = 3x - 4.145

The solution of 1/2x - 1.0675 = 3x - 4.145. Will be the point of intersection of the two equation.

Trace the point of intersection to the x - axis and also to the y - axis.

The solution to the system of equations is ( 1.231, - 0.452 )

Genrish500 [490]4 years ago
3 0

Answer:

It’s b

Step-by-step explanation:

I literally just did it

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Answer:

x=8

Step-by-step explanation:

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If you draw a card with a value of four or less from a standard deck of cards I will pay you $43 if not you pay me $10. Step 1.
Vera_Pavlovna [14]

The expected value of the game is its average earnings

  • The expected value of a round is $2.23
  • The expected value when the game is played 755 times is $1683.65

<h3>How to determine the expected value of a round</h3>

There are 12 cards with a value of 4 or less.

So, the probability of selecting a card with a value of 4 or less is:

P(x \le 4) = \frac{12}{52}

The probability of selecting a card with a value more than 4 is the complement of the above probability.

So, we have:

P(x > 4) = 1 - \frac{12}{52}

P(x > 4) =  \frac{40}{52}

The expected value is then calculated as:

E(x) = \frac{12}{52} * 43 - \frac{40}{52} * 10

Evaluate

E(x) = \frac{12* 43 - 40 * 10}{52}

E(x) = \frac{116}{52}

Simplify

E(x) = 2.23

Hence, the expected value of a round is $2.23

<h3>The expected value when the game is played 755 times</h3>

In (a), we have:

E(x) = 2.23

In probability, we have:

E(nx) = n * E(x)

So, we have:

E(755x) = 755 * 2.23

E(755x) = 1683.65

Hence, the expected value when the game is played 755 times is $1683.65

Read more about expected values at:

brainly.com/question/15858152

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Answer: Choice D.  6.44 \times 10^{-4}

========================================================

Work Shown:

We multiply the coefficients 9.2 and 7 to get 64.4, which is the same as 6.44*10^1 in scientific notation. When multiplying exponential expressions with the same base, we add the exponents

This is what the steps could look like

\left(9.2 \times 10^{-9}\right)\times\left(7 \times 10^{4}\right)\\\\\left(9.2\times7\right)\times\left(10^{-9} \times 10^{4}\right)\\\\\left(64.4\right)\times\left(10^{-9+4}\right)\\\\\left(6.44\times 10^{1}\right)\times\left(10^{-5}\right)\\\\6.44\times\left(10^{1}\times 10^{-5}\right)\\\\6.44\times\left(10^{1+(-5)}\right)\\\\6.44\times 10^{-4}\\\\

The final result is in scientific notation as the coefficient c is restricted such that 0 \le c < 10

7 0
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