In a bag , there are 5 blue marbles, 3 red marbles and 2 green marbles. if there marbles are chosen consecutively at random without replacement, what is the probility that the color of the chosen marbles would be blue-red-green in that order?

First, you have a 5/10, or 1/2 chance of getting a blue.

Then, for red, it would be 3/9, or 1/3, because you already drew a marble out.

Finally, green would be 2/8, or 1/4, because by now you've already drawn out 2 marbles.

Multiply each of the chances: 1/2 * 1/3 * 1/4

The answer will be 1/24

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places