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3 years ago

A bag contains 12 green marbles and 9 white marbles. In simplest form, what are the odds in favor of drawing a white marble?

Mathematics

2 answers:

aksik [14]3 years ago

4 0

Total number of marbles: 12+9 = 21
Possibility of withdrwaing a white marble = 9/21 = 3/7 = 3:7

Ann [662]3 years ago

3 0

Well if you take the two numbers and divide them, 9/12 you get 3/4 i would probably say B. 3:4

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What are the solutions of the equation x^4 – 5x^2 – 36 = 0? Use factoring to solve.

hammer [34]

Answer:

Step-by-step explanation:

The equation is x^4 – 5x^2 – 36 = 0

We will break the middle term:

Firstly multiply the coefficient of x^4 by constant term of the equation:

1*36 = 36

Now find any two numbers whose product is 36 and their sum or difference is equal to 5

9*4 = 36

9-4 = 5

Now,

x^4 – 5x^2 – 36 = 0

x^4-9x^2+4x^2-36=0

Now take the common:

x^2(x^2-9)+4(x^2-9)=0

(x^2+4)(x^2-9)=0

x²+4=0,

x²= 0-4,

x²=-4,

Take root on both sides:

√x²=+/-√-4

+/-√-4 = +/-√-1 *√4

√-1 = i

Then +/-√-1 *√4 = √4 i

We know that the root of 4 is 2

Then we can write it as +/-2i

Thus x = 2i , -2i

Now (x^2-9)= 0

x²=0+9

x²=9

Take square root on both sides:

√x²=√9

x=+/-3

x= 3, -3

Therefore the values of x are 2i, -2i, 3 , -3 ....

3 0

2 years ago

Evaluate the following expression for: x= -2, y=4, z=-3<br><br> 4(2x+y)-2y+z

otez555 [7]

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$\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

Evaluate the expression 4(2x+y)-2y+z for x=-2, y=4 and z=-3

$\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}$

Before inserting the values of the variables, I recommend writing the equation in its simplest form.

First, use the distributive property and distribute 4:-

8x+4y-2y+z

Simplifying,

8x+2y+z

Now that the expression is in its simplest form, we can substitute the variables and simplify the expression.

First, write -2 in lieu of x:-

8(-2)+2y+z

-16+2y+z

Now, write 4 in lieu of y:-

-16+2(4)+z

-16+8+z

-8+z

Final step:-

write -3 in lieu of z:-

-8+(-3)

-8-3

-11

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7 0

2 years ago

True-False: Please select true or false and click "submit."

harina [27]

A true

because 53•(41•11)=23,903 and (53•41)•11=23,903

Hope this helped

4 0

3 years ago

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Solve for x in the equation 3 x squared minus 18 x + 5 = 47.

ryzh [129]

Answer:

x= 3 + $\sqrt{23}$ , 3 - $\sqrt{23}$

Step-by-step explanation:

You use the quadratic formula to get x= $\frac{18+6\sqrt{23} }{6} ,\frac{18-6\sqrt{23} }{6}$

Then you simplify and get the answers x= 3 + $\sqrt{23}$ , 3 - $\sqrt{23}$

6 0

3 years ago

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If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting two queens and one king

NeX [460]

There are 4 choose 3 ways to hold 3 kings and 4 possible queens to make up the fourth card of the hand out of a total of 54 choose 4 possible four-card hands, which gives us the following expression for the probability of being dealt 3 kings and a queen out of 4 cards: Or roughly 1 in every 16920 four card hands.

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2 years ago

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