There are 6 brown, 5 blue, and 2 orange marbles in a hat. What is the probability of picking two orange marbles in a row without returning the marbles back to the hat? (Write your answer as a fraction.)

Answers

Answer 1

Answer:
You start out with (6 + 5 + 2) = 13 marbles in the hat.
You accidentally knock the hat off the table, they all roll out
onto the floor, and you have lost all of your marbles.
You pick them up, put them back in the hat, put the hat back
on the table, and you still have 13 marbles in the hat.

The probability of pulling an orange marble without looking is

   (number of orange ones) / (total number of marbles) = 2/13 .

Now there are only 12 marbles left in the hat. If the first draw
was successful, then there's only 1 orange marble left in there.
The probability of pulling that one without looking is

   (number of orange ones) / (total number of marbles) = 1/12 .

So the probability of BOTH events happening is

      ( 2/13 ) x ( 1/12 ) = 2/156 = 1/78 .

That's the answer in fraction form, like the question wants it.

That fraction is roughly equal to 1.28 % .

Answer 2

Answer: Lets look at the information we have-

6 brown marbles
5 blue marbles
2 orange marbles.

Question:-
What is the probability of picking two orange marbles in a row without returning the marbles back to the hat?
Solve:-

First add all the marbles:-

6 + 5 + 2 = 13

13 marbles in total.

Now lets write the 1st probability:-

2 orange
13 together
$(2)/(13)$

2nd probability:-

13 - 1 = 12

1 orange (left)
12 total (without putting back)
$(1)/(12)$

Hope i helped ya!! xD

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Convert 18/5 to a mixed number

Find the complete factored form of the
polynomial:
-36a5-24b6

Answers

The factored form of the given polynomial (-36a⁵-24b⁶)is -3 × 12a⁵ + (-2 × 12b⁶).

What are polynomials?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
x² - 4x + 7 is an illustration of a polynomial with a single indeterminate x.
They are the cubic polynomial, the zero polynomial, the linear polynomial, and the quadratic polynomial.
The degree of polynomials should be a full number.
Polynomials are not expressions with negative exponents.

So, factor form of -36a⁵-24b⁶:

Now, factorize as follows:

-36a⁵-24b⁶
3 × 12a⁵ + 2 × 12b⁶
-3 × 12a⁵ + (-2 × 12b⁶) (Get common out)

Therefore, the factored form of the given polynomial is -3 × 12a⁵ + (-2 × 12b⁶).

Know more about polynomials here:

brainly.com/question/2833285

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A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline? 33 miles 83 miles 120 miles 270 miles Mark this and return

Answers

Answer:

270 miles

Step-by-step explanation:

if 1 gallon = 18 miles

then 15 gallons = x miles

cross multiply

1 × x = 15×18miles

x = 270 miles

so it travels 270 miles on 15 gallons of gasoline

Arianna has an extensive music DVD collection. She owns 2300 DVD in total. Twenty percent of the DVD's are country music. How many country music DVDs does she own?

Answers

Answer: 460 dvds

Step-by-step explanation:

Since the total is 2300 dvds and 20% (0.2) is country music. You can do 2300 x 0.2. You will get 460 dvds.

What is the result if you divide –12x8y8 by 3x4y2?a. 4x4y6
b. 4x2y4
c. –4x2y4
d. –4x4y6

Answers

When dividing two numbers with the same base but with different powers, you subtract the second power from the first and keep the base. So in our case, -12*x^8*y^8 / 3*x^4*y^2 = -4*x^4*y^6. The correct answer is d.

Answer:

option d is correct

$-4x^4y^6$

Step-by-step explanation:

Using exponent rules:

$(a^n)/(a^m) = a^(n-m)$

Given that:

If you divide $-12x^8y^8$ by $3x^4y^2$

⇒ $(-12x^8y^8)/(3x^4y^2)$

⇒ $(-4x^8y^8)/(x^4y^2)$

Using exponent rules, we have;

⇒ $-4x^(8-4)y^(8-2)$

⇒ $-4x^4y^6$

Therefore, If you divide $-12x^8y^8$ by $3x^4y^2$ we get; $-4x^4y^6$

Solve 2^x=3. round to the nearest ten thousandth

Answers

Answer:

The solution of the expression is x=1.584.

Step-by-step explanation:

Given : Expression $2^x=3$

To find : Solve the expression round to the nearest ten thousandth?

Solution :

Step 1 - Write the expression,

$2^x=3$

Step 2 - Taking log both side,

$\log (2^x)=\log (3)$

Step 3 - Apply logarithmic property, $\log a^x=x\log a$

$x\log (2)=\log (3)$

Step 4 - Solve,

$x=(\log (3))/(\log (2))$

$x=(0.477)/(0.301)$

$x=1.584$

Therefore, The solution of the expression is x=1.584.

$2^(x) = 3$
$log_(2)3 = x$
$(log_3)/(log_2) = x$
$x = 1.585$

A test is worth 50 points. Multiple- choice questions are worth 1 point, and short answer questions are worth 3 points. if the test has 20 questions, how many multiple-choice questions are there?A. m + 3s =20
B.m + 3s + 20 =50
C. m + 3s = 50
D. m + s + 50

Answers

Correct answer is C.
m + 3s = 50
the total number of questions is 20. since the paper is made of only multiple choice and short answer questions, the sum of the multiple choice and short answer questions should be 20.
since multiple choice is 'm' and short answer is 's'
then m + s = 20
but theres no option for that
if we take the number of points
points for 1 multiple choice question - 1
then points for m number of multiple choice questions = 1 * m = m
points for 1 short answer - 3
then points for s number of short answer question = 3 * s = 3s
then total number of points = m + 3s
and the total number of points = 50
therefore
m + 3s = 50
this is the correct answer C.

Answer with Step-by-step explanation:

Points for 1 multiple choice question = 1

Then, points for m number of multiple choice questions = 1 × m = m

Points for 1 short answer = 3

Then points for s number of short answer question = 3 ×s = 3s

Total number of points = m + 3s

and the total number of points = 50

i.e. m + 3s = 50

Hence, correct option is:

C. m+3s=50

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