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3 years ago

Bag A contains 3 red balls and 3 blue balls.

Mathematics

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

30% probability that the ball taken from B is red.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Red ball from urn A:

3/6 = 1/2 probability of getting a red ball from urn A.

Then urn B will have 5 balls, 2 of which are red, so 2/5 probability of getting a red ball.

Blue ball from urn A:

3/6 = 1/2 probability of getting a blue ball from urn A.

Then urn B will have 5 balls, 1 of which is red, so 1/5 probability of getting a red ball.

Total:

$p = \frac{1}{2}*\frac{2}{5} + \frac{1}{2}*\frac{1}{5} = \frac{2}{10} + \frac{1}{10} = \frac{3}{10}$

3/10 = 0.3 = 30%.

30% probability that the ball taken from B is red.

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1.Write an example of how the product of two different irrational numbers can be a rational number.

Digiron [165]

Answer:

1 "The product of two irrational numbers is SOMETIMES irrational." The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product.

2 The quotient has widespread use throughout mathematics, and is commonly referred to as a fraction or a ratio. For example, when dividing twenty (the dividend) by three (the divisor), the quotient is six and two thirds. In this sense, a quotient is the ratio of a dividend to its divisor.

3 The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."

Step-by-step explanation:

3 0

3 years ago

2 lb, 891g, 1 kg, 0.02 T greatest to least

stealth61 [152]

To arrange in descending order or greatest to least, we will first convert all the values in same unit.

Lets convert all the values in kg

1 lb = 0.45 kg

2 lb = $2\times0.45=0.9$ kg

1 g = 0.001 kg

891 g = $891\times0.001=0.891$ kg

1 T = 907.185 kg

0.02 T = $0.02\times907.185=18.14$ kg

Hence all values in kg becomes = 0.90 kg , 0.891 kg , 1 kg , 18.14 kg

So in descending order the values become

0.02T, 1 kg, 2 lb, 891 g

8 0

3 years ago

Read 2 more answers

Y=5x-4y = 5 x − 4<br><br> y=-x+2

Nadya [2.5K]

Answer:

Y= x+2 " substituting value of y

Step-by-step explanation:

Y=5x-4y = 5x - 4

or, 5x - 4(x+2) = 5x - 4

or, 5x - 4x+ 8 = 5x-4

or, x +8 = 5x - 4

or, 0= 5x - x - 4-8

or, 0= 4x - 12

5 0

3 years ago

Solve the following inequality.

Crazy boy [7]

Answer:

A -6 < x ≤ -3

Step-by-step explanation:

21 ≤ - 3(x - 4) < 30

Divide all parts by -3. Remember that flips the inequalities

21/-3 ≥ - 3/-3 (x - 4) > 30/-3

-7 ≥ (x - 4) > -10

Add 4 to all sides

-7+4 ≥ x - 4+4 > -10+4

-3 ≥ x > -6

Rearranging the order

-6 < x ≤ -3

4 0

4 years ago

2x-y=-1 , 3x-y=2 solve by substition

Mazyrski [523]

Answer:

x = 3, y = 7

or (3,7)

Step-by-step explanation:

We are given the system of equations below:

$\large{ \begin{cases} 2x - y = - 1 \\ 3x - y = 2 \end{cases}}$

We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.

By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)

$\large{ \begin{cases} y= 2x + 1\\ 3x - y = 2 \end{cases}}$

Then we substitute y = 2x+1 in the second equation.

$\large{3x - (2x + 1) = 2}$

Use the distribution property.

$\large{3x - 2x - 1 = 2}$

Isolate x-term to solve the equation.

$\large{x = 2 + 1} \\ \large{x = 3}$

Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.

$\large{2x - y = - 1} \\ \large{2(3) - y = - 1} \\ \large{6 - y = - 1}$

Isolate and solve for y-term.

$\large{6 + 1 = y} \\ \large{7 = y} \\ \large{y = 7}$

Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)

Hence, the solution is (3,7)

7 0

3 years ago