HELP PLEASE PLEASE!!!!!

a marble bag contains three red marbles and four gray marbles six white marbles and five black marbles what is the probability o

Andrews [41]

Answer:

1/27

Step-by-step explanation:

do good!

3 0

3 years ago

Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0

3 years ago

RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly

tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

$C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120$

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. Bethany collected 200 survey responses regarding recycling b

Nimfa-mama [501]

Answer:

13% did not participate in citys recycling program not sure about the first part

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A model rocket was launched from the ground and shot 150 feet straight up.It then fell back down to the ground and landed in the

Elena L [17]

The list of choices you included doesn't have any correct expressions on it.

-- If the rocket went straight up, and then dropped back at the same place
it was launched from, then it must have dropped straight down.

-- The route it followed on the way down was exactly the same as the
route it followed on the way up.

-- Since it reached a maximum height of 150-ft from the ground
and the route was straight, the length of the route was 150-ft.

-- (150-ft going up) plus (150-ft coming down) = 300-ft traveled all together.

8 0

4 years ago