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boyakko [2]
2 years ago
6

Is Event B dependent or independent of Event A? A: A green ball is drawn from a box with five balls and placed next to the box.

B: A red ball is drawn next and placed next to the green one.Please provide detail.
Mathematics
1 answer:
Zarrin [17]2 years ago
6 0

Answer:

Step-by-step explanation:

Given that events are as follows:

A: A green ball is drawn from a box with five balls and placed next to the box. B: A red ball is drawn next and placed next to the green one

i.e. drawings of balls are made without replacement

Suppose there are m green balls and n red balls, where m+n =5

Prob of drawing green ball =m/5

After I draw made remaining are n red balls and m-1 green balls

Prob of drawing red ball now =n/4

Prob for drawing one green and one red simultaneously = \frac{mC1*nC1}{5C2} \\= \frac{mn}{10}

Product of the two probabilities = \frac{m}{5} *\frac{n}{4} \\=\frac{mn}{20}

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Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers
Westkost [7]

Answer:

Miguel start to swim when Ario has traveled 4.4 m.

Step-by-step explanation:

The total lenght of the pool is 25.

Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is 25-3 m= 22 m.

Assume that the distance traveled by Ario before Miguel start to swin is x. That means, the remaining distance to Ario (to cover the total size of the pool) is 22-x.

Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.

That is,

\frac{x}{22-x}=\frac{1}{4} .

So, we need to obtain x from this equation. We must note that x\neq 22, otherwise we have a zero in the denominator.

So, we rearrange the equation,

4x=22-x (Multiplying both sides of equation by (4(22-x)).

Then, 5x=22.

Therefore, x=4.4 m.

3 0
2 years ago
Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on h
ZanzabumX [31]

Answer:

The range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26}  [where x is in dollar]

Step-by-step explanation:

Let, the car rental rate be  $ x per day .

Jamal's trip will last for 4 day.

He expects to pay $ 24 for gas  (if he rents the car)

He expects a  taxi service would cost about $ 128

So, for the rental car option to be cheaper than the taxi option, the following inequality must follow,

128 > 24 + 4x

⇒ 4x < 104

⇒ x < 26

So, the range of rental car rates that would be cheaper for Jamal than the taxi service is given by,

A ={x| 0 ≤ x < 26} [where x is in dollar]

3 0
2 years ago
&lt;&gt;) Melinda
Vanyuwa [196]

Answer:

The statement "500 divided by 50 is 10" is a true statement

Step-by-step explanation:

In mathematics, we have a term that we refer to as Place Value.

Place Value in mathematics can be defined as the value that a digit has based on its position or place in a number.

Examples of place value is:

Thousands represented by Th

Hundreds represented by H

Tens represented by T

Units represented by U

In the above question,

500 ÷ 50 gives us 10.

This is true because, 500 as a number, the Digit 5 has a place value of hundreds

50 as a number , the digit 5 has a place values of Tens.

10 as a number, the digit 1 has a place value of Tens.

In mathematics, the multiplication of 2 numbers in a place value of Tens always gives us a place value of hundreds.

For example, 10 × 50 = 500

Likewise, when we divide, a number with a place value of hundreds by a number with a place value of tens, we have a number with a place value of tens.

For example: 500 ÷ 50 = 10.

Therefore, the statement "500 divided by 50 is 10" is a true statement

7 0
2 years ago
In parallelogram ABCD, the measure of angle ABC is 130, find the measure, in degrees of angle DAB
77julia77 [94]
Angle ABC = 130
Angle ABC = Angle ADC = 130 (Opposite angles are equal)
Angle DAB = 180 - 130 = 50 (consecutive interior angles)

I HOPE IT IS HELPFUL:D
6 0
2 years ago
Read 2 more answers
Each type of cable has a prescribed bend radius , which is the radius of the maximum arc into which you can loop a cable without
tiny-mole [99]
The question is asking whether it is true or false so my answer is true.
7 0
2 years ago
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