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noname [10]
4 years ago
12

Consider 3 boxes, each of which contains 4 balls; in particular, box 1 contains 4 white balls, box 2 contains 3 white balls and

1 red ball, box 3 contains 2 white balls and 2 red balls. Frank chooses a box at random. If boxes 1 and 3 are chosen, Frank extracts 2 balls without replacement. If box 2 is chosen Frank extracts 2 balls with replacement. USE ONLY THE CONDITIONAL PROBABILITY FORMALISM and derive an expression for the probability that the 2 extracted balls are red.

Mathematics
1 answer:
Nookie1986 [14]4 years ago
7 0

Answer:

Step-by-step explanation:

find attached the solution

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Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/sWhen Sharon jumps, Megan throws a beach
likoan [24]

Answer:

1.08 seconds

Step-by-step explanation:

given data

<u>first equation:</u>

According to the data, sharon position will be

h(t)= -16 t^{2} + 4t +18---->eq(1)  

<u>Second equation;</u>

When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground to the nearest hundredth of a second

therefore, ball position would be

h(t)= -16t^{2} +16t +5 --->eq(2)

In order to find how long after she jumps does the ball reach Sharon i.e time, we will equate eq(1) and eq(2)

Therefore,

eq(1)= eq(2)

-16t^{2} +4t +18 = -16t^{2} + 16t +5  --->(further simplifying it)

-16t^{2} + 16t^{2} + 18 -5 = 16t - 4t

13 = 12t

t= 13/12

t= 1.08 s

Thus it took 1.08 seconds.

7 0
3 years ago
You kayak up a river at a rate of 48 feet every 30 seconds. You kayak 423 feet every 3 minutes on the way back down the river. H
Mariulka [41]

Answer:

You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river

Step-by-step explanation:

Given:

The rate at which you kayak up a river =  48 feet every 30 seconds.

The rate at which you kayak down a river = 423 feet every 3 minutes

To Find:

How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?

Solution:

Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y

Then  

x =\frac{48}{0.5}     [ Converting 30 seconds to 0.5 minutes]

x =  96 feet per minute

Similarly

y =\frac{423}{3}

y = 141 feet per minute

Now the distance kayaked  up the river in 5 minutes

=>\text{speed of kayaking up the river} \times time

=>96 \times 10 ( in 5 minutes there are 10  30 minutes)

=>960 feet

Now the distance kayaked down the river in 5 minutes

=>\text{speed of kayaking down the river} \times time

=>141 \times 5 ( in 5 minutes there are 10  30 minutes)

=>705 feet

Thus

960-705 =  255 feet

7 0
4 years ago
Which of these is an equivalent expression for 2-3 that uses positive exponents?
dem82 [27]

Answer:

The answer is C. 

In order to make an exponent positive, you just switch it to the opposite part of the fraction. So, for example, 

x^-3= 1/x^3

or 

1/x^-5 = x^5/1

You just switch it to the opposite part of the fraction, and make the exponent positive.

Click to let others know, how helpful is it

Read more on Webcache.googleusercontent.com - https://webcache.googleusercontent.com/question/10102846#readmore

Step-by-step explanation:

6 0
3 years ago
A youth football team has three out of 11 players who played quarterback previously. Based on the information, if there are 250
Anton [14]
It would probably be A
4 0
3 years ago
Andrea wants to build a rectangular dog pen that has an area of 24 square feet. She started drawing up plans on the coordinate g
nekit [7.7K]

Answer:

Width Length Area

1 m 31 m 31 m2

2 m 30 m 60 m2

3 m 29 m 87 m2

4 m 28 m 112 m2

5 m 27 m 135 m2

------------------------------

14 m 18 m 252 m2

15 m 17 m 255 m2

16 m 16 m 256 m2

17 m 15 m 255 m2

18 m 14 m 252 m

Step-by-step explanation:

8 0
4 years ago
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