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Evgen [1.6K]
3 years ago
5

Randy has 4 pennies, 2 nickles, and 3 dimes in his pocket. If he randomly chooses 2 coins, what is the probability that they are

both dimes if he doesn’t replace the first one?
Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

1/27

Step-by-step explanation:

If he has 9 coins in total which gives him a 1/9 chance to pull any random coin he would also have a 1/3 chance to pull a dime from the given 9 coins. YOu multiply the likelihood of the situations together to get a final probablity of 1/27

eduard3 years ago
6 0

Answer:

1/12

Step-by-step explanation:

This is a case of joint probability.

There are a total of (4 + 2 + 3) coins in his pocket:  9 coins.

The prob. of his choosing a dime on the first selection is 3/9, or 1/3, since there are 3 dimes out of a total of 9 coins.

Now there are 8 coins, 2 of which are dimes.  The prob. of choosing a dime on the 2nd selection is 2/8, or 1/4.

The joint probability is thus (1/3)(1/4) = 1/12.

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A truck is 300 miles east of a car and is traveling west at the constant speed of 30 miles/hr meanwhile the car is going north a
Lerok [7]

Answer:

d(t)=\sqrt{(300+30t)^2+(60t)^2}

Step-by-step explanation:

Let t represents the time in hours,

We know that,

Speed =\frac{Distance}{Time}

\implies Distance = Speed\times time

Since, the speed of truck = 30 miles per hour,

So, the distance covered by the truck in t hours = 30t miles,

Similarly,

Speed of car = 60 miles per hour,

So, the distance covered by car in t hours = 60t miles,

∵ Truck is 300 miles east of the car initially,

Thus, the distance of the truck from the starting point = 30t + 300,

While the distance of the car from the starting point = 60 t,

Now, these two vehicles are going in the directions which are at right angled ( car is going north and truck is going west )

Using the Pythagoras theorem,

Distance between them after t hours,

d(t)=\sqrt{(300+30t)^2+(60t)^2}

Which is the required function.

3 0
3 years ago
Pick correct graph from multiple choice options. A.B.C.D
True [87]

Answer:

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3 0
3 years ago
What is 28- 12.5% decrease???
OLEGan [10]
Ok so I assume
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answer is 24.5
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shusha [124]

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Step-by-step explanation:

∠A = ½·132° = 66°

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3 years ago
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