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Valentin [98]
3 years ago
14

Reiko takes 2 coins at random from the 3 quarters, 5 dimes, and 2 nickels in her pocket. three coins are tossed. what is the pro

bability of 2 heads and 1 tail? what is the probability that she chooses a quarter followed by a dime?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0
The answers are 3/8 and 1/6.

There are 8 possible outcomes in the sample space for flipping 3 coins.  Of those, 3 include two heads and 1 tail.  This makes the probability 3/8.

Choosing a quarter for the first coin is 3/10, since there are 3 quarters out of 10 coins.  After this, choosing a dime is given by 5/9, since there are 5 dimes out of 9 coins left:
3/10(5/9) = 15/90 = 1/6
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Answer:

B

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8 0
3 years ago
What are the solutions to the equation (2x - 5) (3x - 1) = 0
SCORPION-xisa [38]

Answer:

x = 5/2 & x = 1/3

Step-by-step explanation:

Create two equations and solve

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x = 5/2

2) 3x = 1

x = 1/3

You create two equations as you want the left hand side (LHS) to equal 0 (RHS), thus if one of the brackets becomes 0 it will result in the whole LHS beocming 0 as the brackets are being multiplied (anything multiplied by 0 = 0)

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3 years ago
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Serjik [45]
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5 0
3 years ago
A small airplane flies 1200 miles with an average speed of 300 miles per hour. 2 hours after the plane leaves, a Boeing 747 leav
inysia [295]

The small plane has the following parameters

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time = ?

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\begin{gathered} \text{distance = sp}eed\times\text{ time} \\ d\text{ = 300 }\times6 \\ d\text{ =1800 miles} \end{gathered}

So the total distance = 1800 miles

Hence the speed of the Boeing 747 will be

\begin{gathered} \text{Speed =}\frac{dis\tan ce}{time} \\ \text{distance = 1800 miles } \\ time\text{ = 2hours} \end{gathered}\begin{gathered} \text{speed = }\frac{1800}{2} \\ \text{speed = 900 miles/hour} \end{gathered}

The average speed of the Boeing 747 is 900 miles/ hour

8 0
1 year ago
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