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slava [35]
3 years ago
5

Five balls are numbered 1 through 5 and placed in a bowl. josh will randomly choose a ball from the bowl, look at its number and

then put it back into the bowl. then josh will again randomly choose a ball from the bowl and look at its number. what is the probability that the product of the two numbers will be even and greater than 10? express your answer as a common fractio
Mathematics
1 answer:
svetlana [45]3 years ago
3 0
1/5

Each of the 5 balls has 5 possible combinations, as each one (1 - 5) can be paired with any of the 5. Therefore, the total number of combinations is 25.
For the product to be even, one of the balls has to be a 2 or 4. However, 2 multiplied by any number 1 - 5 is not greater than 10, so 2 is not an option. This means one of the balls has to be a 4.
There are only 3 numbers of 1 - 5 that, when multiplied by 4, are greater than 10. These are 3, 4, and 5.
This means that there are 5 combinations that work:
3 × 4 = 12
4 × 3 = 12
4 × 4 = 16
4 × 5 = 20
5 × 4 = 20

This means that 5 out of 25 combinations produce a result that is both even and greater than 10.
5/25 is then simplified to 1/5
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2. My bank account contains pesos 3021 and make monthly withdrawals of pesos 78 for 12 months. What is my new bank balance.
Agata [3.3K]

Answer:

ok I will try solve your problem. good luck

Step-by-step explanation:

a. known: Bank balances : 3021 pesos

monthly withdrawals: 78 pesos

months of withdrawal: 12 months

b. asked: new bank balance?

c. equation: New bank balance= bank balance - ( monthly withdrawals X months of withdrawal)

d. New bank balance: 3021- (78x12)

= 3021 - 936

= 2085 pesos

e. my new bank balance is 2085 pesos.

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Tanzania [10]
1/3m +3 - 5/6m= -15
I am going to change the first fraction to match the second fraction
2/6m +3 - 5/6m= -15
Simplify by subtracting 5/6m from 2/6m
-3/6m +3 = -15
Subtract 3 from each side
-3/6m = -18
Take the minus signs off
3/6m = 18
Simplify 
1/2m = 18
Divide by 1/2 on each side
m= 18 ÷ 1/2= 36
Option D, m is 36

Hope this helped
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