one number is chosen from the first three prime numbers, and a second number is chosen from the first three positive composite numbers. what is the probability that their sum is greater than or equal to 9? express your answer as a common fraction
two numbers, x and y, each between 0 and 1, are multiplied. if the tenths digit of x is 1 and the tenghts digit of y is 2, what is the greatest possible value of the hundredths digit of the product?
one number is chosen from the first three prime numbers, and a second number is chosen from the first three positive composite numbers. what is the probability that their sum is greater than or equal to 9? express your answer as a common fraction
The first three prime numbers are 2, 3, & 5
The first three composite numbers are 4, 6, & 8
Make a grid – the numbers inside are the sums
4 6 8
2 6 8 10
3 7 9 11
5 9 11 13
As you can see, there are 9 totals and 6 of them are greater than or equal to 9.
Therefore the probability is 6/9 which reduces to 2/3
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two numbers, x and y, each between 0 and 1, are multiplied. if the tenths digit of x is 1 and the tenghts digit of y is 2, what is the greatest possible value of the hundredths digit of the product?
Not sure I understand the question, but I'll try.
x = 0.1 and then some more
y = 0.2 and then some more
Let's try some numbers and see if we can see a pattern.
0.11 • 0.21 = 0.0231 hundredths is 2
0.12 • 0.22 = 0.0264 hundredths is 2
0.13 • 0.23 = 0.0299 hundredths is 2
0.14 • 0.24 = 0.0336 hundredths is 3
Let's skip ahead and see what happens.
0.18 • 0.28 = 0.0502 hundredths is 5
0.19 • 0.29 = 0.0551 hundredths is 5
0.1999999999999 • 0.2999999999999 = 0.5999999999995
I don't think it's going to break over to 6 unless you round it to fewer significant digits.
So I'm going out on a limb here and say the largest number that can be in the hundredths place is 5.
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