Given the six rational numbers below, come up with the greatest sum, difference, product,
1 answer:
The greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
<h3>How to determine the operations</h3>Given the numbers -5 1/2, 3. 75, -20. 8, -4, 11 1/4
a. SUM
=8 +
=
=
=
= 9
B. Difference
= 8 - (-4)
= 8 + 4
= 12
C. Product
=
=
= 90
D. Quotient
=
= 26
Thus, the greatest sum, difference, product and quotient is 9, 12, 90 and 26 respectively.
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To solve this, we would need to figure out the values of for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.
If we rearrange this equation a little bit, we get,
So <em>cannot </em>be negative. So,
For this to <em>have </em>a solution, k needs to be greater than or equal to .
For <em>no solution</em>, k is less than -5. So, values of k which will make the equation to <em>not </em>have any solution is .
ANSWER:
a. There are four 5s that can be drawn, and ways of drawing any three of them. There are
ways of drawing any three cards from the deck. So the probability of drawing three 5s is
In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of of getting drawn.
b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability of being drawn.
c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of .
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Note: is the binomial coefficient,