Answer:
the two positive consecutive integers are 4 and 6.
Step-by-step explanation:
Let the smaller integer be s; then s^2 = (s + 2) + 10.
Simplifying, s^2 - s - 2 - 10 = 0, or
s^2 - s - 12 = 0.
Solve this by factoring: (s - 4)(s + 3) = 0.
Then s = 4 and s = -3.
If the first even integer is 4, the next is 6. We omit s = -3 because it's not even.
The smaller integer is 4. Does this satisfy the equation s^2 = (s + 2) + 10?
4^2 = (4 + 2) + 10 True or False?
16 = 6 + 10 = 16.
True.
So the two positive consecutive integers are 4 and 6.
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Answer:
It is very likely that Rosa wins both prizes.
Step-by-step explanation:
The probability of winning a T‐shirt is 0.89 and the probability of winning a $20 gift certificate is 0.05. Which statement correctly describes the chances of Rosa winning a T‐shirt or a $20 gift certificate?
We have these three possibe outcomes.
Win t-shirt(0.89 probability) and lose the gift certiciate(1 - 0.05 = 0.95 probability)
Lose t-shirt(0.11 probability) and win the gift certiciate(0.05 probability).
Win both.
So
0.8955 = 89.55% probability of Rosa winning a T‐shirt or a $20 gift certificate, which is considered a very likely probability. So the answer is:
It is very likely that Rosa wins both prizes.
Answer:
B ; Point B
Step-by-step explanation: