Tenaya earned 82 points on one math test and 94 points on the next test. Elena earned 94 points on the first test and then 82 po
1 answer:
Answer:
Total test score of Tenaya and Elena are same.
Step-by-step explanation:
Given:
Points earned by Tenaya on one math test = 82
Points earned by Tenaya on next math test = 94
Points earned by Elena on first math test = 94
Points earned by Elena on next math test = 82
We need to Compare the total test scores for Tenaya to the total scores for Elena.
Solution:
First we will find the Total test score of Tenaya and Elena.
Now we can say that;
Total test score of Tenaya is equal to sum Points earned by Tenaya on one math test and Points earned by Tenaya on next math test.
framing in equation form we get;
Total test score of Tenaya =
Total test score of Elena is equal to sum Points earned by Elena on one math test and Points earned by Elena on next math test.
framing in equation form we get;
Total test score of Elena =
Hence from we can say that Total test score of Tenaya and Elena are same.
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Answer:
The probability that he ends up with a full house is 0.0083.
Step-by-step explanation:
We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.
We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).
We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);
- If he is given with two kings.
- If he is given one king and one ace.
Only in these two situations, he will end up with a full house.
Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.
So, the ways in which we can draw two kings from available three kings is given by = {∵ one king is already there}
= {∵
}
= = 0.0028
Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =
=
= = 0.0055
Now, probability that he ends up with a full house =
= = <u>0.0083</u>.