The winner of a raffle will receive a 21-foot outboard boat. If 6000 raffle tickets were sold and you purchased 30 tickets, wh
2 answers:
Answer: 199: 1.
Step-by-step explanation:
The odds against any event is the ratio of the unfavorable outcomes to the favorable outcomes.
Given , The winner of a raffle will receive a 21-foot outboard boat.
Total raffle tickets were sold = 6000
Number of tickets you have = 30
We assume that the lottery was fair , then, the number of possible outcome that you will win = 30
and the number of possible outcomes that one of the others wins = 6000-30= 5970
Then, the odds against your winning the boat = Number of possible outcomes that one of the others wins : Number of possible outcome that you will win
= 5970: 30 = 199:1 [∵]
Hence, the odds against your winning the boat = 199: 1.
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Answer:
C
Step-by-step explanation:
If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.
Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:
h = ≈ 9.2 feet
The answer is C.
Answer:
m∠JKP = 31.5°
Step-by-step explanation:
Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.
JN is the angle bisector of ∠KJL.
Therefore, m∠KJN = m∠LJN
(7x - 6) = (5x + 4)
7x - 5x = 6 + 4
2x = 10
x = 5
m∠KJN = (7x - 6)
= 7(5) - 6
= 35 - 6
= 29°
In ΔKJN,
m∠JKN + m∠KNJ + m∠NJK = 180°
m∠JKN + 90° + 29° = 180°
m∠JKN = 180°- 119° = 61°
Since KO is the angle bisector of ∠JKN,
m∠JKP =
=
= 30.5°