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OleMash [197]
3 years ago
9

At a certain time of day, the sun causes objects to cast shadows at a 65° angle with the ground. At this time of day, a flagpole

Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0

Answer:

D   19 feet

Step-by-step explanation:

Let x = height of flagpole

tan 65 = x/9

9tan 65 = x

x = 19.3 ≅ 19 ft. to the nearest foot

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In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20
DiKsa [7]

The percentage of winning if 20 winning numbers are randomly selected from numbers 1 to 80 is 12.48%.

Given There are 80 numbers from which 20 numbers are selected randomly in a game of Keno by player and after selection of 20 winning numbers again 20 numbers are selected and player wins if the player has correctly selected 3,4,or 5 of the 20 winning numbers.

Probability is the chance of happening an event among all the events possible.

Probability of winning is calculated as under:

Probability=C(20,3)C(60,17)/C(80,20)

We have taken C(20,3) because player will win if 5 numbers are selected from 20 winning numbers.

We have taken C(60,17) because after selection of 20 numbers 60 numbers will left from 80 and after winning from 3 numbers 17  numbers left and from total 80, 20 numbers are taken.

=C(20,3)C(60,17)/C(80,20)

=(20!/3!17!  * 60!/17!43!)/80!/20!60!

=1140*387221678682300/35353161422121743200

=12.48%

Hence the probability of winning is 12.48%.

Learn more about probability at brainly.com/question/24756209

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Step-by-step explanation:

3 0
3 years ago
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