Evaluate (7.1x 10³)+(4.6 x 10⁶)² Give your answer in standard form to 3SF
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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=
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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The angle ∠22 and angle ∠24 are congruent because they are vertically opposite angles.
<h3>What is an angle?</h3>The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
The statements are given below.
∠22 = ∠24 (vertically opposite angle)
∠22 + ∠23 = 180 (linear angle)
The diagram is given below.
More about the angled link is given below.
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Answer:
Step-by-step explanation:
Given
Required
The exponent form
We have:
Apply the following law of indices;
So, the expression becomes: