The coordinates of three vertices of a rectangle are (4, –5), (4, –3), and (5, –3). What point is the fourth vertex?
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Answer: Hello your question is poorly written attached below is the complete question
answer:
0.1515
Step-by-step explanation:
Number of bets = 200
mean number of losses = $0.2
Standard deviation = $2.74
<u>Determine P ( winning after 200 bets ) </u>
Average of 200 bets > 0. i.e. P( X > 0 )
considering normal distribution : μ = -0.2 , б = 2.74 , n = 200
applying Z - distribution
z = 0 - ( - 0.2 ) / ( 2.74 / √200 ) ≈ 1.03
∴ P ( z > 1.03 ) = 1 - P ( z < 1.03 )
= 1 - 0.8485 ( value gotten from z-table )
= 0.1515
<u>Explanation</u><u>:</u>
From the given figure ,
AB || CD
PQ is a transversal
Given angles are 50° and 130°
50° and x are linear pair
⇛ 50°+x = 180°
⇛ x = 180°-50°
⇛ x = 130°
Therefore, "x" = 130°
and
130° and y are vertically opposite angles which are equal.
⇛ "y" = 130°
Therefore, y = 130°
<u>Additional</u><u> </u><u>comment</u><u>:</u><u>-</u>
- If two parallel lines Intersected by a transversal then
- Corresponding angles are equal.
- Vertically Opposite angles are equal.
- The sum of two adjacent angles is equal to 180° then they are called Linear Pair.
