Use the following probability distribution in order to answer the probabilities that follow. x P(X = x) 1 0.05 2 0.22 3 0.35 4 0
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The distance between points S' and S is x= 2.5 units.
<h2>Given that</h2>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.
Point Q is the center of dilation.
Line segment ST is dilated to create line segment S prime T prime.
The length of QT is 1. 2 and the length of QS is 2.
The length of SS prime is x and the length of TT prime is 1. 5.
<h3>We have to determine</h3>What is x, the distance between points S' and S?
<h3>According to the question</h3>Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.
Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.
Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.
We know that the corresponding sides of two similar triangles are proportional.
So, from ΔSTQ and ΔS'T'Q.
Hence, the distance between points S' and S is x= 2.5 units.
To know more about Pythagoras Theorem click the link given below.
Answer:
Part A: Data summary is given in the table
Part B: out of the total 100 students, 15 students do not like either tennis or track
= 0.15
0.15 × = 15%
Part C:
Total no. of students that dislike track = 60
Total no. of students that dislike tennis = 40
According to the survey results, more people dislike track.
