Step-by-step explanation:
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X=3 because you collect the like terms then divide both sides by -8 so X=3
Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.
Explanation:
Since we have given that
Probability of the Galaxy team wins = 22%
Probability of the Komets team wins = 47%
So, Probability of the Komets losing their race is given by

We need to find the probability of the Komets losing their and the Galaxy winning their game .
Let Event K : Komets losing their game
Event G : Galaxy winning their game
Since these are two independent events,
So,

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.
question 6,
Answer : 35.7 degree from north
Step-by-step explanation:
Bearing is angle w.r.t the north.
To calculate this angle we need the angle of the triangle in the diagram.
We know two sides of the triangle the base (18) and Perpendicular(25).
Tan(x) = 25/18
arctan(25/18) = 54.24 deg
Subtracting from 90 to get angle w.r.t north 90-54.24 = 35.7
Question 7,
Solution: 33.12
Explaination
calculate the length of the straw within the glass.
It makes a right angle triangle with the glass, where the length is the hypotenuse.
the base is 9 (radius *2 = 4.5*2)
using Cos(x) = base / hypotenuse
cos(72) = 9 /Hypotenuse
Hypotenuse = 9/cos(72)
Hypotenuse = 29.12
total length is hypotenuse + the length protruding out(4)
29.12 + 4 = 33.12