The average length of movies made in the us between 1994 and 2019 is 110 minutes. the length is approximately normally distributed with standard deviation of 10 minutes. rose and jack have decided to "binge watch 4 movies" during a recent holiday. let xi be the length of movie i, for i = 1, 2, 3 and 4. let x be the sum of the xi. find the following probabilities. a) the probability x is greater than 7 hours. b) the probability x is between 8 and 10 hours. c) the probability x is less than 6 hours.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

the answer is 1/4

step-by-step explanation:

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )

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