3must answer ! 1. suppose you select a card at random from a standard deck of cards 60 times, and 12 of those selections are hearts. how does the experimental probability compare to the theoretical probability? include the difference between both types in your explanation. 2. determine if each of the following pairs of events is dependent or independent of each other: 1. flipping a coin, then rolling a die 2. drawing a card from a deck of 52 cards, then drawing a second card 3. rolling a die, then rolling a second die 4. spinning a game spinner twice 5. taking and eating a candy from a jar that contains equal amounts of cherry and orange candies, then taking a second candy. give an example of an event that is certain and an event that is impossible. what are the probabilities for each event? 3. thomas rolled a six sided die 100 times. he recorded his results as odd or even. the number of odds were 42 and the number of evens were 58. he thought he would get 50 heads and 50 tails. explain to thomas why the experimental probability may be different from the theoretical probability.
f(x) = y
f(-3) = -5
47 - 90 = 43
43 - 180 = x
x = 137
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 4: join points n and y using a straightedge.
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.