I NEED HELP ASAP Clara is playing a board game. The game has five cards with a different shape on each card. When a player draws a card, they go to the next spot on the board that has the shape shown on the card. The cards are shown below.

Complete the table by matching the number of trials and the expected frequency for each shape.

See the attached image below

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Explanation:

The problem doesn't state this, but I'm assuming we have the same amount of each type of card. For instance, we could have 10 of each card.

The probability of getting any one type is 1/5 = 0.2 since there's one type we're after out of 5 shapes total. If we had 10 of each card, then the probability of getting a diamond is 10/50 = 1/5 = 0.2; note how there are 5*10 = 50 cards total.

If we expect 50 diamonds, then this must mean that 50/0.2 = 250 trials were conducted. You have the correct answer for the first box.

If we do 200 trials, then we expect (1/5)*200 = 40 cards would be a pentagon card. That explains row 2.

If we do 150 trials, then we expect (1/5)*150 = 30 star cards. The value 30 goes in the second box.

The value 300 goes in the third box. We find this by computing 60/0.2, or we can multiply 5 by 60. Note how (1/5)*300 = 60.

Lastly, if we conduct 50 trials, then we expect 10 circle cards because (1/5)*50 = 10.

Side note: the values 100 and 20 are not used.

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.