##### need answer please to these following questions

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Completed in order

9/30 which is 30% experimental we use the data from the table to conclude our results

theoretical probability is 1/4 since there are 4 suits and only 1 of them is hearts

18/30 since we add the spades and the diamonds tally together then divide it by the total. so the probability is 60%

the probability of getting a spade is 1/4 and diamond is 1/4 so 1/4+1/4= 1/2 or 50%

In short theoretical probability is the expected probability based on the number of suits, however ,experimental is when we actually perform the action and see that it should be close but may not be exact to the theoretical probability because that is if we are in a perfect universe in which experimental = theoretical but in reality eperimental should be close to theoretical but is rarely equal to

Second set of questions

blue = 12/80 brown = 58/80 green = 2/80 and hazel 8/80 what i did is take the number from the table and divide it by the total

blue or green eyes so in this case we add blue and green together 12+2= 14 but the total sampled is still 80 so the probability is 14/80

does not have green or hazel eyes. so they either have blue or green which means 12+58 = 70 and the total is still 80 so the probaiblity is 70/80 or you can find the number of people who have green or hazel eyes which is 10 then subtract that from the total (80) to get 70 and then divide by 80 to get the probability

well 360 is 4.5 times bigger than 80 so all we do is multiply our numbers by 4.5. but all we need is brown so 58*4.5 =261 students is what we expect. We can only do it this way since it says it has a similar distribution if it did not then we could not do it this way. as you see the proportion of brown students 58/80 = 72.5% and 261/360 = 72.5% is the same.

Sorry just saw those give me a few minutes please

YOUR SOCK DRAWER IS A MESS

white 12/20 blue 1/20 black 3/20 tan 4/20 you take the number from the table then divide it by the total.

so 20 is .3125 of 64 or 64 is 3.2 times 20 which means we take the number and multiply it by 3.2

so .... white 12*3.2 is 38.4/64 blue 3.2/64 black is 9.6/64 and tan is 12.8/64 now what i would do is make it whole so 38/64 3/64 10/64 13/64 respectively white blue black tan

c.

in this case we just divide by 2 since the total is half of what it was originally

38/2 19/32 white blue is 1.5/32 5/32 black and 6.5/ 32 tan again round 19/32 white blue 2/32 5/32 black and 7/32 tan now we see that the total is 33 but thats find its a rounding issue so either we have 1 too many blue or tan socks. But we dont know because were predicting

It was close since 19/32 or 8.5/16 which is 9/16 (we divide by 2 to get it into easier calculations for us) and we had 8/16

blue is very close since we had 2/32 and we divide by 2 and get 1/16 and it said we had 2 pairs of blue

tan is not close since we had 7/32 or 4/16 and we had none actually

black had 5/32 which is 3/16 and this is only half of what we had in the drawer which is 6/16

so some of them were close while others werent

I thought i answered that one but i believe something happened and it got lost, give me 10-15 minutes

1. 4 kings so 4/52

2. 6/15 since there are 6 green marbles and 15 in total

3. not blue which is red+green which is 6+5 = 11/15 is your probability

4. 1,3,5 so 3/6 or 1/2 since there are 6 total options

5. jack or queen there are 4 jacks and 4 queens and 52 cards in total so 8/52

6. 1,3,5,7 and even 2,4,6 which means that there are 4 odd numbers out of 7 or 4/7

7. 0/6 since getting a 7 is impossible because it does not exist

8. 4 queens 4 kings and 4 aces which total 12 and there are 52 cards in total so 12/52

9. 2/11 since there are 2 i's and 11 letters

10. sample space is 11 and is made of 1P 1R 1O 2B 1A 2I 1L 1T 1Y

hope this helps

Getting a little challenging, may take a little longer

1. the point is on AB is 5/12

2. 4+3 = 7/12

3. 12/12 since it must exist on this line

4. BC 4/12 or 1/3

the next few will take longer since i have to calculate the area

The total area is 35cm^2

5. the triangle area is 6cm^2 so landing inside is 6/35

6. the square's area is 4cm^2 so landing inside is 4/35

7. triangle or or square so we add them together and is 10/35.

8. not in the triangle so 35-6 (the area of landing inside) which is 29/35

9. in the shaded region so not in the triangle or the square so 35-10 = 25/35

10. the area of the circle is 63.61725 the circle inside (white area) is 28.27433388 so we take 63-28 and get 35.342916112/63.61725 s our probaiblity of landing in the shaded region or 55.5555%

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