Sofia tosses a bottle cap to see how it lands. she repeats this experiment 60 times and records the results in this table. landing position times result occurred top up 9 top down 48 on its side 3 which statement is true based on the results in the table? a. all of the outcomes are not equally likely because there is a lot of variation in their relative frequencies. b. all of the outcomes are equally likely because the relative frequencies of the cap landing top up and on its side do not vary much. c. all of the outcomes are equally likely because their relative frequencies are multiples of 3. d. all of the outcomes are not equally likely because the relative frequency of the cap landing on its side is the lowest.

A. All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.

Step-by-step explanation:

There are 2 ways to find the probability of an event: theoretical calculation or experimentation.

In this case Sofia uses the experimental method.

Therefore she must repeat the experiment of throwing the lid a number of times n. Where n must be a large number to get more accurate results.

When a series of events are equally likely, then, for a number of trials, the frequency of occurrence of each event should be similar. On the other hand, if the frequency of occurrence of the events is significantly different, it can be concluded that the events do not have the same probability of occurrence.

In this experiment, the relative frequencies are:

times for top up

times for top down

 times for it's side

Note that the frequencies are significantly different for the 60 trials, so: All of the outcomes are not equally likely

A. All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.

Step-by-step explanation:

he has now walked a total of what?

if i know what this is maybe i can

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺