Aresearcher randomly surveyed two separate age groups to determine the number of hours teens spend on the internet each week. the results are shown in this table. 13- to 14-year-olds 12 8 7 8 9 6 7 7 9 10 15- to 16-year-olds 15 6 21 12 13 12 8 9 7 10 based on these results, which conclusions can you draw about these two groups of teens? select each correct answer. a. on average, 15- to 16-year-olds spend a few hours more on the internet each week compared to 13- to 14-year-olds. b. on average, 15- to 16-year-olds spend a few hours less on the internet each week compared to 13- to 14-year-olds. c. on average, the two groups of teens spend about the same amount of time each week on the internet. d. the amount of time that 15- to 16-year-olds spend on the internet each week is more variable than the amount time 13- to 14-year-olds spend. e. the amount of time 15- to 16-year-olds spend on the internet each week is less variable than the amount time 13- to 14-year-olds spend. f. the amount of time that the two groups spend on the internet each week varies by about the same amount.

Option A and D.

Step-by-step explanation:

In this question the given table is of two separate age groups to determine the number of hours teens spent on the internet each week.

From the table

average hours spent by teens between the age of 13-14 years old

=  (12+8+7+8+9+6+7+7+9+10+15)/10 = 83/10 = 8.3 hours

average hours spent by teens between age of 15-16 years old

=(15+6+21+12+13+12+8+9+7+10)/10 = 113/10 = 11.3 hours

From these averages we can conclude

A) 15-16 year old spend a few hours more than 13-14 year old teens.

D. The amount that 15-16 year old teens spend on internet is more variable than the time spent by 13-14 years old.

Option A and D are the correct options.

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 ☺

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )