Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. after taking the sixth quiz, brooke’s mean score increased.

which could be brooke’s sixth quiz score? there is more than one.
85
90
83
86
92
89

we have

set of data

step

Find the mean  on Brooke first five quizzes

we know that

if Brooke's average score increased after the sixth exam,

then

Brooke’s sixth quiz score must be greater that the mean of the first five quizzes

Let

x--------> Brooke’s sixth quiz score

so

therefore

the answer is

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!