An educator wants to determine whether a new curriculum significantly improves standardized test scores for third grade students. she randomly divides 60 third dash graders into two groups. group 1 is taught using the traditional curriculum, while group 2 is taught using the new curriculum. at the end of the school year, both groups are given the standardized test and the mean scores are compared. determine whether the sampling is dependent or independent. indicate whether the response variable is qualitative or quantitative.

the given growth  function for the length of the fish (cm) is

f(m) = 5(1.07)m = 5.35m

where 

m = months

at the end of the study, the length is 9.19 cm. the  time for conducting the study is determined as

5.35m = 9.19

m = 1.7178 months

part a.

the study was performed over a time period  of about 1.72 months. therefore  the domain for  plotting the function is 0 < = m < = 1.72.

note:

if growth  continues at this rate for up to m months, then the domain would be 0< =m< =m.

part b.

the growth function is a linear function.

when m=0, f=0.

therefore the initial growth is zero, which represents the y-intercept.

part c.

assume that the growth function is valid for 0< =m< =9.

the average rate of change of the function is the slope of the linear function, which is 5.35 cm/month.

answer: 1/6

six accounts equally distributed

a = π r² (\frac{x}{360} )

360a =   π r² x

\frac{360a}{\pi r^{2}}   = x

step-by-step explanation: