An educator wants to determine whether a new curriculum significantly improves standardized test scores for students. she randomly divides 70 students into two groups. group 1 is taught using the new curriculum, while group 2 is taught using the traditional 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

Solution: An educator wants to determine whether a new curriculum significantly improves standardized test scores for students. she randomly divides 70 students into two groups. group 1 is taught using the new curriculum, while group 2 is taught using the traditional 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 sampling is independent.

And the response variable is quantitative.

Independent

Quantitative.

Step-by-step explanation:

A variable is called quantitative when it's result is a value, for example, a value between 0 and 100. Otherwise, if the results are concepts, for example grade A,B,C,D,F, it is qualitative. In this case, the mean test scores are compared, and the mean is quantitative. So the response variable is quantitative.

Also, the result of the group 1 has no impact on the result of the group 2, that is, the mean of these groups do not impact each other. So the samplings are independent.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)