To test the effectiveness of a new, cholesterol-lowering drug, a group of researchers recruits 200 volunteers with high cholesterol to take part in a study. The researchers place the numbers 1 through 200 in a hat and have each participant select a number. Those who picked an odd number receive the new drug, while those who picked an even number receive a placebo. Which experimental design are the researchers using? a. Representative Sample Design
b. Completely Randomized Design
c. Matched-Pair Design
d. Randomized Block Design

c. Matched-Pair Design

Step-by-step explanation:

The experimental research study showcased above exhibits two different treatments groups ; the new cholesterol lowering drug and the placebo. The allocation of observations or subjects into groups was based on pair selection which is based on whether subjects picked an even or odd number. Subjects who picked the odd are moved to the treatment group of the new drug while those who picked an even number are referred to the placebo treatment group. This type of research design which involves two pairs of treatment and allotment pattern is called a matched pair research design

Completely Randomized Design

Step-by-step explanation:

Rationale: When all patients aer assigned treatment or control randomly without considering other factors, this is called a cmpletely randomized design.

d≈7.07in

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752