A scientist was interested in studying if students religious beliefs change as they go through college. One hundred randomly selected students were asked before they entered college if they would consider themselves religious, yes or no. Four years later, the same 100 students were asked if they would consider themselves religious, yes or no. The scientist decided to perform McNemar's test. The data is below. What is the null hypothesis? After College(four years later) Before College Yes No Yes 55 23 No 11 11

a. H0: p1-p2=0
b. H0:mu1-mu2=0
c. H0: mu = 0
d. H0: p = 0
e. H0:mud=0

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.