After getting trounced by your little brother in a​ children's game, you suspect the die he gave you to roll may be unfair. To​check, you roll it 48 ​times, recording the number of times each face appears. Do these results cast doubt on the​ die's fairness?

Face Count

1 9

2 11

3 6

4 6

5 9

6 7

​a) If the die is​ fair, how many times would you expect each face to​ show?

​b) To see if these results are​ unusual, will you test​goodness-of-fit, homogeneity, or​ independence?

​c) State your hypotheses. Choose the correct answer below.

​d) Check the conditions. Is the counted data condition​met?

​e) How many degrees of freedom are​ there?

​f) Find chiχsquared2 and the​ P-value.

7

step-by-step explanation:

yuo ned the activity or vertical angle of the form of 1,7 but 2,2 has a c4,2 as it verticie so i not have a car

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

answer: 140

step-by-step explanation:

so just add all then it will be your answer but i am not pretty sur eif it is but hope this i am here to people

93-8=85

855=17

17*4=68

there are 68 purple marbles in that bag