Answer:
(8x + 1)° + ( 4x+11)° = 180° (linear pair )
8x +1 + 4x +11 = 180
8x + 4x + 1 + 11 = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x= 168/12
x = 14
The arc length is 0.69813170079773
Answer:
The proportions differ from those reported in the survey.
Step-by-step explanation:
The Chi-square goodness of fit test would be used to determine whether the proportions differ from those reported in the survey.
The hypothesis for the test can be defined as follows:
<em>H</em>₀: The proportions does not differ from those reported in the survey.
<em>Hₐ</em>: The proportions differ from those reported in the survey.
Assume that the significance level of the test is, α = 0.01.
The Chi-square test statistic is given by:

Consider the Excel sheet provided.
The Chi-square test statistic value is 191.32.
The <em>p</em>-value of the test is:

The <em>p</em>-value of the test is very small. The null hypothesis will be rejected at 1% level of significance.
Thus, concluding that the proportions differ from those reported in the survey.
Answer: x=6.6969
Step-by-step explanation:
250-(33x)=29
-33x=-221
x=6.6969
I'm going to say 180 degrees