Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
Answer: You add up all the terms given of EACH angle, and make this an addition problem that is "equal to 180" ; since all triangles have three angles that add up to 180 degrees. Then you solve for "x".
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(as follows) ; to get: " x = 29 ⅔ ° " .
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3x + 4 + 2x + x + 8 = 180 ;
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Combine the "like terms" ;
3x + 2x + x = 6x ;
4 + 8 = 12
So, we have: 6x + 12 = 180 ;
Now, subtract "12" from each side of the equation:
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6x + 12 − 12 = 180 <span>− 12 ;
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to get:
6x = 178 ;
Now, divide EACH SIDE of the equation by "6" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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6x / 6 = 178 / 6 ;
to get: x = 178/6 = 29 ⅔ ° .
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x = 29 ⅔ ° .
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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:
6.28
Step-by-step explanation:
2 x 3.14
