Answer:
The regular polygon is a nonagon
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the name of the regular polygon that each interior angle measures 140゚?
we know that
The formula to find the sum of the interior angles in a regular polygon is equal to

where
n is the number of sides of the regular polygon
a is the measure of each interior angle of the regular polygon
we have

substitute in the formula and solve for n





so
The regular polygon has 9 sides
therefore
The regular polygon is a nonagon
Answer:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Step-by-step explanation:
Information provided
n=400 represent the random sample taken
X=59 represent number of defectives from the company B
estimated proportion of defectives from the company B
is the value to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Answer:
Step-by-step explanation:
multiply first,
so 2√6 x √8 = 2√48 (because when radicals are multiplied we add them)
so
2√48 can be simplified to 8√3 and 2√12 can be simplified to 4√3
8√3+4√3=12√3
Answer:
6 feet
Step-by-step explanation:
Let x represent the length of "another side." Then "one side" is ...
2x -10 . . . . . . 10 feet shorter than twice another side
The sum of these two side lengths is half the perimeter, so is ...
x + (2x -10) = 14 . . . . . two sides are half the perimeter
3x = 24 . . . . . . . . . . . . add 10, collect terms
x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x
(2x -10) = 2·8 -10 = 6 . . . . find "one side"
We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.
Answer:
34
Step-by-step explanation:
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