The value of x is: 
<u><em>Recall</em></u>:
Perimeter of a shape is the sum of all its sides
<em>Thus</em>:
Perimeter of the triangle = 
Perimeter of the rectangle = 
We are told that the perimeter of both shapes are equal. Set both perimeters equal and solve for x.
<em>Add like terms</em>
<em />
<em>Divide both sides by 3</em>
<em />
The value of 
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Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Answer:
2.33 = BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = AC / BC
tan 25 = AC / 5
Multiply each side by 5
5 tan 25 = BC
2.331538291 = BC
To the nearest hundredth
2.33 = BC
Answer:
A I am pretty sure becuase I know math LOL
Step-by-step explanation:
Answer:
I think its b
Step-by-step explanation:
