Write an equivalent expression without parentheses and combine terms if possible 7(y + 7) - 11y
2 answers:
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Answer:
The 95% confidence interval for the population proportion is (0.778, 0.884).
Step-by-step explanation:
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.831.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion is (0.778, 0.884).
Given:
In the circle P, ABCD is inscribed quadrilateral.
And, ∠DAB = 110°, ∠ABC = 72°
To find the value of ∠ADC.
Theorem:
A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary [ sum of the opposite angles will be 180°]
According to the theorem,
Hence,
The value of ∠ADC is 108°.
Hence, Option b is the correct answer.