Answer:
Both angles x and y are 69 degrees
Step-by-step explanation:
Because the angle with measure 69 degrees and angle x are alternate interior angles, they have equal value. Therefore, x has measure 69 degrees. Because this figure is a trapezoid, angle y is supplementary to the angle with measure 111 degrees. Therefore, y=180-111=69 degrees as well. Hope this helps!
This is how you would solve the question.
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The sample size is 
The proportion that choose to vaccinate the teen boys is 
considering the first statement
The 95% confidence interval is 12% ± the margin of error*standard deviation is false because
The 95% confidence interval is is %12 ± the margin of error
considering the second statement
The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem
np = 64 * 0.12 = 7.68
and this value is less than 10 hence the confidence interval should not be calculated
considering the third statement
A 99% confidence interval will be smaller than the 90% confidence interval is false
This is because as the confidence level increase (for example from 90% to 99%) the margin of error increase which increases the confidence interval
Answer:
Domain: x is all real numbers
Range: y is less than or equal to 5
Answer:
B. 26.99 ft.
Step-by-step explanation:
The formulas for circumference (C) and area (A) are ...
A = πr²
C = 2πr
Solving the area formula for r, we get ...
r = √(A/π)
Substituting this into the circumference formula gives ...
C = 2π√(A/π) = 2√(πA)
For the given circle, the numbers are ...
C = 2√(3.14×58 ft²) ≈ 26.99 ft