A survey asked people if they were aware that maintaining a healthy weight could reduce the risk of stroke. A 97% confidence interval was found using the survey results to be (0.45, 0.67). What is the correct interpretation of this interval?

97% confidence interval for the survey is between a lower limit of 0.45 and an upper limit of 0.67

Step-by-step explanation:

Confidence Interval is given by the mean + or - error margin

The lower limit of the confidence interval is found by subtracting the error margin from the mean.

The upper limit is obtained by adding the error margin to the mean.

The interpretation is that the mean is between 0.45 and 0.67

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).