Acertain forum reported that in a survey of 2009 american adults, 23% said they believed in astrology.

(a) calculate a confidence interval at the 9% confidence level for the proportion of all adult americans who believe in astrology. (round your answers to three decimal places.)
interpret the resulting interval.

a. we are 99% confident that the true population mean lies above this interval.
b. we are 99% confident that the true population mean lies below this interval.
c. we are 99% confident that this interval does not contain the true population mean.
d. we are 99% confident that this interval contains the true population mean.

(b) what sample size ould be required for the width or a 99% ci to be at most 0.05 irrespective of the value of p? round your answer up to the nearest intege

On the first of each month sasha runs a 5k race she keeps track of her times to track her progress her time in minutes is recorded in the table

Ethan is proving that the slope between any two points on a straight line is the same. he has already proved that triangles 1 and 2 are similar. drag statements and reasons to complete the proof.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?