Jane publishes a blog on bird-watching, with field notes and pictures of her trips around the country. Recently she decided to conduct a poll among 400 of her subscribers, and found that 68% of those polled have liked at least one of her blogs, they have posted an average of 3.1 comments per blog, and 149 have liked all of her blogs. Later she found out that her website already has this information for all of her subscribers. According to her website, she has a total of 10,985 subscribers, of whom 75% have liked at least one of her blogs, they have posted an average of 2.4 comments per blog, and 4135 have liked all of her blogs. Required:
For Jane's blog poll, identify the population and the sample.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.