Installation of some software package requires downloading 82 files. On average, it takes 15 seconds todownload one file, with a variance of 16 sec2. What is the (approximate) probability that the softwareis installed in less than than 20 minutes? (Use the Central Limit Theorem)

What is the length of the missing leg in this right triangle? 18 mm 24 mm 26 mm 32 mm

The average human heart beats 1.15 \cdot 10^51.15⋅10 5 1, point, 15, dot, 10, start superscript, 5, end superscript times per day. there are 3.65 \cdot 10^23.65⋅10 2 3, point, 65, dot, 10, start superscript, 2, end superscript days in one year.how many times does the heart beat in one year? write your answer in scientific notation, and round to one decimal place.

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.