2(3x+4)=y and y=6x+5 has only one solution
1 answer:
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Answer:
16.2 m
Step-by-step explanation:
First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so
a²+b²=c², with c being the side opposite the right angle (the cable), getting us
10²+(length of pole)² = 19²
19²-10²=(length of pole)²
= 261
square root both sides to isolate the length of the pole
length of pole ≈ 16.2 m
Answer:
see below
Step-by-step explanation:
a) median : re-arranged the numbers in order. i.e. min to max
gold: 147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022
<u>212 + 227</u><u> </u> = 219.50
2
silver: 147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794
<u>178 + 241 </u> = 209.50
2
bronze: 151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704
<u>193 + 260 </u>= 226.50
2
b) mean : sum of all numbers divide by n, where n=10
gold: = (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10
= 311.40
silver: = (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10
= 282.30
bronze: = (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10
= 280.60
c) standard deviation on population (STDEV.P)
Australia = 16.44
china = 33.03
france = 19.74
germany = 30.21
great britain = 13.89
hungary = 12.04
italy = 11.44
soviet union = 48.46
sweden = 13.47
united states = 133.84
