The ratio of the height (h) of the streetlight to its distance to the end of Laura's shadow is the same as the ratio of Laura's height to her distance from the end of her shadow.
.. h/(12+9) = 5'4"/9
.. h = (21/9)*5'4" = 12 4/9 feet
.. h = 12 ft 5 1/3 inches
The streetlight is 12 ft 5 1/3 inches tall.
Answer:
X²+y²+2x-10y+18=0 is the equation of circle
Step-by-step explanation:
Eqn of circle is: (x-h) ²+(y-k)²=r²
At (h, k) =(-1,5) and r=8 where h, k are center and r is radius.
Eqn is :(x+1)²+(y-5)²=8²
Or, x²+2x+1+y²-10y+25=8
Or, x²+y²+2x-10y+18=0 is the equation of circle
Answer:
Step-by-step explanation:
x ≈ 4.66667
Mean: $620, Mode: $600
Let's sort the rank stats.
First quartile: $580
Median: $610
Third quartile: $645
85th percentile: $685
OK, we're ready. What happened to a and b?
c. $645 is the third quartile, 75th percentile. That means 25% of the salaries are higher.
Answer: 25%
d. $685 is the 85th percentile, 15% greater.
Answer: 15%
e. The mean is the sum of all the salaries divided by the count.
Mean = Sum / Count
So the sum is the count times the mean,
Sum = Count × Mean = 100 × $620 = $62,000
Big payroll.
Answer: $62,000
