Answer:
Population: 38.64. Sample: 43.20
Answer:
(x+2)² + (y-3)² = 26
The graphic is showed below
Step-by-step explanation:
The circle equation is given by the expression:
(x-a)² +(y-b)² = r²
The point (a,b) represents the center, and r is the radius. So:
(x+2)² + (y-3)² = r²
If the point A (3,2) is on the circle, then we can replace it in the equation to find r:
(3+2)² + (2-3)² = r²
r² = 5² + (-1)²
r² = 25 + 1
r² = 26
So, the circle has radius r = √26, and the equation is:
(x+2)² + (y-3)² = 26
To graph it, we must put the center C(-2,3), then the radius r = √26 and form a circle, like the figure below.
9514 1404 393
Answer:
5 and 15
Step-by-step explanation:
Let x represent the smaller number. Then the larger is x+10. The sum is ...
2x +3(x+10) = 55
5x +30 = 55
5x = 25
x = 5
The two numbers are 5 and 15.
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<em>Check</em>
2·5 + 3·15 = 10 +45 = 55
Answer: 678
Step-by-step explanation:
The product of two numbers is them being multiplied.
45.2 x 15 = 678
Therefore, the answer is 678.