Answer:
The equation would be y + 1 = 3(x + 1)
Step-by-step explanation:
In order to find the equation of this line, we have to use the slope formula to find the slope.
m (slope) = (y2 - y1)/(x2 - x1)
m = (3 - -3)/(2 - 0)
m = (3 + 3)/(2 - 0)
m = 6/2
m = 3
Now that we have that, we can use it along with the second point to put into the point-slope equation.
y - y1 = m(x - x1)
y - -1= 3(x - -1)
y + 1 = 3(x + 1)
Answer:
f(x) = 300,000(1.05)^x
Step-by-step explanation:
Use the exponential growth equation:
f(x) = a(1 + r)^x
Plug in 300,000 as a, since it is the original population:
f(x) = 300,000(1 + r)^x
The city's population is growing at 5% each year, so plug in 0.05 as r:
f(x) = 300,000(1 + 0.05)^x
f(x) = 300,000(1.05)^x
So, the function for the population growth is f(x) = 300,000(1.05)^x
<em>Answer,</em>
C. 1650
<em>Explanation,</em>
<em>495/6 = 82.5</em>
<em>82.5 x 20 = </em><em>1650</em>
<u><em>Hope this helps :-)</em></u>
17 Answer: 205
<u>Step-by-step explanation:</u>


18 Answer: 1968
<u>Step-by-step explanation:</u>


19 Answer: -116
<u>Step-by-step explanation:</u>

The probability from 1.5 ≤ x ≤ 3 can be calculated by dividing the Area from x=1.5 to x=3 by the total Area of the distribution.
The given distribution is rectangular shaped, so its Area will be = Length x Width = 1 x 3 = 3 square units
From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.
Thus, <span>P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
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