Answer:
Student 1 has the correct answer
Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.
Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.
Answer:
Step-by-step explanation:
Remark
I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4
If that is the case then what you have so far is
Solution
y = 4x + b
The given point determines b
<em>Givens</em>
x = 3
y = 2
<em>Given point</em>
2 = 4*3 + b
2 = 12 + b
b = 2 - 12
b = -10
The equation is y = 4x - 10
Ok so this is how you do it.....
You need to get x by itself.
8x + c = k
Subtract c.
8x = k - c
Divide 8 from both sides.
x = k - c / 8
I hope this helps love! :)
So let f(x) = x^(2/3)
<span>Then let f'(x) = 2/3 x^(-1/3) = 2 / (3x^(1/3)) </span>
<span>When x = 8, </span>
<span>f(8) = 8^(2/3) = 4 </span>
<span>f'(8) = 2 / (3*8^(1/3)) = 1/3 </span>
<span>So near x = 8, the linear approximation is </span>
<span>f(x) ≈ f(8) + f'(8) (x - 8) </span>
<span>f(x) ≈ 4 + 1/3 (x - 8) </span>
<span>So the linear approximation for x = 8.03 is... </span>
<span>f(8.03) ≈ 4 + 1/3 (8.03 - 8) </span>
<span>f(8.03) ≈ 4 + 1/3 (0.03) </span>
<span>f(8.03) ≈ 4.01 </span>
<span>8.03^(2/3) ≈ 4.01 </span>
Answer:
square; perimeter 20 units; area 25 square units.
Step-by-step explanation:
As the attachment shows, each side of the polygon is the hypotenuse of a 3-4-5 right triangle, so has length 5 units. The perimeter is the sum of those lengths, 4×5 = 20; the area is the product of the lengths of adjacent sides, 5×5 = 25.
The figure is a square of side length 5 units.
The perimeter is 20 units; the area is 25 square units.
