Select the correct answer64 : 8 :: 0.01 : ?Options10.1100.08

The correct answer is 0.01.

Here's the step-by-step solution:

1. The problem is a proportion, which is a statement that two ratios are equal. In this case, the ratio is 64:8.

2. Simplify the ratio 64:8 to its lowest terms. 64 divided by 8 equals 8, so the simplified ratio is 8:1.

3. The second part of the proportion is 0.01:?. To find the missing value, set up the proportion as an equation and solve for the unknown.

4. The equation is 8/1 = 0.01/?. Cross multiply to solve for ?.

5. 8 * ? = 0.01 * 1. Simplify the right side of the equation to get 8 * ? = 0.01.

6. Divide both sides of the equation by 8 to solve for ?. ? = 0.01 / 8.

7. ? = 0.00125. However, this is not one of the options given.

8. There seems to be a mistake in the problem or the options provided. None of the options match the correct answer.