Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.
This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.
What is 22% of 46?
Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.
Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.
So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].
0.46 × 22 = 10.12
Answer: 22% of 46 is 10.12.
Hope this helped :)
<h3>
Answer: 8</h3>
Reason:
Replace p with 2 and evaluate.

Think of a cube that is 2 units along each side. It's volume is 2*2*2 = 8 cubic units. Repeated multiplication can be shortened to using exponents.
Another example: 
Answer:
The probability that a part was manufactured on machine A is 0.3
Step-by-step explanation:
Consider the provided information.
It is given that Half of a set of parts are manufactured by machine A and half by machine B.
P(A)=0.5
Let d represents the probability that part is defective.
Ten percent of all the parts are defective.
P(d) = 0.10
Six percent of the parts manufactured on machine A are defective.
P(d|A)=0.06
Now we need to find the probability that a part was manufactured on machine A, and given that the part is defective
:



Hence, the probability that a part was manufactured on machine A is 0.3
Answer:
the angle of elevation of the sun is 
Step-by-step explanation:
Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.
Notice that our unknown is the angle
, and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because:
