A^2 - b^2 = (a+b) (a-b) where a = x and b = 4y
303 is x% of 600
In math...
"is" means =
"of" means ×
303 = x% × 600
303 = 600x
303/600 = x
.505 = x
multiply by 100 to convert to percent (move decimal to the right 2 places).
.505 × 100 = 50.5%
303 is 50.5% of 600
<h3>
Answer: Choice B</h3>
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Explanation:
The requirements for a probability distribution are this
- The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say
where p is an individual probability. - The probabilities must sum to 1.
Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.
We can also rule out choice D since the probabilities sum to this
0.20+0.15+0.20+0.20+0.20+0.20 = 1.15
The sum is too large. The sum needs to be 1.00 or just 1.
So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.
For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.
You can use the formula ...
... (percent change) = ((new amount) - (original amount))/(original amount) × 100%
Filling in the given information, this tells you ...
... (percent change) = ($21 -$28)/($28) × 100%
... = (-7/28) × 100%
... (percent change) = -25%
A negative percent change is a decrease, so the change in price is a ...
... 25% decrease