Answer:
Yes
Step-by-step explanation:
10,20,30,40,50 are all divisible by 5.
<h3>
Answer: Choice C</h3>
Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well
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Explanation:
P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55
Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.
The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".
We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.
Answer:
Part A: 5x² + 7x - 4
Part B: 5x³ - x² - 8x + 1
Part C: Yes.
Step-by-step explanation:
Part A: The length of two sides of a triangle are given by
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
Now, the total length of the two sides, 1 and 2, of the triangle will be
= (3x² - 2x - 1) + (9x + 2x² - 3)
= 5x² + 7x - 4 (Answer)
Part B: If the length of the third side is y and the perimeter of the triangle is (5x³ + 4x² - x - 3), then
y = (5x³ + 4x² - x - 3) - (5x² + 7x - 4) = 5x³ - x² - 8x + 1 (Answer)
Part C: The answers in the part A and part B are closed under addition and subtraction. (Answer)
Slope is the rise over run of a line. It represents the steepness of a line.
P is perimeter l is the length of one side and w is the length of one side
