Answer with Step-by-step explanation:
We are given that two events A and B are mutually exclusive.
a.For mutually exclusive events,
Therefore, event A can not occurred if event B has occurred because two events can not occur together.
Answer:No, by definition mutually exclusive events cannot occur together.
b.When two events are independent
Then , 
If two events are mutually exclusive then
Then , 
Therefore, 
Hence, we can concluded that events A and B are not independent if they are mutually exclusive.
Answer:Yes,
<em>The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>
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Explanation:</h2>
The Standard Form of the equation of a line is given by:
So:
is written in Standard Form. The x and y intercepts are:
So:
FOR X-INTERCEPT:
FOR Y-INTERCEPT:
Finally,<em> the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>
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Answer:
68%
Step-by-step explanation:
The increase is (62 - 37), or 25, ounces. Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio). Multiplying this ratio by 100%, we get 68% (to the nearest percent).
Answer:
y = x³ + 2x² - 13x + 10
Step-by-step explanation:
Given
y = (x + 5)(x - 1)(x - 2) ← expand (x - 1)(x - 2)
= (x + 5)(x² - 2x - x + 2)
= (x + 5)(x² - 3x + 2)
Multiply each term in the second factor by each term in the first factor
= x(x² - 3x + 2) + 5(x² - 3x + 2) ← distribute both parenthesis
= x³ - 3x² + 2x + 5x² - 15x + 10 ← collect like terms
y = x³ + 2x² - 13x + 10
