Answer:
That looks awesome!
Step-by-step explanation:
next up muffet mohawk frisk chelcy and undyne buzz cut
and after that undyne gets a mohawlk
Answer: 5.76 miles
Let the distance between Victoria and Georgetown on the map be represented by x.
The information given in the question can then be formed into an expression which will be:
0.9/x = 10.5/67.2
Cross multiply
(10.5 × x) = 67.2 × 0.9
10.5x = 60.48
x = 60.48/10.5
x = 5.76
The answer is 5.76 miles
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
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= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
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Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
----------------------------------------------------
(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32
no
8, 10, 6
10 - 8 = 2
2 + 6 = 8
9514 1404 393
mutually exclusive
The formula of interest is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, we have ...
9/10 = 2/5 + 1/2 - P(A and B)
Solving for P(A and B), we get ...
P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10
P(A and B) = 0
__
Events are mutually exclusive when <em>they can never happen at the same time</em>. That is, P(A and B) = 0.
The events A and B are mutually exclusive.