Answer:
Reflection over y axis, and translate right 1
Step-by-step explanation:
Answer:
5%
Step-by-step explanation:
Probability is the likelihood of an event taking place.
-Given there are 95 white and 5 blue pieces, the total number of papers is 100.
-The theoretical first attempt probability is equivalent to the number of each paper divided by the total:
Hence, the theoretical probability that a blind-folded person draws a blue piece of paper on the first attempt is 0.05 or 5%
10% of 75 is 7.5
1% of 75 is .75
.1% of 75 is .075
.5 of 75 is .375
Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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Answer:
Jake is incorrect with his methodology for solving these problems
Step-by-step explanation:
Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27
