<u>ANSWER:</u>
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<em>so</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>of</em><em> </em><em>option</em><em> </em><em>D</em><em>.</em>
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B. 0.5 or 50%
The answer would be B because there are 10 possible colors of marbles and an equal amount of them in the bag, you want to know the probability of picking five of the ten possible colors which is 50% of the total marble colors.
Hope this helped! (Brainliest would be nice only if you think i deserve it)
Answer:
a. k = 24 b. y =
Step-by-step explanation:
a. Find the value of the constant k
Since is a solution of d²y/dt² -10dy/dt + ky = 0, then must satisfy the equation.
So, d²y/dt² = and dy/dt =
So, d²y/dt² -10dy/dt + ky = 0
- 10() + k() = 0
- + = 0
- + = 0
- = -
So, k = 24
b. Find the general solution to this equation.
Since k = 24, our equation is
d²y/dt² -10dy/dt + 24y = 0
The characteristic equation is thus
m² - 10m + 24 = 0
Factorizing this we have
m² - 6m - 4m + 24 = 0
m(m - 6) - 4(m - 6) = 0
(m - 6)(m - 4) = 0
m - 6 = 0 or m - 4 = 0
m = 6 or m = 4
Since we have real roots for the characteristic equation, then, the general solution is
y =