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3 years ago

3/20 = /40 = 15/. Find the missing numerators and denominators.

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Answer:

3/20=6/40=15/100

Step-by-step explanation:

Multiply 3 by 2 to figure out the numerator for /40 and multiply 20 by 5 to figure out the denominator of 15/

Mazyrski [523]3 years ago

5 0

Answer:

6/40

15/100

Step-by-step explanation:

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Answer:

Pythagorean theorem $a^{2} +b^{2} =c^{2}$

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2 years ago

Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

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I'll assume the ODE is

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$y'' - 3y' + 2y = 0$

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has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

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take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

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$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

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$y'' - 3y' + 2y = e^{-x}$

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$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

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$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

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$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

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1 year ago

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Zolol [24]

Answer:

The probability that the person is between 65 and 69 inches is 0.5403

Step-by-step explanation:

Mean height = $\mu = 66$

Standard deviation = $\sigma = 2.5$

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$Z=\frac{x-\mu}{\sigma}$

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Hence the probability that the person is between 65 and 69 inches is 0.5403

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