3 years ago

In a standard normal distribution 95% of the data is within +/- _______standard deviations of the mean.

Mathematics

2 answers:

raketka [301]3 years ago

8 0

Your answer is 2 okay

dybincka [34]3 years ago

6 0

Answer:

Step-by-step explanation:

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Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

Llana [10]

Answer:

Step-by-step explanation:

$\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t}$ where f(x) is replaced by y

Take Laplace on both sides

$s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) = \frac{10}{s+2}\\Y = \frac{10}{(s+2)(s+4)(s+8)}$

We can resolve into partial fraction to get Y = L(y)

Let this equals

$\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\$

Solving we get

s=-9

24C = 10 or C =5/12

s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

$y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}$

6 0

3 years ago

Y = x + 2<br> y = 3x - 4

exis [7]

Answer:

x=3; y=5

Step-by-step explanation:

y=x+2

y=3x-4

so x+2=3x-4

2x=6

x=3

because y=x+2

x=3

so y=3+2

8 0

3 years ago

3(2x+5)=36<br>what is the value of x

Bond [772]

$3(2x+5)=36\\
6x+15=36\\
6x=21\\
x=\frac{21}{6}$

6 0

3 years ago

Help help help hehelp help

Nookie1986 [14]

C, always go with supervisors

6 0

3 years ago

Read 2 more answers

What mathematical question can we ask

lilavasa [31]

Be specific please!!!

5 0

3 years ago