2 years ago

Find the probability and its complement.

Mathematics

1 answer:

Sonbull [250]2 years ago

6 0

Answer: Boy- 46 %. not boy- 54%

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A fair coin is tossed 6 times. Compute the probability of tossing 6 tails in a row.

Fofino [41]

Answer:

1/6

Step-by-step explanation:

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3 years ago

Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol

nordsb [41]

The ODE has an equilibrium point at

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba$

We want $y=2$ to be an unstable equilibrium solution - in other words, we want all solutions with initial condition $y(t_0)=c$ for $c$ near 2 to diverge from $y=2$ - so $-dfrac ba=2$ .

Divergence from $y=2$ would require that for $y>2$ , any solution is increasing, and for $y$ , and solution is decreasing. In order for that to happen, we need

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba$

if $y>2$ , and

$\dfrac{\mathrm dy}{\mathrm dt}=ay+b$

if $y$ .

Now we just pick $a,b$ to satisfy these conditions. An easy choice is $a=1$ , which forces $b=-2$ , so that one possible ODE would be

$\dfrac{\mathrm dy}{\mathrm dt}=y-2$

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

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3 years ago

Help me solve this. Thank youx

liubo4ka [24]

I guess it's b

${x}^{2} + 8x + 16 \\ \\ 1. \: {x}^{2} + 2(x)(4) + {4}^{2} \\ 2. \: (x + 4)^{2}$

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2 years ago

What is the midpoint of AB if A = (−2, 2) and B = (3, −1)?

Irina-Kira [14]

Midpoint formula (x1 + x2) / 2, (y1 + y2)/2
(-2,2)...x1 = -2 and y1 = 2
(3,-1)...x2 = 3 and y2 = -1
now we sub
m = (-2 + 3) / 2 , (2 - 1) / 2
m = (1/2, 1/2) <===

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3 years ago

Pleaseeeeeeeeee helpppppppp

Lerok [7]

1) The slope is 2 and the y-int is 4.
2) the slope is 1/3 and the y-int is 4-.

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3 years ago